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

decimals that equals 1

Answers

Answer:

0.01

Step-by-step explanation:

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


2(5x−2)− 2x -2 =34
Solve for x

Answers

X equals five my guy

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

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 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

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.

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

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:

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!

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

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

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.

what is 0.44×(−534) ??

Answers

Answer:

−234.96

Step-by-step explanation:

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

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

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

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.

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

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

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

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

question below please answer

Answers

Answer:

the awenser  is D

Step-by-step explanation:

took the test lolz

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:

(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

Rewrite the expression in the form b^n

Answers

Answer:

b 15/4

Step-by-step explanation:

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

Answers

Answer:

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

Step-by-step explanation:

PRETTY PLEASE HELP this is my last question im stuck on

Answers

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

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

Answers

Answer:

2/5 × 3/2

I hope this helps!

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

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

Other Questions
Which relation is a function?a.{(5,3), (2,8), (-5, -1),(4,7), (2, 1)}b. {(5,3), (2,8), (-5,-1), (4,7), (-2, 1)}{(5,3), (2,8), (-5, -1), (4,7), (5,7)}d. {(-5,3), (2,8), (-5, -1), (4,7), (2, 2)} You tie the loose end of a 0.1 kg yo-yo string to your finger and then release the yo-yo so that it spins down toward the ground (the yo-yo is released from rest and the end of the string tied to your finger remains motionless). After the yo-yo falls a distance of 0.9 m, it has a translational speed of 4 m/s and an angular speed of 180 rad/s. What is the moment of inertia of the yo-yo Solve this equation2 x + 3 = x - 4 If 0.484J of heat is added to 0.1372g of water, how much will the temperature increase?0.263 C0.927 c0.843 C0.460 C If the marginal revenue (in dollars per unit) for a month is given by MR = 0.5x + 400, what is the total revenue from the production and sale of 30 units? Between what two thousands is 9,302? Alepho, who has remained in his village after the first round of attacks, eventuallyhas to evacuate with whom?A) his motherB) his fatherC) by himselfD) his brothers, Joseph and Peter Your uncle just bought a hybrid car and wants to take you and your siblings camping. Before you leave for the trip your uncle fills up the car with 18 gallons of gas. After driving for 1 hour there are 16.5 gallons of gas left in the tank. A lead fishing weight of mass 0.20 kg is tied to a fishing line that is 0.50 m long. The weight is then whirled in a vertical circle. The finishing line will break if its tension exceeds 100.0 N. (a) If the weight is whirled at higher and higher speeds, at what point in the vertical circle will the string break (top, bottom, or random position) Which of the following ratios is equivalent to 3:4? a6:10 b9:12 c10:40 d8:6 Line l was mapped to Line m as shown in the graph below. please help What transformation was applied to Line l to produce the result shown?Line l was translated up 5 units.Line l was reflected over the x-axis.Line l was reflected over the y-axis.Line l was translated 6 units to the right. Hey I am doing a Nomads and farmers assignment and i need help Joe worked 8 hours less then Lou. Together they worked 72 hours. How many hours did each work? Read the sentence. When the cowboys on the range heard the sound of pots and pans, they knew that the cook had begun to prepare breakfast. Which word should a writer use in the place of sound to provide the most precise meaning? . grumble O screech o noise o clatter If the slope of line a is -4/3 and the slope of line b is 3/4 line a and line b are perpendicular A: TrueB: FalseC: False most of the time What kind of site is not credible because anyone can change the information on them?(1 A: pointblogsB: wikisC:magazinesD:eBooks What are the advantages and disadvantages of superchargers and turbochargers please list source and give at least 7 examples for each. please help asap The two lines graphed below are not parallel. How many solutions are there to the system of equations?A.Infinitely manyB.TwoC.OneD.Zero NEED HELP IS THERE SOMEONE CAN HELP ME PLS :) Clara Bartons passion for helping others began early in life. She first found her calling while caring for her brother after he had been injured in an accident. Years later, during the Civil War, Clara sought to help the soldiers in any way she could. She collected needed supplies and distributed them to the Union Army. These supplies included items such as food, bedding, and clothing.In 1881, Clara opened the first chapter of the American Red Cross in the United States and served as its first president. The American Red Cross is a relief organization that offers assistance to victims of such disasters as the 1889 Johnstown Flood and the 1900 Galveston Flood. She served as president for 23 years before resigning.What picture would be best to use on a yearbook page about Clara Barton to illustrate an award for "Most Compassionate? A. a nurse B. a soldier C. a bed D. a flood