To add polynomials distribute to eliminate parentheses then combine like terms.
This gives choice C as the answer.
Maya C.
asked 01/20/22A company has two electric motors that consume varying amounts of power. The power consumed by each motor is a function of the time (t in minutes) for which it runs. The cost of power (in $) to run one motor is given by the function `C_a(t) = t^2 - 2t + 5`. The cost of running the second motor is given by `C_b(t) = 3t + 2`. Which function gives the total cost of running both motors?
A.
`C(t) = 3t^3 - 6t^2 + 15t`
B.
`C(t) = 2t^2 - 4t + 10`
C.
`C(t) = t^2 + t + 7`
D.
`C(t) = 3t^3 + 6t^2 - 15t`
To add polynomials distribute to eliminate parentheses then combine like terms.
This gives choice C as the answer.
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