Select the correct answer.

Which function is represented by this graph?




A.

f(x) = -|x − 1| + 8

B.

f(x) = -|x − 8| + 1

C.

f(x) = -|x + 8| − 1

D.

f(x) = -|x + 1| − 8

Answer:

(1/3x) + 2

Step-by-step explanation:

you need to do the opposite reciprocal of -3x

the opposite sign of - is + so it is positive

the reciprocal of 3 is 1/3

Answer:

A. x^2    x ≤ 1

B. value=0 because (0)^2=0

Answer:

Choice C

Step-by-step explanation:

We are given the function:

[tex]\displaystyle \large{f(x)=3x+5}[/tex]

Let [tex]\displaystyle \large{y=f(x)}[/tex] therefore:

[tex]\displaystyle \large{y=3x+5}[/tex]

To find an inverse of function, swap the position of x and y:

[tex]\displaystyle \large{x=3y+5}[/tex]

Then solve or simplify the equation in term of y:

[tex]\displaystyle \large{x-5=3y}\\\displaystyle \large{\frac{x-5}{3}=y}\\\displaystyle \large{y=\frac{1}{3}x-\frac{5}{3}}[/tex]

Therefore, the answer is choice C.

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Summary

An inverse function is a function that swaps the position of domain and range, defined as notation [tex]\displaystyle \large{f^{-1}(x)}[/tex] or [tex]\displaystyle \large{y^{-1}}[/tex] generally. When finding an inverse function, make sure to swap position of range and domain, if given the interval.

Only one-to-one functions may have an inverse — multiple-to-one can not have an inverse such as quadratic function or any even-degree polynomial functions.

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Others

If you’re still curious or stuck in this question or have any doubts regarding my explanation, answer or this question — always let me know through comments!

Answer:

I belive it should be 96 divided by 8 because it's 2 variable given to us. answer should be 12 according to this but if you want to decide the 96 cookies by unknown students/trays then you might loose. my best advice

Answer:

31p + 10q2

Step-by-step explanation:

Answer:

10q^2+31p

Step-by-step explanation:

Answer:67.6275

Step-by-step explanation:

Answer: D

Step-by-step explanation:

To compare the two lines, we want to a=make sure that they are in the same form.

3y-x=-7           [add both sides by x]

3y=x-7            [divide both sides by 3]

y=1/3x-7

Now that the equations are in the same form, we can compare them.

In order for the equations to have the same y-intercept, the "b" must be the same. The y-intercept for the first equation is -4, while the y-intercept for the second equation is -7. Therefore, A is not the answer.

If the lines are parallel, they must have the same slope. Parallel lines NEVER touch or cross, hence the slope has to be the same. The slope for the first equation is -13, while the slope for the second equation is 1/3. Therefore, B is not the answer.

We know that E is not the answer because the paragraph above proved that the slope are not equal.

We also know that the equations do not represent the same line. If they are the same line, the equations would be identical.

We know that D is the correct answer. A system of linear equaitons can only have ONE solution. We set the equations equal to each other to find the solution. The intersection point is the solution.

Therefore, we know that D is the right answer.

Answer:

Step-by-step explanation:

What is the question asking

Answer:

4) 4

Step-by-step explanation:

A square with side lengths of 4 units will have the same perimeter and area.

4^2=16 square units

4*4=16 units

Answer:

yes 4.5 is correct

Step-by-step explanation:

Answer:

Your friend owes you $4.50

Step-by-step explanation:

0.25 · 18 = 4.50

Answer:

-9, 3.5, -2.25, and -9

Step-by-step explanation:

I'm assuming you mean the opposite numerical value so, the opposite of a positive number is a negative one and vice versa.

Answer:

Step-by-step explanation:

Using opposite by the same vertex and supplementary angles, it is found that the measure of angle 4 is of 66º.

In this problem, angles 5 and 7 are opposite by the same vertex, hence:

m<7 = m<5 = 114º.

Angles 4 and 5 are supplementary, hence:

m<4 + m<5 = 180º.

m<4 = 66º.

The measure of angle 4 is of 66º.

More can be learned about supplementary angles at https://brainly.com/question/2046046

Answer:

Answer: −2x2+28x−87 is the simplified form for -2(x-7)²+11

Answer:

20

Step-by-step explanation

use the formula a²+b²=c²

since a=21 and c=29 you need to solve for b

Put 21 in for a and 29 in for c

21²+b²=29²

21²=441

29²=841

so then the equation would be 441+b²=841

subtract both sides by 441

then you have b²=400

now just find the square root of 400

√b²=√400

b=20

Answer:

  AD/DC = AB/CB

Step-by-step explanation:

The effect of an angle bisector is to make the sides of the triangle on one side of the bisector proportional to the corresponding sides of the triangle on the other side of the bisector. Here, that proportion can be written ...

  [tex]\dfrac{AD}{DC}=\dfrac{AB}{CB}[/tex]

Answer:

10 feet

Step-by-step explanation:

Perimeter of a rectangle =2(l+b)

2(25+b)=70

50+2b=70

CLT

2b=70-50

2b=20

Divide both sides by 2

=10

Answer:

Step-by-step explanation:

Area=bh/2=64, b=2h --->h2=64 --> h=8 (positive root) and b=16.

the important thing you need to know in solving mathematics is to understand the question and the formulae that follws.for finding equations ur general formulae us:

y-y1=m(x-x1)

do not solve y and x.

the y1 and x1 are ur x and y values from ur coordinates respectively.

m is ur gradient or slope given.

plug in the values.

Step-by-step explanation:

y-y1=m(x-x1)

y-4=2/5(x-(-2))

the x-(-2) will change to positive thus giving you an equation of:

y-4=2/5(x+2).

option 1

hope i helped ❤

Answer:

[tex](1/2*4)*5+(1/2*4)*5+(1/2*4)*5+(1/2*4)*5+(4*4)=2*5+2*5+2*5+2*5+16=10^2+10^2+10^2+10^2+16^2=40^2+16^2=56^2[/tex]

Step-by-step explanation:

a triangle is 1/2 of the base x height. so the area of 4 triangles and the surface area of the base square is the total surface area.

Answer:

More info? Thanks =)

Step-by-step explanation:

The average speed is the ratio of the total distance to the total time. Then the average distance covered in one hour​ by the bus is 60 kilometers.

The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.

We know that the speed formula

[tex]\rm Speed = \dfrac{Distace }{Time }[/tex]

A bus traveled 63 km in the first hour 60 km in the second hour and 57 km in the third hour.

Then the average speed will be

[tex]\rm Average \ speed = \dfrac{Total \ distace }{Total \ time }\\\\\\Average \ speed = \dfrac{63 + 60 +57}{1+1+1}\\\\\\ Average \ speed = \dfrac{180}{3}\\\\Average \ speed = 60 \ km/h[/tex]

The average distance covered in one hour​ by the bus is 60 kilometers.

More about the speed link is given below.

https://brainly.com/question/7359669

Answer:

I have learned a lot in math, although it was years ago on of my favorite things to learn was to multiply and divide. They were not only easy but also fun.

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

We are looking for when x approaches 1 from the left.

This occurs when x<1, so we use the first function.

Next, we just direct substitute 1 in the function.

[tex]2(1) + 2 = 4[/tex]

The answer is 4

Answer:

which might help. It sounds like you have 4 semicircles which can be thought of as a division problem 12/3 = 4. Note how I'm dividing by 3 which is the width of each section (eg: from 6 to 9 is 9-6 = 3 units)

Step-by-step explanation:

Answer:

idek i need help too!!

Step-by-step explanation:

Answer:

yes becauss it can be expressed as a ratio

Step-by-step explanation:

Answer:

174

Step-by-step explanation:

Answer:

100-(x+2)

Step-by-step explanation:

Answer:

100 − (x - 2)

Step-by-step explanation:

100-(x+2)

100+(-x-2)

-100x-200

100-(x-2)

100+(-x+2)

-100x+200

Answer:

the answer is the first one

Step-by-step explanation:

The  functions will represent $500 placed into a mutual fund yielding 10% per year for 4 years is  A = 500(1.1)^4

In order to compute compound interest, multiply the principle of the original loan by the annual interest rate multiplied by the number of compound periods minus one. You will then be left with the principal amount of the loan plus compound interest.

given:

P= $500

First, convert R as a percent to r as a decimal

r = R/100

r = 10/100

r = 0.1 rate per year,

Then solve the equation for A

A = P(1 + r/n)nt

A = 500.00[tex](1 + 0.1/1)(1)^4[/tex]

A = 500.00[tex](1.1)^4[/tex]

A = $732.05

Hence, the functions will represent $500 placed into a mutual fund yielding 10% per year for 4 years is  A = 500(1.1)^4

Learn more about Compound Interest here:

https://brainly.com/question/14295570

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The length of the rectangle is 18 cm, and the width is 24 cm as per the concept of perimeter.

Let the length of the rectangle be 3x and the width be 4x, where x is a common factor.

The perimeter of a rectangle is given by the formula:

Perimeter = 2 × (Length + Width)

Given that the perimeter is 84 cm, we can write the equation as:

84 = 2 × (3x + 4x)

Now, let's solve for x:

84 = 2 × 7x

42 = 7x

x = 42 / 7

x = 6

Now that we have the value of x, we can find the length and width of the rectangle:

Length = 3x = 3 × 6

           = 18 cm

Width = 4x = 4 × 6

          = 24 cm

Therefore, the length of the rectangle is 18 cm, and the width is 24 cm. The length and width are in the ratio 3:4, and the perimeter of the rectangle is indeed 84 cm.

To learn more about the rectangular perimeter;

https://brainly.com/question/22109593

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