Question

A mechanic charges a $60 fee plus an additional charge for each hour, x, that your car gets worked on. If the equation used to model this situation is f(x) = 18% + 60, how much would it cost you to have the mechanic work on your car for 3.5 hours?

Answer 1

The product of -4 times the square root of 11 by its conjugate is 44.

Step-by-step explanation:

To find the product of -4 times the square root of 11 by its conjugate, we will use the formula for the difference of squares. The conjugate of a number is obtained by changing the sign of the second term. So, the conjugate of the square root of 11 is -√11.

Multiplying -4√11 by its conjugate, -√11, results in (-4√11)(-√11) = 4√11(√11) = 4√11 × √11 = 4 × 11 = 44.

Therefore, when you multiply -4√11 by its conjugate, you get 44.