Consider the steps for solving 3x2 – 42x + 9 = -5 for x by completing the square.
Step 1: 3x² – 42x = -14
Step 2:3(x² – 14x) = -14
Step 3: 3(x^2 – 14x + 49) = -14+__
What number should be added to the right side of the equation?
A) 96
B) 147
C) 225
D) 441

The probability that a college student belongs to a health club is 0.3. the probability that a college student lives off-campus is 0.4. the probability that a college student belongs to a health club and lives off-campus is 0.12. find the probability that a college student belongs to a health club or lives off-campus. tip: p(a or b) = p(a) + p(b) - p(a and b) 0.54 0.58 0.70 0.82

Suppose that the price p (in dollars) and the weekly sales x (in thousands of units) of a certain commodity satisfy the demand equation 4p cubedplusx squaredequals38 comma 400. determine the rate at which sales are changing at a time when xequals80, pequals20, and the price is falling at the rate of $.20 per week.

Which function has the domain x> -11