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3 years ago

The quadratic function f(x)=2x^2-24x+c has two zeros that differ by 18. Find the value of c.

1 answer:

7 0

For this case we have the following function:
f (x) = 2x ^ 2-24x + c
We set zero to find the roots of the function.
  We have then:
  2x ^ 2-24x + c = 0
  x ^ 2-12x + c / 2 = 0
  Factoring we have:
  (x - / + x1) (x - / + x2) = 0
  On the other hand we have:
  x2-x1 = 18
  x2 + x1 = -12
  Solving the system we have:
  x1 = -15
  x2 = 3
  Substituting we have:
  (x-15) (x + 3) = 0
  Rewriting:
  x ^ 2 -12x - 45 = 0
Therefore, the value of c is given by:
  c / 2 = -45
  c = -90
  Answer:
  the value of c is:
c = -90

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<u>True</u>

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3 years ago

You are evaluating a project that will cost $500,000, but is expected to produce cash flows of $125,000 per year for 10 years, w

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Answer:

1. 4 years

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Explanation:

Payback period calculates the amount of time to recoup the total investment made on a project. It calculates how long the cash flows generated from a project would cover the cost of the project.

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In the first year, the cost of the project is reduced by $125,000 and becomes $375,000.

In the second year, the cost of the project is reduced by $125,000 and becomes $250,000.

In the third year, the cost of the project is reduced by $125,000 and becomes $125,000.

In the fourth year, the cost of the project is reduced by $125,000 and becomes $0.

The cost of the project is totally recouped in the 4th year. therefore, the payback period is 4 years.

But the company has a preferred payback period of 3 years ,therefore , the firm won't undertake the project because the payback period is more than 3 years.

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3 years ago

All Wet Water Softener Systems has Cash of $400?, Accounts Receivable of $1,000?, and Office Supplies of $600. All Wet owes $300

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Answer:

D. 5.00

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3 years ago

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3 years ago

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Answer:

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