Harry is making cookies. He needs 1 3/4 cups of flour for one batch, but he wants to make 1 1/2 batches. Write an equation that can be used to find how many cups of flour Harry will need.

Ahas the coordinates (–4, 3) and b has the coordinates (4, 4). if do,1/2(x, y) is a dilation of △abc, what is true about the image △a'b'c'? check all that apply. ab is parallel to a'b'. do,1/2(x, y) = the distance from a' to the origin is half the distance from a to the origin. the vertices of the image are farther from the origin than those of the pre-image. a'b' is greater than ab.

Aswimming pool has an input pump for filling the pool and an output pump for emptying the pool. the input pump can fill the pool in 3 hours, and the output pump can drain the pool in 5 hours. as you go to bed, the pool is full, but a neighbor’s kid turns on the output pump. at midnight, you awake to find the pool half empty. immediately, you turn on the input pump, but you are sleepy and forget to turn off the output pump. at what time will the pool become full?

The table below represents a linear function f(x) and the equation represents a function g(x): x f(x) −1 −5 0 −1 1 3 g(x) g(x) = 2x − 7 part a: write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points) part b: which function has a greater y-intercept? justify your answer. (4 points)