The local Toyota dealership pays an average of $9,260 with a standard deviation of $1099 for

Mathematics

1 answer:

Karolina [17]2 years ago

7 0

The first one

Explain:

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Zinaida [17]

$25.75 is how much money she saved up each week

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3 years ago

Factor completely x3 – 8

Travka [436]

Answer: (x-2) (x^2 + 2x + 4)

Step-by-step explanation:

x^3 - 8

x^3 - 2^3

(x-2) * (x^2+x * 2 + 2^2)

(x-2) (x^2 + 2x + 4)

3 0

3 years ago

Calculate the total area of the shaded region.

LUCKY_DIMON [66]

so hmmm seemingly the graphs meet at -2 and +2 and 0, let's check

$\stackrel{f(x)}{2x^3-x^2-5x}~~ = ~~\stackrel{g(x)}{-x^2+3x}\implies 2x^3-5x=3x\implies 2x^3-8x=0 \\\\\\ 2x(x^2-4)=0\implies x^2=4\implies x=\pm\sqrt{4}\implies x= \begin{cases} 0\\ \pm 2 \end{cases}$

so f(x) = g(x) at those points, so let's take the integral of the top - bottom functions for both intervals, namely f(x) - g(x) from -2 to 0 and g(x) - f(x) from 0 to +2.

$\stackrel{f(x)}{2x^3-x^2-5x}~~ - ~~[\stackrel{g(x)}{-x^2+3x}]\implies 2x^3-x^2-5x+x^2-3x \\\\\\ 2x^3-8x\implies 2(x^3-4x)\implies \displaystyle 2\int\limits_{-2}^{0} (x^3-4x)dx \implies 2\left[ \cfrac{x^4}{4}-2x^2 \right]_{-2}^{0}\implies \boxed{8} \\\\[-0.35em] ~\dotfill$

$\stackrel{g(x)}{-x^2+3x}~~ - ~~[\stackrel{f(x)}{2x^3-x^2-5x}]\implies -x^2+3x-2x^3+x^2+5x \\\\\\ -2x^3+8x\implies 2(-x^3+4x) \\\\\\ \displaystyle 2\int\limits_{0}^{2} (-x^3+4x)dx \implies 2\left[ -\cfrac{x^4}{4}+2x^2 \right]_{0}^{2}\implies \boxed{8} ~\hfill \boxed{\stackrel{\textit{total area}}{8~~ + ~~8~~ = ~~16}}$

7 0

2 years ago

Write a real word problem that can be represented by the equation 3/4c=21

svetlana [45]

How many 3/4 cups of milk would be needed to make 21 cups of milk for a large recipe?

4 0

3 years ago

How do you prove that lines are similar in triangles if it is parallel? (look at photo)

Ghella [55]

Answer:

they are similar cuz it resembles a "z" pattern. The angles are so the same.

5 0

2 years ago