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3 years ago

For the given functions f and g , find the indicated compositions.

Mathematics

1 answer:

nadya68 [22]3 years ago

3 0

Answer:

$f( - 3) = {( - 3)}^{2} - 2 \times ( - 3) - 3 = 9 + 6 - 3 \\ = 12 \\ g(12) = 12 + 2 = 14$

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-10.2+c=-8.14<br> Helpppp

Oksanka [162]

Answer:

c=18.34

Step-by-step explanation:

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3 years ago

Private colleges and universities rely on money contributed by individuals and corporations for their operating expenses. Much o

Art [367]

Answer:

The value will be used as the point estimate for the mean endowment of all private colleges in the United States is of 180.975 millions of dollars.

Step-by-step explanation:

When we have a sample, the mean of the sample is used as the point estimate for the mean of the entire population.

What value will be used as the point estimate for the mean endowment of all private colleges in the United States?

We have to find the mean of the 8 colleges. So

$M = \frac{60.2 + 47.0 + 235.1 + 490.0 + 122.6 + 177.5 + 95.4 + 220.0}{8} = 180.975$

The value will be used as the point estimate for the mean endowment of all private colleges in the United States is of 180.975 millions of dollars.

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3 years ago

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maks197457 [2]

Answer:

(x-y^2)(x^2 +xy^2 +y^4)
(a^2 +b)(a^4 -a^2b +b^2)
(m^3-n)(m^6 +m^3n +n^2)
(p+k^3)(p^2 -pk^3 +k^6)
(a^2+b^3)(a^4 -a^2b^3 +b^6)
(x-y)(x^2 +xy +y^2)(x^6 +x^3y^3 +y^6)

Step-by-step explanation:

In every case, the factorization makes use of the standard form for factoring the sum or difference of cubes:

a^3 +b^3 = (a +b)(a^2 -ab +b^2)
a^3 -b^3 = (a -b)(a^2 +ab +b^2)

1. a=x, b=y^2. Use the formula for the difference.

2. a^2 ⇒ a, b = b. Use the formula for the sum.

3. a=m^3, b=n. Use the formula for the difference.

4. a=p b=k^3. Use the formula for the sum.

5. a^2 ⇒ a, b^3 ⇒ b. Use the formula for the sum.

6. a=x^3, b=y^3. Use the formula for the difference. When you do, the first factor is the difference x^3 -y^3, which can be factored using the difference formula again with a=x, b=y.

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4 years ago

Alexandra wants to design a game. In the game that Alexandra wants to create, it will involve two spinners and a game mat. The f

sattari [20]

Ok, good for her.
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3 years ago

Find the Derivative.<br> f(x) = -xcos3x

DENIUS [597]

Answer:

$\frac{d}{dx}(-xcos3x)= 3x \ sin(3x)- cos(3x)$

Step-by-step explanation:

Use the Product Rule for derivatives, which states that:

$\frac{d}{dx} =[f(x)g(x)]= f(x)g'(x)+f'(x)g(x)$

In the function we are given, $f(x)=-x \cos3x$ , we can break it up into two factors: -x is being multiplied by cos3x.

Now, we have the factors:

$-x \\ $cos 3x$

Before using the product rule, let's find the derivative of cos3x using the chain rule and the power rule.

$\frac{d}{dx}(cos3x)= \frac{d}{dx} (cos3x) \times \frac{d}{dx} (3x) \\ \frac{d}{dx}(cos3x)= (-sin3x) \times 3 \\ \frac{d}{dx} (cos3x) = -3sin(3x)$

Now let's apply the product rule to f(x) = -xcos3x.

$\frac{d}{dx}(-xcos3x)= (-x)(-3sin3x) + (-1)(cos3x)$

Simplify this equation.

$\frac{d}{dx}(-xcos3x)= (x)(3sin3x) - (cos3x)$

Multiply x and 3 together and remove the parentheses.

$\frac{d}{dx}(-xcos3x)= 3x \ sin(3x)- cos(3x)$

Therefore, this is the derivative of the function $f(x)=-xcos3x$ .

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3 years ago

Read 2 more answers