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2 years ago

Identify the conclusion of the statement.

Mathematics

1 answer:

Marina CMI [18]2 years ago

6 0

Answer:

D) The slope of the line is undefined

Step-by-step explanation:

A vertical line will have an undefined slope, because it does not run horizontally.

To find the slope, you calculate it with rise over run, however, a vertical line will not run horizontally, meaning the run is 0.

And, dividing anything by 0 will get you an undefined answer.

So, D is correct. the slope of the line is undefined

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Alex_Xolod [135]

Answer: 149 cartridges will be sold at 20 dollars per cartridge.

Step-by-step explanation:

Given: The projected sales volume of a video game cartridge is given by the function $s(p)=\dfrac{3000}{2p+a}$ , where s is the number of cartridges sold, in thousands; p is the price per cartridge, in dollars; and a is a constant.

Put s(p)=100000, p= 10, we get

$100000=\dfrac{3000}{2(10)+a}\\\\\Rightarrow\ 100=\dfrac{3}{20+a}\\\\\Rightarrow\ 100(20+a)=3\\\\\Rightarrow\ 2000+100a=3\\\\\Rightarrow\ 100a=-1997\\\\\Rightarrow\ a=-19.97$

i.e. $s(p)=\dfrac{3000}{2p-19.97}$

Put p=20, we get

$s(20)=\dfrac{3000}{2(20)-19.97}\\\\=\dfrac{3000}{40-19.97}\\\\=\dfrac{3000}{20.03}\approx149$

Hence, 149 cartridges will be sold at 20 dollars per cartridge.

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2 years ago