Question

C(x)=4/3x-11
8[c(15)]

help pls

Answer 1

To solve the student's question, substitute x with 15 in the function c(x) = 4/3x - 11, simplify the expression to obtain c(15), and then multiply that result by 8 to get the final answer.

Step-by-step explanation:

The student is asking how to apply the given function c(x) = 4/3x - 11 for x = 15 and then to multiply that result by 8. This involves two steps: first, substitute x with 15 in the given equation and second, multiply the outcome by 8. So let's calculate it step by step:

1. Substitute x with 15 in the function: c(15) = 4/(3*15) - 11.
2. Solve for c(15): c(15) = 4/45 - 11.
3. Reduce to a common denominator and simplify the expression: c(15) = (4 - 495)/45 which simplifies to c(15) = -491/45.
4. Multiply this result by 8: 8 * (-491/45).
5. The final result is: 8 * (-491/45) = -3928/45 or approximately -87.29 when rounded to two decimal places.