Given f(x)=4x+5 and g(x)= x^2+x; find (f∘g)(-5)
Please show all steps thank you

Answers

Answer 1

Answer:

[tex](f\circ g)(-5)=85[/tex]

Step-by-step explanation:

We are given:

[tex]\displaystyle f(x)=4x+5\text{ and } g(x)=x^2+x[/tex]

And we want to find:

[tex](f\circ g)(-5)[/tex]

This is equivalent to:

[tex]\displaystyle =f(g(-5))[/tex]

So, we will evaluate g(-5) first, which yields:

[tex]\displaystyle g(-5)=(-5)^2+(-5)=25-5=20[/tex]

So:

[tex]=f(g(-5))=f(20)[/tex]

Then:

[tex]\displaystyle f(20)=4(20)+5=80+5=85[/tex]

Therefore:

[tex](f\circ g)(-5)=85[/tex]


Related Questions

Please answer! I give brainliest when I can! It make my day :-) ASAP :-(

Write a formula for the given measure. Let A represent the area in square feet, and h represent the height in feet. Identify which variable depends on which in the formula.

the area of a trapezoid with base lengths of 7 feet and 11 feet

A=

Answers

Answer:

A=1/2h(7+11) or A=1/2h(77)

The area is dependent on the height and the height changes based on the length of both of the bases

Step-by-step explanation:

what is 31 divide 8835
and 27 divide 4725
and plss show work thx :)

Answers

Answer:

8835 divided by 31 equals

285 with a remainder of 0

4725 divided by 27 equals

175 with a remainder of 0

175 with a reminder of 0

What is the quotient of 2.592\times 10^72.592×10 7 and 7.2 \times 10^47.2×10 4 expressed in scientific notation?

Answers

The quotient, expressed in scientific notation, is:

Quotient = 0.36 × 10³

Given:

(2.592 × 10⁷) / (7.2 × 10⁴)

To find the quotient of 2.592 × 10⁷ and 7.2 × 10⁴ and express it in scientific notation, we divide the coefficients and subtract the exponents.

Quotient = (2.592 × 10⁷) / (7.2 × 10⁴)

Dividing the coefficients, we get:

Quotient = 2.592 / 7.2 = 0.36

Subtracting the exponents, we get:

10⁷ - 10⁴ = 10⁽⁷⁻³⁾ = 10³

In scientific notation, the coefficient should be between 1 and 10, so we can rewrite the expression as:

Quotient = 0.36 × 10³

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pla help asap giving 15 points serious people only​

Answers

Answer:

3b+17

Step-by-step explanation:

First you distribute

=(3)(b) + (3)(4) + 5

=3b + 12 + 5

Then you combine the like terms:

=3b + 12 + 5

=(3b) + (12 + 5)

=3b + 17

Answer:

3b+17

Step-by-step explanation:

3(b+4)+5

3b+12+5

3b+17

Marilyn collects old dolls. She purchases a doll for $450. Research shows this doll's value will increase by 2.5% each year. Write an equation that determines the value, V, of the doll t after purchase.

Answers

Answer:

V = 450 + 0.025t

Step-by-step explanation:

What we know is that Marilyn purchases a doll for $450 dollars, and the value will increase by 2.5% each year. Now that we know this, this means we need an addition equation. We know 450 is being add to the 2.5% increase so the equation is V = 450 + 0.025t. (I put 2.5% as a decimal (0.025))

The equation that determines the value, V, of the doll (t) after purchase is [tex]V = 450 ({1.025}{} )^{t}[/tex]

What is equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

What is compound interest?

Compound interest is an interest accumulated on the principal and interest together over a given time period. The compound interest is calculated, after calculating the total amount over a period of time, based on the rate of interest, and the initial principal.

Formula of Compound Interest

 [tex]A = P (1+\frac{r}{100} )^{n}[/tex]

Where,

A = Final amount

P = Initial principal

r = Rate per annum

n = Time in years

According to the question

Marilyn purchases a doll for = $450

i.e, Initial Principal (P) = $450

Doll's value will increase each year by =  2.5%

i.e, Rate per annum = 2.5%

Value (V) of the doll after purchase = Final amount (A)

(t)  = Time in years (n)

Now, Formula of compound interest  

[tex]A = P (1+\frac{r}{100} )^{n}[/tex]

Substituting the values in formula

[tex]V = 450 (1+\frac{2.5}{100} )^{t}[/tex]

[tex]V = 450 (1+{0.025}{} )^{t}[/tex]

[tex]V = 450 ({1.025}{} )^{t}[/tex].

Hence, equation that determines the value, V, of the doll (t) after purchase is [tex]V = 450 ({1.025}{} )^{t}[/tex]

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What percent is represented by the shaded area?

Answers

Answer:

152%

Step-by-step explanation:

hope this helps!

please mark me as brainliest! thanks!

please help asap!!! i’ll give brainliest !!!!!!!

Answers

Answer:

points needed hope you under stand

Step-by-step explanation:

Stay safe though

john bought a new car for 20,000. if the car depreciates at a rate of 16% each year, what will be the value of the car after 3 years?

Answers

Answer:

13214

Step-by-step explanation:

Answer:11,854.08

Step-by-step explanation:

20000(1-0.16)^3

PLEASE HELP ME
Given the function f (x) = 3x — 2, what is the value of f (3)?

A.
7

B.
-2

C.
12

D.
25

Answers

Answer:

A. 7

Step-by-step explanation:

f(x) = 3(3) - 2

f(x) = 9 - 2

f(x) = 7

good luck, i hope this helps :)

Answer:

B = -2

Step-by-step explanation:

Tyree and four friends go to the movies. Each person buys a movie ticket for $9, a snack for $6, and a drink for $4. Determine the total cost for everyone. PLZ HELP

Answers

Answer:

$95

Step-by-step explanation:

(5x9) + (5x6) + (5x4)= 45 + 30 + 20 =95

When comparing the results of multiplying polynomials using the horizontal method and the vertical method, ____________. the vertical method will be correct only when the polynomials have no more than three terms.
the results will be the same.
the horizontal method will be correct when the polynomials have no more than three terms.
the results will never be the same.

Answers

Answer:

The result will always be the same

Step-by-step explanation:

The complete sentence is,

When comparing the results of multiplying polynomials using the horizontal method and the vertical method, ____________. the vertical method will be correct only when the polynomials have no more than three terms.

When comparing the results of multiplying polynomials using the horizontal method and the vertical method, the results will be the same. the vertical method will be correct only when the polynomials have no more than three terms.

What are polynomials?

A polynomial is a mathematical equation made up of coefficients and indeterminate that can only be solved using the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

A polynomial exists as an expression consisting of indeterminate and coefficients, that concern only the processes of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

Vertical addition exists as s procedure of adding where the numbers are lined up in columns according to their place values. Likewise, vertical subtraction exists as a method of subtracting where the numerals exist lined up in columns according to their place values.

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Mr. Trainer is building a bookcase. He has two wooden boards that are each 8 feet long. He needs to cut the wooden boards into pieces that are 16 inches long. What is the greatest number of 16-inch pieces that Mr. Trainer can cut from the two wooden boards? (1 foot = 12 inches)

Answers

Answer:

12

Step-by-step explanation:

Length of one of the boards = 8 feet

Converting to inches

[tex]1\ \text{foot}=12\ \text{inches}\\\Rightarrow 8\ \text{feet}=8\times 12=96\ \text{inches}[/tex]

One cut is 16 inches

So, we divide the length of the board by 16

[tex]\dfrac{96}{16}=6[/tex]

So, one board is cut into 6 pieces.

The other board is also 8 feet long.

So, the number of pieces the other board is cut into is also 6.

Hence, a total of [tex]6+6=12[/tex] pieces of each 16 inches long can be cut from the two boards.

Given the quadratic expression, find the value of C to complete the square. Then write the expression as a binomial squared.

x^2-18x+C​

Answers

Answer:

[tex](x - 9)^{2} [/tex]

Answer:

81

Step-by-step explanation:

Move −18x, so

x^2+c−18x

To find the c value

c =(b/2)^2

divide the coefficient of x by 2 and square the result.

Divide 18 by 2

(-1⋅9)^2

Multiply −1 by 9

(−9)^2

Raise −9 to the power of 2 and get your answer

=81

simple question struggling abit :)

Answers

a. x=7 b. y=12 c. f=11/2

I need helping factoring 5p^2-6p-8=0​

Answers

Answer:

p= -4/5 or p=2

Step-by-step explanation:

Factor left side of equation.

(5p+4)(p−2)=0

Set factors equal to 0.

5p+4=0 or p−2=0

Which equals :

p= -4/5 or p=2

Jake took out an interest-free loan of $3,814.44 from the bank to buy a car. He paid the bank $200.76 each month until it was paid back completely. Which of the following is true? HELP PLEASE
A.
Jake paid his loan back in 21 months.
B.
Jake paid his loan back in 18 months.
C.
Jake paid his loan back in 20 months.
D.
Jake paid his loan back in 19 months.

Answers

Answer:

C

Step-by-step explanation:

Can i have Brain List

find the slope of a line that passes through the points (-2,6) and (8,4)​

Answers

Answer:

tatagagffgfgsfgsdfhsfhsetywe6

Step-by-step explanation:

Answer:

-1/5

Step-by-step explanation:

The best answer gets brainiest please help!
Instructions: Convert the following problems into slope-intercept form aka y=mx+b

Question:
1. 5x−3y=−15
2. x+y=−7+2x
3. 3(x−4)−6=3y

Answers

Answer:

Step-by-step explanation:

1.y=5/3x+5

2.y=x-7

3.y=x-6

Answer

2

Step-by-step explanation:

x+y=-7+2x

Reorder the terms:

y = -7+ 2x

Solving

y = -7 + 2

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.Simplifying

y = 7 + 2x

Calvin went to the candy store. Chocolate candy costs 50 cents each and gum cost 25 cents each. Calvin bought 2/3 as much gum as candy and spent $4. How many candies did he buy? How much gum?

Answers

Answer:

candy:6

gum:4

The answer is that because I did systems from a word problem

If you spin the spinner 20 times, how many 5’s? please help

Answers

Answer:

4 times you divde 20 and 5 and its 4

Step-by-step explanation:

Answer:

Its 4 Fives

Step-by-step explanation:

If its wrong i'm sorry

which two are equivalent expressions?

Answers

Answer:

4t and t+t+t+t

Plz mark as brainliest


Determine if the sequence is arithmetic or geometric. Then, find the common difference or common ratio.
-30, -40, -50, -60, ..

Answers

Answer:

Arithmetic.

d = -10.

Step-by-step explanation:

There is a common difference of -10 so it is arithmetic.


Make u the subject of the formula.
5u + 13 = 7t – 2ut

Answers

u = 6t-13/3

-2u of both sides
3u + 13 = 7t - t
which is actually
3u + 13 = 6t
-13
3u = 6t - 13
divided by 3
u = 6t-13/3

Please help! I don't wanna fail!

Answers

Answer:

32.55

Step-by-step explanation:

HELP I NEED HELP ASAP

Answers

the answer is c 2400

Bowser ate 4.5 pounds of dog food. That amount is 0.75 of the entire bag of dog food. How many pounds of dog food were originally in the bag?​

Answers

Answer: 5.25

Step-by-step explanation:

add them

Answer:

6

4.5 is 75 percent of 6

What is the product 7(-6 1/8)?? Fast please <3

Answers

Convert -6 1/8 to an improper fraction: -49/8
7(-49/8) = -343/8 = -42.875 = -42 7/8

Answer:

-42 7/8

Step-by-step explanation:

got it right

My brain isn't working right now, please help.

Answers

Answer:

Down below, hope this helps!

Step-by-step explanation:

The author's message is that a person cannot predict the future without first learning about the past. The author does this by providing an example of how one wants to read without knowing the letters of the alphabet. Obviously, you can't read without first learning the letters of the alphabet. With the reading example, the author is explaining that just like a person trying to read without learning the alphabet first, a person predicting the future without knowing their history first is doing the exact same thing, it's nearly impossible.

I really need help with this, i dont understand

Answers

1/12. 1/6 x 1/2 = 1/12

FREE BRAINLIEST! if you can answer this correctly ill give you brainliest and answer some of the questions you have posted :) thank you very much!!! (22pts)

Answers

Answer:

It would be a trapezoid!

Step-by-step explanation:

Answer:

I'm sorry if this is wrong but I think...maybe a Rhombus or a Trapezoid?

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