The function h(x) = 5x2 – x – 6 is the result of combining two functions using multiplication.

Which functions could have been combined?

f(x) = 5x – 6 and g(x) = x + 1
f(x) = 5x – 2 and g(x) = x + 3
f(x) = 5x3 + 14x2 – 9x – 18 and g(x) = x + 3
f(x) = 25x3 – 15x2 – 28x + 12 and g(x) = 5x – 2

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- 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. 3- 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 part b?

Solve the compound inequality. graph your solution. 2x – 2 < –12 or 2x + 3 > 7 x < –5 or x > 5 x < –5 or x > 2 x < –12 or x > 2 x < –7 or x > 5

You work for a landscape company that just got a contract to re-mulch a park. the area that needs mulching is 30 feet by 60 feet. they want a 3 inch layer of much on the area. the company has bags of mulch that cover 2 cubic yards that cost $4.00 per bag. how much will it cost the consumer just in materials to re-mulch the area (round to the nearest dollar)?