Given: 2x−43=2
Prove: x = 5

Select from the drop-down menus to correctly complete the proof.

Statement Reason
2x−43=2 Given
2x−4=6
Choose...
2x = 10
Choose...
x = 5

Answers

Answer 1

Therefore , the solution of he given problem of linear equation comes out to be x = 5.

A linear equation is defined.

A linear equation is one that has the form y=mx+b in algebra. B is the slope, and m is the y-intercept. It's usual to refer to the previous clause as a "linear equation with two variables" because y and x are variables. The two-variable linear equations known as bivariate linear equations. There are several instances of linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. It is referred to as being linear when an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept.

Here,

Given : 2x-4=6

To prove x =5

Thus,

We have to find the value of x

=> 2x =10

=> x =10/2

=> x =5

Therefore , the solution of he given problem of linear equation comes out to be x = 5.

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Related Questions



The population of a town is 20,000. It decreases at a rate of 9% per year. In about how many years will the population be fewer than 13 2007

Answers

In 5 years the population will be fewer than 13000.

What is percentage ?

A percentage is a figure or ratio stated as a fraction of 100 in mathematics. Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, the percent symbol, "%," is frequently used to indicate it. A % is a number without dimensions and without a standard measurement.

In essence, percentages are fractions with a 100 as the denominator. We place the percent symbol (%) next to the number to indicate that the number is a percentage. Percentage, a relative value showing hundredth parts of any amount, is a relative measure that indicates how many questions on a test you correctly answered out of 100 (75/100). Since one percent (symbolized as 1%) is equal to one hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified percentage.

20000( 1 - 9% )^5

≈ 12481

12481 < 13000

ie 5 years

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What do 7th graders learn in math?

Answers

In 7th grade math, students learn basic algebra, ratios and proportions, geometry, graphing, probability, equation and statistics.

In 7th grade math, students typically learn basic algebraic principles, including linear equations, variables, and functions. They also learn about ratios, proportions, and percents. Geometry is typically introduced, with topics such as angles, lines, triangles, and circles. Additionally, students may be taught more advanced topics such as graphing, probability, and statistics.In 7th grade math, students learn basic algebra, ratios and proportions, geometry, graphing, probability, and statistics.

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Find the equation of the line. Write the answer in standard form.

Answers

Answer:

1.Given points are:-

(1,2)=(x1/,y1)

(3,4)=(x2,y2)

Now,from two point formula,

y-y1=(y2-y1)/(X2-X1)×(X-X1)

or,y-2=(4-2)/(3-1)×(X-1)

or,y-2=2/2×(X-1)

or,y-2=1(X-1)

or,y-2=X-1

or, X -1-y+2=0

or,X-y+1=0 is the req. eqn in standard form

2.Given points are:-

(2,5)=(x1, y1)

(3,7)=(x2,y2)

Now, from two point formula,

y-5=(7-5)/(3-2)×(X-2)

or,y-5=2/1×(X-2)

or,y-5=2(X-2)

or,y-5=2X-4

or,2X-y-4+5=0

or,2x-y+1=0 is the req. eqn in standard form.

c.do similarly

and*mark me brainliest

Answer:

see explanation

Step-by-step explanation:

the equation of a line in standard form is

Ax + By = C ( A is a positive integer and B, C are integers )

First obtain the equations in slope- intercept form

y = mx + c ( m is the slope and c the y- intercept )

(1)

calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (1, 2 ) and (x₂, y₂ ) = (3, 4 )

m = [tex]\frac{4-2}{3-1}[/tex] = [tex]\frac{2}{2}[/tex] = 1 , then

y = x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (3, 4 ) , then

4 = 3 + c ⇒ c = 4 - 3 = 1

y = x + 1 ( subtract y from both sides )

0 = x - y + 1 ( subtract 1 from both sides

- 1 = x - y , that is

x - y = - 1 ← in standard form

Use the same procedure for the next 2 questions

(2)

(x₁, y₁ ) = (2, 5 ) and (x₂, y₂ ) = (3, 7 )

m = [tex]\frac{7-5}{3-2}[/tex] = [tex]\frac{2}{1}[/tex] = 2 , then

y = 2x + c ← is the partial equation

using the point (2, 5 ) to find c

5 = 2(2) + c = 4 + c ( subtract 4 from both sides )

1 = c

y = 2x + 1 ( subtract y from both sides )

0 = 2x - y + 1 ( subtract 1 from both sides )

- 1 = 2x - y , that is

2x - y = - 1 ← in standard form

(3)

(x₁, y₁ ) = (5, 2 ) and (x₂, y₂ ) = (3, 12 )

m = [tex]\frac{12-2}{3-5}[/tex] = [tex]\frac{10}{-2}[/tex] = - 5 , then

y = - 5x + c

using the point (5, 2 ) to find c

2 = - 5(5) + c = - 25 + c ( add 25 to both sides )

27 = c

y = - 5x + 27 ( add 5x to both sides )

5x + y = 27 ← in standard form

Sandra has taken 3 Test this Quarter. She has scored an 78%, 76%, and a 93%. Sandra wants

to earn at least and 85% for the Quarter. What score will she need to earn on her Final Test in

order for her to Average at least an 85% for the Quarter? Then Explain what your answer

means.

*****This Question is similar to Question #8 in Thursdays Homework Quiz.

1. Write an Equation or Inequality you use to help you solve this Question. 5 pts.

2. Solve the Equation or inequality. 5 pts.

3. Explain what your answer means based on your solution you get. 10 pts.

Answers

Sandra needs to score at least 87.67% to get an average score of 85%.

What is average?

Let's look at the average formula in more detail in this part and use some examples to illustrate how it may be used. The following is an example of the average formula for a specific set of data or observations: Average = (Sum of Observations) ÷ (Total Numbers of Observations).

Given, Sandra has taken 3 Test this Quarter. She has scored an 78%, 76%, and a 93%.

Now as per the question she needs 85%.

The average of the 1st three tests is 78+76+93/3 = 247/3 = 82.33

Now to get 85%, we have to average out as 82.33+x/2 = 85

x+82.33 = 85*2 = 170

x = 170-82.33 = 87.67

Hence, Sandra needs to score at least 87.67% to get an average score of 85%.

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Is 2 a zero of the polynomial x³ 4x² 3x?

Answers

2 is not a polynomial root of  [tex]x^{3} + 4x^{2} + 3x[/tex] . A polynomial is an equation that employs addition, subtraction .

what is polynomial ?

A polynomial is a mathematical statement made up of variables (also known as indeterminates) and coefficients that uses solely the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. A polynomial is an equation that employs addition, subtraction, multiplication, and division of numbers to combine variables, constants, and exponents (No division operation by a variable).

given

[tex]x^{3} + 4x^{2} + 3x[/tex]

= [tex]2^{3} + 2^{2} + 3(2) = 0\\8 + 4 + 6 = 0 \\18= 0[/tex]

Consequently, 2 is not a polynomial root of  [tex]x^{3} + 4x^{2} + 3x[/tex] .

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Directions: The Johnson family is redesigning their backyard this spring. They want to include a sandbox area,
a swing set area, a patio area, a pool area and a grill area. Their plans for the yard layout in feet is shown in the
figure below. Use the figure and your knowledge of polynomials, perimeter, and area to solve the following:

Answers

1) The formula for area is,

⇒ Area of rectangle = Length × Width

And, The formula for perimeter is,

⇒ Perimeter = 2 (Length + width)

2) An expression for the length of the south side of the yard is,

⇒ Length = (5x + 2) + (x² - 9) + (x² - 7x + 12)

3) The simply expression for the length of the south side of the yard is,

⇒ Length =  2x² - 2x + 5

4) An expression for the perimeter of the pool area is,

⇒ Perimeter = 2 ( (x² + 10) + (8x + 8) )

5) 5) The simply expression for the perimeter of the pool area is,

⇒ Perimeter = 2x² + 16x + 36

What is mean by Rectangle?

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Given that;

The Johnson family is redesigning their backyard this spring. They want to include a sandbox area, a swing set area, a patio area, a pool area and a grill area.

Now,

1) The formula for area is,

⇒ Area of rectangle = Length × Width

And, The formula for perimeter is,

⇒ Perimeter = 2 (Length + width)

2) An expression for the length of the south side of the yard is,

⇒ Length = (5x + 2) + (x² - 9) + (x² - 7x + 12)

3) The simply expression for the length of the south side of the yard is,

⇒ Length = (5x + 2) + (x² - 9) + (x² - 7x + 12)

                = 5x + 2 + x² - 9 + x² - 7x + 12

                = 2x² - 2x + 5

4) An expression for the perimeter of the pool area is,

⇒ Perimeter = 2 ( (x² + 10) + (8x + 8) )

5) The simply expression for the perimeter of the pool area is,

⇒ Perimeter = 2 ( (x² + 10) + (8x + 8) )

                    = 2 (x² + 10 + 8x + 8)

                    = 2 (x² + 8x + 18)

                    = 2x² + 16x + 36

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Six cars pull up to a red light, one at a time. At the light, there are three lanes, one left-turn lane, one straight-going lane, and one right-turn lane. How many ways can the cars stack up so that all three lanes are occupied

Answers

According to the probability, there are 540 arrangements that can the cars stack up so that all three lanes are occupied.

How is card probability determined?

Mathematicians use addition and division as well as counting to calculate probability.

There are three partitions of six using digits 1-3.

(4,1,1), (3,2,1), (2,2,2) (2,2,2)

These could be dispersed between the lanes in order that

(3) Possible solutions to (4,1,1)

There are six possible ways to solve the equation (3,2,1).

There is only one possible solution to the equation (2,2,2).

Cars must now move in the lanes in proper order.

The arrangements for (4,1,1) will be 6C4 * 2C1 = 30. Six cars are chosen, sorted, and placed in the appropriate lanes. then decide on 1 of the 2 surviving vehicles.

then place it in a lane.

The arrangements for (3,2,1) will be 6C3 * 3C2 = 60.

There will be 6C2 * 4C2 = 90 arrangements for (2,2,2).

Consequently, there will be 540 arrangements (3*30 + 6*60 + 1*90 = 90+360 + 90).

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Find the values of x and y.

Answers

The values of x and y, given the angles, can be found to be :

x = 13y = 20

How to find the values of x and y ?

The parallel line is drawn such that ( 7 y - 12 ) degrees and ( 6 y + 8 ) degrees are equal to each other.

In the same vein, 4x degrees and 6x - 26 degrees are the same as well. This is because they are vertical angles.

The value of x is:

4x = 6x - 26

6x - 4 x = 26

2x = 26

x = 26 / 2

x = 13

The value of y is :
7 y - 12 = 6 y + 8

7y - 6 y = 8 + 12

y = 20

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tan took Lily to his friend’s restaurant on a date. The friend told the waiter to remove the $12 dessert from Stan’s bill. Stan tipped the waiter 20% on the reduced bill, which was a $15 tip. Fill in the blanks to write an equation that will determine the amount of the original bill, b.(2 points)
___(b −___) = ___

Answers

$b+$12 is the equation that will determine the amount of the original bill

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

Given that The friend told the waiter to remove the $12 dessert from Stan’s bill.

Stan tipped the waiter 20% on the reduced bill, which was a $15 tip

We need to write an equation that will determine the amount of the original bill b.

Let us find what 20% of amount will be 15

20/100×b=15

0.2x=15

b=15/0.2=75

The reduced bill is $75.

As before $12 is removed

$b+$12=$87

$87 is the original bill and 15 is the tip.

Hence, $87 is the original bill.

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If p(x) is a polynomial function with p ( 3/4 ) = 0 , which statement is true?
A.The function has a factor of (4x + 3).
B. The function has a factor of (4x – 3).
C. The function has a factor of (3x + 4).
D. The function has a factor of (3x – 4).

Answers

If p(x) is a polynomial function with p ( 3/4 ) = 0 , then the function has a factor of (4x – 3).

What is Polynomial?

Polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables

If p(x) is a polynomial function with p ( 3/4 ) = 0

Then we need to find which of the given statements are true.

A. The function has a factor of (4x + 3).

If x=3/4 then 4(3/4)+3 which is not equal to zero

B. The function has a factor of (4x – 3).

If x=3/4 then 4(3/4)-3 which is equal to zero

C. The function has a factor of (3x + 4).

If x=3/4 then 3(3/4)+4 which is not equal to zero

D. The function has a factor of (3x – 4).

If x=3/4 then 3(3/4)-4 which is not equal to zero

Hence, If p(x) is a polynomial function with p ( 3/4 ) = 0 , then the function has a factor of (4x – 3).

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A sequence is represented by the recursive formula below:

Answers

The value of the sequence is (c) 13, 25, 37, 49

How to determine the value of the sequence

The definition of the sequence is given as

a(1) = 13

a(n) = a(n - 1) + 12

The above definitions imply that we simply add 12 to the previous term to get the current term

Using the above as a guide,

So, we have the following representation

a(2) = 13 + 12 = 25

a(3) = 25 + 12 = 37

So, the sequence is 13, 25, 37

Hence, the value is (c)

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Solve the following problems.
1. The daily demand for copies of a movie magazine at a variety store has the probability distribution as
follows.
Number
of Copies
Х
0
1
2
3
4
5
6
7.
18
9
10
P(X)
0. 06 0. 14 0. 16 0. 14 0. 12 0. 10
0. 08 0. 07
0. 06
0. 04 0. 03
a) What is the probability that 3 or more copies will be demanded in a particular day?​

Answers

The probability that 3 or more copies will be demanded in a particular day is 0.64.

What is probability?

Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

The probability for 3 or more copies to be demanded is the sum of all the probability distributions for 3 or more copies demanded per day.

This can be written in an equational form -

P(x) = 0.14 + 0.12 + 0.10 + 0.08 + 0.07 + 0.06 + 0.04 +0.03

P(x) = 0.64

Therefore, the probability is 0.64.

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−16−8≥0
How is it solved?

Answers

Answer:Subtract

8

from

16

.

24

0

Step-by-step explanation:

Write a statement to represent the expression h-9

Answers

expression h-9 is represented as statement 'h decreased by 9'.

What is subtraction?

Subtraction is an operation used to find the difference between numbers. When you have a group of objects and you take away a few objects from it, the group becomes smaller. For example, you bought 9 cupcakes for your birthday party and your friends ate 7 cupcakes. Now you are left with 2 cupcakes. This can be written in the form of a subtraction expression: 9 - 7 = 2 and is read as "nine minus seven equals two".

Given expression

h-9

Here h is a variable, 9 is constant and - is the symbol of subtraction.

the phrase "decreased by" tells us to use subtraction.

Statement for the above expression

h decreased by 9.

Hence, the statement 'h decreased by 9' represents expression h - 9.

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If it is 10:00 A.M. Friday in Miami, Florida Eastern time zone (based on 75o W), what is time and day is it in Los Angeles California (120oW), Pacific Time zone

Answers

Therefore, the answer to the time dilemma is 7 am on Friday, which is the right choice.

Define time.

In mathematics, time is described as a continuously and continuous series of events that take place in chronologically from the past through to the present and into the future. The duration of events, the gaps between them, or even the sequence of occurrences can all be quantified, measured, or compared using time.

Here,

If it is 10 a.m. on Friday in Miami, Florida's Eastern time zone, it is 7 a.m. on Friday in Los Angeles,

California's (120 o W) pacific time region

since Miami, Florida's Eastern time zone is three hours early of Los Angeles.

Thus,

the correct response is 7 am on Friday.

Therefore, the answer to the time dilemma is 7 am on Friday, which is the right choice.

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Consider the rotation of figure WXYZ shown. Complete the statements about the transformation shown.

Answers

Answer:

Can you please show the picture

Step-by-step explanation:

Look at the figure at the right. Explain one
thing that representing the area of the figure as 9(x + 3) - 6x tells
you about the situation. Then write an equivalent expression for
the area. Explain what information is in your expression that is not
in 9(x + 3) - 6x.

Answers

Answer:

3(x + 2) and 3x + 6 are equivalent expressions because the value of both the expressions remains the same for any value of x. 3x + 6 = 3 × 4 + 6 = 18.

pls mark as brainliest

A patient recently diagnosed with Alzheimer's disease takes a cognitive abilities test and scores a 45.
The mean on this test is 52 and the standard deviation is 5. What percent of patients have his score and
below?

Answers

We can use the Z-score formula to determine what percent of patients have a score equal to or lower than the patient's score of 45 on the cognitive abilities test.

What does math's % mean?

In essence, percentages are fractions with a 100 as the denominator. We place the percent symbol (%) next to the number to indicate that the number is a percentage. For instance, you would have received a 75% grade if you answered 75 out of 100 questions correctly on a test (75/100).

The Z-score formula is:

Z = (X - M) / SD

Where:

X = Patient's score (45)

M = Mean score (52)

SD = Standard deviation (5)

Plugging in the given values:

Z = (45 - 52) / 5

Z = -7 / 5

Z = -1.4

This Z-score of -1.4 corresponds to a percentage of approximately 9.1% of patients who have a score equal to or lower than the patient's score of 45 on the cognitive abilities test.

It is important to note that this percentage is approximate, as it's calculated based on the standard normal distribution table which provides approximate values, and it assumes the scores of the test are normally distributed, in case this assumption is not met the result may not be accurate.

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Why can the sine ratio never be greater than 1?

Answers

Because the sine and cosine ratios involve dividing a leg (one of the shorter two sides) by the hypotenuse (the longest side), the ratio values will never be greater than one, because (some number) / (a larger number) is always less than one.

What is sine and cosine?

Sine & cosine are trigonometric functions of an angle in mathematics. In the context of a right triangle, the sine and cosine of an acute angle are defined as follows: for the specified angle, the sine is the ratio of the length of the side opposite that angle to the length of the triangle's longest side (the hypotenuse), and the cosine is the ratio of the length of the adjacent leg to that of the hypotenuse.

The sine and cosine functions for an angle θ are simply denoted as sin θ and cos θ. In general, the definitions of sine and cosine can be extended to any real value expressed in terms of the lengths of specific line segments in a unit circle.

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Ai Mi went to the store to buy some chicken. The price per pound of the chicken is $3. 50 per pound and she has a coupon for $2. 50 off the final amount. With the coupon, how much would Ai Mi have to pay to buy 3 pounds of chicken? Also, write an expression for the cost to buy pp pounds of chicken, assuming at least one pound is purchased. ​

Answers

Ai Mi have to pay $10.50 to buy 3 pounds of chicken.

An expression for the cost to buy pp pounds of chicken, assuming at least one pound is purchased.

Cost = (3.5 * pp) - 2.5

The cost to buy 3 pounds of chicken without the coupon would be 3 * $3.50 = $10.50

With the coupon, Ai Mi would have to pay $10.50 - $2.50 = $8.

The expression for the cost to buy pp pounds of chicken:

Cost = (3.5 * pp) - 2.5

Here, pp represents the number of pounds of chicken that Ai Mi wants to buy.

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How do you describe similarity transformations?

Answers

A dilation or combination of stiff movements and dilations constitutes a similarity transformation.

Similar figures don't always have to have the same size but share the same form.

A transition called a dilation keeps shape but not size. So a dilatation is a motion that is not rigid. A dilation or combination of stiff movements and dilations constitutes a similarity transformation. If and only if a similarity transformation translates one of the geometric figures onto the other, then two figures are said to be similar. Similar figures don't always have to have the same size but share the same form.

Similarity transformations include translation, reflection, rotation, and dilation. Rotation, reflection, and translation retain both size and form since they are rigid movements, whereas dilation just makes sure that the shape is preserved.

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What is the length of AB?
Round to one decimal place.

Answers

Answer:

5.4

Step-by-step explanation:

"The 'Angle Bisector' Theorem says that an angle bisector of a triangle will divide the opposite side into two segments that are proportional to the other two sides of the triangle."

thus,

DB/AB = DC/AC

2.8/AB = 3/5.8

multiply both sides by AB to make it a numerator

2.8 = 3*AB/5.8

multiply both sides by 5.8/3 to isolate AB

2.8 * 5.8/3 = AB = 5.413 ≈ 5.4

Therefore , the solution of the given problem of triangle comes out to be

AB length = 5.4 units.

Defining a triangle

In a plane, any three points can be joined to form triangles, which have three sides and three angles. They were among the first geometrical forms to be investigated. Because each polygon, regardless of its number of sides (four, five, six, or n), may be divided into a triangle, they are especially significant.

Here,

According to the "Angle Bisector Theorem," a triangle's opposing side will be divided into two segments that are proportional to the other two sides.

thus,

DC/AC = DB/AB.

2.8/AB = 3/5.8

By multiplying both sides by AB, the numerator is created.

2.8 = 3*AB/5.8

To distinguish AB, multiply both sides by 5.8/3.

2.8 * 5.8/3 = AB = 5.413 ≈ 5.4

Therefore , the solution of the given problem of triangle comes out to be

AB length = 5.4 units.

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A ​$280 suit is marked down by ​30%. Find the sale price.

Answers

Answer:

To find the sale price of the suit, we need to first calculate the discount. The discount is equal to the original price multiplied by the discount rate, which in this case is $280 * 30% = $84.

Then we subtract the discount from the original price to find the sale price: $280 - $84 = $196.

So the sale price of the suit is $196.

Step-by-step explanation:

C. It will
make 18 more parts.
5
Which number line shows the solution set to 1< -49 - 13/9 x <55/3?

Answers

The inequality is x 26 and asks for the values of x where the perimeter of the rectangle is smaller than 112.

The definition of inequality

In mathematics, a link between two terms or values that isn't comparable is referred to as an inequality. As a result, imbalance leads to inequality. A mathematical inequality is a relationship between two non-equal expression . Egality is distinct from inequality. The not common basic is frequently used to denote that two values aren't actually equal (). Various inequalities are used to contrast the values, no matter how small or large. Many simple inequalities can be resolved by switching the two aspects until the variables are the only thing remaining. But a number of things encourage inequality: Values that are negative are divided or added along either side.

Here,

given

A rectangle's perimeter is determined by its length, width, and height.

rectangle's perimeter is calculated as length + length + width + width.

(x +4) + (x+4) + x + x < 112

x + 4 + x + 4 + x + x < 112

4x + 8 < 112

4x < 104

x < 26

In order to find the x value that occur when the rectangle's boundary is less than 112, the inequality is x 26.

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I need help not bad like ASAP but need help

Answers

The inverse of this function is f(x) = 3x - 6.
You can find the inverse of any function by switching the f(x) and × values. Once you've done that, solve for the new f(x). The result will be the inverse function. The step-by-step process is below.

PLEASE HELP ASAP! 55 POINTS Jackie wraps a sheet of paper tightly around a wax candle whose diameter is two inches, then cuts through them both with a sharp knife, making a 45° angle with the candle's axis. After unrolling the paper and laying it flat, Jackie sees the wavy curve formed by the cut edge, and wonders whether it can be described mathematically. Sketch this curve, then show that it is sinusoidal. It is very helpful to use radian measure to describe angles in this problem.

Answers

Answer:

Step-by-step explanation: You can make a 90-degree angle and put a line threw the center of the angle for a 45-degree angle. Then you can erase 1 side of the angle that was making a 90-degree angle.

PLEASE HELP ME

6.
Dom is selling pizza at Hoopfest to help him raise money to go on a road trip. He wants each topping to increase the total price at a rate of $1.25. When someone ordered a 3-topping pizza the price was $16.25. Write an equation to represent this data.​

Answers

Answer:

P = 12.50 + 1.25t

Step-by-step explanation:

To find an equation to represent the price of a pizza, we need to first figure out the original price of a pizze.
Since the price is 16.25 dollars, and there are 3 toppings, each of which cost 1.25, the original price would be:

16.25 - 3(1.25) = 12.50

Thus, we can represent the cost of a pizze with toppings as:
P = 12.50 + 1.25t, where P = Price and t = amount of toppings.

Hope this helps!

GIVING BRAINLIEST! HELP

Answers

Answer:

Below

Step-by-step explanation:

125 kg   *  2.204 pound/kg = 275.5 pounds

Answer:

D. 275.5 pounds

Step-by-step explanation:

1 kg = 2.204 lbs

=> 125 kg = (125 kg)(2.204 lbs/1 kg)  = 275.5 lbs

Which one of these is correct? Could you explain

Answers

Because we have a x² leading term, this inequality is a quadratic and can be written in standard form.

Quadratic Standard Form:

ax²+bx+c=0

Replace = sign with <:

ax²+bx+c<0

So, we want to get 0 on the right side of the inequality to be in standard form.

To do this, we’ll add 18 to both sides:

x²-9x+18<0

This cancels out the -18 on the right, making it 0 because -18+18=0, and of course to keep the equation equal, we must add 18 to the left side as well.

Now, let’s understand the inequality. In standard form, a quadratic is equal to 0 to find the zeros. This is so that we can find what x-values will produce an output (y-value) of 0, as a y-value of 0 means no vertical change. It shows what x-values intercept the x-axis, which are the zeros (or roots) of the quadratic. Therefore, this inequality means: what x-values are less than 0, or go below the x-axis. To find this, we will factor the quadratic to see what x-values produce y-values less than 0.

Factor:

We know that -3-6=-9 and -3•-6=18

(x-3)(x-6)<0

So, the zeros of the function are x=3, 6. However, for x-values 3 and 6, the output is 0 since these values are x-intercepts. The inequality states less than 0, so we need look at x-values that produce a negative output.

So, if x=3, 6, then x>3 and x<6. Let’s look at the graph:

A math club is having a bake sale. Find the area of the bake sale sign.


The Area of the sign is_ square feet

Answers

The bake sale sign has a 6 ft2 space.

What is area?

An object's area is how much space it takes up in two dimensions.

It is the measurement of the quantity of unit squares that completely cover the surface of a closed figure.

The word "area" refers to a free space.

A shape's length and width are used to compute its area. Unidimensional length is expressed in terms of feet (ft), yards (yd), inches (in), etc.

But a shape's area is a two-dimensional measurement. In order to measure something in a square, it is done so using measurements like square inches (in2), square feet (ft 2), square yards (yd2), etc.

The majority of forms and things have corners and edges. 

According to our question-

The opposite sides of a rectangle's quadrilateral (it has four sides and four angles) are equal and parallel.

Area of a rectangle equals length times width.

The area of the bake sale sign = length * breadth

Hence, The bake sale sign has a 6 ft2 space.

learn more about area click here:

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