step 1: |x − 5| + 2 = 5
step 2: |x − 5| = 5 − 2
step 3: |x − 5| = 3

which of the following is a correct next step to solve the equation?

x + 5 = −3
−x − 5 = 3
x − 5 = −3
x + 5 = 3

Find the zeros of the function. write the smaller solution first, and the larger solution second f(x)= (x+6)^2-49

(a) compute the maclaurin polynomial m2(x) for f(x) = cos x. (b) use the polynomial of part (a) to estimate cos π 12. (c) use a calculator to compute the error made using the estimate from part (b) for the value of cos π 12. remember that the error is defined to be the absolute value of the difference between the true value and the estimate.

Abby is preparing fruit punch for her party. she starts with a bowl filled with liquid that has 1/2 fruit juice and 1/2 sprite, but she decides it's too fruity. so she pours out 1/4 of the liquid, and then fills the bowl up again with sprite. what fraction of the punch is now sprite?