What is the sum of F(X) and G(x) if F(x) = 8x ^ 3 + 7x ^ 2 - 11x + 20 and G(x) = - 5x ^ 3 - 4x ^ 2 - 17

Answers

Answer 1

Answer:

[tex]3x^{3}+3x^{2}-11x+3[/tex]

Step-by-step explanation:

f(x) + g(x) = [tex]8x^{3}+7x^{2}-11x+20-5x^{3}-4x^{2}-17[/tex]

To make this equation a little less long, we combine like terms

[tex](8-5)x^{3}+(7-4)x^{2}-11x+(20-17)[/tex]

or just

[tex]3x^{3}+3x^{2}-11x+3[/tex]


Related Questions

(30 point!)
David needs to travel between the store, the bank, and his home. The diagram shows his destinations and the angles formed. Which list shows the distances between these places from greatest to least?​

Answers

Step-by-step explanation:

58 ,43 and 82 thats rhe answer if you have any questions please let me know

Two chocolate donuts have about
400 calories. How many calories
would you expect to be in
5 chocolate donuts?

Answers

Answer:

1000 calories

Step-by-step explanation:

You can assume that each chocolate donut is 200 calories by doing 400/2, from there you do 200 times 5, which gets you 1000

Answer:

Step-by-step explanat

about 1000 i multipy 200X5

Find the minimum sample size you should use to assure that your estimate of pÌ will be within the required margin of error around the population p. Assume the Margin of error is 0.08 with a confidence level of 95%. From a prior study, pÌ is estimated to be 0.2.

Answers

Answer:

The minimum sample size required is 97.

Step-by-step explanation:

The (1 - α)% confidence interval for the population proportion is:

[tex]CI=\hat p\pm z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]

The margin of error for this confidence interval is:

[tex]MOE=z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]

The information provided is:

[tex]\hat p=0.20\\MOE=0.08\\\text{Confidence level}=95\%[/tex]

The critical value of z for 95% confidence level is, z = 1.96.

Compute the minimum sample size required as follows:

[tex]MOE=z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]

[tex]n=[\frac{z_{\alpha/2}\cdot\sqrt{\hat p(1-\hat p)}}{MOE}]^{2}\\\\=[\frac{1.96\times \sqrt{0.20(1-0.20)}}{0.08}]^{2}\\\\=96.04\\\\\approx 97[/tex]

Thus, the minimum sample size required is 97.

Find the slope of the line perpendicular to the graph of y− 1/5 x=7

Please Help!

Answers

Answer:

-5

Step-by-step explanation:

Because y = 1/5x +7

and perpendicular is negative and reciprocal

so

-5

Write an equation for the line that goes through point (-1,4) and is parallel to the
line y = 2x - 9

Answers

Answer:

y = 2x + 6

slope = 2

y intercept = 6

8. A flea wants to jump from the bottom to the top of a staircase that has 10 steps. He can either jump 3 steps up or 4 steps down. What is the smallest number of jumps he must make?

Answers

Answer:

8

Step-by-step explanation:

3 + 3 + 3 - 4 - 4 + 3 + 3 + 3

It takes a minimum of 8 jumps to land exactly on the 10th step.

PLEASE HELP ME I WILL MARK AS THE BRAINLIEST ANSWER


A unicycle wheel has a diameter of 12 inches. How many inches will the
unicycle travel in 5 revolutions?
Use u = 3.14 and round your answer to the nearest hundredth of an inch.

Answers

Answer:

226.19 inches

Step-by-step explanation:

I'm pretty sure that's the answer

Ross has 72 gumballs. He wants to share them equally between 6 friends. Which equation can be solved for "n" to find the number of gumballs

Answers

72÷6 = 12. Each friend will get 12 gumballs. Hope I helped!
Just use division and the answer is 12

PLEASE HELP!! ;)
What is the result when the number 14 is increased by 4.1%?

Answers

Answer:

14.574

Step-by-step explanation:

Answer:

Step-by-step explanation:

14.574

The product of two numbers is 16/3 if one of the number is 48/5 what is the other one?

Answers

Answer:

The other number is 5/9.

Step-by-step explanation:

16/3 = 48/5 * x

x = 5/9

Which multiplication expression is equal to 2/5÷2/3?

Answers

Answer:

2/5 × 3/2

I hope this helps!

Suppose a life insurance company sells a ​$190,000 ​one-year term life insurance policy to a 19​-year-old female for ​$290. The probability that the female survives the year is 0.999563. Compute and interpret the expected value of this policy to the insurance company.

Answers

Answer:

The expected value of this policy to the insurance company is $206.97

Step-by-step explanation:

Probability that Person doesn't die = 0.999563. Profit = Revenue - Cost; Profit = $290 - 0 = $290

Probability that Person dies = 1 - 0.999563 = 0.000437. Profit = Revenue - Cost; Profit = $290 - $190,000 = -$189,710

Expected Value E(X) = ∑xp(x)

E(X) = $290*(0.999563) + (-$189,710* 0.000437)

E(X) = $289.87327 - $82.90327

E(X) = $206.97

Thus, the expected value of this policy to the insurance company is $206.97

GIVING BRAINLIEST QUESTION IS ON THE PICTURE

Answers

Answer:

The first one

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

On a number line, -35 is closer to 0 than -40.

Which graph shows a proportional relationship between the number of hours of renting a boat and the total amount spent to rent the boat?

Answers

Answer:

Its B

Step-by-step explanation:

1. Write an expression for 8 less than 2
times a number.

Answers

Answer:

8<2x

Step-by-step explanation:

Answer:

8<2x

Step-by-step explanation:

I hope this helped! :D

plzzzz helppp iiii dddddooooonnnnnttttt llliiiikkkkkeeeee sscccccchhhhooooooooooollllllll

Answers

Answer:

4x4=16x4=64 64 is the answer I think

Step-by-step explanation:

(-8)² = -8×-8

= 64

(-4)³ = -4×-4×-4

=16×-4

=-64

SOLVE 4x9( 12/(5-2)^3)+9

Answers

Answer:

16x^9/9+9 should be the answer

Step-by-step explanation:

what is 0.44×(−534) ??

Answers

Answer:

−234.96

Step-by-step explanation:

Hope its the right answer that you're looking for :)

Which set of numbers includes only integers?

Answers

Answer:

the second one because an integer is a whole number and is not a fraction

Find the equation of the line that passes through the pair of points. Write your answer in slope-intercept form.
(−2, −4), (2, 0)

Answers

Answer:

y = x - 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Step-by-step explanation:

Step 1: Define

Point (-2, -4)

Point (2, 0)

Step 2: Find slope m

Substitute:                    [tex]m=\frac{0+4}{2+2}[/tex]Add:                              [tex]m=\frac{4}{4}[/tex]Divide:                          [tex]m=1[/tex]

Step 3: Find y-intercept b

Substitute in m:                    y = x + bSubstitute in point:               0 = 2 + bIsolate b:                               -2 = bRewrite:                                 b = -2

Step 4: Write linear equation

Slope-Intercept Form:   y = x - 2

And we have our final answer!


2(5x−2)− 2x -2 =34
Solve for x

Answers

X equals five my guy

6. What is the equation in slope-intercept form for the graph shown?
A) y + x = −2
B) y = 2x + 1
C) y – 2x = 1
D) y = –2x + 1

Answers

d, the rise over run method -2/1 and the y intercept is 1

What is the equation of the line that passes through the point (4, -8) and has a
slope of -12

Answers

The equation is Y=-12x+40

Eric went on a 11,150km trip. he travelled the firsy 7574 kilometre by train and the rest of the trip by car. if he took 12 days to complete the second part of his trip by car, what was the mean distance he drive each day ?

Answers

Answer:

298

Step-by-step explanation:

please make brainest thx

PRETTY PLEASE HELP this is my last question im stuck on

Answers

Answer: Domain: (−∞,0)∪(0,∞)
Range: (−∞,−1)∪(−1,∞)

Divide 3 divided by 2/5

7

7 1/5

7 1/2

8

Answers

uhhh 0.3 or 1.2 lol hope this helps

Anthe answer is x times (6)7x10)-1(3)

Step-by-step explanation:

a duck swam 10.5 kilometers in 3 hours. how many kilometers per hour did the duck swim

Answers

Answer:

3.5 km

Step-by-step explanation:

its 10.5 divided by 3 to get this answer

plz give me brainliest i need it plz

Rewrite the expression in the form b^n

Answers

Answer:

b 15/4

Step-by-step explanation:

question below please answer

Answers

Answer:

the awenser  is D

Step-by-step explanation:

took the test lolz

decimals that equals 1

Answers

Answer:

0.01

Step-by-step explanation:

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