Mathematics College

Let $f(x) = x^3 + 3x ^2 + 4x - 7$ and $g(x) = -7x^4 + 5x^3 +x^2 - 7$. What is the coefficient of $x^3$ in the sum $f(x) + g(x)$?

Answers

Answer 1

Answer:

Step-by-step explanation:

Adding the two polynomials gives

(x^3 + 3x^2 + 4x - 7) + (-7x^4 +5x^3 + x^2 - 7) =

-7x^4 + (x^3 + 5x^3) + (3x^2 + x^2) + 4x + (-7-7) =

- 7x^4 + 6x^3 + 4x^2 + 4x -14

The x^3 term is 6x^3, so the desired coefficient is 6.

Related Questions

Which of the following shows the factored form of x2 + 7x – 8?

Answers

Answer:

Step-by-step explanation:

Go to algebra calculator it will show the answer.

Answer:

(x-1) (x+8)

Step-by-step explanation:

If you factor this question out correctly, you would get the answer above.

If cm on a map represents 20km on the ground ,how far apart are two villages that are 0.5cm aprt on the map?

Answers

Answer: 10 km

Step-by-step explanation:

20 km = 1 cm

villages are 0.5 cm apart

0.5+0.5=1

20/2= 10

so 10 km.

Solve using substitution

x-y= 6
4x+2y=36

Answers

X=6+y
4(6+y) +2y=36
24+6y=36
6y=12
Y=2
X=8

A function is shown below.

g(x)=19.60+1.74x

What is the value of g(30)?

Answers

Answer:

g(30) = 71.8

Step-by-step explanation:

g(30) = 19.6 + 1.74(30)

The value of the g(30) is 71.8 if the function is g(x) = 19.60 + 1.74x

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function:

g(x)=19.60+1.74x

Plug x = 30

g(30) = 19.60+1.74(30)

g(30) = 19.60 + 52.2

g(30) = 71.8

Thus, the value of the g(30) is 71.8 if the function is g(x) = 19.60 + 1.74x

Learn more about the function here:

brainly.com/question/5245372

#SPJ2

can u please help me

Answers

I kfksnsjsjsjennwmdkcicubwbdnd

One year, the population of a city was 330,000. Several years later
it was 270,600. Find the percent decrease.

Answers

Answer:

18% Decrease.

Step-by-step explanation:

You can use this formula for % decrease questions. :)

Decrease= Starting value (original) - Final Value (the smaller number) / starting value x 100.

Hope this helps,

Azumayay

If g(x) = f(4x), which statement is true?

Answers

Answer:

I believe its the last answer.

Step-by-step explanation:

Describe the translation from the red figure to the blue figure

Answers

Answer:

whattt do I have to do translate what???

Answer:

The blue image is a translation to the red image

Step-by-step explanation:

If you are saving 60% which is $54, what will the sale price of the Printer be?

A $60

B $54

C $36

D $90

Answers

Answer:

the answer should be D.$90

Step-by-step explanation:

54 x .6 = 90

90 dollars (choice D)

Help ASAP !!!! I’m almost done

Answers

Answer:

1. 30.48cm

2. 5.77yds

3. 540min

4. 1200cm

5. 8.45qt

6. 168hr

7. 4535.92grams

8. 15yd

9. 32.808ft

Step-by-step explanation:

hope this helps :)

OMG PLEASE PLEASE PLEASE HELP!!!! I NEED THISS DONE ASAP!! Pleaseeee giving brainlest!!

Answers

Answer:

triangular prism

Answer:

it will be triangular prism

A tool box has the dimensions of 9 in by 3 in by 6 in. If Rick plans to double all three dimensions to build a larger tool box, he believes he would double the volume of the tool box. Is he correct?

Answers

Answer:

No; it will not double the volume of the box

Step-by-step explanation:

What is the solution to this equation 4x=124

Answers

Answer:

Step-by-step explanation:

divide 124 by 4

x=124

Answer:

x=31

Step-by-step explanation:

Divide both sides of the equation by the same term

4x/4 = 124/4

Then you have to divide the numbers.

x= 124/4

x= 31

Please help me pleasere

Answers

Answer:

Step-by-step explanation:

A savings account starts with $181.25. After 7 years of continuous compounding at an interest rate, r, the account has $1450. What is the interest rate percentage? Round the answer to the nearest hundredth.

Answers

Rate of interest by which amount $181.25 becomes $1450 in 7 years by continuous compounding will be 29.71%.

Rule for the continuous compounding: Expression for the final amount comounded continuously is given by,

Final amount = [tex]Pe^{rt}[/tex]

Here, P = Principal amount

r = Rate of interest

t = Duration of investment

Given in the question,

P = $181.25

t = 7 years

Final amount = $1450

Substitute these values in the expression,

[tex]1450=181.25e^{7r}[/tex]

[tex]e^{7r}=8[/tex]

[tex]\text{ln}(e)^{7r}=\text{ln}(8)[/tex]

[tex]7r=2.07944[/tex]

[tex]r=0.2971[/tex]

[tex]r=29.71\%[/tex]

Therefore, rate of intereset for the investment is 29.71%.

Learn more about continuous compounding here,

https://brainly.com/question/13079114?referrer=searchResults

What is the slope of a line perpendicular to the line whose equation is x+3y=-12

Answers

Answer: 3

Step-by-step explanation:

Find slope of that line which is -1/3x-4

then flip its sign and the equation to get 3

I will NOT like it with a link thank you

Answers

Answer:

It’s b

Step-by-step explanation:

You can plot the points on the graph to test them out . B was the only one that made a rectangle

what is 2X500 pls!!!!!

Answers

Answer:

1000

Step-by-step explanation:

2×500=1000

hope it helps

3/2 p - 14 = p + 13
Please help

Answers

Answer:

p=54 hope this helps

Step-by-step explanation:

A restaurant chef has designed a new set of dishes for his menu. His set of dishes contains 10 10 main courses, and he will select a subset of them to place on the menu each night. To ensure variety of main courses for his patrons, he wants to guarantee that a night's menu is neither completely contained in nor completely contains another night's menu. What is the largest number of menus he can plan using his 10 10 main courses subject to this requirement

Answers

Answer:

252 menu

Step-by-step explanation:

Total number courses, n = 10

The largest number of menu the chef can plan using his 10 main courses.

There are various combinations of menu obtainable from the available courses :

Ranging from :

nC0 to nCn

The largest number of menu he can plan is the highest output obtainable between :

10C0 to 10C10

10C0 = 1

10C1 = 10

10C2 = 45

10C3 = 120

10C4 = 210

10C5 = 252

10C6 = 210

10C7 = 120

10C8 = 45

10C9 = 10

10C10 = 1

Hence, the largest number of menu he can plan using his 10 main courses is 252

if 4=p (p+5)=21 find p

Answers

Answer:

p=16?

16+5=21?

Step-by-step explanation:

16+5=21

the ratio of lampreys to oarfish in the marine aquarium was 27:22 if there were 162 lampreys in the aquarium how many oarfish were there

Answers

Answer:

132

Step-by-step explanation:

First divide the number of lampreys by the ratio.

162/27=6

Then multiply the result (6) by the oarfish part of the ratio

22*6=132

please help me out with this

Answers

Answer:

1) Since 4(5+x) is 4*5+4*x, and because 4*5+4*x is

How do you find the perimeter and area of each figure

Answers

Answer:

Find the perimeter and area of each individual cube then add them up,

Area=length times width

Perimeter=4 times side

Step-by-step explanation:

Divide. Write your answer in simplest form. 9/2 / 1/4

Answers

Answer:

Step-by-step explanation:

9/2 / 1/4

keep 9/2

Change the operation to multiplication

flip 1/4 into 4 or 4/1

multiply on top and bottom and get 36/2

which 36/2 is 18 and 18 is the answer

Brainliest?

It has to be 18 use Socratic

In circle O, central angle BOC has a measure of 115. Find the measure of arc BAC. In your final answer, Include all of your work.

Answers

Circumference you multiply and divide

Answer:65

Step-by-step explanation:

Alice sells bracelets 10 for $5. How much does 1 bracelet cost?

Answers

Answer:

FOR ALL MY POINTS write an argumentative essay on why dog parks are "helpful or harmful"

READ PROMPT

Step-by-step explanation:

Answer:

Step-by-step explanation:

Because Alice sells 10 bracelets for 5 dollars, you have to do 10/5 which is equal to 2. Therefore, 1 bracelet cost $2.

What is 65% of 85, rounded to two decimal places?

Answers

Answer:

55.25

Step-by-step explanation:

The perimeter of a square is given as 12x plus 20 write two different expressions to represent its perimeter for one way factors the expression using the gcf

Answers

Given: 12x +20

factor out a two: 2(6x +10)
factor out a four: 4(3x+5)
factor out 3/4: 3/4(9x +15)
factor out 1/2: 1/2(6x +10)

Hint: think of Multiples of 12 and 20

Hope this helps!

cual seria 1/10 de $360 pesos

Answers

Answer:36 pesos porque 1/10 de 360 es como multiplicar 1/10 por 360

Step-by-step explanation:

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