HELP PLZZ I BEEGG YOUU PLZ GET THIS RIGHT Simplify: (x to the power of 2 plus 3x - 4) plus (2x to the power of 3 mines 2x plus 5)

A. 2x to the power of 3 plus x to the power of 2 plus x plus 1
B. 3x to the power of 5 plus x plus 1
C. 3x to the power of 3 plus x plus 1
D. 2x to the power of 3 plus x to the power of 2 plus x - 9

The length of a rectangle is x times the square root of 100. the width is one-half y more than three-halves x. given that the area of the rectangle is 125 cm2, which equation could represent the rectangle in terms of x and y? a) 5xy − 15x = 125 b) 5xy + 15x = 125 c) 15x2 − 5xy = 125 d) 15x2 + 5xy = 125

What is the quotient of m^6/5 ÷ 5/m^2? assume m does not equal pl

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?