If you apply the changes below to the reciprocal parent function, F(x)=1/x what is the equation of the new function ? horizontally stretch by multiplying by 1/6
translate5 units right

A. j(x)=1/6(x-5)
B. G(x)=6/x -5
C. H(x)=1/6x -5
D. k(x)=6/x-5

Compare these two waves: the blue and orange waves have the same pitch, but the blue wave is louder. the blue and orange waves have the same volume, but the blue wave has a higher pitch. the orange wave has a higher pitch, but the blue wave is louder. the blue wave has a higher pitch, but the orange wave is louder.

How many solutions does the nonlinear system of equations graphed below have?

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?