The original price of an item, x dollars, is discounted by 15%. a coupon for $2.00 off is applied to the discounted price. given that x is more than $10.00, which of the following functions gives the final price of the item for the given value of x? a. f(x)=0.15x-2.00 b. g(x) =0.15x+2.00 c. h(x)=0.85x-2.00 d. t(x)=0.85x+2.00 e. r(x)=-0.85x+2.00

Δabc is dilated by a scale factor of 3 with the origin as the center of dilation to form δa′b′c′. the slope of is -1.2. the length of is p units, the length of is q units, and the length of is r units. the slope of is . the length of is units.

How do the definitions, properties, and postulates you've learned about line segments, parallel lines, and angles to define the shapes of polygons

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?