Given that f(x) = 4x + 5 and g(x) = x2 - 2x - 2, find (f + g)(x).
A) (f + g)(x) = x2 + 2x+3
B) (f + g)(x) = x2 + 6x+ 3
C) (f + g)(x) = -x2 + 6x + 7
D) (f + g)(x) = – x2 + 2x - 7

Answers

Answer 1

Answer:

A

Step-by-step explanation:

We are given the two functions:

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

And we want to find:

[tex](f+g)(x)[/tex]

This is equivalent to:

[tex]=f(x)+g(x)[/tex]

Substitute:

[tex]=(4x+5)+(x^2-2x-2)[/tex]

Rearrange:

[tex]=(x^2)+(4x-2x)+(5-2)[/tex]

Combine like terms. Hence:

[tex](f+g)(x)=x^2+2x+3[/tex]

Our answer is A.


Related Questions

help i have no idea how to do this​

Answers

Answer:

what you do is first you find out what 4 to the second power is do then you find what 6 to the second power is then you add the two answers you just got. after that you find the square root of the number you just got and that is the answer.

5x+7=4 What is the first step in solving this equation

Answers

Answer:

The first step would be subtract 7 from both sides.

If correct, mark me brainliest!

[tex]Hope this helps[/tex]

Answer:

Your first step would be to subtract 7 from both sides of the equation

Step-by-step explanation:

5x+7=4

5x=-3

Find the sum of the first 10 terms of the sequence -8,-2,4,10

Answers

Answer: -8,-2,4,10,16,22,28,34,40,46

Which set best represents the positive integers?
O A. {1,2,3,4,...)
O B. {0, 1, 2, 3, 4, ...}
O C. ..., -4,-3, -2, -1}
D. {..., -3, -2, -1, 0, 1, 2, 3, ...}-

Answers

Answer:

O A. {1,2,3,4,...)

Step-by-step explanation:

Its not B because it holds 0 which is ±

please help asap!!!! will mark brainliest

Answers

Answer:

A 9x--12 i hope this helps

Answer:

a. 9x-12

Step-by-step explanation:

Perimeter means total length of sides.

So, add (2x-7)+(5x-3)+(2x-2)

             9x-12

Someone help me please

Answers

Answer:

h. I dont understand the question-

i. 2w + 5

j. 7m + 13s (I didnt get the second number)

k. -2x + 3y (I also didnt get the first number-)

l. 5c - 2d

m. 10a + 2g

n. 5a + 12

Step-by-step explanation:

Between 1924 and 1969 the number of inhabitants of a village increased from 760 to 1026.

Calculate the percentage increase in the number of inhabitants over this period.

Answers

9514 1404 393

Answer:

   35%

Step-by-step explanation:

The percentage increase is found from ...

  % increase = ((new value)/(old value) -1) × 100%

  = (1026/760 -1) × 100%

  = (1.35 -1) × 100% = 0.35 × 100%

  % increase = 35%

Find (from (3)

f(x) = x^2 - x

Answers

Answer:

I think the answer is 6.......

write an equation for a line passing through (-4, 3) and (0, 6)

Answers

Answer:

y = 3/4x + 6

Step-by-step explanation:

6-3          3

------- =  ------

0--4        4

y = mx + b

take coordinates for y and x out of (-4, 3) or (0,6)

6= 3/4 * 0 + b

6 = 0 + b

b = 6

In a circle, the length of an arc incepted by a central angle is 12mm, and the radius of the circle is 8mm. What is the measure, in radians, of the circle?

Answers

16 pi mm=1.6 radians

Emma says the length of her favorite movie is 120120120 minutes, but she has rounded the time to the nearest ten.
Which could be the number of minutes of Emma's favorite movie before she rounded it?

Answers

Answer:

17

Step-by-step explanation:

Which relation is a function? A. (1,0) (3,0) (1,1) (3,1) (1,3). B. (1,1) (2,2) (3,3) (4,4) (5,8). C. (2,7) (6,5) (4,4) (3,3) (2,1). D. (9, -3) (9,3) (4, -2) (4,2) (0,0)

Answers

Answer:

a

Step-by-step explanation:

because it's a relation function

write a rule to describe the transformation
A. (x, y) (x, y)
B. (x, y) (3x, 4y)
C. rotation 180° about the origin
D. (x, y) (x-2 y-6)
please help me I'll really appreciate it ​​

Answers

D is the correct answer

Answer:

D

Step-by-step explanation:

you need to subuce the x-2 and y-6

What is the quotient?
t+3/t+4

Answers

Answer:

[tex] \frac{t + 3}{t + 4} = 1 - \frac{1}{t + 4} [/tex]

Please help me
Look at the image

Answers

Answer:

74 degrees

Step-by-step explanation:

As sum of interior and exterior at a vertex add to 180, subtract 106 from 180 to get 74 degrees

Benjamin needs $0.75 more cents to buy a granola bar that costs $1.89. How much money does Benjamin have now? The equation that correctly models the problem is To undo what has been done to the variable on both sides of the equation. The solution of the equation is

Answers

✔ b + 0.75 = 1.89  

✔ subtract 0.75  

✔ b = $1.14

the person above me doesn't make since so here the answers

Benjamin presently have $1.14.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

Benjamin needs $0.75 more cents to buy a granola bar that costs $1.89.

let Benjamin have the amount $b.

So, the Expression to represent the situation is:

b + 0.75 = 1.89  

Now, subtract 0.75 from both side

b + 0.75 - 0.75 = 1.89 - 0.75

b = 1.14

Learn more about Equation here:

https://brainly.com/question/29657983

#SPJ6

Given that x(3x+1) - 2(3x-5) = 3x^2 + ax + 10 find the value of a

Answers

Answer:

a= -5

Step-by-step explanation:

Answer:

a = -5.

Step-by-step explanation:

x(3x+1) - 2(3x-5)

= 3x^2 + x - 6x + 10

= 3x^2 - 5x + 10

Comparing this term by term with

3x^2 + ax + 10 we see a = -5.

Which statement is not true?

Answers

Answer:

top right

Step-by-step explanation:

Please help! (slopes and grafts) (multiple choice)

Answers

Answer:

slope = 2

Step-by-step explanation:

PLEASE PROVIDE ANSWER AS SOON AS POSSIBLE

Answers

x=2 it’s kinda hard to tell from the photo tho

Please help me if you can it would mean a lot!

Answers

A) 242
B) 1652
C) 118
Hope this helps

please help me with homework or i will get yelled by my teachers lolz

Answers

Answer:

the answer to this is 7.

Step-by-step explanation:

7+3=10.

10 = 7 + 3

uhmm bcos 3 + 7 = 10

Easy eh?-

What is the equation of the line that passes through the points
(6,8) and (-10, – 7)?

Answers

Answer:

y=15/16x+19/8

Step-by-step explanation:

Hi there!

We are given the points (6,8) and (-10, -7) and we need to find the equation of the line

There are 3 ways to write the equation of the line, but the most common format is slope-intercept form, or y=mx+b form, where m is the slope and b is the y intercept

First, we need to find the slope

The formula for the slope calculated from two points is (y2-y1)/(x2-x1), where (x1, y1) and (x2,y2) are points

Our (x1,y1), and (x2,y2) are (6,8) and (-10, -7)

we can label their values to avoid confusion:

x1=6

y1=8

x2=-10

y2=-7

substitute into the formula

m=(-7-8)/(-10-6)

m=15/16

so the slope is 15/16

here's our equation so far:

y=15/16x+b

we need to solve for b

Because the line will pass through (6,8) and (-10,-7), we can substitute either one of them into the equation to solve for b

Let's take (6,8) as an example

Substitute x as 6 and y as 8

8=15/16(6)+b

Multiply

8=45/8+b

subtract

19/8=b

therefore, the equation of the line is:

y=15/16x+19/8

Hope this helps! :)

A company needs to package 2,400 pencils. A box in the shape of a rectangular prism can hold 60 pencils. A cylindrical container can hold 80 pencils. Each box costs the company $0.50, while each cylindrical container costs $0.75.

Which packaging should the company use to minimize cost? Explain.

The rectangular prism boxes should be used because they will cost the company $2.50 less than using the cylindrical containers.
The cylindrical containers should be used because they will cost the company $2.50 less than using the rectangular boxes.
The rectangular prism boxes should be used because they will cost the company $5.00 less than using the cylindrical containers.
The cylindrical containers should be used because they will cost the company $5.00 less than using the rectangular boxes.

Answers

Answer:

The rectangular prism boxes should be used because they will cost the company $2.50 less than using the cylindrical containers.

Step-by-step explanation:

Box

2400/60 * .5 = 20

Cylinder

2400/80 * .75 = 22.5

Box cost 2.50 less

Answer:

a. The rectangular prism boxes should be used because they will cost the company $2.50 less than using the cylindrical containers.

Step-by-step explanation:

Just got it right on Edge

help me please really need it

Answers

Answer:

it's just a sussy baka and it cannot be that bad im feeling like imposter i might just be a monster

Step-by-step explanation:

Amongus in real life

sus caught in 4k camera

PLEASE HELPPPPPPPPPPPPPPPPPPPp

Answers

Answer:

I think its 30 meters. The bottom rectangle is 21 Meters and the top square is 9 Meters

I believe it is 7m^2

Which fraction has a terminating decimal as its decimal expansion?
One-third
One-fifth
StartFraction 1 Over 7 EndFraction
StartFraction 1 Over 9 EndFraction

Answers

Answer:

1/5

Step-by-step explanation:

Answer:

1/5 is the correct answer on edge. 2021

Step-by-step explanation:

5. Write an equation of a line in standard form for the given conditions. passes through (0,0) and is perpendicular to the line 2- y=6​

Answers

Answer:

69

Step-by-step explanation:

Which expression is equivalent to​

Answers

Answer:

[tex] x {4}[/tex]

Step-by-step explanation:

easy math

I NEED HELP PLEASEE I WILL GIVE BRIANLIEST!:)

Answers

Answers:

1.) 9

2.) 6

3.) 2

Answer:

7 x 9 = 9 x 7

5 x 8 = 5 x 4 x 2

4 x 6 = 3 x 2 x 4

Step-by-step explanation:

Equation 1:

Commutative property, just reversing the order of the factors.

Equation 2:

Since 5 s given we multiply 4 x 2 to get 8

5 x 8

Equation 3:

3 and 4 are given. Since 6 is a product of 3 and 2, 2 is the missing number.

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

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