Darnell and Stephanie have competing refreshment stand businesses. Darnell's profit can be modeled with the polynomial c? + 8C – 100,
where c is the number of items sold. Stephanie's profit can be modeled
with the polynomial 2c? – 70 - 200.
a. Write a polynomial that represents the difference between Stephanie's
profit and Darnell's profit.
b. Write a polynomial to show how much they can expect to earn if they
decided to combine their businesses.

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step-by-step explanation:

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x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

the answer is 1/4

step-by-step explanation: