Billie needs to have her refrigerator repaired. she contacts two appliance repair companies and is given the rates shown in the table. Write and solve an inequality to find the number of hours for which Ace's charge is less than or the same as Acme's charge (ANSWER ASAP FINAL EXAM) Acme's repair: $49 Flat free charge and $22.50 Charge per hour
Ace repair: $0 Flat Free Charge and $ 34.75 Charge per hour

The width of a rectangle is 20 units. can the perimeter p of the rectangle be 64 units when its length x is 11 units? no, because p = 2x + 2(20) no, because p ≠ 2x + 2(20) yes, because p ≠ 2x + 2(20) yes, because p = 2x + 2(20)

1- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis.2- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in the first question?

Parabolas y=−2x^2 and y=2x^2 +k intersect at points a and b that are in the third and the fourth quadrants respectively. find k if length of the segment ab is 5.