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hodyreva [135]
3 years ago
10

For question 15-16, find the value of x that would prove y || z. State the conserve used to support your answer.

Mathematics
1 answer:
Nezavi [6.7K]3 years ago
5 0

Answer:

There is not enough information, but in any case, rephrase.

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A cookie company packages its cookies in rectangular prism boxes designed with square bases that have both a length and width of
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Answer:

h³- 8h² + 16h

Step-by-step explanation:

The problem tells us that the length and width of these boxes are both 4 inches less than the height of the box.

So if we name <u>h the height of the box</u>, the <u>width of the box would be h - 4 </u>and the <u>height of the box would be h - 4.</u>

Now, the volume  of a rectangular prism is given by V = height x width x length

So, considering the values we have in this problem we get:

V= height x width x volume

V = h (h-4)(h-4)

V= h(h-4)²

V= h (h²-8h + 16)

V = h³- 8h² + 16h

Therefore, the polynomial representing the volume of this box in terms of the height is h³- 8h² + 16h

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TeeVee Electronics, Inc., makes console and wide-
Tom [10]

Answer:

First we need to put all the given information in a table, that way we'll express it better into inequalities.

                                     Cost      Production Max.

Console screen (x)      $600              450

Wide-screen (y)           $900              200

                                 $360,000

We have:

600x+900y \leq 360,000

Because they can't spend more than $360,000 in production.

x\leq 450\\y\leq 200

Because the number of television is restricted.

The profit function is

P(x,y)=125x+200y (this is the function we need to maximize).

First, we need to draw each inequality. The image attached shows the region of solution, which has vertices (0,200), (300,200), (450, 100) and (450,0).

Now, we test each point in the profit function to see which one gives the highest profit.

For (300,200):

P(300,200)=125(300)+200(200)=37,500+40,000=77,500

300 console screen and 200 wide screen give a profit of $77,500.

For (450,100):

P(450,100)=125(450)+200(100)=56,250+20,000=76,250

450 console screen and 100 wide screen give a profit of $76,250.

<h3>Therefore, to reach the maximum profits, TeeVee Electronic, Inc., must produce 300 console screen televisions and 200 wide-screen televisions to profit $77,500,</h3>

4 0
3 years ago
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