For f (x) = 2x+1 and g(x) = x2 - 7, find (fºg)(2).

For F (x) = 2x+1 And G(x) = X2 - 7, Find (fg)(2).

Answers

Answer 1

Answer:

Step-by-step explanation:

Your first step will be to set up the problem:

f(x) - g(x)

Next you will substitute in your values:

(2x + 1) - (x2 - 7)

The easiest way to do the subtraction problems is to distribute your negative into your second set of parenthesis, so your expression would become:

2x + 1 - x2 + 7

Then combine your like terms:

2x - x2 + 8

Lastly put your expression in standard form (highest exponent to lowest)

-x2 + 2x + 8

Hope this helped!


Related Questions

can someone do this for me

Answers

Answer:

Step-by-step explanation:

Choose the linear Inequality that describes the graph. The gray area represents the shaded region.

Answers

Answer:

3

Step-by-step explanation:

the y axis

Mr Kinney biology class completed a lab to determine blood type. The results are reported in the frequency table. What is the relative frequency of a student having o type blood? 0.1 0.2 0.3 0.4

Answers

Answer:

o . ooo 2 and dr 45009.7 ok byy

A tree initially measures 40 1/2 feet tall. Over the next 7 1/2 years, it grew to a final height of 57 feet. During those 7 1/2 years, what was the average yearly growth rate of the height of the tree?

Answers

Answer:

OK I will dot this after getting 10 followers

Answer:

deez

Step-by-step explanation:

IN 2013 The number of students in a small school is 284. it is estimated that the student population will increase by 4% every year. write formula for student population and estimate student population in 2020

Answers

Answer:

Amount = Initial value × (1 + rate of interest)^years and 374

Step-by-step explanation:

The formula to determine the student population and the estimated student population is given below:

As we know that

Amount = Initial value × (1 + rate of interest)^years

= 284 × (1 + 0.04)^7

= 284 × 1.04^7

= 373.72

= 374

Bags of sugar come in 3 sizes:

Small bag: A 250 g bag costs 85p.
Medium bag: A 500 g bag costs £1.90.
Large bag: A 3 kg bag costs £3.90.

Calculate the cost of 3 kg for the small and medium bags.
Give your answer in pounds to 2 dp.
Write the bag that is the better value in the comments.

Answers

Answer:3kg of small bag costs £10.20 while 3kg of the medium bag costs £11.40. Hence, the bag with better value which is the cheapest is a 3kg of the big bag which costs £3.9

Step-by-step explanation:

Patrick will borrow $4300 at 11.5% APR. He will pay it back over 5 years.

What will his monthly payment be? (Use the table.)


$94.56


$96.79


$123.21


$141.81

Answers

Answer:

94.56

Step-by-step explanation:

because 94,56 x 11.5 x 5 =4300

Answer:

Step-by-step explanation:

Equal installments can be found by

I=P((r-1)/(r^n-1)+(r-1)) (note monthly rate is r/12, r is about 1.00958)

I=4300((1.00958-1)/(1.00958^60-1)+0.00958)

I=$94.56

Which expression is equivalent to 3y+4+y

Answers

the answer to this question is 4y+4

Simplify the following by collecting like terms
9x+x-4x

Answers

Answer:

[tex]9x + x - 4x = 6x[/tex]

they're all like terms so we just add and subtract

an expression to represent ( w increased by 5 )

Answers

Answer:

W + 5

Step-by-step explanation:

Given a number, W

An increase in W by a constant 5 ; can be expressed as ;

W plus the constant value increase

Hence,

Increase in W by 5 equals ;

W + 5

Mr Davis buy 5 packages of the packages A glue sticks Mr Wilson buy 8 packages of the package b glue sticks use ur equator find the difference in the total

Answers

Answer:

5a - 8b

Step-by-step explanation:

Mr Davis buys 5 package of a glue stick

= 5a

Mr. Wilson buys 8 packages of b glue sticks

= 8b

Therefore the difference in the total is

5a-8b

26 is 65% of what number?

Answers

Answer:

40

Step-by-step explanation:

26 is 65% of 40

40 if u think about it 20 is 50%

I need help to do this dont know how to do!

Answers

Answer:

Step-by-step explanation:

Even I need help with that

2x2 - 8xy - 2y2 for x = 6 and y = 5

Answers

Answer:

-236

Step-by-step explanation:

Step 1 (plug in x and y): [tex](2)(6)(2)-(8)(6)(5)-(2)(5)(2)=[/tex]

Step 2 simplify): [tex](24)-(240)-(20)[/tex]

Step 3 (evaluate): [tex]-236[/tex]

Bro pls help em bro pls help me bro

Answers

Answer:

Step-by-step explanation:

PLEASE HELP ME I WILL GIVE BRAINLIEST

Answers

Answer:65

Step-by-step explanation:

I NEED HELP PLZ WILL GIVE BRAINLYIST FOR CORRECT ANSWER (NO LINKS)

Answers

Answer:

Carter scored 21 points

Step-by-step explanation:

If Denise scored 3 fewer points, then you would add three to 18 to get the number of points that Carter scored.

18 + 3 = 21

Which parametric equations represent (x + 1)2 + (y – 3)2 = 16


PLEASE HELP WILL GIVE BRAINLIEST


x = 8cos(t) – 1 and y = 8sin(t) + 3
x = –cos(t) + 8 and y = 3sin(t) + 8
x = 4cos(t) – 1 and y = 4sin(t) + 3
x = –cos(t) + 4 and y = 3sin(t) + 4

Answers

Answer:

x = 4cos(t) – 1 and y = 4sin(t) + 3

Step-by-step explanation:

Equation of a circle:

The equation of a circle has the following format:

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

In which:

The centre is is [tex](x_0,y_0)[/tex] and r is the radius. The parametric equations are given by:

[tex]x(t) = r\cos{(t)} + x_0[/tex]

[tex]y(t) = r\sin{(t)} + y_0[/tex]

In this question:

[tex](x + 1)^2 + (y - 3)^2 = 4^2[/tex]

This means that the centre is [tex](-1,3)[/tex] and the radius is 4. So, the answer is:

x = 4cos(t) – 1 and y = 4sin(t) + 3

According to Maryland Motor Vehicle Administration [MVA] data, Gary Turgeon, a clerk at the Beltsville, Maryland, MVA location, assists six customers per hour, on average.
a. Determine the probability the amount of time Gary takes to assist the next customer is less than 12 minutes.
b. Determine the probability the amount of time Gary takes to assist the next customer exceeds 20 minutes.
c. Determine the probability the amount of time Gary takes to assist the next customer is between 8 and 15 minutes (in the interval 8 to 15 minutes)
d. Determine the probability the amount of time Gary takes to assist the next customer is either less than 14 minutes or greater than 22 minutes.

Answers

Step-by-step explanation:

6 customers per hour [tex]=1[tex] customer per 10 minutes

[tex]X \sim \operatorname{Exp}(\beta=10) \quad[/tex] (given mean)

Pdf is given by: [tex]f(x)=\frac{1}{\beta} e^{-x / \beta}, 0<x[/tex]

Pdf: [tex]f(x)=\frac{1}{10} e^{-x / 10}, \quad 0<x,[tex] and zero otherwise.

Cdf: [tex]P(X \leq x)=1-e^{-x / \beta}[/tex]

[tex]P(X \leq x)=1-e^{(-x / 10)} \quad[/tex] for [tex]x>0 \Longrightarrow P(X>x)=e^{-x / 10}[/tex]

a)[tex] \begin{array}{c}

P(X<12)=1-\exp (-12 / \beta)=1-e^{-1.2}=1-0.301194=0.698806 \approx 0.699 \\

P(X<12)=0.699 \end{array}[/tex]

[tex]\begin{aligned}

&\begin{array}{c}

P(X>20)=\exp (-20 / \beta)=e^{-2} \approx 0.135335 \approx 0.1353 \\

P(X>20)=0.1353

\end{array}\\[/tex]

&\text { c) }\\

&P(8<X<15)\\

&\begin{array}{l}

=P(X<15)-P(X<8) \\

=(1-\exp (-15 / \beta))-(1-\exp (-8 / \beta)) \\

=\exp (-8 / \beta)-\exp (-15 / \beta) \\

=e^{-0.8}-e^{-1.5} \\

=0.449329-0.22313 \approx 0.226199 \approx 0.2262 \\

\quad P(8<X<15)=0.2262

\end{array}

\end{aligned}

\begin{aligned}

&\text { d) }\\

&\begin{array}{l}

P(14<X<22) \\

=P(X<22)-P(X<14) \\

=(1-\exp (-22 / \beta))-(1-\exp (-14 / \beta)) \\

=\exp (-14 / \beta)-\exp (-22 / \beta) \\

=e^{-1.4}-e^{-2.2} \\

=0.246597-0.110803 \approx 0.135794 \approx 0.1358 \\

P(X<14 \cup X>22)=1-P(14<X<22)=1-0.1358=0.8642 \\

P(X<14 \cup X>22)=0.8642

\end{array}

\end{aligned}

I DONT WANT HOW TO DO IT JUST THE ANSWER

Answers

Answer:

87.5

Edited: Yea should be 56, misread it LOL.

Appoligise to that silly mistake

Step-by-step explanation:

56 trust me homie yuh

what is the area of this shape?

Answers

Answer:

D) 36 cm^2

Step-by-step explanation:

(9 x 3) + (2 x 4.5)(2)(0.5) = 36 cm^2

What is the height of cylinder pictured below?

144
12
8
54

Answers

Answer:

B. 12 in.

Step-by-step explanation:

Diameter = 5 in.

Diagonal = 13 in.

Apply Pythagorean theorem to find the height of the cylinder.

Thus:

13² - 5² = height²

144 = height²

√144 = height

12 in. = height

Answer:

B. 12 in.

Step-by-step explanation:


The slope of a line is 1/3.
What is the slope of a line perpendicular to this line?

Answers

Answer:

-3

Step-by-step explanation:

Slopes of a perpendicular line are the opposite reciprocal.

So, the opposite of 1/3 is -1/3.

Then the reciprocal of -1/3 is -3 (since -3 is -3/1).

Answer: 3

Explanation:
See image

15) Volume of a cuboid with base area 500 m2 and height 4m is. with steps​

Answers

Answer:

Volume of cuboid = 2000 m³

Step-by-step explanation:

Given the following data;

Base area = 500 m²

Height = 4m

To find the volume of a cuboid;

The volume of a cuboid is given by the formula;

Volume of cuboid = length * breadth * height

But remember, base area = length * breadth

Therefore, the volume of the cuboid becomes;

Volume of cuboid = base area * height

Substituting into the equation, we have;

Volume of cuboid = 500 * 4

Volume of cuboid = 2000 m³

what is the equation of a circle with a radius of 7 and centered at point (3,-4)​

Answers

Answer:

(x - 3)² + (y + 4)² = 49

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + *y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k) = (3, - 4) and r = 7 , then

(x - 3)² + (y - (- 4) )² = 7² , that is

(x - 3)² + (y + 4)² = 49 ← equation of circle

Which function is graphed below?

Answers

Answer:

B: y= 3(1/3)^x

Step-by-step explanation:

I graphed it on Desmos

What are the coordinates of B’ if Triangle ABC is reflected over the x-axis?

Answers

Answer:

the coordinates of b if it is reflected over the x-axis (-2,5)

by what percent would a number change if it increased by 5% and the result was also increased by 5%

Answers

Answer:

10.25%

Step-by-step explanation:

imagine the number is 100. Increase that by 5% so multiply 100 by 105%. This equals 105. Then increase 105 by 5% so multiply 105 by 105%. This equals 110.25. The original number was 100 so 110.25-100= 10.25. 10.25/100= 10.25%

Hope this is correct :) I'm rly not sure now

Answer:

10%

Step-by-step explanation:

Pleaseeee helpppp it’s due in 6 minutes helpp!! Explain

Answers

Answer:

I might be wrong but since ur in a rush: 173

Step-by-step explanation:

Answer:

287.25 miles in 5.75 hours

Step-by-step explanation:

so he was first driving at 48mph because 168/3.5=48

5 miles per hour faster than that is 53mph

53*2.25=119.25

then we add 119.25 and 168

4) Round 694,553 to the nearest hundred thousand. O 600,000 O 694,600 O 695,000 O 700,000​

Answers

Answer:

700,000

Step-by-step explanation:

Other Questions
Pls help, thank you :) You put $500 in a savings account. The account earns $20 simple interest in 6 months. What is the annual interest rate? Write your answer as a percent 10Sara was thinking of a number. Sara adds 19 to it, then doubles it and gets an answer of 39.2. What was the original number? Which of the following is the product of (3x 5) and (3x + 5)? Which expression is equivalent to 46 - 2x)?A) 24-8xB) 24-6xC) 10-8xD) 10-6x The height of a right cone is 3 inches shorter than the radius. What is the height of the cone if the volume is 17 cubic inches?a. 3.454 inchesb. 4.01 inchesc. 7.01 inchesd. 1.01 inches HELPPP The question is in the picture If a = 12 in and b = 25 in, what is the area of the pencil? A. 372 in2 B. 169 in2 C. 322 in2 D. 444 in2 Can someone please help me? Read the sentence below and answer the question that follows. The students asked that they be allowed to celebrate Festival of Sleep Day with a nap after lunch. What is the form of the underlined verb? indicative imperative subjunctive passive Your thumb contains the only saddle joint in the entire body. How would your hand function differently if your thumb contained a pivot joint? What if it contained a ball and socket joint? Describe four consequences of having a different type of joint in the thumb.Your thumb contains the only saddle joint in the entire body. How would your hand function differently if your thumb contained a pivot joint? What if it contained a ball and socket joint? Describe four consequences of having a different type of joint in the thumb.Your thumb contains the only saddle joint in the entire body. How would your hand function differently if your thumb contained a pivot joint? What if it contained a ball and socket joint? Describe four consequences of having a different type of joint in the thumb.Your thumb contains the only saddle joint in the entire body. How would your hand function differently if your thumb contained a pivot joint? What if it contained a ball and socket joint? Describe four consequences of having a different type of joint in the thumb.Your thumb contains the only saddle joint in the entire body. How would your hand function differently if your thumb contained a pivot joint? What if it contained a ball and socket joint? Describe four consequences of having a different type of joint in the thumb.Your thumb contains the only saddle joint in the entire body. How would your hand function differently if your thumb contained a pivot joint? What if it contained a ball and socket joint? Describe four consequences of having a different type of joint in the thumb.Your thumb contains the only saddle joint in the entire body. How would your hand function differently if your thumb contained a pivot joint? What if it contained a ball and socket joint? Describe four consequences of having a different type of joint in the thumb. Dales young son does not know much about his dads job but he does know that his dad works at the Chevy Manufacturing Plant. Dale explains to his son that he works in Quality Control. How might Dale simply describe the place that he works in and some of the tasks he performs to his son? How might Dale explain the jobs of other people in his plant? Which type of economic system does the United States have? A. Market B. Command C. Mixed D. Traditional geometry I need help Explain how you know that 88 is a solution to the equation 18x=11 by completing the sentences: The word "solution" means . . . 88 is a solution to 18x=11 because . . . can i have one sentence on how you would describe your favorite icecream what is the slope of the line if the equation is 5x-3y=9 In contrast to the deadly potential of avian influenza, the Asian flu and HongKong fluA killed relatively few people and were short-lived.B.mutated into forms that killed some birds.Cwere fairly easy to treat with medications,Dstayed in the countries where they started. Find g1(x) when g(x)=3/5x9.A) 5/3x+1/5B)5/3x1/9C)5/3x+9D)3/5x+9 PLZ PLZ PLZ PLZ PLZ PLZ HELP I NEED HELP PLZZZZZZZZZ NO ONE HAS HELPED ME FOR AN HOUR 25 POINTSThe expression 2(4+v)+9v is simplified in several steps below.For each step, choose the reason that best justifies it.8+2v+9vcommutative property of additionassociative property of additiondistributive property of additioncombining like terms8+11vcommutative property of additionassociative property of additiondistributive property of additioncombining like terms11v+8commutative property of additionassociative property of additiondistributive property of additioncombining like terms