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3 years ago

A company has found that the number of items sold, x, depends upon

Mathematics

1 answer:

lorasvet [3.4K]3 years ago

8 0

Answer: -$480

Step-by-step explanation:

The revenue us P*x

now, when P = $40, we have:

X = 14400 - 3*40^2 = 9600

then the revenue is:

9600*$40 = $384000

now, the price increaces by $2 so the new equation is:

X = 14400 - 3*42^2 = 9108

The revenue is:

9109*$42 = $382536

You can see that the revenua is smaller than before.

Now, if we want to calculate the rate of change when p = $40, we need to look at X'(40)

this is:

X´(p) = -3*2*p

then:

X'(40) = -3*2*40 = -120

Theh rate of change of the revenua will be:

X'(40)*$40 = -120*$40 = -$480

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4 years ago

2x + 3 = x -4 what is the solution to this equation

taurus [48]

Step-by-step explanation:

2x + 3 = x-4

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3 years ago

(All problems are connected with eachother.) Directions: Mr. Clark's backyard vegetable garden is circular, centered at point A,

jonny [76]

Check the picture below. part 1 and 2 are there.

part 3)

$\bf \textit{arc's length}\\\\
s=\cfrac{r\theta \pi }{180}\implies \cfrac{180s}{r\pi }=\theta \qquad 
\begin{cases}
\theta =\textit{angle in degrees}\\
r=radius\\
----------\\
s=12.2\\
r=\sqrt{\frac{315}{\pi }}
\end{cases}
\\\\\\
\cfrac{180\cdot 12.2}{\pi \sqrt{\frac{315}{\pi }}}=\theta \implies 69.8075^o\approx \theta \implies 70^o\approx\theta$

$\bf \textit{area of a sector of a circle}\\\\
A=\cfrac{\theta \pi r^2}{360}\quad 
\begin{cases}
r=\sqrt{\frac{315}{\pi }}\approx 10\\
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3 years ago

A cube has an edge of 2.25 feet. The edge is increasing at the rate of 1.25 feet per hour. Express the volume of the cube as a f

jok3333 [9.3K]

Answer:

$V(h)=(1.25h+2.25)^3$

Step-by-step explanation:

Recall that the volume of a cube is given by:

$\displaystyle V = s^3$

Where s is the side length of the cube.

The edges of the cube has an original length of 2.25 feet. It increases by 1.25 feet per hour. In other words, the length s after h hours can be modeled by the equation:

$s=1.25h+2.25$

Substitute. Hence, our function is:

$V(h)=(1.25h+2.25)^3$

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3 years ago