Which expression is equivalent to this polynomial expression?
(2x^5 + 3y^4)(-4x^2 + 9y^4)

Which Expression Is Equivalent To This Polynomial Expression?(2x^5 + 3y^4)(-4x^2 + 9y^4)

Answers

Answer 1

Answer:

A. -8x⁷ + 18x⁵y⁵ - 12x²y⁴ + 27y⁸

Step-by-step explanation:

Given:

(2x⁵ + 3y⁴)(-4x² + 9y⁴)

Required:

Find an equivalent polynomial

Solution:

(2x⁵ + 3y⁴)(-4x² + 9y⁴)

Using distributive property of multiplication

2x⁵(-4x² + 9y⁴) + 3y⁴(-4x² + 9y⁴)

-8x⁷ + 18x⁵y⁴ - 12x²y⁴ + 27y⁸

There are no like terms to add or combine, therefore:

(2x⁵ + 3y⁴)(-4x² + 9y⁴) = -8x⁷ + 18x⁵y⁵ - 12x²y⁴ + 27y⁸

Answer 2

Answer:

-8x^7 + 18x^5y^5 - 12x^2y^4 + 27y^8

Step-by-step explanation:

I took the test


Related Questions

Determine an expression for dy
dx given that x = sin3
(t)andy = cos3
(t)

Answers

Answer:

[tex]\frac{dy}{dx} =-\sqrt[3]{\frac{y}{x} }[/tex]

Step-by-step explanation:

Recall that using the chain rule we can state:

[tex]\frac{dy}{dt} =\frac{dy}{dx}*\frac{dx}{dt}[/tex]

and therefore solve for dy/dx as long as dx/dt is different from zero.

Then we find dy/dt  and dx/dt,

Given that

[tex]x=sin^3(t)\\dx/dt = 3 sin^2(t)* cos(t)[/tex]

And similarly:

[tex]y=cos^3(t)\\dy/dt=-3\,cos^2(t)*sin(t)[/tex]

Therefore, dy/dx can be determined by the quotient of the expressions we just found:

[tex]\frac{dy}{dx} =\frac{dy/dt}{dx/dt} =\frac{-3\,cos^2(t)*sin(t)}{3\,sin^2(t)*cos(t)} =-\frac{cos(t)}{sin(t)}[/tex]

now notice that we can find   [tex]cos(t) = \sqrt[3]{y}[/tex]  from the expression for y,

and   [tex]sin(t) = \sqrt[3]{x}[/tex]  from its expression for x.

Therefore dy/dx can be written in terms of x and y as:

[tex]\frac{dy}{dx} =-\frac{cos(t)}{sin(t)}=-\sqrt[3]{\frac{y}{x} }[/tex]

Factor by Grouping
2y2 + 7yz + 5z2

Answers

Here you go! Hope this helps

What is the angle of elevation?

Answers

Answer:

Step-by-step explanation:

tan x° = [tex]\frac{3}{4}[/tex] ⇒ ≈ 36.87° ≈ 36.9°

C
Kris is cutting ribbon that each measure 2 ft
long. If Kris is cutting from a piece that measures
8zft
, how many pieces can Kris cut?

Answers

Answer:

4

Step-by-step explanation:

because 2+2+2+2=8 pretty self explanatory

Answer:

13

Step-by-step explanation:

Find the slope of the line that passes
through these two points.

Answers

Answer:

1/5

Step-by-step explanation:

[tex]\frac{2-1}{3--2} = \frac{1}{5}[/tex]

Answer: 1/5

Step-by-step explanation: Following our hint,

let's start with the slope formula.

m = y₂ - y₁ / x₂ - x₁

We take the second y minus the first y over the second x minus the first x.

So we have m = 2 - 1 / 3 - (-2) or 1 / 5.

So our slope is 1/5.

Please help.

Solve the System of Equations by Graphing

y=4

3x+4y=4

Answers

Answer:

graph below

Step-by-step explanation:

Graph in image below

Raju bought a book for Rs.35.65. He gave Rs.50 to the shopkeeper. How much money did he get back from the shopkeeper?​

Answers

I Hope this helps u out

What is the annual interest for a principal of $3,500 at a simple annual interest
rate of 2.3%?

Answers

Answer:

Step-by-step explanation:

Given principal p =$3500

Time t =1 year

Rate of interest r =2.3%

So annual interest=p×r×t/100

=3500×2×2.3/100

=7000×2.3/100

=16100/100

=161.

So annual interest is $161

What is the slope of the line through
(

5
,

10
)
(−5,−10)left parenthesis, minus, 5, comma, minus, 10, right parenthesis and
(

1
,
5
)
(−1,5)left parenthesis, minus, 1, comma, 5, right parenthesis?


tysm

Answers

Answer: y=15/4x+35/4

Step-by-step explanation:

Samuel left his house at time zero and drove to the store, which is 10 blocks away, at a speed of 2 blocks per minute. Then he stopped and went into the store for 7 minutes. From there, he drove in the same direction at a speed of block per minute until he got to the bank, which is 2 blocks away from the store. He stopped at the bank for 3 minutesThen he drove home at a speed of blocks every minuteMake a graph of showing the number of blocks away from home that Samuel is minutes after he leaves his house, until he gets back home.

Answers

Answer:

Attachment given answer

Step-by-step explanation:

I gave you the answer but if you have any questions let me know.

Find the slope of the line.

Answers

The slope of the line should be -3/2

A line passes through the point (-6,7) and has a slope of -4/3. Write an equation in slope-intercept form for this line.

Answers

Answer:

Step-by-step explanation:

y-7= -4/3 (x+6)

y-7= -4/3x-8

add 7 to both sides

y= -4/3x-1

The equation in slope-intercept form for the given line is 3y = -4x -3

What is Equation?

The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that a line passes through the point (-6,7) and has a slope of -4/3.

Standard equation of a line = y = mx + c where m is the slope,

Therefore, putting values of x and y to get the value of c

7 = -6*-4/3 + c

c = 7 - 8

c = -1

Equation = y = -4x/3 -1

Or, 3y = -4x -1

Hence, the equation of a line passing through the point (-6,7) and has a slope of -4/3 is 3y = -4x -1

For more references on Equation, click;

https://brainly.com/question/10413253

#SPJ2

M=3 (-4,-7) PLease include steps!!( I will give brainliest)

Answers

Answer:

65

Step-by-step explanation:

Answer:

65

Step-by-step explanation:

y= -2x+8
what is the value of y when 0 is the value of x?

Answers

Value of y is 8 because if x is zero than zero times anything is zero and you have 8 left over

Not sure what you mean but will be explaining about y = 0 and x =0 anyway.

So for x = 0, that means the value of x is 0.

y = -2(0)+8

y=0+8

y=8

So when x = 0, the value of y is 8 (y = 8) or we can write (0,8)

For y = 0, that means the value of y is 0.

0=-2x+8

-8=-2x

-2x=-8

x=4

So when y = 0, x = 4. We can write as (4,0)

If a coconut has tree has 12 coconut on it if 25% of the coconuts fell to the ground how many fell

Answers

Answer:

It would be three coconuts hope this helped

Step-by-step explanation:

Write an equivalent addition expression to : -10 – (-4)

Answers

Answer:

-6

Step-by-step explanation:

-10-(-4)=-1+4=-6

Hope this helps plz mark brainliest ;D

If the area of the rectangle is(xA^3−4x^2−15x+21) and the width is (x-6), what is the length?

Answers

Answer:

hmm, imma have to do the problem

Step-by-step explanation:

enter decimal numbers in the boxes to complete the order pair that locates point Q on the coordinate plane

Answers

Q would equal (1.5,-1.5)

Answer:

(1.5,-1.5)

Step-by-step explanation:

Hope this helps you

giving 30 points &’ brainliest to whoever can help w there two questions!!

Answers

Answer:

binomial and not a polynomial

In science class, Polly learned that trees help make the oxygen that people breathe. One tree makes about 250 pounds of oxygen each year. Polly wonders how much oxygen the trees on her street make. When she gets home, she counts 32 trees on her street. How many tons of oxygen do they make in a year?

Answers

Answer:

They make 4 approximately tons of oxygen each year.

Step-by-step explanation:

( 250lbs × 32 ) ÷ 2000 = 4t

250 pounds because each tree makes about 250 pounds of oxygen a year.

× 32 because there are 32 trees, so they'll make 32 times more oxygen than one tree.

÷ 2000 because before that everything was in pounds, and the question asks about tons. There are 2000 pounds in a ton, so you divide by 2000 to get the answer, which is 4 tons.

Write an expression to model the following situation: A submarine was 32 m below sea level. It descended 28 more meters.

What is its new position below sea level?

32 + 28


32 – 28

–32 + 28

–32 – 28

Answers

it would be -32-28 please mark brainliest

4 hours worked for $12; 7 hrs worked for $28 are the pair of ratios equal?

Answers

Answer:

no they're not equal

Step-by-step explanation:

you can find the ratio by dividing 12/4 and 28/7. 12/4 = 3 and 28/7 = 4. 3 and 4 are not equal, so no.

Answer:

No, the pair of ratios are not equal

Explanation:

To see if the ratios are equal, we have to simplify the both of them. For the first one, it’s 12/4. That is equivalent to 3/1. This means she gets $3 for every hour. Now to the next one. The ratio is 28/7 and simplify that into 4/1. That means he gets $4 each hour. So they are different meaning the pair of ratios are not equal. Good luck on your test! Have a good day.

solve (x-4)^2=5.
Answers:
A. x=9 and x=1
B. x=5+(square root)4
C. x=-4+(square root)5
D. x=4+(square root)5

Answers

Answer:

don't dout yourself

Step-by-step explanation:

never give up thanks for the free points

Hadley paddled a canoe 2 miles in 1/9 of
an hour How far could Hadley paddle in
1 hour?

Answers

Answer: 18 miles

explanation: set up a proportion. (2 over 1/9 = x over 1). cross multiply, 2x1=2, then divide 2/(1/9)=18.


0.5x = 3
What is the value of x?

Answers

Answer:

x = 6

Step-by-step explanation:

To solve this equation, we need to isolate x. To do that, we need to divide both sides of the equation by 0.5. That gives us:

0.5x=3

x=3/0.5 = 6

Answer:

x=6

Step-by-step explanation:

0.5x÷0.5=3÷0.5

x=3÷0.5

x=6

Fred can paint a 30-foot fence in 5 hours. Which of the following is true?

Answers

Answer:

lol

Step-by-step explanation:

What is 8 divide 1/5?
What is 8 divide by 1/5

Answers

They are both 40 lol, it’s the same

Answer:

40

Step-by-step explanation:

9a + 8 - 20-3-50
Answer

Answers

Answer:

9a-65

Step-by-step explanation:

simply write 9a+(add the remaining numbers all together)

What is the value of the function at x=−2?

Answers

Answer:

y = 3

General Formulas and Concepts:

Reading a Cartesian PlaneReading and labeling coordinates

Step-by-step explanation:

The question is asking us what the y-value is when x = -2.

According to the graph, when x = -2, y = 3.

Therefore, y = 3.

HELP ME ASAP

graph f(x)=3x+4 and h(x)=f(x+3)

Answers

sorry if it’s the wrong answer

The standard form for expressing the equation of a straight line is

y = mx + b

Given the functions from the question f(x)  = 3x + 4

If h(x) = f(x+3)

Replace x with x+3 in the function f(x) to have;

h(x) = 3(x+3) + 4

h(x) = 3x + 9 + 4

h(x) = 3x + 13

Hence the required graph for both functions are attached below;

Learn more here: https://brainly.com/question/17003809

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