Suppose that the functions f and g are defined for all real numbers x as follows.
f(x)=x+3
g(x) = 4x+4

Suppose That The Functions F And G Are Defined For All Real Numbers X As Follows.f(x)=x+3g(x) = 4x+4

Answers

Answer 1

Step-by-step explanation:

when you do an arithmetic operation to functions, you do it for the defining expressions.

so,

(f+g)(x) = (x + 3) + (4x + 4) = x + 3 + 4x + 4 = 5x + 7

(f*g)(x) = (x+3)*(4x+4) = 4x² + 12x + 4x + 12 = 4x² + 16x + 12

= 4(x² + 4x + 3)

(f-g)(4) = (4+3) - (4×4+4) = 7 - (16+4) = 7 - 20 = -13


Related Questions

Write 49 as a product of primes

Answers

Answer:

7×7 = 49

Step-by-step explanation:

7 is a prime number. 7×7= 49 (product of primes)

7 x 7, 1 x 49 that is the best answer

Help snsnsnansnsnsnsns

Answers

Answer:

answer is 420-69

Step-by-step explanation:

because those numbers are great

Use the solution for the system to find x - y

3x - 2y = 10

2x + 3y = -2

Answers

Answer:

solution is (3,-1/2)

Step-by-step explanation:

Lila would like to take a ceramics class the class cost $120 she have saved $80 so far

Answers

Not sure what the question is, but she needs $40 more to afford the class.

Question 1 of 25

Which of these numbers is in the solution set of x- 12 = 3?

O A. 15

O B. -9

O C. 9

OD. 4​

Answers

it’s A.15

x-12=3 x=15

Two sides of a triangle are 6 cm and 8 cm long. What can be the length of its third side.(Write all the possible lengths)
explain.............................................................

Answers

Answer:

Let the. length of 3rd side of a ∆ be x.

x>(8–6) cms. and. x <(8+6) cms.

or. x > 2 cms. and. x < 14 cms

or. 2 cms < x < 14 cm

Step-by-step explanation:

find the answer here

help me please. i have been doing this for a long time

Answers

Answer:

I am deeply sorry.

Step-by-step explanation:

I am really sorry about how long it takes you to do "this". My best advice is to take a break and think it out slowly.

PLS HELP ME 86 points

Answers

Answer:is easy

Step-by-step explanation:

your answers are:

A. 76

B. 35

C. 48

D. 62

E. 77

F. 78

G. 87

H. 67

I. 32

J. 63

K. 72

L. 78

Write an ordered pair for the point in
Quadrant IV that is 4 units away from
point S(-1.5, -2.5) on the coordinate
plane.

Answers

If a point in Quadrant IV is 4 units away from this point, the resulting point will be (-1.5+4, -2.5-4) which is (2.5, -6.5)

If we have a coordinate point (x, y) in quadrant 4, if the coordinate is 4 units away, the resulting coordinate will be expressed as (x+4, y - 4)

Given the point S(-1.5, -2.5) on the coordinate  the plane, if a point in  Quadrant IV is 4 units away from this point, the resulting point will be (-1.5+4, -2.5-4) which is (2.5, -6.5)

Learn more here: https://brainly.com/question/2565050

PLS HELP WILL MARK BRANLIEST ! NO FAKE ANSWERS!!!

Answers

Answer:

You can solve this with long division:

Answer:

Area = 2x²+3x+4

Step-by-step explanation:

Volume :

V= abh

Area:

S=ab or V:h

In our  case :

[tex]abh=(2x^3+7x^2+10x+8 ) \\\\ h=x+2[/tex]

Let's use Synthetic division:

[tex]\large \boldsymbol{}x+2=0 \to x=-2 \\\\ \underline{\begin{array}{c|c|c|c|c|} \bf \stackrel{x+2}{-2} \ & \stackrel{x^3}{2} \ & \stackrel{x^2}{7} \ & \stackrel{x}{10} \ & { \stackrel{1}{8} \ }\end{array}}[/tex]

[tex]\large \boldsymbol{} \underline{\begin{array}{c|c|c|c|c|c|} \ & \ \ \ & \ \ \ & -4 & -6 & -8\end{array}}[/tex]

[tex]\large \boldsymbol{} \underline{\begin{array}{c|c|c|c|c|c|} \ & \ \ \ & \ \ \ & \ \ \bf3 \ & \ \ \bf4 \ & \bf 0 \ \end{array}}[/tex]

Then :

[tex]\large \boldsymbol{}(2x^3+7x^2+10x+8) :(x+2)= \\\\(2x^2+3x+4)(x+2):(x+2)=\boxed{2x^2+3x+4}[/tex]

Area = V:h  ⇒ 2x²+3x+4

SOMEONE PLEASE HELP IM FAILING HS

2-20. Evaluate each expression for x=-2 and y=-5.

a. 1-2x + 3y
b. -|x-y|
c. √x^2 + ^3√x^3
d. 1/2x+1/3y​

Answers

Answer:

a. 1-2(-2) + 3(-5) = 1-4 -15 = -18

b. -|-2--5| = |3| = -3

d. 1/2x+1/3y = 1/2 (-2) + 1/3(-5) = -1 - 5/3 = -8/3

Hope it works

In a scale model of a boat 1 inch represents 8 feet

Answers

Answer:That is amazing.

Step-by-step explanation:

tha t is just wonderful news, now what was the question?

In 1993, the moose population in a park was measured to be 4650. By 1998, the population was measured
again to be 4100. If the population continues to change linearly:
A.) Find a formula for the moose population, P, in terms of t, the years since 1990.
P(t) =
B.) What does your model predict the moose population to be in 2006?

Answers

Answer:

Here plz give brainliest not easy to explain in detail like this

Step-by-step explanation:

We will consider x on the graph to be years since 1990 and y on the graph to be the number of Moose.

We have two points on the graph:  (4, 4290) and (8, 3850)

Using the slope formula (m = [y2 - y1]/[x2 - x1]), we can find the slope of this line:

m = (y2 - y1)/(x2 - x1)                 Slope formula

m = (3850 - 4290)/(8 - 4)          Substitution

m = -440/4                               Solve the subtraction problems in the parenthesis

m = -110                                  Reduce the fraction

Now that we have the slope of the line, we can use the point-slope formula (y - y1 = m[x - x1]) to find the equation for the line.  I will use the first point, but either point will produce the same answer.

y - y1 = m(x - x1)                                     Point-slop e formula

y - 4290 = -110(x - 4)                              Substitution

y - 4290 = -110x + 440                            Distribute the -110

y - 4290 + 4290 = -110x + 440 + 4290      Add 4290 to each side

y = -110x + 4730                                     Simplify

Since the formula that is being sought is supposed to be interms of P and t, I will replace y with P and x with t.

P(t) = -110t + 4730

To predict the population in 2006, we need to determine the years from 1990 to 2006.

2006 - 1990 = 16

P(16) = -110 (16) + 4730

P(16) = -1760 + 4730

P(16) = 2970

solve for g.

5.1g = 35.7

Answers

Answer:

g=7

Step-by-step explanation:

5.1 times 7 is 35.7

Answer:

Step-by-step explanation:

5.1g = 35.7

g = 35.7 / 5.1

= 7.

The x intercept of the inequality y > 12 - 3x is (a, 0) What is the value of a? (100 points)

Answers

Answer:

a > 4

Step-by-step explanation:

y > 12 - 3x, given the points(a, 0)

We just have to substitute the point of x and y

=> 0 > 12 - 3a

=> - 12 > - 3a,

divide both sides by the coefficient of a

=> - 12/-3 < a

Therefore a > 4

Help please n ty . ill give you brainiest and 50 points

Answers

Answer:

ok whats the question?

Step-by-step explanation:

I need help with these

Answers

I was too lazy to write all that on here so i did it on paper to make it easier, hope this helps :)

write the birds an order from shortest egg to longest egg
canda goose 3 2/5 Robin 3/4 turtle dove 1 1/5 raven 1 1/9

Answers

Answer:

roben,dove,raven  ,goose

Step-by-step explaunation:

you need to change them to the same denominator *first*

Answer:

Robin, Raven, Turtle dove, Canada goose.

Step-by-step explanation:

We are given the size of the eggs.

Canada goose: 3 2/5 Units = 17/5 UnitsRobin: 3/4 UnitsTurtle dove: 1 1/5 Units = 6/5 UnitsRaven: 1 1/9 Units = 10/9 Units

Now, we need to put the sizes of eggs in ascending order.

=> [tex]\frac{17}{5},\frac{3}{4} ,\frac{6}{5} , \frac{10}{9}[/tex]

Step 1: Make the denominators same.

=> [tex]\frac{17}{5},\frac{3}{4} ,\frac{6}{5} , \frac{10}{9}[/tex]

=> [tex]\frac{612}{180} ,\frac{135}{180} ,\frac{216}{180}, \frac{200}{180}[/tex]

Step 2: Order these egg sizes in ascending order.

=> [tex]\frac{612}{180} ,\frac{135}{180} ,\frac{216}{180}, \frac{200}{180}[/tex]

=> [tex]\frac{135}{180},\frac{200}{180},\frac{216}{180},\frac{612}{180}[/tex]

Step 3: Match the sizes of the eggs with the bird.

Robin, Raven, Turtle dove, Canada goose.

Final Answer: So, after working on this problem, we can conclude that the ascending order of bird's eggs size is:

Robin, Raven, Turtle dove, Canada goose.

Hoped this helped.

Find the gradient of the line segment between the points (-8,6) and (3,7). Give your answer in its simplest form.

Answers

Answer:

[tex] \frac{1}{11} [/tex]

Step-by-step explanation:

[tex]\boxed{gradient = \frac{ y _1 - y_2}{x_1 - x_2} }[/tex]

Gradient of line segment

[tex] = \frac{7 - 6}{3 - ( - 8)} [/tex]

[tex] = \frac{1}{3 + 8} [/tex]

[tex] = \frac{1}{11} [/tex]

Help me with this question please!! Show all work

Answers

Answer:

439

Step-by-step explanation:

The denominator simplifies to 106/15

The question becomes

3+1/(106/15)=3+15/106=333/106

Therefore m+n=439

Some friends played a board game. During the game, one unlucky player had to move 5 spaces 7 turns in a row. Find a number to represent that player’s movements for those 7 turns.

Answers

Answer:

The unlucky player moved 35 spaces after moving five spaces seven turns in a row.

Step-by-step explanation:

Our equation formed is: 7 x 5 = x

=> 7 x 5 = x

=> x = 35.

Therefore, the unlucky player moved 35 spaces.

2. If triangle ABC is congruent to triangle DEF by SAS, AB=DE,

Answers

Answer:

I can't Respond since I have no picture to help you or me

Step-by-step explanation:

Without the Picture I can't determine if the triangle ABC is congruent to triangle DEF by SAS, AB=DE

PLS HELP ASAP THANKS ILL GIVE BRAINLKEST THANKS

Answers

Answer:

The Forth Answer

Step-by-step explanation:

I Think That Is correct

The paragraph below comes from the rental agreement Susan signed when she opened her account at Super Video.

“All rentals are due back by midnight of the due date as printed on the transaction receipt. Any rental not received by midnight on the day it is due is subject to a late charge of $1.50 for each day it is late. Any rental not returned by the fifth day after the due date will be transferred to a sale. The Customer will then be required to pay the purchase price of the item in addition to five (5) days of late fees. The Customer will not be required to return the product once the total balance is paid.”

Both of Susan’s movies are three days late. According to her receipt, the purchase price of one of her movies is $12.00 while the purchase price for the other movie is $15.00. If she turns both of them in today, how much will Susan owe Super Video?

A) $4.50
B) $9.00
C) $27.00
D)$38.00

Answers

Answer:

$9

Step-by-step explanation:

(2 movies returned late)

3 days late

$1.50 per day late fee

equaling $4.50 per movie

TOTALING $9

TOTALING $9.00

Answer:

B) $9.00

Step-by-step explanation:

Since its less than 5 days, Susan will have to pay only late charge fee for two movies for 3 days.

The amount to be paid:

3*2*$1.5 = $9

Correct choice is B

Riley is saving up to buy a new television. She needs a total of $1,164.38. Riley has saved $200.66 already and earns $80.31 per week at her job. How many weeks does Riley need to work to save enough money to buy the new television?

Answers

1. First we can subtract $200.66 from $1,164.38 to find how much Riley has left to save: $963.72

2. Now we can divide $963.72 by how much Riley earns in a week $80.31 to find the number of weeks: 12 weeks

Answer: 12 weeks

Hope this helps!

What is the estimated sum of 503, 472, 486, 499, 539, and 522?

Answers

Answer:

3020

Step-by-step explanation:

round to the nearest  10

503 to 500

472 to 470

486 to 490

499 to 500

539 to 540

522 to 520

Write 9 2/3 as a inpropper fraction

Answers

29/3

9/1 x3/3 = 27/3
27/3 + 2/3 = 29/3

Answer:

29/3

Step-by-step explanation:

hopes this helps :)

help asap :)

8 1/4 as a percent

Answers

Answer:

Its 8.25% I know this because of history of math in my family

Emily spends $28 on food. This amount of 4/9 of her allowance, what is Emily’s allowance?


please help with explanation !

Answers

Answer:

$63

Step-by-step explanation:

so we want to find 9/9 of her allowance, which is 100%

we could use a proportion:

let 'a' = full allowance

[tex]\frac{28}{1}[/tex] ÷ [tex]\frac{4}{9}[/tex] = [tex]\frac{a}{1}[/tex] ÷ [tex]\frac{9}{9}[/tex]

when we divide fractions we multiply by the reciprocal to get:

28 x 9/4 = a

a = 252/4

a = 63

To solve two-step equations, it is useful to use reverse ________________ as a guide to isolate the variable efficiently. *

Answers

Answer:

operations

Step-by-step explanation:

to solve two-step equations, it is useful to use reverse operations as a guide to isolate the variable efficiently.

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