Which statement describes function composition with respect to the commutative property?
O Given f(x) = x2 - 4 and g(x) = x-3, (fºg)(2) = -3 and (gºf)(2) = -3, so function composition is commutative.
O Given f(x) = 2x-5 and g(x) = 0.5x - 2.5, (fºg)(x) = x and (gof)(x) = x, so function composition is commutative
Given f(x) = x? and g(x)=xx. (fºg)(0) = 0 and (gºf)(0) = 0, so function composition is not commutative.
O Given f(x) = 4x and g(x) = x? (fog)(x) = 4x2 and (gºf)(x) = 16x?, so function composition is not commutative

Answer:

it's in the picture

Step-by-step explanation:

it's in the picture

Answer:

7 :)

Step-by-step explanation:

Sharonda is plotting quadrilateral PQRS on the graph below She will plot the fourth and final vertex, S, at (9, 5), the length of side PS will be 11 units.

A quadrilateral is a four-sided polygon. The sum of the interior angles of a quadrilateral is always equal to 360 degrees. There are several types of quadrilaterals, including: Square, rectangle, parallelogram, rhombus, trapezoid, and kite.

Length of side PS can be calculated using the distance formula,

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Where,

P(-2, 5) = ([tex]x_1,y_1[/tex]) (the coordinate of P is gotten from the graph).

Given that,

S(9, 5) = ([tex]x_2,y_2[/tex])

PS = [tex]\sqrt{(9-(-2))^2+(5-5)^2}[/tex]

PS = [tex]\sqrt{11^2+0^2}[/tex]

PS = [tex]\sqrt{121}[/tex]

PS = 11units.

Thus, the answer is 11 units.

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Answer:

45

Step-by-step explanation:

So we have the expression:

[tex]ab^2-d[/tex]

And we want to evaluate it for a=3/4, =-8, and d=3.

Thus, substitute in these values:

[tex]=(\frac{3}{4})(-8)^2-3[/tex]

Do the exponent first. -8 squared is positive 64:

[tex]=(\frac{3}{4})(64)-3[/tex]

And 3/4 times 64 is 48:

[tex]=(48)-3[/tex]

Subtract:

[tex]=45[/tex]

Answer:

Option (2)

Step-by-step explanation:

If m(x) and n(x) are the functions inverse of each other,

Then the following condition should be fulfilled,

m[n(x)] = n[m(x)] = x

Here, m(x) = [tex]\frac{3x}{x+7}[/tex] and n(x) = [tex]\frac{7x}{3-x}[/tex]

m[n(x)] = [tex]\frac{3(\frac{7x}{3-x})}{(\frac{7x}{3-x})+7}[/tex]

          = [tex]\frac{21x}{7x+21-7x}[/tex]

          = x

n[m(x)] = [tex]\frac{7(\frac{3x}{x+7})}{3-\frac{3x}{x+7}}[/tex]

           = [tex]\frac{21x}{3x+21-3x}[/tex]

           = x

Therefore, [tex]\frac{3(\frac{7x}{3-x})}{(\frac{7x}{3-x})+7}=\frac{7(\frac{3x}{x+7})}{3-\frac{3x}{x+7}}=x[/tex] will be the correct option.

Option (2) will be the answer.

Answer:

Step-by-step explanation:

Perimeter of a rectangle = 2l + 2w

where

l is the length

w is the width

From the question

Perimeter = 578 yds

The statement

The length is one more than three times the width is written as

l = 1 + 3w

Substitute the expression into the above formula and solve for the width

That's

578 = 2(1 + 3w) + 2w

578 = 2 + 6w + 2w

8w = 576

Divide both sides by 8

w = 72

Substitute w = 72 into l = 1 + 3w

That's

l = 1 + 3(72)

l = 216 + 1

l = 217

Therefore the dimensions are

length = 217 yd

width = 72 yd

Hope this helps you

Answer:

Hey there!

Irrational numbers are NEVER integers. All integers are rational.

Hope this helps :)

Answer:

m = 3/40

Step-by-step explanation:

4 = 3/4m - 6

m*4 = m(3/4m -6)

4m = m*3/4m + m*-6

4m = 3/4 - 6m

6m + 4m = 3/4

10m = 3/4

m = (3/4)/10

m = 3/40

check:

4 = 3/(4*3/40) - 6

4 = 3/(12/40) - 6

4 = (3*40)/12 - 6

4 = 120/12 - 6

4 = 10 - 6

Answer:

45231 = [tex]4 \times 10000 + 5\times 1000 +2 \times 100 + 3\times 10 +1 \times 1[/tex]

Step-by-step explanation:

Given the number:

45,231

We have To write the given number in the expanded form.

Solution:

First of all, let us write the different digits of the number:

Unit's digit = 1

Ten's digit = 3

Hundred's digit = 2

Thousand's digit = 5

Ten thousand's digit = 4

Unit's digit has to be multiplied with 1.

Ten's digit has to be multiplied with 10.

Hundred's digit has to be multiplied with 100.

Thousand's digit has to be multiplied with 1000.

Ten Thousand's digit has to be multiplied with 10000.

And then they have to be added so that the number gets formed.

45231 = [tex]4 \times 10000 + 5\times 1000 +2 \times 100 + 3\times 10 +1 \times 1[/tex]

Answer:

5y = -5

Step-by-step explanation:

-2(3y+5)= -4

Divide each side by -2

-2/ -2  (3y+5)= -4/-2

3y+5 = 2

Subtract 5 from each side

3y +5 -5 = 2-5

3y = -3

Divide by 3

3y/3 = -3/3

y = -1

5y = 5*-1 = -5

Answer:

33

Step-by-step explanation:

[(3+5)⋅2−5]⋅3

[8·2−5]⋅3

[16−5]⋅3

11⋅3

33

Answer:

33

Step-by-step explanation:

Lets break it down. Remember PEMDAS

[(3+5)⋅2−5]⋅3

[(8)⋅2-5]⋅3 start with the parenthisis

[16-5]⋅3 multiply

[11]⋅3

33

hope this helps :)

Answer:

18

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

Since two negative sign  = positive sign

Therefore,

7 + 11 = 18

hope it helps

Answer:

[tex]6 \frac{1}{6} [/tex]

Step-by-step explanation:

[tex]37 \div 6 = 6 \: remainder \: 1 \\ = 6 \frac{1}{6} [/tex]

Answer:

a) T

B) WT and TZ

C) ZTU

D) YTX

E) YT and WT

F) Angle 5 - right angle

G) obtuse angle (>90)

H) acute angle (<90)

I) obtuse angle, unless it means the other side which would be a reflex angle instead (>180)

Hope this helped!

Answer:

  $6

Step-by-step explanation:

Between 1 and 2 miles, the charge is $6.

Answer:

Explained below.

Step-by-step explanation:

The value of different types of coins are as follows:

1 penny (p) = 1 cent

1 nickel (n) = 5 cents

1 dime (d) = 10 cents

1 quarter (q) = 25 cents

It is provided that Taylor has 18 cents in dimes and nickels in her pocket.

This is not possible.

Because the sum of any number of dime and nickel coins will always be a multiple of 5.

a·d + b·n = 10a + 5b = 5 (2a + b)

The value 18 cents can be formed as follows:

8p + d = 18 cents

3p + n + d = 18 cents

3n + 3p = 18 cents

Answer:

x = -2

y = -4

Step-by-step explanation:

Graph the systems of equations. Then analyze the graph for the intersection. The point of intersection will be your solution set.

Answer:

[tex]x = -2\\y = -4[/tex]

Step-by-step explanation:

Question

[tex]\left \{ {{-2x + 2y = -4} \atop {3x + 3y = -18}} \right.[/tex]

Multiply throughout the equation to eliminate a variable:

[tex]-2x + 2y = -4[/tex] becomes [tex]-6x + 6y = -12[/tex] when multiplied by 3

[tex]3x + 3y = -18[/tex] becomes [tex]6x + 6y = -36[/tex] when multiplied by 2

Then add the values of the variables together:

[tex]-6x + 6x = 0\\6y + 6y = 12y \\-12 - 36 = -48[/tex]

And a new equation forms:

[tex]0 + 12y = -48[/tex]

[tex]y = -4[/tex]

Plug in [tex]y[/tex] to any of the previous equations to solve for [tex]x[/tex] :

[tex]-2x + 2y = -4[/tex]

[tex]-2x + 2(-4) = -4[/tex]

[tex]-2x - 8 = -4[/tex]

[tex]-2x = 4[/tex]

[tex]x = -2[/tex]

Answer: Use distributive practice rather than massed practice. ...

Study in triads or quads of students at least once every week. ...

Don't try to memorize formulas (A good instructor will never ask you to do this). ...

Work as many and varied problems and exercises as you possibly can. ...

Look for reoccurring themes in statistics.

Answer:

Here is a solution: (since idk the length or width of the pryamid)

Step-by-step explanation:

use the solution for volume.

V=L*W*H

(V= volume

L=Length

W=Width

H=Height)

Answer:

$698.26

Step-by-step explanation:

Balance after 13 years:

Answer:

When factorizing one number, what you get are other numbers that, when they get multiplied, the result of the product is the first number.

In our case, the pair of 3, 12 and the pair of 4, 9 are factors of 36, as it's the number we get when multiplying them:

We can factroize 36 like this: 2*2*3*3, and:

The factor pairs belong to the number 36.

The breaking or decomposition of an entity (such as a number, a matrix, or a polynomial) into a product of another entity, or factors, whose multiplication results in the original number, matrix, etc., is known as factorization or factoring in mathematics.

As per the given data:

The factor pairs are as follows:

3, 12

4, 9

We have to find out that of which number these factor pair belongs.

When the factors of any number are multiplied with each other, we get that number.

For finding out the number, we need to multiply the factor pairs:

3 × 12 = 36

4 × 9 = 36

The factor pairs belong to the number 36.

Hence, The factor pairs belong to the number 36.

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Answer:  8.4 inch

Step-by-step explanation:

To find the size of the square, just find the square root of 70. Because the area of a square is the side length squared

[tex]\sqrt{70}[/tex]  =  8.3666  rounded to the nearest 10th is  8.4  inch

The mean is affected by the skewness, whereas the median is not.

==================================

Let's go through the answer choices to see which are true and which are false.

Step-by-step explanation:

Since, K is the midpoint of JL.

[tex] \therefore \: JK = KL \\ 8x + 11 = 14x - 1 \\ 11 + 1 = 14x - 8x \\ 12 = 6x \\ \frac{12}{6} = x \\ 2 = x \\ \\ \because \: JL = JK + KL \\ \therefore \: JL = 8x + 11 + 14x - 1 \\ \therefore \: JL = 8x + 14x + 11 - 1 \\ \therefore \: JL = 22x + 10\\ \therefore \: JL = 22 \times 2 + 10..(plug \: x = 2) \\ \therefore \:JL = 44 + 10 \\ \huge \red{ \boxed{\therefore \:JL = 54}}[/tex]

Answer:

The CORRECT anser is B and D

Step-by-step explanation:

Hope this helps I just took the quiz!

Answer:

h=0.8

Step-by-step explanation:

Steps

$h+\frac{6}{5}=2$

$\mathrm{Subtract\:}\frac{6}{5}\mathrm{\:from\:both\:sides}$

$h+\frac{6}{5}-\frac{6}{5}=2-\frac{6}{5}$

Show Steps

$\mathrm{Simplify}$

$h=\frac{4}{5}$

Answer:

The answer would be 2h

Step-by-step explanation:

please let this be helpful

Answer:

169

Step-by-step explanation:

14 + 162 - 7 = 169

hoped this helped:)

Answer:

Step-by-step explanation:

15 - g  = 23 - 2g

 +2g         +2g

15 + g  =  23

   -15       -15  

  g  =  8

Answer:

g=8

Step-by-step explanation:

15-g=23-2g

g=23-15

g=8