Company a charges a fee of $5 for a cab ride, plus a charge of $0.50 for each mile driven. company b charges a fee of $10 for a cab ride, plus a charge of $0.10 for each mile driven. for what number of miles driven will the cost of a cab ride be the same for both companies? enter your answer in the box.

12.5 Miles

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