Mathematics College

Question
If f(x) = x^2 + 7x and g(x) = 3x - 1, what is f(g(x))?
O 9x2 + x + 1
9x2 + 15x - 6
9x2 + 21x-6
9x2 - 27x
Help please

Answers

Answer 1

Answer:

9x^2 + 15x -6

Step-by-step explanation:

Your problem → If f(x) = x^2 + 7x and g(x) = 3x - 1, find f(g(x))?

f(x)=x2+7x,g(x)=3x-1,fog(x)=?

g(x)=3x-1,f(x)=x2+7x

fog(x)=f(g(x))

=f(3x-1)

 =(3x-1)2+7⋅(3x-1)

=(3x-1)2+21x-7

=(9x2-6x+1)+21x-7

=9x2+15x-6

fog(x)=9x2+15x-6

Related Questions

Write an equation of the line that has a slope of -5 and a y intercept of 4 in slope intercept form.

PLEASE HELP!!!

Answers

Y=-5x+4
Hope this helps:)
y = mx+b
m = slope
b = y-intercept

Ans: y = -5x + 4

Sally goes to the store and buys a camera for $65. The store is
running a discount of 10%. What is the price of the camera after the
discount?

Answers

$58.50 hope it helps

Answer:

58.50

Step-by-step explanation:

47 + 34 - 3k ТІЗk + Зk
solve for k show your work

Answers

Answer:

47+34= 3k + 3k + 3k + 3k

Step-by-step explanation:

6¾

HELP HELP HELP

The function t relates the age of a plant fossil in years to the percentage c of carbon remaining in the fossil relative to when it was alive.
t(c)=-3970.9(ln c)

Use function t to complete the statements.

A fossil with 47% of its carbon remaining is approximately how old
1. 2998
2 11,910
3 7550

A fossil that is 7000 years old will have approximately
1. .2%
2. 57%
3 17%

Of its carbon remaining.

Select the correct answers

Answers

Answer:

2998 ; 17%

Step-by-step explanation:

Given the function:

t(c)=-3970.9(ln c)

c = % of carbon remaining ; t = time

1.) c = 47% = 47/100 = 0.47

t(0.47) = - 3970.9(In 0.47)

t = - 3970.9 * −0.755022

t = 2998.119

t = 2998

B.)

t = 7000

t(c)=-3970.9(ln c)

7000 = - 3970.9(In c)

7000 / - 3970.9 = In c

−1.762824 = In c

c = exp(−1.762824)

c = 0.1715596

c = 0.1715596 * 100%

c = 17.156% ; c = 17%

Answer:  For plato family

The function t relates the age of a plant fossil, in years, to the percentage, c, of carbon-14 remaining in the fossil relative to when it was alive.

Use function t to complete the statements.

A fossil with 47%    of its carbon-14 remaining is approximately

years old.

A fossil that is 7,000 years old will have approximately

       17%     of its   carbon-14 remaining.

Step-by-step explanation:

 The  first  box is  2,998

  The  second  box is 17%

In need of help with math question

Answers

Answer:

well whats the question?

Step-by-step explanation:

Find the length of XY.

Answers

Answer:

XY = 50

Step-by-step explanation:

Triangle given in the picture,  

Point B, C and D are the midpoints of the sides of the triangle.

By applying midsegment theorem in the given triangle,

"Segment joining the midpoints of two sides of a triangle is parallel and half of the length of the third side"

CD = [tex]\frac{1}{2}(XY)[/tex]

25 = [tex]\frac{1}{2}(XY)[/tex]

XY = 50

Therefore, XY = 50 is the answer.

Find the local maximum and minimum values of f(x)=x^3-6x^2+5

Answers

Answer:

Local maxima at x=0

Local minima at x=4

Step-by-step explanation:

What is the slope of a line that is perpendicular to the graph ofy = 7x+1?

Answers

Using the slope-intercept form, the slope is −7 .

Answer: 4pi , second part is 5pi/2 + 4npi and third part is 7pi/2 + 4npi

Step-by-step explanation: Edge 2021

10.12 ÷ 4.4 =
A
0.23

B
2.3

C
5.72

D
57.2

Answers

Answer:

The answer is 2.3 B It is just by dividing

Answer:

B. 2.3

Step-by-step explanation:

Change the divisor 4.4 to a whole number by moving the decimal point 1 place to the right. Then move the decimal point in the dividend the same, 1 place to the right.

We then have the equations:

101.2 ÷ 44 = 2.3

and therefore:

10.12 ÷ 4.4 = 2.3

PLEASE ANSWER THIS, QUICK

Answers

Answer:

(x, y ) = ( - 3 , 14 )

Step-by-step explanation:

I hope this helps you. Best of luck.

Okay first you need to add both equations together

7x + 6y = 63
+ - 5x - 6y = -69
—————————
2x = -6

Then divide both sides

x = -3

Then plug -3 back into one of the equations to find y

7(-3) + 6y = 63
= -21 + 6y = 63
—-> 6y = 84

Divide both sides

y = 14

The answer is (-3, 14)

What is the equation of the line that has a slope of 14
and goes through the point (8,−3)?

y=1/4x−5

y=1/4x+5

y=1/4x−11

y=1/4x+1

Answers

Answer:

y=1/4x+1

please mark as brainliest

three-fourths of the sum of six times a number and twelve distribute

Answers

Answer:

Step-by-step explanation:

Let x be the number.

6 times the number = 6*x = 6x

Sum of 6 times of a number and twelve = 6x + 12

Three-fourths of the sum of 6 times of a number and twelve = [tex]\frac{3}{4}(6x +12)[/tex]

[tex]\frac{3}{4} ( 6x + 12) = \frac{3}{4}*6x + \frac{3}{4}*12\\\\[/tex]

                [tex]= \frac{3}{2}*3x + 3*3\\\\=\frac{9}{2}x + 9[/tex]

if there is one store and they are selling 10 pens for 8.99 and they are selling 25 pens for 19.75 witch one is better explian

Answers

25 pens is better because if you see the cost of one it will be cheaper

Compare the values.

9 × 10^2 is _____ times as much as 3 x 10^-2.

A) 6 x 10^4
B) 3 x 10^-4
C) 3 x 10^4
D) 6 x 10^0

please i need help **Will mark BRAINLIEST**​

Answers

the answer is C) 3 x 10^4

Will give Brainly
Find the measure of b.

Answers

Answer:

b= 90 degrees

Step-by-step explanation:

opposite sides

can someone help with 9-12 please ?

Answers

Answer:

9-12 is -3

Step-by-step explanation:

Which number is 1/10 the value of 600?

Answers

Answer:

60

Step-by-step explanation:

Simply multiply to find your answer:

Answer = 600 x 1/10

Simplify. Divide:

600 x 1/10 = 600/10 = 60

60 is your answer.

~

Answer:

[tex] \frac{1}{10} th \: of \: the \: value \: 600 \\ \frac{1}{10} \times 600 \\ 60 \: is \: the \: required \: number.[/tex]

Solve each of the following equations.
(4b + 11)(3b - 7) = 0​

Answers

Answer:

4b = 4(11/4)

3b = 3(7/3)

In the same circle or in congruent circles:
13
Chapter Reference
In the plane, if a line is perpendicular to a circle's radius at its outer endpoint, then the
line is ... to that circle
You have 1 attempt left to earn the full credit for this problem.
Answer: In the plane, if a line is perpendicular to a radius at its outer endpoint, then the line is Diames
to the circle
Diameter
GRADE ANSWER INCORRECT
Parallel
Secant
Symmetric matting?
Tangent

Answers

Tangent is the answer

Answer:

tangent

Step-by-step explanation:

Hope this helps

what is the equation

Answers

ExplanationPoint-Slope Form

[tex]y - y_1 = m(x - x_1)[/tex]

[tex]y_1 = y - coordinate \: \: point \\ x_1 = x - coordinate \: \: point[/tex]

From the given equation.

[tex]y + 8 = 4(x - 5)[/tex]

[tex]y - ( - 8) = 4(x - ( + 5))[/tex]

Answer

[tex] \large \boxed{( - 8,5)}[/tex]

A bird leaves its nest and travels 18 miles per hour downwind for x hours. On the return trip, the bird travels 3 miles per hour slower and has 5 miles left after x hours.

a. What is the distance of the entire trip? (In miles)

b. How long does the entire trip take? (In hours and minutes and seconds)

Answers

9514 1404 393

Answer:

60 miles3 hours 40 minutes 0 seconds

Step-by-step explanation:

The relation between speed, distance, and time is ...

  distance = speed × time

a) The distance the bird traveled downwind is ...

  (18 miles/hour)(x hours) = 18x miles

3 miles per hour slower than 18 miles per hour is 15 miles per hour. So the distance in miles the bird traveled after x hours on the return trip is ...

  15x = 18x -5

  5 = 3x . . . . . . add 5 -15x

  x = 5/3 . . . . . .divide by 3

Then the distance traveled downwind is ...

  18x = 18(5/3) = 30 . . . . miles

and the time for the return trip is ...

  (30 mi)/(15 mi/h) = 2 h . . . . . for the entire return trip

So, the entire round trip is 2×30 miles = 60 miles.

__

b) The time for the entire trip is ...

  5/3 h downwind + 2 h return = 3 2/3 h = 3 hours 40 minutes 0 seconds

pls i need help due tonight

Answers

Answer:

-3/4

Step-by-step explanation:

-1 1/4 = -5/4

1/2 = 2/4

-5 + 2 = -3

-3/4

Answer: The answer is -3/4

Step-by-step explanation: covert the mixed numbers to improper fractions, then find the LCD and combine.

k I need help again the last part says triangles​

Answers

Answer

C

One side is 3, another is 6, and the last side is 9

Hope this helps :)

Pls give me BRAINLIEST

Dan invests £1600 into his bank account. He receives 3.5% per year simple
interest. How much will Dan have after 2 years? Give your answer to the
nearest penny where appropriate.

Answers

Answer:

171200 pennies

Step-by-step explanation:

Amount after 2 years = Principal + Interest

Given

Principal = £1600

Rate = 3.5%

Time = 2years

Get the interest

Interest = PRT/100

Interest = 1600*3.5*2/100

Interest = 32 * 3.5

Interest = £112

Get the amount after 2 years;

Recall that:

Amount after 2 years = Principal + Interest

Amount after 2 years = 1600 + 112

Amount after 2 years  = £1712

Hence the amount Dan will have after 2 years is £1712

1712 pounds = (1712 * 100)penny

1712 pounds = 171200 pennies

out of 800 cards in a album each page of the album holds 8 cards if 66% of the album is empty how many pages are filled with cards

Answers

Answer:

ummm  you are going to do terrible on on your test jk

Step-by-step explanation:

order 9%, 0.03, 0.7% and 0.004 from least
to greatest

Answers

0.004, 0.03, 9% , 0.7%

All of the following would make a formal proof incomplete except what?
A) A lack of justifications
B) Incomplete sentences
C) Errors in logic
D) Incorrect reasons for statements
Urgent I need this for tonight please!!!

Answers

Answer:

b incorrect sentences

Step-by-step explanation:

got it right on my test

Will mark brainliest!! Please do the two in green using cos!!

Answers

Answer: 23.36 and 46.67

Step-by-step explanation:

Number 1:

[tex]cos(32) = \frac{x}{28}[/tex][tex]cos(32)(28) = x[/tex][tex]23.36 = x[/tex]

Number 2:

[tex]cos(57) = \frac{42}{x}[/tex][tex]cos(57)(x) = 42[/tex][tex]x= \frac{42}{cos(57)}[/tex][tex]x = 46.67[/tex]

1 A farmer needs to plow a 8-acre field. She starts by plowing – of the field. 6 How many acres does the farmer plow?​

Answers

Tbh im guessing 18 or 22

Find the area of the structure.

Answers

Answer:

8/9 in squared

Step-by-step explanation:

because one block is 1/9, and there are 8

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