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3 years ago

Consider the polynomial below.

Mathematics

1 answer:

kotykmax [81]3 years ago

3 0

Answer:

(-4x - 2)(-5x) + (-4x - 2)(3)

Step-by-step explanation:

Your polynomial is

(-4x - 2)(-5x + 3)

The distributive property states that

a(b + c) = ab + ac

Let a = -4x - 2. Then

(-4x - 2)(-5x + 3) = a(5x + 3) = a(-5x) + a(3)

Substitute the value of a.

a(-5x) + a(3) = (-4x - 2)(-5x) + (-4x - 2)(3)

You have just distributed the first binomial (-4x - 2) among the terms of the second binomial.

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Find dy/dx for 4 - xy = y^3

storchak [24]

Answer:

$\frac{dy}{dx}=-\frac{y}{3y^2+x}$

Step-by-step explanation:

4-xy=y^3

dy/dx=?

$\frac{d(4-xy)}{dx}=\frac{d(y^3)}{dx}\\ \frac{d(4)}{dx}-\frac{d(xy)}{dx}=3y^{3-1}\frac{dy}{dx}\\ 0-(\frac{dx}{dx}y+x\frac{dy}{dx})=3y^2\frac{dy}{dx}\\ -(1y+x\frac{dy}{dx})=3y^2\frac{dy}{dx}\\ -(y+x\frac{dy}{dx})=3y^2\frac{dy}{dx}\\ -y-x\frac{dy}{dx}=3y^2\frac{dy}{dx}$

Solving for dy/dx: Addind x dy/dx both sides of the equation:

$-y-x\frac{dy}{dx}+x\frac{dy}{dx}=3y^2\frac{dy}{dx}+x\frac{dy}{dx} \\ -y=3y^2\frac{dy}{dx}+x\frac{dy}{dx}$

Common factor dy/dx on the right side of the equation:

$-y=(3y^2+x)\frac{dy}{dx}$

Dividing both sides of the equation by 3y^2+x:

$\frac{-y}{3y^2+x}=\frac{(3y^2+x)}{3y^2+x}\frac{dy}{dx}\\ -\frac{y}{3y^2+x}=\frac{dy}{dx}\\ \frac{dy}{dx}=-\frac{y}{3y^2+x}$

7 0

3 years ago

Look at the figure: An image of a right triangle is shown with an angle labeled x. If tan x° = e divided by 8 and sin x° = e div

Nastasia [14]

Answer:

cos x = 8/f.

Step-by-step explanation:

We can use the identity :

tan x = sin x / cos x.

Substituting:

e/8 = e/f / cos x

e/8 * cos x = e/f

cos x = e/f * 8/e

cos x = 8e / fe

cos x = 8/f.

8 0

3 years ago

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Two spherical balloons are filled with water. The first balloon has a radius of 3 cm, and the second has a radius of 6 cm.

lana [24]

Sphere Volume = 4/3 • π • r³

Small Balloon = 4/3 • 3.14 • 3^3

Small Balloon = 37.68 cc

Large Balloon = 4/3 • 3.14 • 6^3

Large Balloon = 904.32 cc

 Difference = (904.32 -37.68) = 866.64 cc

The larger balloon has 866.64 cc more water than the small balloon.

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3 years ago

Which expressions are equivalent to 2^5x2^4? Check all that apply

KIM [24]

Answer:

Step-by-step explanation:

2^9

2^-2 * 2^11

(2*2*2*2*2)*(2*2*2*2)

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3 years ago

-x + 5y = 13 x - y = 15

aivan3 [116]

Answer:

x-y-15=15-15

x-y-15=0

hope this helps :)

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3 years ago

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