2 years ago

F(x) = (x + 6)(x - 4)

Mathematics

1 answer:

Romashka-Z-Leto [24]2 years ago

3 0

Answer:

x²+2x-24 is the answer

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Find the general solution of the given differential equation. cos^2(x)sin(x)dy/dx+(cos^3(x))y=1 g

eimsori [14]

If the given differential equation is

$\cos^2(x) \sin(x) \dfrac{dy}{dx} + \cos^3(x) y = 1$

then multiply both sides by $\frac1{\cos^2(x)}$ :

$\sin(x) \dfrac{dy}{dx} + \cos(x) y = \sec^2(x)$

The left side is the derivative of a product,

$\dfrac{d}{dx}\left[\sin(x)y\right] = \sec^2(x)$

Integrate both sides with respect to $x$ , recalling that $\frac{d}{dx}\tan(x) = \sec^2(x)$ :

$\displaystyle \int \frac{d}{dx}\left[\sin(x)y\right] \, dx = \int \sec^2(x) \, dx$

$\sin(x) y = \tan(x) + C$

Solve for $y$ :

$\boxed{y = \sec(x) + C \csc(x)}which follows from [tex]\tan(x)=\frac{\sin(x)}{\cos(x)}$ .

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2 years ago

What is the solution to -2(8×-4)<2x+5

Monica [59]

Distribute the -2 to get

-16x + 8 < 2x + 5

3 < 18x

1/6 < x

so x > 1/6

7 0

3 years ago

(5x^2−3x−2)−(−2x^2−x+10)<br> Express the answer in standard form

masha68 [24]

Answer:

7x2−2x−12

Step-by-step explanation:

7 0

3 years ago

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Consider the arithmetic sequence 13, 16, 19, 22, 25, ...<br> What is the 60th term in the sequence?

Pavel [41]

Answer:

180

Step-by-step explanation:

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3 years ago

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a recipe requires 1/2 cup of milk and 1/3 cup of water. How much more milk is required for tge recipe than water?

ycow [4]

Answer:

1/6 cup of milk

Step-by-step explanation:

1/2 (amount of milk)- 1/3 (amount of water)

1/2 = 3/6

1/3 = 2/6

3/6 - 2/6 = 1/6

Hope this helped <3

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3 years ago