factorise completely:
1. 3xy - x
2. 4a² - 9​

Answers

Answer 1

Answer:

x(3y - 1) and (2a - 3)(2a + 3)

Step-by-step explanation:

(1)

3xy - x ← factor out x from each term

= x(3y - 1)

(2)

4a² - 9 ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b) , then

4a² - 9

= (2a)² - 3²

= (2a - 3)(2a + 3)


Related Questions

pls answer need help.

Answers

The missing angles and side measures are:

Angle A = 40°

Angle C = 70°

Side AC = 12 cm

What is a triangle?

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

Triangle ABC is an isosceles triangle.

This means,

Two sides of the triangle are equal and the angle opposite to the sides are also equal.

Now,

Angle C and Angle B are equal.

Angle C = Angle B = 70°

The sum of the three angles is 180 degrees.

Angle A + Angle B + Angle C = 180

Angle A + 70 + 70 = 180

Angle A = 180 - 140

Angle A = 40°

Thus,

The angles of the triangle are 70, 70, and 40.

The sides of the triangle are 12 cm, 12 cm, and 8 cm.

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How many outcomes does a 6 sided cube have?

Answers

Answer:

There are 6 outcomes: 1, 2, 3, 4, 5, or 6 could appear on the top face of the number cube.

Step-by-step explanation:

How many outcomes does a 6 sided die have? 36 For each of 6 outcomes for the first die the second die may have any of 6 outcomes, so the total is 6+6+6+6+6+6=36, or more compactly, 6⋅6=36. How many possible outcomes are there when a six-sided die is rolled and a coin is flipped at the same time? 6 possible outcomes

7 divided by three-eighths

Answers

Answer:

18 2/3

Step-by-step explanation:

A coin is flipped 50 times and lands on heads 28 times. What is the theoretical probability that the coin will land on heads on the next flip?.

Answers

The theoretical probability is 0.5

the practical probability is 0.5

Given, A coin is tossed 50 times, and it lands on heads 28 times. Theoretically, when a coin is tossed the probability of getting a head is 0.5 since in this question we tossed the same coin so the theoretical probability of the given question is 0.5. as per the given data, the Practical probability of getting a head is event happen divided by total events.

Practical probability = 28/50 = 0.56

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1. A study of the accuracy of fast food drive-through orders, one restaurant had 37 orders that were not accurate among 333 orders observed. Use a 0.05 significance level to test the claim that the rate of inaccurate orders is equal to 10%.

Answers

Assuming a 10% rate of orders that are incorrect. The accuracy rate seems to be satisfactory.

Let a be the population proportion of the orders that were not accurate.

Then according to the claim we have,

[tex]H_{o} : p=0.10\\H_{a} : p\neq 0.10[/tex]

Since the alternative hypothesis is two-tailed so the hypothesis test is a  two-tailed test.

For example,

n = 333

The proportion of the orders that were not accurate = [tex]p'=\frac{37}{333}[/tex] ≈ [tex]0.112[/tex]

Test statistics for population proportion:-

[tex]z=\frac{p'-p}{\sqrt{\frac{p(1-p)}{n} } }\\= \frac{0.112-0.10}{\sqrt{\frac{0.10(0.90)}{333} } }[/tex] ≈[tex]0.75[/tex]

By using the standard normal distribution table,

The p-value : [tex]2(z > 0.75)= 2.55[/tex]

Since the p-value is greater than the significance level (0.05), so we do not reject the null hypothesis.

Hence, we conclude that the accuracy rate appears to be​ acceptable.

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Why does math make me cry?

Answers

Therefore , the  mathematics make us cry because we aren't able to understand the mathematics .

What is mathematics ?

Numbers, forms, logic, quantity, equation and arrangements are all topics covered in the study of mathematics. Math allows students to identify solutions to problems through numerical  variable computations.

Here,

Anxiety may be indicated by tears or anger, particularly if they only occur during math.

Students who struggle with math anxiety are prone to being very critical of themselves and operating under the damaging and incorrect belief that being strong at arithmetic entails fast obtaining the right answers.

These ideas and attitudes are very restrictive.

Therefore , the  mathematics make us cry because we aren't able to understand the mathematics .

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Solve 2x+x+8=6x-3x+8.
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. x=
OB. The equation has infinitely many solutions.
O C. The equation has no solution.

Answers

Answer:

b

Step-by-step explanation:

Work out the value of
a) (√7)²
b) (4√2)²

Answers

a is 12.25 i'm really sorry i'm not sure about b

Line d is parallel to line c in the figure below. Parallel lines d and c are intersected by lines q and p to form 2 triangles. At lines d and p, the angle is 2, at d and q, the angle is 1, and at q and p the angle is 3. At lines c and q, the angle is 4, at p and c, the angle is 5, and the third angle is 6.
Which statements about the figure are true? Select three options.
(A) Vertical angles prove that Angle 2 is congruent to angle 5.
(B) In the two similar triangles, Angle 1 and Angle 4 are alternate interior angles.
(C) Vertical angles prove that Angle 3 is congruent to angle 6.
(D) The triangles are similar because alternate interior angles are congruent.
(E) In the two similar triangles, Angle 2 and Angle 4 are corresponding angles.
(F) The triangles are similar because corresponding sides are congruent.

Answers

Answer:

(B) In the two similar triangles, Angle 1 and Angle 4 are alternate interior angles.

(C) Vertical angles prove that Angle 3 is congruent to Angle 6.

(D) The triangles are similar because alternate interior angles are congruent.

Step-by-step explanation:

Alternate Interior Angles Theorem

If a line intersects a set of parallel lines in the same plane at two distinct points, the alternate interior angles that are formed are congruent.

As line q has intersected the set of parallel lines c and d, angles 1 and 4 are alternate interior angles, and are therefore congruent.

As line p has intersected the set of parallel lines c and d, angles 2 and 5 are alternate interior angles, and are therefore congruent.

Angle-Angle similarity states that if any two angles of a triangle are equal to any two angles of another triangle, then the two triangles are similar to each other.  Therefore, the triangles are similar because alternate interior angles are congruent.

----------------------------------------------------------------------------------------

Vertical Angles Theorem

When two straight lines intersect, the opposite vertical angles are congruent.

The intersection of lines p and q created two opposite vertical angles: angle 3 and angle 6 are opposite vertical angles.  Therefore:

m∠3 ≅ m∠6

----------------------------------------------------------------------------------------

Triangle similarity

Two triangles are similar if their corresponding angles are the same size.

As angles 1 and 4 are alternate interior angles and are therefore congruent, they are corresponding angles.  Similarly, as angles 2 and 5 are alternate interior angles and are therefore congruent, they are corresponding angles

Therefore this proves that the two triangles are similar and Angle 1 and Angle 4 are corresponding angles.

What is the quotient of x³ 3x² 3x 2 X² x 1 )?

Answers

To simplify the denominator, we can subtract the common terms - x² and x - leaving us with just x. We can then combine our simplifications to form the final answer of x + 2, then the quotient is  x³ + 3x² + 3x + 2 / x² + x = x + 2

x³ + 3x² + 3x + 2

x² + x

Simplifying the numerator:

x³ + 2x² + 3x + 2 - x² - x = x² + 2x + 2

Simplifying the denominator:

x² + x - x = x

Final Answer:

x + 2

The expression x³ 3x² 3x 2 X² x 1 is a fraction, with the numerator being x³ 3x² 3x 2 and the denominator being X² x 1. To solve this expression, we need to simplify both the numerator and the denominator. To simplify the numerator, we can subtract the common terms - x² and x - leaving us with x² + 2x + 2. To simplify the denominator, we can subtract the common terms - x² and x - leaving us with just x. We can then combine our simplifications to form the final answer of x + 2.

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can someone pls explain this, I'm stuck

Answers

Answer:

A = 6

B = 4

C = 8

D = 10

surface area ❀

leftmost rectangle : 8 x 4 = 32

middle rectangle : 10 x 4 = 40

rightmost rectangle : 6 x 4 = 24

top and bottom triangles : (8 x 6) = 48

total = 32 + 40 + 24 + 48 = 144cm²

Step-by-step explanation:

not sure if its correct. but i tried.

The solution is

The measure of A = 6 cm

The measure of B = 4 cm

The measure of C = 8 cm

The measure of D = 10 cm

b) The net surface area of the triangular prism = 144 cm²

What is the surface area of the prism?

The surface area of the prism is calculated as

The formula for the surface area of a prism is SA=2B+ph, where B, is the area of the base, p represents the perimeter of the base, and h stands for the height of the prism

Surface Area of the prism = 2B + ph

The area of the triangular prism is A = ph + ( 1/2 ) bh

Given data ,

Let the measure of the side A = 6 cm

The measure of side B = 4 cm

The measure of side C = 8 cm

The measure of side D = 10 cm

The surface area of the triangular prism is = 2B + ph

The surface area A = ( 6 x 8 ) + ( 6 x 4 ) + ( 10 x 4 ) + ( 8 x 4 )

The surface area A = 48 + 24 + 32 + 40

The surface area A = 144 cm²

Therefore , the value of A is 144 cm²

Hence , the area of the triangular prism is 144 cm²

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How do you find all pairs of an integer array whose sum is equal to a given number in Python?

Answers

All pairs of an integer array whose sum is equal to a given number in Python using the algorithm based on below three steps:

Step 1: Initialize array and its values

Step 2: Initialize value of sum

Step 3: Call the function find

Programming in Python for all pairs of given number : We will get an array as input from user. We need to find all possible pairs from the given array whose sum is same as given sum. Example:

Array : [5, 2, 0, 4, 1, 8, 7]

Sum = 7

Possible pairs: [5, 2], [0,7],

Algorithm based on below three steps:

Step 1: Initialize array and its values

Step 2: Initialize value of sum

Step 3: Call the function find

Algorithm for function find

Step 1: Iterate on the elements of array with variable i, from 0 to length of array as you want.

For each value of i iterate on array from index i till length of array by using other variable say j.Check if array[i]+array[j] ==given sum. If the above(2) condition is true then print the pairs.

Thus, we get the required results.

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How many terms are in the expression 2n 5 3p 4q?

Answers

The number of terms in the algebraic expression 2n + 5 - 3p + 4q is:

4 terms

What is an algebraic expression?

An algebraic expression is a set of numbers and letters that make up an expression that has a meaning, the letters are variables and the numbers are coefficients or independent terms, algebraic expressions can be part of an equation and model mathematical processes.

To know the number of terms in an algebraic expression we only need to identify the number of addition or subtraction operations and add 1 to it.

The expression is 2n + 5 - 3p + 4q

has 3 symbols

3 + 1 = 4 terms

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What are the three types of parameters in Python?

Answers

We come to the conclusion that there are three different kinds of parameters that can be used with functions in Python. Default, keyword, and arbitrary arguments are these.

what is arbitrary ?

a number that can be any number it is defined to be, but for which no particular value is chosen. Since it may represent any number while also having the value of any number, it is frequently employed in proofs since it allows the proof to be applied to several scenarios.

here

Python parameters are variables that serve as stand-ins for the real values a function needs.

They are supplied as arguments when the function is called.

An illustration would be the function's arguments.

Default, keyword, and arbitrary arguments are these.

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What is meant by rigid transformation?

Answers

Rigid transformation is a type of geometric transformation in which the shape of an object is preserved. It includes translations, rotations, and reflections, but does not include any scaling, shearing, or any other kind of distortion. In other words, rigid transformations preserve the distances between points in an object.

Transformations – what are they?

Four distinct approaches to modify the position and/or shape of a point, line, or geometric figure are collectively referred to as transformations. The Pre-Image of the object is its initial shape, while the Image, after transformation, is the final shape and location of the thing.

A transformation example is what?

A dramatic change in look or form is referred to as a transformation. An important event, such as acquiring your driver's license, starting college, or getting married, may cause your life to alter. A metamorphosis is a significant, abrupt change.

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An /80-kg man balances the boy teeter-totter as shown: Note: Ignore the weight of the board. What is the approximate mass of the boy?

Answers

When a 180kg man is standing at 1m distance and a boy is standing 4m away from a fulcrum at opposite ends, the mass of boy so that it is balanced is 45kg.

Therefore the answer is 45kg.

Let the mass of the boy be Wb, the mass of the man is Wm = 180kg. The distance of boy from fulcrum is Xb = 4m and the distance of the man from fulcrum is Xm = 1m.

For balancing, the moment about the fulcrum should be zero. That is,

Wb × g × Xb = Wm × g × Xm

Wb × 4 = 180 × 1

Wb = 180/ 4

Wb = 45

--The question is incomplete without figure, answer to the attached figure--

"An 180-kg man balances the boy teeter-totter as shown: Note: Ignore the weight of the board. What is the approximate mass of the boy?"

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What is the gradient of 3x 1?

Answers

The gradient of y =  3x - 1 is 3.

Define slope.

A line's steepness and direction are measured by the line's slope. Without actually using a compass, determining the slope of lines in a coordinate plane can assist in forecasting whether the lines are parallel, perpendicular, or none at all. Any two different points on a line can be used to calculate the slope of any line. The ratio of "vertical change" to "horizontal change" between two different locations on a line is calculated using the slope of a line formula. A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes.

Given

Equation

y = 3x - 1

Using slope intercept form,

y = mx + b

m = slope

Slope = 3

The gradient of y =  3x - 1 is 3.

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we will be using the assumption that each person has a 10% chance of not checking in and that each person checking in is independent of other people checking in. Suggest why this may not be a reasonable assumption in real life.

Answers

The 10 percent rule is used to approximate the independence of trials where sampling is taken without replacement.

Why do we check the 10% condition in stats?

It's important to check the 10% condition before calculating probabilities involving x because we want to ensure that the observations in the sample are close to independent.

According to the premise of independence, your data are not related in any manner (at least not in a way that your model hasn't taken into consideration). Actually, there are two assumptions: Since the groups should have diverse compositions, independent observations should be performed between them.

The frequency with which students ask to leave the room during crucial informative periods is reduced thanks to this technique. The 10/10 rule, which prohibits pupils from leaving the classroom during the beginning or last ten minutes of class, is used to achieve this.

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How do you find the mean 10?

Answers

The median of the first 10 natural numbers is 5.5.

What are the mean, median, and example?

The most frequent number, or the one that happens the most frequently, is known as the mode.A data collection is ordered from least to largest, and the median is the midpoint number. A data set's mode is the number that appears the most frequently.

                     Example: Since the number 2 appears three times, more than any other number, it is the mode of the numbers 4, 2, 4, 3, and 2.

x = 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10/10

 x = 55/10

 x = 5.5

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The complete question is-

How do you find the mean of first 10 natural numbers ?

What is the example of SAS Similarity theorem?

Answers

For example, if the ratio of one triangle's two sides to that of another triangle is the same and the angles that the two sides of both triangles inscribe are equal, then two triangles are said to be similar. In light of this, if ∠A = ∠X and AB/XY = AC/XZ, then △ABC ≠ △XYZ.

What is the SAS Similarity theorem?

The acronym for the SAS similarity theorem is sided angle side.

We may demonstrate that two triangles are similar when two of their side ratios are the same, plus one of their angles is also equal.

Two triangles are said to be comparable if, for instance, the ratio of one triangle's two sides to those of another triangle is the same, and the angles that the two sides of both triangles inscribe are equal.

Consequently, if ∠A = ∠X and AB/XY = AC/XZ then ΔABC ~ΔXYZ.

Therefore, for example, if the ratio of one triangle's two sides to that of another triangle is the same and the angles that the two sides of both triangles inscribe are equal, then two triangles are said to be similar. In light of this, if ∠A = ∠X and AB/XY = AC/XZ, then △ABC ≠ △XYZ.

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How old are you in 7th grade in Korea?

Answers

On observing the provided question, we can say that - In Korea, 7th grades = 13 or 14 year old, 10th grade is = 16 or 17 year old ,  11th grade is = 17 or 18 and  12th grade is = 18 or 19.

What is grade?

Grading may be done using letters, numbers, percentages, points, or descriptions. The most prevalent grades are in the form of letters, and they usually correspond to a variety of percentages or points. Many people consider "A" and "B" grades to be "good." D and F grades are referred to as "poor grades." Commonly regarded as average is a "C."

We can say that

In Korea,

7th grades =  13 or 14 year old

10th grades = 16 or 17 year old ,

11th grade is = 17 or 18 and  12th grade is = 18 or 19.

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Divide: 255.6 ÷ 12.5 A) 0.488 B) 4.880 C) 20.448 D) 204.48

Answers

Answer: C

Step-by-step explanation:If you use a calculator and you divide 255.6 by 12.5 you’d get 20.448

Answer:20.448

[tex]256.6\div12.5[/tex]

Divide:

[tex]256.6\div12.5\\=20.448[/tex]

[tex]\fbox{Option C}[/tex]

Is a scale factor of 1 congruent?

Answers

Answer: If the scale factor is 1, then the original image and the image produced are congruent.

When the scale factor is exactly 1, the copy is the same size as the original.

It is commonly used in maps to represent the actual figures in smaller units. For example, a scale of 1:3 means 1 on the map represents the size of 3 in the real world. The scale factor is a conversion factor - a number that is used to increase or decrease the size of a figure.

The scale factor is the ratio that determines the proportional relationship between the sides of similar figures. For the pairs of sides to be proportional to each other, they must have the same scale factor. In other words, similar figures have congruent angles and sides with the same scale factor

Step-by-step explanation:

Need help with my geometry please and thank you

Answers

Answer:

Vertex = (0,0)

Focus = (0, -1/8)

Axis of symmetry; x = 0

directrix, y = 1/8

Step-by-step explanation:

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Answer:

Vertex = (0,0)

Focus = (0, -1/8)

Axis of symmetry; x = 0

directrix, y = 1/8

Step-by-step explanation:

A car is traveling at a speed of 39 miles per hour. What is the car’s speed in miles per minute? How many miles will the car travel in 20 minutes? Do not round your answers.

Answers

To convert the car's speed from miles per hour to miles per minute, we need to divide its speed in miles per hour by the number of minutes per hour. Since there are 60 minutes per hour, we can divide the car's speed of 39 miles per hour by 60 to get 39 miles/hour / 60 minutes/hour = 0.65 miles/minute. So, the car's speed in miles per minute is 0.65 miles/minute.

To find the number of miles the car will travel in 20 minutes, we need to multiply the car's speed in miles/minute by the number of minutes it will travel for. Since the car will travel for 20 minutes, we can multiply its speed of 0.65 miles/minute by 20 to get 0.65 miles/minute * 20 minutes = 13 miles. Therefore, the car will travel approximately 13 miles in 20 minutes.

How do you graph a slope of 3?

Answers

The graph of a slope of 3 is a  straight line.

What is a slope?It is possible to determine a line's direction and steepness by looking at its slope. Finding the slope of lines in a coordinate plane can aid in anticipating whether the lines are parallel, perpendicular, or none at all without actually using a compass. Any two distinct places along the line can be used to determine the slope of any line. When two different places on a line are considered, the slope of a line formula compares the "vertical change" to the "horizontal change" in each case. The difference between the line's y and x coordinate changes is known as the slope of the line.Here, let us graph a line with slope = 3

        Let us assume the co-ordinates

              [tex](x _1, y_1) = (2,1)\\(x _2, y_2) = (5,10)\\\\\text{We know} ,\\\\m =\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\\\m = \frac{10-1}{5-2} \\[/tex]

              m = 9/ 3

              m = 3 (Refer image for graph)

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The following three shapes are based only on squares, semicircles,
and quarter circles. Find the perimeter and the area of each shaded
part. Give your answer as a completely simplified exact value
in terms of 7 (no approximations).
ABCD is 8cm

Answers

Assuming a 10% rate of orders that are incorrect. The accuracy rate seems to be satisfactory.

Definition of accuracy-The accuracy formula provides accuracy as a difference of error rate from 100%. To find accuracy we first need to calculate the error rate. And the error rate is the percentage value of the difference of the observed and the actual value, divided by the actual value.

Given: A study of the accuracy of fast food drive-through orders, one restaurant had 37 orders that were not accurate among 333 orders observed. Significance level-0.05

Explanation: Assuming a 10% rate of orders that are incorrect. The accuracy rate seems to be satisfactory.

Let a be the population proportion of the orders that were not accurate.

Then according to the claim we have,

[tex]H_{o} :[/tex]  [tex]p[/tex] = [tex]0.10[/tex]

[tex]H{a} :p[/tex] ≠ [tex]0.10[/tex]

Since the alternative hypothesis is two-tailed so the hypothesis test is a  two-tailed test.

For example,

n = 333

The proportion of the orders that were not accurate =  [tex]p{'}[/tex][tex]=\frac{37}{333}[/tex] ≈[tex]0.112[/tex]

Test statistics for population proportion:-

Assuming a 10% rate of orders that are incorrect. The accuracy rate seems to be satisfactory.

Let a be the population proportion of the orders that were not accurate.

Then according to the claim we have,

[tex]H_{o} :p=0.10[/tex]

[tex]H_{a} :p[/tex] ≠ [tex]0.10[/tex]

Since the alternative hypothesis is two-tailed so the hypothesis test is a  two-tailed test.

For example,

n = 333

The proportion of the orders that were not accurate =  [tex]p^{'} =\frac{37}{333}[/tex] ≈ [tex]0.112[/tex]

Test statistics for population proportion:-

[tex]z=\frac{p-p'}\sqrt{p(1-p)/\sqrt{n}[/tex][tex]=\frac{0.112-0.10}\sqrt{0.10(0.90)}/ {333}[/tex] ≈ [tex]0.75[/tex]

By using the standard normal distribution table,

The p-value : [tex]2(z > 0.75)=2.55[/tex]

Since the p-value is greater than the significance level (0.05), so we do not reject the null hypothesis.

Hence, we conclude that the accuracy rate appears to be​ acceptable and satisfactory.

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Is 12 a prime number yes or no?

Answers

Answer:

12 is not a prime number.

Step-by-step explanation:

What is a prime number?

A prime number is a real number that is only divisible by 1 and itself

12 is not a prime number because it is divisible by numbers other than 1 and itself, such as...

2346

What is the nature of the roots of the quadratic equation 9 x2 6x =- 9?

Answers

The nature of the roots of the quadratic equation x² - 6x + 9 = 0 are real and equal

Given that :

The quadratic equation x² - 6x + 9 = 0

To find :

The nature of the roots of the quadratic equation x² - 6x + 9 = 0

x² - 6x + 9 = 0

Find discriminant of the equation

Comparing the given Quadratic equation x² - 6x + 9 = 0 with the general equation ax² + bx + c = 0 we get

a = 1 , b = - 6 , c = 9

The discriminant of the quadratic equation

= b² - 4ac

= (-6)² - 4* 1*9

=36 - 36

=0

Find nature of the roots of the quadratic equation

Since the discriminant of the quadratic equation = D = 0

Hence the roots of the quadratic equation x² - 6x + 9 = 0 are real and equal

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In a certain school, there are 180 students, 110 study french, 88 studied German and 65 Study Spanish . 40 students Study both french and German, 38 Study German only , 20 study french and Spanish , 25 study German and Spanish .
find the number of students who study
1. all 3 languages
2. Spanish only
3. none of the languages
4. at least one language ​

Answers

Answer:

1. 38 = 88 - (10 + x + 25)

38 = 88 - 35 - x

x = 53 - 38

x = 15

There are 15 students who study 3 languages

2. Spanish only = 65 - (5 + 15 + 10)

= 65 - 30

= 35

There are 35 students who study Spanish only

3. x = 180 - (65 + 25 + 38 + 15 + 5 + 10 + 35)

x = 180 -  193

x = -13

There are 13 students who studied none

4. 65 + 38 + 35

= 138

There are 138 students who studied one language only

Step-by-step explanation:

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How does journaling help writers discover gems in their writing?O A. by opening up space in their mindOB.by encouraging perfectionOC. by growing their body of workOD. by defining their creative goals 5/8 subtracted by 3/4 If the percent (mass/mass) for a solute is 4% akd the mass of the solute is 200g, what is the mass of the solute in the solution? How many dependent clauses are there? henrietta leavitt found a relationship using the cepheid variables (in a star cluster) to help us determine distances. what was the correlation she found between the luminosity of a variable star and the period? What is the distance between two wave front? How do you know if nutritional information is reliable? What do you find most difficult about developing a research topic? What strategies are you most likely to use now that you have information about how to develop a quality topic? How do you know if two figures are similar by transformations? What was one of the results of the Schenck decision? Buyer Smith purchases thirty-five acres for a subdivision development and she plans to phase the development.In order to sell the lots in the first phase of the project,she should reserve mortgage aa)Partial release clauseb)Redemption clausec)Subordination claused)Takeout clause CASE Friendly Assisted Living Facility-1 Friendly Medical Center, an urban, nonprofit, 450-bed rehabilitation hospital, began to see a significant decline in admissions. Friendly Medical Center's mission focuses on inpatient and outpatient rehabilitation of the severely injured and catastrophically ill. While the patient census aried from month to month, it appeared to the Friendly Medical Center Board of Trustees that the inpatient population was slowly but steadily declining. The hospital's market researchers reported that fewer people were being severely injured due to the popularity of seat belts and bicycle/motorcycle helmets. In order to get a handle on the future of the organization, the Board, and the CEO, Fred Splient M.D. called for a major strategic planning effort to take place. In January 20X6, Friendly Medical Center held a planning retreat to identify future opportunities. The outcome of the retreat was that the Medical Center needed to focus its fforts around two major strategic initiatives. The first, a short-run initiative, was to be more cost-effective in the delivery of inpatient care. The second, a long-run strategy, was to develop new programs and services that would capitalize on the existing, highly competent rehabilitation therapy staff and Friendly Medical Center excellent reputation in the region At the time of the retreat, Fred Splient's parents were living with him and his family. Fred was active member of the "sandwich generation." His parents were aging and developing many problems common to the geriatric populace. Their increased medical needs were beginning to wear on Fred and his family. It crossed Fred's mind that life might be more pleasant if the hospital Board approved an expansion of the Medical Center's campus to include living facility ssisted In March 20x6, Fred had his Business Development team prepare a rough estimate of the potential return on the investment of an assisted living facility. He asked the team to identify different options for facility construction and the associated costs. The team also did a complete competitive analysis and examined the options for services to be offered based on Friendly Medical Center's potential population base and catchment area. The Business Development team visited several facilities across the country. The team also interviewed companies that could oversee the design, building, and operation of the facility for Friendly Medical Center. The development team produced a preliminary business plan based on the recommended structure for the facility, estimated capital expenditure needs, estimated income from operation of the facility, as well as projected revenues to other Medical Center programs resulting from the facility's population. The plan was presented at the May 20X6 meeting of the Board of Trustees. Fred Splient and his team introduced the Board to the concept of opening an assisted living facility on Friendly Medical Center's campus. The facility would be set up as a for-profit subsidiary of the Medical Center so that it could generate a profit and not be subjected to the strict guidelines of the hospital's accrediting agencies. As a subsidiary organization, however, the Board would still have control The chosen facility design was a freestanding apartment-like facility with a sheltered connection to the Hospital for access to the kitchen and hospital services. The facility would have 100 units with 15 to 30 of the units classified as "heavy-assisted" and built to code to house the physically and medically disabled. The rest of the units would be "light-assisted larger apartments. The population would be approximately 110 to 150 residents, with most being single occupants rather than couples The temperature in Mexico City is 43 degrees Celsius. What is the corresponding temperature in Fahrenheit