solve by completing the square

Solve By Completing The Square

Answers

Answer 1

Step-by-step explanation:

answer is in the picture above

Solve By Completing The Square

Related Questions

two supplementary angles have measures 6x° and 12x°. find each angle measure’

Answers

180 = 6x + 12x

180 = 18x

10 = x

The answers are sixty degrees and one hundred twenty degrees

Part 1: Complete the operations geometrically.
Use vector operations to draw the resultant vector.
⦁ Draw 2u + 4v.

Answers

Answer:

Step-by-step explanation:

The geometrically operations 2u + 4v is (2,12).

For immediately line graphs there is a linear relationship between the x and y values and so the line is instantly and should be drawn with a ruler. The gradient determines how steep the road is and the y-intercept tells us the vicinity wherein the immediate line intersects the y-axis.

Why is a graph a direct line?

It continually goes up in steps of equal length, so it is a straight line. that is first-class as a way because it goes. It identifies the defining assets of a linear feature—that it has a constant rate of exchange—and relates that property to a geometric feature of the graph.

What is a straight line graph?

The graph follows a straight line equation shows a straight line graph.

equation of a straight line is   y=mx+cy represents vertical line y-axis.

x represents the horizontal line x-axis.    

m is the slope of the line

           slope(m)=tan∅=y axis/x axis.

c represents y-intercepts (it is the point at which the line cuts on the y-axis)Straight line graphs show a linear relationship between the x and y values.

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Alex believes the honor roll students at his school have an unfair
advantage in being
assigned to the science class they request. He asked 500 students at his school the
following questions: Are you on the honor roll?" and "Did you get the science class you
requested?" The results are shown in the table below:
Honor roll Not on honor roll Total
Received science class requested
64
315
379
Did not get science class requested 80
41
121
Total
144
356
500
Help Alex determine if all students at his school have an equal opportunity to get into
the science class they requested. Show your work, and explain your process for
determining the fairness of the class assignment process.

Answers

According to the information provided, it can be inferred that the conclusion reached by Alex is that there are no advantages to honor roll students.

How to calculate the percentage of students who received the requested classes?

To calculate the percentages of students who received the requested classes, we must take into account the data in the table. Additionally, we must perform the following operations:

144 ÷ 100 = 1.44

64 ÷ 1.44 = 44.44%

According to the above, the percentage of students who are on the honor roll and receive their classes is 44.44%.

To calculate the percentage of students who are not on the honor roll and receive their classes, we do the following operation.

356 ÷ 100 = 3.56

315 ÷ 3.56 = 88.48%

According to the above, it can be inferred that the students who are on the honor roll do not have advantages over the others because the percentage of students who are not on the honor roll and receive their science classes is greater than the percentage of students who are on the honor roll and receive their classes.

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In a particular region, for families with a combined income of $80,000 or more, 20% have no children, 30% have one child, 40% have two children, and 10% have three children. Use this information to construct the probability distribution for X, where x represents the number of children per family for this income group. Arrange x in increasing order and write the probabilities P(x) as decimals.

Answers

The probability distribution for x will be given below.

x              0              1              2              3

P(x)        0.20       0.30        0.40        0.10

What is a normal distribution?

The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.

In a particular region, for families with a combined income of $80,000 or more, 20% have no children, 30% have one child, 40% have two children, and 10% have three children.

Let x be the number of children per family.

We have to construct a probability distribution for x from the given information.

x = 0, 1, 2, 3

For x = 0, the probability will be

P(x) = 20 / 100 = 0.20

For x = 1, the probability will be

P(x) = 30 / 100 = 0.30

For x = 2, the probability will be

P(x) = 40 / 100 = 0.40

For x = 2, the probability will be

P(x) = 10 / 100 = 0.10

Then the probability distribution for x will be given as

x              0              1              2              3

P(x)        0.20       0.30        0.40        0.10

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What is the image point of (1, -2) after a translation right 4 units and down 4 units?​

Answers

Answer:

Hello!!!!

THE ANSWER: (5, -6)

Please read the explanation... it always helps... trust me...

Step-by-step explanation:

Okkeeeee lets beginnnn....

A translation is when you move a point of shape in a coordinate plane

so a translation of a point to the right means you are moving the point to the right of the coordinate plane meaning the positive side of the x-axis... so in this case you will need to add 4 to the x-coordinate....

simarily to the "down four units"

moving it down means subtraction.... meaning you need to subtract 4 from -2 which gets you -6...

I REALLY HOPE THIS HELPS!!! :)

What is the value of tan(60°)?
A
01
12
300
03
03
2.
В
60°
6
п
с

Answers

Answer:

√3 is the answer

Step-by-step explanation:

the value of tan60 is √3

If f is translated 4 units down to create g, which function represents g? A. g(x) = f(x) + 4 B. g(x) = f(x) - 4

Answers

Answer:

g(x) = f(x) - 4.

Step-by-step explanation:

4 down = -4

g(x) = f(x) - 4.

Select the correct answer.
Given: , and

Prove:


Statements Reasons
vertical angles theorem
given
given
alternate interior angles theorem
??

definition of congruence
Which step is missing in the proof?

Answers

Based on the SAS congruence criterion, the statement that best describes Angie's statement is:

Two triangles having two pairs of congruent sides and a pair of congruent angles do not necessarily meet the SAS congruence criterion, therefore Angie is incorrect.

What is congruency?

The Side-Angle-Side Congruence Theorem (SAS) defines two triangles to be congruent to each other if the included angle and two sides of one is congruent to the included angle and corresponding two sides of the other triangle.

An included angle is found between two sides that are under consideration.

See image attached below that demonstrates two triangles that are congruent by the SAS Congruence Theorem.

Thus, two triangles having two pairs of corresponding sides and one pair of corresponding angles that are congruent to each other is not enough justification for proving that the two triangles are congruent based on the SAS Congruence Theorem.

The one pair of corresponding angles that are congruent MUST be "INCLUDED ANGLES".

Therefore, based on the SAS congruence criterion, the statement that best describes Angie's statement is:

Two triangles having two pairs of congruent sides and a pair of congruent angles do not necessarily meet the SAS congruence criterion, therefore Angie is incorrect.

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Can you match the teacher's comments to the definitions?

Answers

Answer:

Daniel =Were you thinking of perpendicular lines?

Oris= It seems like you've got the basic idea, but your definition could be more precise.

Kaoris= Yes well done...

what is the angle in degrees between two consecutive spokes if there are 24 spokes in a wheel?

Answers

Answer:

15

Step-by-step explanation:

- 360 degrees in a complete circle you divide it by 24

360/24=15

How do I solve

[tex]2x^{2}+5x+2=0[/tex]

Answers

see the attachment...

hope it helps...!!!

Answer:

There are two solutions.

[tex]x_1 = -0.5\\x_2 = -2[/tex]

Step-by-step explanation:

Step 1

Use the formula of ax^2 + bx + c = 0 to find the coefficients.

[tex]a = 2\\b = 5\\c = 2[/tex]

Step 2

[tex]x=\frac{ (-b+/-sqrt(b^2-4ac))}{(2a)}\\x=\frac{ (-5 +/- sqrt(5^2-4*2*2))}{(2*2)}\\x=\frac{(-5 +/- sqrt(25-4*2*2))}{(2*2)}\\x=\frac{(-5 +/- sqrt(25-8*2))}{(2*2)}\\x=\frac{(-5 +/- sqrt(9))}{(2*2)}[/tex]

[tex]x = \frac{-5 +/- \sqrt{9} }{4}[/tex]

Step 3

[tex]9 = 3^2\\\sqrt{9} = \sqrt{3*3}\\\sqrt{3*3} = \sqrt{3^2}\\\sqrt{3^2} = 3[/tex]

Step 4

[tex]x_1=\frac{(-5+3)}{4} -- > x_2=\frac{(-5-3)}{4}\\x_1=\frac{(-5+3)}{4}\\x_1=\frac{-2}{4}\\x_1=-0,5[/tex]

[tex]x_2=\frac{(-5-3)}{4}\\x_2=\frac{(-8)}{4}[/tex]

[tex]x_2=-2[/tex]

Hope this helps.

Help please
50 points

Answers

Answer:

The answer would be B

Step-by-step explanation:

This is frying my brain, can anyone help and explain? ​

Answers

Answer:

1) Answer is D

2) Answer is C

3) Answer is D

Step-by-step explanation:

Problem 1

Since we are given 12 numbers to choose from, there's a 2/12 chance of selecting a 2. Additionally, there's a 3/11 chance of selecting a number divisible by 4 AFTER selecting a 2. Thus, since the two events are independent, their probabilities are multiplied, so the probability of selecting a 2 and then a number divisible by 4 is (2/12)(3/11) = 6/132 = 1/22, so option D is correct.

Problem 2

There's a 4/12 chance of selecting an odd number and a 6/11 chance of selecting an even number AFTER selecting an odd number (remember that 0 is neither even nor odd). Multiplying the probabilities, the probability of drawing an odd number and then drawing an even number is (4/12)(6/11) = 24/132 = 2/11, so option C is correct.

Problem 3

There's a 2/12 chance of selecting a zero and a 1/11 chance of selecting a second zero. Thus, multiplying their probabilities, the probability of drawing 2 zeroes is (2/12)(1/11) = 2/132 = 1/66, so option D is correct.

What comes next in this pattern? 7/2, 6/3, 5/4, ... 4/9 4/7 4/5

Answers

Answer:4/3

4/3

Step-by-step explanation:

the camera cost $540 if the sales tax is 7.2% what is the tax change and the total cost?

Answers

Answer:

38.88

Step-by-step explanation:

Convert the problem to an equation using the percentage formula: P% * X = Y.

P is 10%, X is 150, so the equation is 10% * 150 = Y.

Convert 10% to a decimal by removing the percent sign and dividing by 100: 10/100 = 0.10.

You have found the ages (in years) of 5 gorillas. Those gorillas were randomly selected from the 29 gorillas at your local zoo: 8,4,14,16,8

Find the Average Age
Standard Devaluation

Answers

Answer:

the answer is 10

Step-by-step explanation:

(8+4+14+16+8)/5

Select the expression that represents the following statement multiply 6 by 2, and then subtract 4. 2 - 4x6
6 x 2 - 4
6 + 6 + 4 - 2
6 × 4 - 2​

Answers

the answer is the second one, 6x2 - 4

Given the following equation, what is the slope of the linear function?

Answers

Answer:

2/3

Step-by-step explanation:

The slope sits next to the x in the slope-intercept equation, y=mx+b. Slope is the m. In the equation in the problem y=2/3x-2.

The slope is 2/3.

Write 6 41 100 as a decimal number.

Answers

Answer:

From my calculation I think it is 6.4×10^5

It is in standard form

OR

641100÷100,000=6.411

I'm not sure yet,but you can confirm it

[tex]\huge\textbf{Hey there!}[/tex]


[tex]\huge\textbf{Assuming:}[/tex]

[tex]\mathsf{6\dfrac{41}{100}}[/tex]

[tex]\huge\textbf{If so:}[/tex]

[tex]\mathsf{6\dfrac{41}{100}}[/tex]

[tex]\mathsf{= \dfrac{6 \times100 + 41}{100}}[/tex]
[tex]\mathsf{= \dfrac{600 + 41}{100}}[/tex]

[tex]\mathsf{= \dfrac{641}{100}}[/tex]

[tex]\mathsf{= 641\div100}[/tex]

[tex]\mathsf{= 6.41}[/tex]


[tex]\huge\textbf{Therefore, your answer should be: \boxed{\mathsf{6.41}}}\huge\checkmark[/tex]


[tex]\huge\textbf{Good luck on your assignment \& enjoy}\\\huge\textbf{your day!}[/tex]


~[tex]\frak{Amphitrite1040:)}[/tex]

A camera has a listed price of $615.99 before tax. If the sales tax rate is 9.25%, find the total cost of the camera with sales tax included. Round your answer to the nearest cent, as necessary.​

Answers

Answer:

559.01 i think that is rounded correctly

Step-by-step explanation:

so it did $615.99 - 9.25% = 559.010925

Hope This Is Good And Helped Sorry If i Did It Worng

615$ is right than jus divide 9.25

A right triangular prism and its net are shown below.
(All lengths are in centimeters.)

Answers

Answer:

Below in bold.

Step-by-step explanation:

a) The rectangle in the middle of the net is 10 cm long.

A = 8

B = 3

C = 6

D = 10

b) Surface area

=  3*6 + 3*10 + 3*8 + 2 * 1/2 + 8 * 6

= 18 + 30 + 24 + 48

= 120 cm^2

Given:A triangular prism and its net.To find:Side lengths for the net.Surface area of the triangular prism.Solution:Side lengths for the net:A= 8 cmB= 3 cmC= 6 cmD= 10 cmSurface area:

[tex]sa = bh + ( b_{1} + b_{2} + b_{3})l[/tex]

[tex]sa = 6(8) + (6 + 8 + 3) \times 10[/tex]

[tex]sa = 48 + (17)(10)[/tex]

[tex]sa = 48 + 170[/tex]

[tex]sa = 220 \: {cm}^{2} [/tex]

Which is not a reason an athlete uses technology to assess performance?
A. To monitor development.
B. To tailor to their training program.
C. To send to college recruiters.
D. To analyze technique.

Answers

The reason for which an athlete does not use technology to assess performance is To send to college recruiters.

What is technology?

Technology is the culmination of collected knowledge and the application of skills, methods, and procedures utilized in manufacturing and scientific research. Technology is incorporated into the functioning of all machinery, with or without a thorough understanding of its function, for an organization's stated purpose.


The reason for which an athlete does not use technology to assess performance is To send to college recruiters.

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4. (1) Solve forx: 13 11 3x+16 65 ​

Answers

Step-by-step explanation:

13113x+1665
_____________________________
Rewrite 13113 as 9 .  1457

Rewrite 1665 as 9 .  185
= 9 .  1457x + 9 .  185
=9(1457x + 185)

Jack's bicycle has a mass of 9 kilograms. What is the
mass of Jack's bicycle in grams?

Answers

Answer:

9000 grams

Step-by-step explanation:

1 kg = 1000 g

1 * 9 kg = 1000 * 9 g

9 kg = 9000 g

Suppose that there are two types of tickets to a show: advance and same-day. Advance tickets cost $30 and same-day tickets cost $15. For one performance, there were 65 tickets sold in all, and the total amount paid for them was $1500 . How many tickets of each type were sold?

Answers

The advance tickets were 35 in number and the same day ticket will be 30 in number.

What will be the number of tickets?

To find out the number of the tickets sold we will give some notations so the notations are as follows:-

A= Cost of advance tickets=$30

S= cost of same-day ticket-=15

[tex]N_A=[/tex] Number of the advance tickets

[tex]N_S=[/tex]Number of same-day tickets.

The equations made by the given data will be:-

[tex]30N_A+15N_S=1500\\\\\\N_A+N_S=65[/tex]

By solving the above equations:-

[tex]N_S=30\ \ \ \ \ \ N_A=35[/tex]

Hence the advance tickets were 35 in number and the same day ticket will be 30 in number.

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| 3. Two lines are intersecting. What is the
value of x?
(x+23)
(2x + 4)°

Answers

Answer:

Step-by-step explanation:

2x + 4 + x + 23 = 180

3x + 27 = 180

3x = 153

x = 51

If f(x) = 3x - 1 and g(x) = x + 2 , find (f + g)(x)

Answers

Answer:

Answer:4x + 1

Step-by-step explanation:

(f + g)(x)=(3x - 1)+(x + 2)

=3x + x - 1 + 2

=4x + 1

. Use the vectors v = -i +2j and w= -3i + 4j to find 5v + 8w.
O-29i+42j
O 10i-16j
O-4i + 7j
O2i+ 6j

Answers

5v+8w

put values

5(-i+2j)+8(-3i+4j)

Do like you do algebraic addition

-5i+10j-24i+32j-5i-24i+10j+32j-29i+42j

Option A

PLEASE HELP 20 POINTS!!

Answers

[tex]\text{First term,} ~a = 72\\\\\text{Common ratio,}~ r = \dfrac{-36}{72} =-\dfrac 12 \\\\\text{Sum of an infinite geometric series,}\\\\S_{\infty} = \dfrac a{1 - r}\\\\\\~~~~~= \dfrac{72}{1+ \dfrac 12}\\\\\\~~~~~=\dfrac{72 }{\tfrac 32}\\\\\\~~~~~=\dfrac{72 \times 2}3\\\\\\~~~~~=48[/tex]

Series: 72 - 36 + 18 - 9 +...

[tex]\sf S \infty \ =a_1 \ x \ \dfrac{1}{1-r}[/tex]

Identify the following

a1 = 72 - 36r = (18-9) ÷ (72-36) = 1/4

Solve:

[tex]\rightarrow \sf S \infty \ =(72-36) \ x \ \dfrac{1}{1-\frac{1}{4} }[/tex]

[tex]\rightarrow \sf S \infty \ =48[/tex]

This series has a sum of 48.

The rectangular prism below has a base area of 44 units2 and a height of 6 units. Find
its volume.

Answers

The volume of the rectangular prism given its base area and its height is 264 units³.

What is the volume?

A rectangular prism is a three-dimensional object that has six faces, 12 sides and 6 vertices.

Volume = length x width x height

base area x height

44 x 6 = 264 units³

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