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3 years ago

6

Paul works for a company that deals in paints and dyes. He is paid a fixed monthly salary plus 15 percent commission on monthly

sales over $20,000.

1 answer:

Artemon [7]3 years ago

4 0

If x is the sales amount over $20,000, the function g(x) giving Paul's commission is <span>0.15x</span>

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murzikaleks [220]

Answer:

B

Step-by-step explanation:

The rulers tell you the length of the sides

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2 years ago

Question 16 (5 points)

enyata [817]

Your answer should be 42

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3 years ago

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Gorden made 32 cookies which of the answer choices shows all the factor pairs of 32

faltersainse [42]

32 = 1 x 32, 2 x 16, or 4 x 8. Factors of 32: 1, 2, 4, 8, 16, 32

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2 years ago

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Factor the expression:

Dovator [93]

Answer:

B) (4x-5i)(4x+5i)

Step-by-step explanation:

The expression can be treated as the difference of squares, and factored accordingly. That factoring is ...

a² -b² = (a -b)(a +b)

__

Here, we have ...

a² -b² = 16x² -(-25)

a² = 16x² ⇒ a = 4x

b² = -25 ⇒ b = √-25 = 5i

Then the factoring is ...

(a -b)(a +b) = (4x -5i)(4x +5i)

6 0

2 years ago

Establish for which constants c the following function is a density.

Valentin [98]

By "density" I assume you mean "probability density function". For this to be the case for $f(x)$ , we require

$\displaystyle\int_{-\infty}^\infty f(x)\,\mathrm dx=1$

Since

$f(x)=\begin{cases}cx^{1/2}&\text{for }0$

you have

$\displaystyle\int_{-\infty}^\infty f(x)\,\mathrm dx=\int_0^2cx^{1/2}\,\mathrm dx=\dfrac{2c}3x^{3/2}\bigg|_{x=0}^{x=2}=\dfrac{2^{5/2}c}3=1$

which means

$c=\dfrac3{2^{5/2}}=\dfrac3{4\sqrt2}$

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2 years ago