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3 years ago

Find the standard form polynomial that represents this product. (6 - y - 4y^2)(-5 + 7y^2)

Mathematics

1 answer:

Tema [17]3 years ago

5 0

Answer:

-28y^4 - 7y^3 + 62y^2 + 5y - 30

Step-by-step explanation:

Opening the parenthesis and simplifying by combining like terms:

(6 - y - 4y^2)(-5 + 7y^2) =
6(-5) +6(7y^2) - y(-5) -y(7y^2) -4y^2(-5) -4y^2(7y^2) =
-30 + 42y^2 + 5y - 7y^3 +20y^2 -28y^4 =
-28y^4 - 7y^3 + 62y^2 + 5y - 30

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A rectangle has an area of 36 square units. As the length and the width change, what do you know about their product? Is this le

m_a_m_a [10]

Area = 36 = length*width

Then, while the area is constant the product length*width is constant.

Length and area are inversely related.

That means that to keep the same product (area), length vary in inverse proportion to width.

If you increase length, widht has to decrease to satisfy this relation:

width = 36/length

Of course, you can also say: length = 36 / width.

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3 years ago

Which ordered pairs are solutions to the inequality y - 3x < -8?

7nadin3 [17]

Answer:

Option B,C and E are solution to given inequality $y - 3x < -8$

Step-by-step explanation:

We need to check which ordered pairs from given options satisfy the inequality $y - 3x < -8$

Ordered pairs are solutions to inequality if they satisfy the inequality

Checking each options by pitting values of x and y in given inequality

A ) (1, -5)

$-5-3(1)$

So, this ordered pair is not the solution of inequality as it doesn't satisfy the inequality.

B) (-3, - 2)

$-2-3(-3) < -8\\-2-9$

So, this ordered pair is solution of inequality as it satisfies the inequality.

C) (0, -9)

$-9-3(0)$

So, this ordered pair is solution of inequality as it satisfies the inequality.

D) (2, -1)

$-1-3(2)$

So, this ordered pair is not the solution of inequality as it doesn't satisfy the inequality.

E) (5, 4)

$4-3(5)$

So, this ordered pair is solution of inequality as it satisfies the inequality.

So, Option B,C and E are solution to given inequality $y - 3x < -8$

6 0

2 years ago

PLEASE HELP could this be 110, maybe?? I've tried both 40 and 100 already.

Firdavs [7]

180-70-30=80
The answer is 80
The two triangles are the same.
Corresponding angles of congruent triangles are equal.
A triangle's three angles add up to 180 degrees.

3 0

3 years ago

Read 2 more answers

Please help me- pt. 4

nignag [31]

11/30 bags of mulch is needed.

Step-by-step explanation:

We have to find the number of bags of mulch.

7 (1/2) sq. yards need 2(3/4) bags of mulch.

So one sq. yd need 2(3/4) / 7(1/2)

We have to change the mixed fraction into improper fraction and then dividing them we will get the answer.

2(3/4) = ((2×4)+ 3)/4 = (8+ 3)/4 = 11/4

7(1/2) = ((7×2)+1)/2 = (14+1)/2 = 15/2

11/4 ÷ 15/2

It change into multiplication as,

11/4 × 2/15 = 11/30 bags of mulch is needed.

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3 years ago

Determine whether (3,6) is a solution of y= 13x - 4

Nonamiya [84]

Answer:

idk

Step-by-step explanation:

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3 years ago

Find the standard form polynomial that represents this product. (6 - y - 4y^2)(-5 + 7y^2)​

Find the standard form polynomial that represents this product. (6 - y - 4y^2)(-5 + 7y^2)