Sara's new job pays $15 per hour. For the job, she must buy a uniform for $33, which will be taken out of her first paycheck. a) Write a function to find the first paycheck and graph it on graph paper. (Make sure to use function notation)

b) What do x and f(x) represent in the context of this function?

c) Write the inverse function, showing all 4 steps, then graph it on the same coordinate plane as part a.

d) What do x and f-1(x) represent in the context of the inverse function?

Girardo is using the model below to solve the equation . girardo uses the following steps: step 1 add 4 negative x-tiles to both sides step 2 add 1 negative unit tile to both sides step 3 the solution is which step could be adjusted so that gerardo's final step results in a positive x-value? in step 1, he should have added 4 positive x-tiles to both sides. in step 1, he should have added 3 negative x-tiles to both sides. in step 2, he should have added 4 negative unit tiles to both sides. in step 2, he should have added 1 positive unit tile to both sides.

Elizabeth claims that the fourth root of 2 can be expressed as 2^m since (2^m)^n = 2. find the values of m and n for the case where elizabeth's claim is true.

Find the perimeter of the triangle with vertices  d(3, 4),  e(8, 7), and  f(5, 9). do not round before calculating the perimeter. after calculating the perimeter, round your answer to the nearest tenth.