Write an equation that represents the transformations formed by the following items (a) horizontally shifting the graph of f(x)= x 4 units to the right and then vertically
shrinking the graph by a factor of =
2
1
(b) vertically stretching the graph of f(x)= Vx by a factor of 3 and then vertically
shifting the graph 4 units down and 2 units right.

Write a function for a rotation 90 degrees counter clockwise about the origin, point 0

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?

Someone answer asap for ! michele pushes a box d meters across a floor. she uses a force f, in newtons, to push the box. she pushes the box for t seconds. the formula p = fd/t calculates the power, p, in watts, that it takes for michele to complete the task. solve the formula for d.