If f(x) = 2x-5 and g(x) = x2 - 4x - 8, find (f+ g)(x).
O A. (f+9)(x) = x2 - 2x - 13
O B. (f+g)(x) = x2 + 2x - 3
O C. (f+g)(x) = x2 - 2x-3
O D. (f+g)(x) = 3x2 - 4x - 13

Answers

Answer 1

The addition of the functions f(x) and g(x) will be (f+ g)(x) = x² – 2x – 13. Then the correct option is A.

What is a function?

Functions are found all across mathematics and are required for the creation of complex relationships.

If f(x) = 2x – 5 and g(x) = x² – 4x – 8.

Then the function (f+ g)(x) will be

(f+ g)(x) = f(x) + g(x)

(f+ g)(x) = 2x – 5 + x² – 4x – 8

(f+ g)(x) = x² – 2x – 13

Then the correct option is A.

More about the function link is given below.

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Related Questions

find the side length of x . round your answer to the nearest hundredth of 11,14, x

Answers

Answer:

17.8

Step-by-step explanation:

use [tex]a^{2} +b^{2} =c^{2}[/tex] to get your answer

Can someone Answer this please!

Answers

Answer:

I think the answer is A because Irrational numbers cannot be written in as a fraction but the do repeat at the point

Which is grater 1/2 2/3 1/4 5/6

Answers

Answer:

5/6 is the greatest, it is closer to a whole number

Step-by-step explanation:

Answer:

5/6

Step-by-step explanation:

1/2 is only half

2/3 is very close

1/4 is not close at all

5/6 is the best answer

You paint 1/2 wall in 1/4 hour. At that rate, how long will it take you to paint one wall?​

Answers

Answer:

40 minutes is your answer

Answer: It will take a 1/2 hour or 30min to paint one full wall.

 

Andy wrote the equation of a line that has a slope of Step 2: y plus 2 equals StartFraction 3 Over 4 EndFraction x minus StartFraction 9 Over 4 EndFraction. and passes through the point (3, –2) in function notation.
Step 1: y – (–2) = Step 1: y minus left-parenthesis negative 2 right-parenthesis equals StartFraction 3 Over 4 left-parenthesis x minus 3 right-parenthesis. (x – 3)
Step 2: y + 2 = Step 2: y plus 2 equals StartFraction 3 Over 4 EndFraction x minus StartFraction 9 Over 4 EndFraction.x –
Step 3: y + 2 + 2 = Step 2: y plus 2 equals StartFraction 3 Over 4 EndFraction x minus StartFraction 9 Over 4 EndFraction.x – + 2
Step 4: y = Step 2: y plus 2 equals StartFraction 3 Over 4 EndFraction x minus StartFraction 9 Over 4 EndFraction.x –
Step 5: f(x) = Step 2: y plus 2 equals StartFraction 3 Over 4 EndFraction x minus StartFraction 9 Over 4 EndFraction.x –
Analyze each step to identify if Andy made an error.
Yes, he made an error in Step 1. He switched the x and y values.
Yes, he made an error in Step 2. He did not distribute StartFraction 3 Over 4 EndFraction properly.
Yes, he made an error in Step 3. He should have subtracted 2 from both sides.
No, his work is correct.

Answers

answer is C

He made an error in Step 3. He should have subtracted 2 from both sides.

Answer:

c

Step-by-step explanation:

Simplify 3over-9/3over-12

Answers

Answer:

i got

[tex] \frac{4}{3} [/tex]

I may be wrong but if not mark brainliest

If C is a circles circumference and r is it’s_____,then C=2pi r. The_____of a circle can be found by taking the product of half the circumference and the radius

Answers

Answer:

r is the radius, area

Step-by-step explanation:

Good luck

Answer:

Step-by-step explanation:

The first blank is radius.

The circumference = 2 * pi  *  r

For the second answer, if you take 1/2 the circumference, you get pi * r

If you then multiply by r, you get pi * r * r

pi * r^2 = the area.

A landscaper is planting a row of 10 shrubs along the walkway shown below. There must be one shrub at the very beginning and one shrub at the very end, and the shrubs in between will be equally spaced along the length of the walkway. Which equation can the landscaper use to find the distance d, in feet, to leave between the shrubs?

Answers

Answer:

[tex]9d = 36[/tex]

Step-by-step explanation:

See attachment for complete question

[tex]Length = 36ft[/tex]

[tex]n = 10[/tex]

From the question, we understand that one shrub must be at both ends.

Taking the first as a point of reference, we're left with:

[tex](n - 1) * distance = 36[/tex]

Substitute 10 for n and d for distance

[tex](10 - 1) * d = 36[/tex]

[tex]9 * d = 36[/tex]

[tex]9d = 36[/tex]

Hence:

[tex]9d = 36[/tex] answers the question

PLZZZ HELP< MY LAST ATTEMPT!

Answers

Answer:

A

Step-by-step explanation:

cos that's the midpoint

(-10) + -7)
find each sum?

Answers

Answer:

-10 + (-7)= -17

Step-by-step explanation:

Answer:

-17

Step-by-step explanation:

-10 plus -7 is -17

Jeremy bought a 5-kilogram can of peanuts for $4.50. What is the unit price?

Answers

Answer:

$0.90

Step-by-step explanation:

you would divide it by 5

$4.50/5=$0.90

hope this helps

brainliest?

Multiply. Use the greatest common factor to write each answer in simplest form. 24 x 5/6

Answers

Answer:

120

Step-by-step explanation:

The common denominator of 24/1 and 5/6 is 6 so you multiply 24/1 by 6 which equal 144/6. Then you multiply 144/6 and 5/6 which equals 720/6. When you simplify it, it equals 120.

Solve proportion 2/4.5=t/0.5

Answers

0.2 or 2/9 in fraction form I believe.

Describe how you would solve -2x - 3 < 5

Answers

Answer:

x > -4

Step-by-step explanation:

-2x-3<5

    +3 +3

-2x<8

/-2   /-2

x>-4

Basically, you subtract -3 from both sides to isolate -2x. Now the equation should be -2x<8. You divide by -2 on both sides to isolate the variable (x) and you should end up with x<-4. You flip the sign because you divided by a negative number. You should end up with x>-4.

In equation form how would you write up 4 to the right 1

Answers

Answer: 1 + 4 = 5

Step-by-step explanation: To the right means to add, so 1 + 4 = 5.

Answer:

y=4x+b

Step-by-step explanation:

You said it was linear equations, so this would represent the slope (m)

y=mx+b

The original answer is 4/1 but that simplifies to 4 since for slope you can infer by yourself that it's 4/1 even when you just have 4 as the slope in the equation

I don't know the b but if you do, plug it in (b is the y-intercept)

Lucy has a bag of marbles. She shares one third of them with Carol, keeping one quarter for herself. Amrita joins them, so Lucy gives the rest of the marbles to her. If Carol has seven more marbles than Lucy, how many does Amrita have?

PLEASE TELL HOW YOU GOT THE ANSWER!!

Answers

Answer:

Step-by-step explanation:

Let L = Lucy, C = Carol and A = Arita , x = Total amount of marbles

Lucy shares 1/3 with Carol and keeps 1/4 for herself.

This means that Carol has 1/3 of the total amount of marbles, Lucy has 1/4 of the total amount of marbles.

C = 1/3x

L = 1/4x

We are also told that Carol has 7 more marbles than Lucy

C = L + 7

Since C = 1/3x  and L = 1/4x you can sub these into the above equation and you get:

1/3x = 1/4x + 7

Subtract 1/4x from both sides

1/3x - 1/4x = 7

1/12x = 7

Multiply both sides by 12 to find x.

x = 7 times 12 = 84 (Total amount of marbles = 84)

Amrita gets the remaining number of marbles.

A = x - C - L

A = 84 - 1/3 (84) - 1/4 (84)

A = 35

What is the value of sin 53° to the nearest ten-thousandth?
0.9325
O 1.4663
O 0.5314
O 0.7986

Answers

Answer:

Fourth option

Step-by-step explanation:

You can use a scientific calculator

Find the 87th term of this sequence: 157, 150, 143, ...

Answers

Answer:

                [tex]\bold{a_{87}=-445}[/tex]

Step-by-step explanation:

[tex]a_1=157\\a_2=150\\\\d=150-157=-7\\\\a_n=a_1+d(n-1)\\\\a_{87}=157+(-7)(87-1)=157-7\cdot86=-445[/tex]

Bobby Joe and Billy ray went fishing at the local watering hole and caught a total of 51 fish. Billy Rat caught 17 fewer fish than Bobby Joe. Write an expression you can use to find out how many fish, f, each boy caught. How many fish did each boy catch? Bobby Joe caught ___ fish Billy Ray caught___ fish

Answers

Answer:

Bobby Joe caught 34 fishes

Billy Ray caught 17 fishes

Step-by-step explanation:

Let the number of fish Bobby Joe caught = y

Let the number of Billy Ray caught = x

Total number of fish caught = 51 fishes

x + y = 51......... Equation 1

Billy Ray caught 17 fewer fish than Bobby Joe.

y = x - 17

Write an expression you can use to find out how many fish, f, each boy caught.

Substitute x - 17 for y in Equation 1

x + y = 51......... Equation 1

x + (x - 17) = 51

x + x - 17 = 51

2x = 51 - 17

2x = 34

x = 34/2

x = 17

Hence, Bobby Joe caught 17 fishes

x + y = 51

17 + y = 51

y = 51 - 17

y = 34

Hence, Billy ray caught 34 fishes

A flagpole casts a 40-foot shadow. The angle of elevation from the tip of the shadow to the tip of the flagpole is 32 degrees. how tall is the flagpole? round your answer to the nearest foot.

Answers

Apex: 25 feet is the correct answer!

Step-by-step explanation:

Take it or leave it:) Good Luck

The height of the pole is 25 foot (approximate)

What is angle of elevation?

The angle of elevation is the angle formed between the horizontal line and a given observer’s line of sight. From its name, the angle of elevation represents the angle formed by the ground or base and the direction or the observer’s line of sight as the observer looks up at an object.

Given,

The shadow of the flagpole = 40 foot,

and the angle from the tip of the shadow to the tip of the flagpole = 32°

Perpendicular is the height of the pole and Base is its shadow.

Tan(x)=(perpendicular)÷(base)

Tan(32°) = 0.624869352

0.624869352 = (height of pole)÷40

0.624869352 x 40 = height of pole

24.9947741 = height of pole

Height of pole = 24.9947741

Height of pole ≈ 25 foot

Hence, tthe height of the pole is 25 foot (approximate)

Learn more about angle of elevation:

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if y= 2x - 3, find the value of y when x=2

Answers

Answer:

y=1

Step-by-step explanation:

Plug in 2 for x in the original equation, this gives you y=2(2)-3. 2(2)=4 and 4-3=1 therefore y=1.

Y is 1 because 2 x2 is 4-3 is 1 quick maths

Two consecutive odd Integers have a sum of 72. What are the two odd
Integers

Answers

Answer:

35 and 37

Step-by-step explanation:

Answer:

35 and 37

Step-by-step explanation:

In the House of Commons, citizens elect their members. Of the 800 members, 530 are from England, 120 are from Wales, 100 are from Scotland and 50 are from Northern Ireland. What is the percentage of members from Wales?

Answers

Answer:

15%

I like your demon slayer profile picture

Answer:

The answer is 15%.

Step-by-step explanation:

If 100 is 10% it only makes since that 15% is the right answer.

Hope This Helps!

Anna walks her dog at a constant rate of 12 blocks in 8 minutes. Complete the table to show the total time it takes to walk 12, 24, 36, and 48 blocks.

Answers

12=8 minutes

24=16 minutes

36=24 minutes

48=32 minutes

Answer:

8 min in 12, 16 in 24, 24 in 36, and 32 in 48

Step-by-step explanation:

First of all, we know that 12 blocks is done 8 minutes. and we see the 12, 24, 36, and 48 are all multiples of 12, so that pattern is adding 12. That means we shall continue the pattern with multiples of 8. So, for every 24 blocks, it will take 16 minutes, and in 36 blocks, it will take 24 minutes, and so on. I hope this helps and I hope it's right, and if it isn't I apologize.

Write one pair of brackets in this calculation so that the answer is correct. 5 + 2 × 7 – 4 = 11

Answers

Answer:

[tex]5+2*(7-4) =11[/tex]

Step-by-step explanation:

This expression was kind of trial and error for me seeing as I'm not really good at logic, but this is pretty basic. There are three possible places the parentheses can be placed (assuming each pair holds 2 terms);

[tex](5+2)*7-4\\5+(2*7)-4\\5+2*(7-4)[/tex]

The answer to the first expression would be 45, which is not equal to 11.

The answer to the second expression would be 15, which is also not equal to 11.

The answer to the last expression is 11, so that is the correct answer.

Hope this helped :D

- Shay

Help please

5w - w/x

When w = 6 and x = 2

Answers

Answer:

27

Step-by-step explanation:

5*6=30

6/2=3

30-3=27

Equation :

[tex]5w - \dfrac{w}{x} [/tex]

Given:

w=6

w=6x=2

Solution:

Let's put value of w and x

[tex]5 \times 6 - \dfrac{6}{2} [/tex]

Step 1:

[tex]30 - 3[/tex]

Step 2:

[tex]\purple{27}[/tex]

Min read his book for 1/3 hour before dinner. He read his book for 1 1/4 hours after dinner. Altogether, how many hours did min read his book?

Answers

Answer:

1 7/12

Step-by-step explanation:

The answer is 1/3+1 1/4 and if you make them common fractions it is 4/12+1 3/12=1 7/12

Answer:37/12

Step-by-step explanation:

1/3+11/4=37/12

Simplify 72+3w2 - 29w-61w2 + 23w - 42.

Answers

the answer is 30-122w
Answer:

30-122w

Explanation:

All you have to do is: Subtract the numbers and Collect the like terms.

use the vertex formula to find the vertex of the quadratic function f(x)=-x^2+6x-10

Answers

Answer:

15

Step-by-step explanation:

Answer:

I am sorry I can't help

Step-by-step explanation:

please forgive me

A patient is placed in an elliptical tank that is 178 centimeters long and 102 centimeters wide to undergo sound wave lithotripsy treatment for kidney stones. Determine where the sound emitter and the stone should be positioned relative to the center of the tank

Answers

Complete Question

The  diagram for this question is shown on the first uploaded image

Answer:

The position of the emitter is  [tex]E =  +  72.9 \  cm\ from\ the\ center [/tex]

The position of the stone is   [tex]S =  - 72.9 \  cm\ from\ the\ center [/tex]

Step-by-step explanation:

From the question we are told that

   The  length is  l =  178 cm

    The  width is  w  =  102 cm  

Generally the position of the stone along the horizontal axis is mathematically evaluated as

         [tex]h  =  \frac{178}{2}[/tex]

=>      [tex]h  = 89 \  cm   [/tex]

Generally the position of the emitter along the vertical axis is mathematically evaluated as

         [tex]k =  \frac{102}{2}[/tex]

=>      [tex]k  = 51 \  cm   [/tex]      

Generally the  resultant position of both stone and the emitter is

       [tex]R  =  \pm \sqrt{h^ 2  - k^2}[/tex]

=>     [tex]R  = \pm  \sqrt{89^ 2  - 51^2}[/tex]

=>     [tex]R  = \pm 72.9 \  cm   [/tex]

Hence the position of the emitter is  [tex]E =  +  72.9 \  cm[/tex]

            the position of the stone is   [tex]S =  - 72.9 \  cm[/tex]

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