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nasty-shy [4]
2 years ago
5

Please help me I need ASAP

Mathematics
1 answer:
gtnhenbr [62]2 years ago
7 0

Answer:

Hope it helps

if you need more explanation, just ask

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The profit function for the first version of the device was very similar to the profit function for the new version. As a matter
NeTakaya

Answer:

a) - Compressing the P(new) function by a scale of 0.5 about the y axis.

- Moving the P(new) function down by 104 units.

b) The two simplified functions for P(original)

-0.08x² + 10.8x – 200.

-0.16x² + 21.6x – 504.

Step-by-step explanation:

Complete Question

An electronics manufacturer recently created a new version of a popular device. It also created this function to represent the profit, P(x), in tens of thousands of dollars, that the company will earn based on manufacturing x thousand devices: P(x) = -0.16x² + 21.6x – 400.

a. The profit function for the first version of the device was very similar to the profit function for the new version. As a matter of fact, the profit function for the first version is a transformation of the profit function for the new version. For the value x = 40, the original profit function is half the size of the new profit function. Write two function transformations in terms of P(x) that could represent the original profit function.

b. Write the two possible functions from part a in simplified form.

Solution

The equation for the new profit function is

P(x) = -0.16x² + 21.6x – 400

At x = 40, the original profit function is half the size of the new profit function

First, we find the value of the new profit function at x = 40

P(x) = -0.16(40)² + 21.6(40) – 400 = 208

Half of 208 = 0.5 × 208 = 104

P(original at x = 40) = P(new at x = 40) ÷ 2

Since we are told that P(original) is a simple transformation of the P(new)

P(original) = P(new)/2 = (-0.16x² + 21.6x – 400)/2 = -0.08x² + 10.8x – 200 ... (eqn 1)

Or, P(original) = 104

-0.16x² + 21.6x – 400 = 104

P(original) = -0.16x² + 21.6x – 400 - 104 = -0.16x² + 21.6x – 504.

So, the two functions that are simple transformations of P(new) to get P(original) are

-0.08x² + 10.8x – 200

Obtained by compressing the P(new) function by a scale of 0.5 about the y axis.

And

-0.16x² + 21.6x – 504.

Obtained by moving the P(new) function down by 104 units.

Hope this Helps!!!

4 0
3 years ago
What is the percent change from 340 to 289?
Finger [1]
The answer is 15%...
7 0
3 years ago
Please put them in order. I will love you if you help me! :) <333
liubo4ka [24]

Answer:

D.) I, II & III

Step-by-step explanation:

You can use the equations to help plus i got it right

Have a Lovely Day!

3 0
2 years ago
Read 2 more answers
Please anyone help!!
12345 [234]
Steps:

Answer: 7000 degrees per second
7 0
1 year ago
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What is is a true statement?
Temka [501]

Answer:

<u>The Second option, all parallelagrams are quadralatterals.</u>

Step-by-step explanation:

because it for 1, makes the most sense, 2 most look like rhombuses which is a tilted square.

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2 years ago
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