If Fx) = x - 7 and G(x) = x^3, what is G(F(x))?
A. x^2(x-7)
B. x^2 + x-7
C. x^3.7
D. (x-7)^3

Answer:

g(5)=-19

Step-by-step explanation:

Plug in 5 for the x's and get g(x)=-3(5)-4 and then -15-4 which is -19 so g(x)=-19

Answer:

Step-by-step explanation:

[tex]g( x ) = -3 x -4\\\\g(5) = \:?[/tex]

Substitute 5 for x in the equation

[tex]-3(5)-4\\-15-4\\= -19[/tex]

Answer:

1/5

Step-by-step explanation:

1= 100%

1/5= 100%/5

1/5= 20%

Fraction equivalent to 20% is [tex]\frac{1}{5}[/tex]

In mathematics, a percentage is a number or ratio expressed as a fraction of 100.

A numerical quantity that is not a whole number.

We know,

A percentage is a number or ratio expressed as a fraction of 100.

Therefore,

20% = [tex]\frac{20}{100}[/tex]

Then,

[tex]\frac{20}{100}=\frac{1}{5}[/tex]

Hence, the fraction equivalent to 20% is  [tex]\frac{1}{5}[/tex]

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Answer:

15

Step-by-step explanation:

To find the average rate if change of the exponential function between the interval [2, 6], use the formula, [tex] m = \frac{p(b) - p(a)}{b - a} [/tex]

Where,

[tex] a = 2, p(2) = 4 [/tex]

[tex] b = 6, p(6) = 64 [/tex]

Plug in the above values into the formula:

[tex] m = \frac{64 - 4}{6 - 2} [/tex]

[tex] m = \frac{60}{4} [/tex]

[tex]m = 15[/tex]

Average rate of change is 15

Answer:

Domain = 0≤m≤20 for mEZ+

Range = $100≤A≤$700 for all values of m

Step-by-step explanation:

Initial amount in the account = $100

Amount saved by beth monthly = $30

Amount in the bank after X month = $100+$30X where X is the number of months beth intend to save up to.

The amount in her bank in her first month = $100+$30(1)

= $100+$30

= $130

Amount saved in the second month will be when X = 2

= $100+$30(2)

= $100+$60

= $160

The amount in the bank will keep increasing by $30 monthly until the 20month.

The amount he will have in her bank in the 20th month will be at when X = 20

= $100+30X

= $100+30(20)

= $100+$600

= $700

This means that her money will be $130 in the first month and will keep increasing until it reaches $700 in the 20th month.

The DOMAIN will be the interval of the time she used in saving. Since she saved for 20months, the domain will be expressed as 0≤m≤20 for mEZ+ where m is the number of month she uses to save.

The Range will represent the amount she saved within the specified time and will be expressed as $100≤A≤$700 for all values of m.

Where $100 is the amount in the account initially and $700 is the amount in the account after 20 months.

Step-by-step explanation:

You need to ask a question about the problem/s you need help with

your answer is false

Answer:

n^4+ n^3&i + n^2*i^2 + n*i^3+i^4

Answer:

2n≤5

Step-by-step explanation:

Answer:

2n < 5

Step-by-step explanation:

2 times a number has to be less than 5.

So assuming the number is n,

2n < 5

Please pick me as brainliest.

Answer:

B

Step-by-step explanation:

To get x by itself, you have to divide each side by the number that x is attached with.

For the first one, divide each side by 3 so that x is by itself and 21/3 is 7 to get x<7

Do the same with the other side but with 5 to get x>11

Answer:

Cups of carrot needed for 9 servings = 4.5 cups

Step-by-step explanation:

A recipe for sesame chicken calls for cup of chopped carrots

recipe 2 is for 4 servings

That is

2 cups of carrot = 4 servings

2 : 4

= 1 : 2

1 cup of carrot = 2 servings

how many cups of

carrots are needed for 9 servings?

Let x= number of carrot needed for 9 servings

1 : 2 = x : 9

1 /2 = x/ 9

Cross product

1*9 = 2*x

9=2x

Divide both sides by 2

9/2 = x

x= 4.5 Or 4 1/2

Answer:

The length is 16 ft, and the width is 3 ft.

Step-by-step explanation:

Let L = length & let W = width.

The perimeter of a rectangle is

P = 2(L + W)

The area of a rectangle is

A = LW

We know the perimeter and the area, so we substitute those values int he equations above and we switch sides in both equations.

Perimeter: 2(L + W) = 38

Divide both sides by 2:

L + W = 19

Area: LW = 48

We have a system of two equations in two unknowns:

L + W = 19

LW = 48

Solve the first equation for L and substitute it into the second equation.

L = 19 - W

(19 - W)W = 48

19W - W^2 - 48 = 0

Multiply both sides by -1, and rearrange the order of the terms.

W^2 - 19W + 48 = 0

(W - 16)(W - 3) = 0

W - 16 = 0 or W - 3 = 0

W = 16 or W = 3

Use W = 3 to find L

L = 19 - W

L = 19 - 3

L = 16

Answer: The length is 16 ft, and the width is 3 ft.

Answer:

1.64

Step-by-step explanation:

I'm taking the test rn

The difference in length between segments AB and AD is 1.63935 units.

We have given that,

If x = 39, y = 58, and the measure of AC = 4 units, what is the difference in length between segments AB and AD Round your answer to the nearest hundredth. 0.74 units 1.17 units 1.64 units 2.14 units.

[tex]sin(x)=\frac{Opposite \ side}{hypotenuse}[/tex]

sin 39=AC/AB

AB=AC/sin39

=4/sin39

[tex]=6.35606[/tex]

TO FIND AD:

sin 58=AC/AD

AD=AC/sin58

=4/sin58

[tex]=4.71671[/tex]

The is difference between AB and AD is the length

AB-AD=6.35606-4.71671

AB-AD= 1.63935 units

The difference in length between segments AB and AD is 1.63935 units.

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-2y+16=6+3y

16-6=3y+2y

10=5y

5=y

y=4

hope it helps

Answer:

-7y-3=2(y+4)

-(11)/(9)

Step-by-step explanation:

Answer: x y

0 1

-2 3

- 1 1

1 3

2 5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Equation at the end of step 1

 3 -  8 • (7 - 5n)

STEP

2

:

Final result :

 40n - 53

Answer:

Step-by-step explanation:

-59 - 2  + 29 - 8 = -61 + 29 - 8    

Here -59 & -2 have same sign, so add both

                          = -61 - 8 + 29

                         = - 69 + 29

-69 & 29 have different sign. so subtract and the answer will have the sign of the bigger number

                         = - 40

Answer:

Equation: 10+x= 15 +0.5x

Time: 10 days

Amount: 20$

Step-by-step explanation:

Equation for Benito:

Equation for Tavon:

Since the sums equalize at some time, we get:

After 10 days, Juan will owe both Benito and Tavon $20

Answer:

A) 23^(a+b)

Step-by-step explanation:

if you multiply a number with diferrent exponents, the exponents will always add.

The bases are the same, so we add the exponents

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

Here's an example of why we add the exponents

Lets say we want to multiply 7^2 with 7^3

7^2 = 7*7

7^3 = 7*7*7

We have two copies of "7" being multiplied with 7^2, then we have an additional three copies of "7" with 7^3. Overall there are 2+3 = 5 copies of "7" that we multiply out.

So,

7^2*7^3 = (7^2) * (7^3)

7^2*7^3 = (7*7) * (7*7*7)

7^2*7^3 = 7*7*7*7*7

7^2*7^3 = 7^5

This example is fairly small in that we don't have that many copies of the base being multiplied. For larger examples, its best to use the formula mentioned

a^b*a^c = a^(b+c)

Answer:

Ken's prediction for May is 8 degrees centigrade : [tex]8\,C^o[/tex]

Step-by-step explanation:

Locate the starting point at the value -3 on the number line, and count (add) 11 units to the right of that point, ending at the point 8 on the number line.

Answer:8c

Step-by-step explanation:

Answer:

22.5 cm²

Step-by-step explanation:

Area of Triangle Formula: 1/2bh

Step 1: Define variables

h = 9

b = 5

Step 2: Plug into formula

1/2(9)(5)

1/2(45)

45/2

22.5 cm²

Answer:

22.5 cm^2.

Step-by-step explanation:

Area = 1/2 * base * height

= 1/2 * 9 * 5

= 22.5 cm^2.

Answer:

about 49

Step-by-step explanation:

I basically estimated my way to the answer, you need to do a lot of calculations for this problem, but as long as you understand the concept, its fine by me to usr a calculator to get the percentage

Answer:49.0

Step-by-step explanation: First you subtract 26 from 51 and then divide that by the original number(51) and multiply that by 100

Answer: Elaine=13 years old Tyler=21 years old

Step-by-step explanation:

Let x = Elaine's age, so her brother Tyler's age = x+8

 Elaine+Tyler=34

          x+(x+8)=34

             2x+8=34

                 2x=26

                   x=13

Elaine=13 years old

Tyler=21 years old

Answer:

The interest accrued is $258.48.

Step-by-step explanation:

Given that:

Initial balance in the savings account = $359

Interest rate = 8%

Time for which no withdrawals or deposits were done = 9 years

To find:

Simple Interest accrued = ?

Solution:

First of all, let us have a look at the formula for simple interest.

[tex]SI = \dfrac{PRT}{100}[/tex]

Where P is the Principal Amount.

R is the annual rate of interest

T is the time in years.

Here, we are given:

P = $359

R = 8%

T = 9 years

Let us put all the values in the formula:

[tex]SI = \dfrac{359 \times 8 \times 9}{100}\\\Rightarrow SI = \dfrac{359 \times 72}{100}\\\Rightarrow SI = \dfrac{25848}{100}\\\Rightarrow \bold{SI = \$258.48}[/tex]

So, the interest accrued is $258.48.

Answer:

45

Step-by-step explanation:

Answer:

i believe x=10

Step-by-step explanation:

Answer:

x = 10

Step-by-step explanation:

The segment from the vertex to the base is a perpendicular bisector.

Thus the base is divided into 2 equal parts, that is

3x - 8 = 2x + 2 ( subtract 2x from both sides )

x - 8 = 2 ( add 8 to both sides )

x = 10

Answer:

[tex]32\frac{2}{3}[/tex]

Step-by-step explanation:

Hello!

To put 32 R2 as a mixed number we put 32 as the whole number and the remainder over the divider which gives us,

[tex]32\frac{2}{3}[/tex]

The answer is [tex]32\frac{2}{3}[/tex]

Hope this helps!

The expression 98 divided by 3 to a mixed number is 32 2/3

From the question, we have the following parameters that can be used in our computation:

Number = 98 divided by 3

Divide 98 by 3

so, we have the following representation

Quotient = 32

Next, we have

Remainder = 98 - 32 * 3

Evaluate the products

Remainder = 2

Hence, the fraction to a mixed number is 32 2/3

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Answer:

The answer is

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

From the question

Comparing it with the general equation above

Slope / m = 1/3

Since the lines are perpendicular to each other the slope of the other line is the negative inverse of the original line

That's

Slope of perpendicular line = - 3

Equation of the line using point (-4 , 1) and slope - 3 is

We have the final answer as

Hope this helps you

Answer:

x = 2

Step-by-step explanation:

-43 - 4x = 3(1 - 9x)

Distribute the 3:

-43 - 4x = 3 * 1 - 3 * 9x

-43 - 4x = 3 - 27x

Add 27x to both sides:

-43 - 4x + 27x = 3 - 27x + 27x

-43 + 23x = 3

Add 43 to both sides:

-43 + 43 + 23x = 3 + 43

23x = 46

Divide both sides by 23:

23x / 23 = 46 / 23

x = 2

Answer:

The answer is

- 43 - 4x = 3(1 - 9x)

Expand the terms

That's

- 43 - 4x = 3 - 27x

Group like terms

Send the constants to the right side of the equation and those with variables to the left side

That's

- 4x + 27x = 43 + 3

Simplify

23x = 46

Divide both sides by 23

[tex] \frac{23x}{23} = \frac{46}{23} [/tex]

We have the final answer as

Hope this helps you