Consider function f and g
f(x)=x^2+7x
g(x)=3x-1

what is the value of (f•g)(x)

Consider Function F And G F(x)=x^2+7xg(x)=3x-1what Is The Value Of (fg)(x)

Answers

Answer 1

9514 1404 393

Answer:

  B.  9x² +15x -6

Step-by-step explanation:

The composition operator means that function f is applied to function g:

  [tex](f\circ g)(x)=f(g(x))=f(3x-1)\\\\=(3x-1)^2+7(3x-1)\\\\=9x^2-6x+1+21x-7\\\\\boxed{(f\circ g)(x)=9x^2+15x-6}\qquad\textbf{matches B}[/tex]


Related Questions

CAN SOMEONE PLEASE HELP ME ON NUMBER 3

Answers

Answer:

36

Step-by-step explanation:

Give the domain and range of the relation. Indicate whether the relation is a function or not.
D: {0, 1, 2, 3}
R: {−3, −2, 2, 5}
The relation is a function.
D: {−3, −2, 2, 5}
R: {0, 1, 2, 3}
The relation is a function.
D: {0, 1, 2, 3}
R: {−3, −2, 2, 5}
The relation is not a function.
D: {−3, −2, 2, 5}
R: {0, 1, 2, 3}
The relation is not a function.

Answers

D: {0, 1, 2, 3}

R: {−3, −2, 2, 5}

The relation is a function.

That's the answer.

Giving brainliest to the correct answer 20 points!!!

Answers

Answer:

x, (40,0)

y, (0,15)

hope it helps

Answer:

78

Step-by-step explanation:

hvtyvyuhj7

Order these lengths in order from least to greatest.

0.65 m
0.6 m
0.52 m
0.55 m
0.545 m

Answers

Answer:0.52, 0.545, 0.55, 0.6, 0.65

Source:trust me bro

Answer:

O.52 m, 0.545 m, 0.55 m, 0.6 m, 0.65m. :)

Step-by-step explanation:


The original price of a marker is $5.00 What will the new price be after a
15% increase ? *

Answers

Answer:

5.75

Step-by-step explanation:

for a 15% increase, you multiply 5.00 x 1.15. you then get 5.75. hope this helps!

Answer:$5.75

Step-by-step explanation:

I=$24, P=$400, T=2years

Answers

Answer:

rate = 24*100/(400*2) = 3%

Step-by-step explanation:

Solve the following equation for c.
ab + cd = e

(Sorry, this is all the info they gave me.)

Answers

Answer:

Step-by-step explanation:

ab + cd = e

       cd = e - ab

         d =(e - ab)/d

Chang wants to know if he is improving

Answers

Answer:

Yes he is

Step-by-step explanation:

Answer:

Yes! he is

Step-by-step explanation:

:)

The graph of is shown on the grid.







Which ordered pair is in the solution set of ?

Answers

Answer:

where's the graph rn ?

Step-by-step explanation:

is this question complete?

Be a bit more specific

What is the value of x?

Answers

Answer:

5

Step-by-step explanation:

Use the Pythagorean Theorem

a²+b²=c² plug in the info you have

a²+12²=13² (c is always the side opposite from the right angle)

Solve for a

a²+144=169

   -144  -144

a²=25   take the square root of both sides

√a²=√25

a=5

How many 8-song play lists contain no songs by One Direction? Suppose Janine decides to let her iPod select an 8-song play list at random.

Answers

Answer:

Step-by-step explanation:

WILL MARK BRAINLIST!!!!
A string of lights is 69 1/3 feet long. The lightbulbs are spaced 8 inches apart. The diagram shows the beginning of the string and the end of the string. What is the total number of lightbulbs on the string of lights?

Answers

I think it is 8 because 8 * 8 is 64 and 8 * 9 is 72 so it couldn’t be more than 8

Answer: 104

Step-by-step explanation:

I multiplied 69 1/3 by 12 to get how many inches it would. Then I divided that answer by 8 and got 103.999999999999. If you round it then you would get 104.

anyone question 8 pleaseeeeeeeeeee

Answers

Answer:

$200 and $450

Step-by-step explanation:

We can start by assigning variables to our unknowns.

Our unknowns are the price for a DVD player and the price for a television.

x= price of a television

y= price of a DVD player

Next, let's translate the given information into a system of equations.

two televisions and three DVD players for $1750

2x+3y=1750

four televisions and one DVD player for $1250

4x+y=1250

Since the instructions did not specify, I will use substitution to solve, however you can also use elimination.

First, from the second equation, we subtract 4x from both sides.

4x+y-4x=1250-4x

y=1250-4x

Now we plug 1250-4x for y in the first equation.

2x+3y=1750

2x+3(1250-4x)=1750

Distribute.

2x+3*1250-3*4x=1750

Simplify.

2x+3750-12x=1750

Combine like terms.

-10x+3750=1750

Subtract 3750 from both sides

-10x+3750-3750=1750-3750

-10x=-2000

Divide both sides by -10

x=200

A television costs $200.

Now using that, we can plug that into one of the original equations. I'll use the second one.

4x+y=1250

4(200)+y=1250

800+y=1250

Subtract 800 from both sides.

y=450

A DVD player costs $450

You can plug those values back into the other equation (the first one) to double-check if you'd like as well.

Solve (x + 3)(x - x = 0. (2 points) x = 3, x = -8 O x = -3, x = 8 x = 3, x = 8 O x = -3, X = -8​

Answers

answer:

the answer is -3 and 8

Step-by-step explanation:

we will place -3 in the equation

(x+3)(x-x)=0

(-3+3)=0 (because -3+3 will cut down together)

we will place two 8(eights) in the equation

(8-8)=0

final answer is

(0)(0)=0

so -3 and 8 fits well in the equation

Memorial Stadium has worked with the same advertising company for 10 years. According to the company's data the stadium has spent approximately $2.5 million on advertising over that period for 100 events. If the patrons to all of these events numbered 18.5 million, what is the ratio of patrons to advertising dollars?

Answers

Answer:

7.4:1

Step-by-step explanation:

The rate of patrons to advertising dollar is7.4 patrons per dollar.

What is rate?

A rate is a comparison between two quantities that's calculated by dividing one quantum by the other. The quotient a/ b is appertained to as the rate between a and b if a and b are two values of the same kind and with the same units, similar that b isn't equal to 0. rates are represented by the colon symbol(). As a result, the rate a/ b has no units and is represented by the memorandum ab.

Given:

The colosseum has spent roughly $2.5 million on advertising over that period for 100 events.

So, the rate of patrons to advertising

= 18.5 million patrons to $2.5 million

= 18.5/2.5

= 7.4 patrons per dollar

Learn more about Ratio here:

https://brainly.com/question/13419413

#SPJ6

(Timed) Solve the system of equations work shown

Answers

Answer:There are 2 ways to solve this system: by substitution or by graphing. I will solve this system using both.

Substitution Method

For x:

[tex]y = \frac{5}{4}x - 2\\y = -\frac{1}{4}x + 19\\\\\frac{5}{4}x - 2 = -\frac{1}{4}x + 19\\\\\frac{3}{2}x - 2 = 19\\\\\frac{3}{2}x = 21\\\\x = 14[/tex]

For y:

[tex]y = \frac{5}{4}(14) - 2\\\\y = 17.5 - 2\\\\y = 15.5[/tex]

Solution:

[tex](14, 15.5)[/tex]

Graphing Method

According to this graph, the solution will be [tex](14, 15.5)[/tex].

A scuba diver starts at 85 3/4 meters below the surface of the water and descends until he reaches 103 1/5

meters below sea level. ​How many meters did he descend?
MUST SHOW WORK
you get EXTRA points if you show your WORK!
good luck please solve this :)

Answers

Answer:

From his starting point of 85 3/4, he descended 17 9/20 meters

Step-by-step explanation:

We want to know how much farther he went down from his starting point.

103 1/5 - 85 3/4

S

tart off by making the denominators of both the numbers the same.

103 1/5 - 85 3/4

103 4/20 - 85 15/20

Make them into improper fractions

2064/20 - 1715/20 = 349/20

Make 349/20 into a mixed fraction

17 9/20

4. -64
Multiplicative inverse

Answers

Answer:

the answer I got is -23, please let me know if I am wrong.

120% of __________ is 78

Answers

120% of 65 is 78.

This means that 120 times what equals 78.

120*65=78

Answer:

65

Step-by-step explanation:

4/5 + 3/5 add following numbers and simplify

Answers

Answer:

1 2/5 is your answer in decimal form it is 1.4

4+3/5

7/5~Simplify this fraction~

1 2/5~Is your answer after you simplify~

Answer:

7/5, or 1 2/5 if you're looking for a mixed fraction.

Step-by-step explanation:

Since the denominators are the same, just add the numerators and keep the denominator the same. 7/5

Please help me find the x and y value of these

Answers

Answer:

27 and 28

Step-by-step explanation:

What is 2+2? xd noob

Answers

Answer:

4

Step-by-step explanation:

You can count on your fingers if you need to or use a calculator.

Answer:

2+2 is 4

Step-by-step explanation:

3. The number of years that Brad has been on the soccer team is 2 less than 5 times the number
of years that Scott has. In total, the boys have been on the soccer team for 10 years. How long
has Brad been on the soccer team?

Answers

Answer:

Answer: Brad has been in the team for 8 years. Trust i got it right on the test

Step-by-step explanation:

58 x 64 is the same as:
(64 x 50) + (64 x )
What number goes in the space?

help please​

Answers

58 x 64 = 3,712
64 x 50 = 3,200
3,712-3,200= 512
64 x ? = 512
?=8
3,200+512= 3,712

Please help! Thanks!​

Answers

Answer:

G.) 6

Step-by-step explanation:

The way the question is worded leads me to believe you're looking for the range. In this case, it is 6, because 12 (the greatest valued data point) minus 6 (the least valued data point) is 6.

A fastball is hit straight up over home plate. The ball's height, h (in feet), from the ground is modeled by ℎ = −16푡 ଶ+103푡+5 where t is time (in seconds).

Answers

Question:

A fastball is hit straight up over home plate. The ball's height, h (in feet), from the ground is modeled by h(t)=-16t^2+80t+5, where t is measured in seconds.  Write an equation to determine how long it will take for the ball to reach the ground.

Answer:

[tex]t = 5.0625[/tex]

Step-by-step explanation:

Given

[tex]h(t)=-16t^2+80t+5[/tex]

Required

Find t when the ball hits the ground

This implies that h(t) = 0

So, we have:

[tex]0=-16t^2+80t+5[/tex]

Reorder

[tex]-16t^2+80t+5 = 0[/tex]

Using quadratic formula, we have:

[tex]t = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}[/tex]

Where

[tex]a = -16[/tex]      [tex]b =80[/tex]      [tex]c = 5[/tex]

So, we have:

[tex]t = \frac{-80\±\sqrt{80^2 - 4*-16*5}}{2*-16}[/tex]

[tex]t = \frac{-80\±\sqrt{6400 +320}}{-32}[/tex]

[tex]t = \frac{-80\±\sqrt{6720}}{-32}[/tex]

[tex]t = \frac{-80\±82.0}{-32}[/tex]

This gives:

[tex]t = \frac{-80+82.0}{-32}[/tex] or [tex]t = \frac{-80-82.0}{-32}[/tex]

[tex]t = \frac{2}{-32}[/tex] or [tex]t = \frac{-162}{-32}[/tex]

[tex]t = -\frac{2}{32}[/tex] or [tex]t = \frac{162}{32}[/tex]

But time can not be negative.

So, we have:

[tex]t = \frac{162}{32}[/tex]

[tex]t = 5.0625[/tex]

Hence, time to hit the ground is 5.0625 seconds

6x+4y=42 -3x+3y=-6 by elimination

Answers

Answer:

x=5, y=2

Step-by-step explanation:

To solve this system, we need to find x and y. First, let's find x. In the first equation (6x+4y=42), subtract 4y on both sides to isolate 6x. This will result in 6x=42-4y. Divide by 6 on both sides to isolate x and get x=7-[tex]\frac{2}{3}[/tex]y. Now we know what x equals. Go to the second equation ad plug this into it. So instead of -3x+3y=-6, you'll have -3(7-[tex]\frac{2}{3}[/tex]y)+3y=-6. Use the distributive property to get -21+2y+3y=-6. Add 2y and 3y to get -21+5y=-6. Add 21 to both sides to isolate 5y and get 5y=15. Divide by 5 on both sides to isolate y and get y=3. Now that we know that y=3, we can plug this back into the equation that was bolded above so that we can find x, so we'll have x=7-[tex]\frac{2}{3}[/tex](3) since y=3, and we'll get x=7-[tex]\frac{6}{3}[/tex], or x=7-2, or x=5.

x=5

y=2

Answer: (5, 3)

Step-by-step explanation:

Solve by Addition/Elimination

6x + 4y = 42 −3x + 3y = −6

Multiply each equation by the value that makes the coefficients of x opposite.

      6x + 4y = 42

      (2) ⋅ (−3x + 3y) = (2) (−6)

Simplify (2) ⋅ (−3x + 3y).

      6x + 4y = 42

      −6x + 6y = (2) (−6)

Multiply 2 by −6. 6x + 4y = 42

      −6x + 6y = −12

Add the two equations together to e liminate x from the system.

      6x + 4y = 42

    ±6x + 6y = −12

             1 0y= 30

Divide each term in 10y = 30 by 10.

      10y  =     30

      10          10

Cancel the common factor of 10.

     y = 30/10

  Divide 30 by 10.

      y = 3

Substitute the value found for y into one of the original equations, then solve for x.

Substitute the value found for y into one of the original equations to solve for x. 6x + 4 (3) = 42

 Multiply 4 by 3.

      6x + 12 = 42

Move all terms not containing x to the right side of the equation.

      6x = 30

Divide each term by 6 and simplify.

      x = 5

The solution to the independent system of equations can be represented as a point.

(5, 3)

The result can be shown in multiple forms.

Point Form:

(5, 3)

Equation Form:

x = 5, y = 3

Which expression is equivalent to -44
PLease asap 12 points please dont just take them

Answers

Answer:

|44|

Those are not Ones, those are the straight lines you can type using the Shift key and the key underneath the Backspace :)

Step-by-step explanation:

-44 is 44 places away from zero, and |44| is also 44 places away from zero. For those who are wondering, this symbol: | if is placed around a certain number, the positive or negative effect on that number is taken away, and the number is just thought as of that many spaces away from zero. EX: -9 => |9| is now not negative

Answer:

One equation is -22+-22

Tim has a large collection of books. The number of paperback books he has is 3 times less then 4 times the amount of hardcover books. How many hardcover books does Tim have?

Answers

Complete Question:

Tim has a large collection of books. The number of paperback books he owns is three less than four times the number of hard cover books, in total Tim had 447 books, How many hard cover books does Tim own ?

Answer:

Tim has 90 hard cover books

Step-by-step explanation:

Represent the paper books as P and the hard covers as H

The total number of books can be represented as:

[tex]P + H = 447[/tex]

From the first statement, we have:

P = 3 less than 4 times H

This means:

[tex]P = 4H - 3[/tex]

Required

Solve for H

Substitute 4H - 3 for P in [tex]P + H = 447[/tex]

[tex]4H - 3 + H = 447[/tex]

Collect Like Terms

[tex]4H + H = 447 + 3[/tex]

[tex]5H = 450[/tex]

Solve for H

[tex]H = \frac{450}{5}[/tex]

[tex]H = 90[/tex]

Hence:

Tim has 90 hard cover books

PLEASE PLEASE PLEASE HELP ME!!!!!! Determine whether the points (–2,3) and (0,–1) are in the solution set of the system of inequalities below. y > –x – 2 y < –5x + 2.

options

A)

Both points are in the solution set.

B)

Neither of the points is in the solution set.

C)

The point (–2,3) is not in the solution set, and the point (0,–1) is in the solution set.

D)

The point (–2,3) is in the solution set, and the point (0,–1) is not in the solution set.

Answers

The answer is D 0,-1 is not a solution to the second inequality

Answer: the answer is A.

Step-by-step explanation:

I took the test

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