What is the first step when rewriting y = –4x2 + 2x – 7 in the form y = a(x – h)2 + k? 2 must be factored from 2x – 7
–4 must be factored from –4x2 + 2x
x must be factored from –4x2 + 2x
–4 must be factored from –4x2 – 7

Acompany wants to reduce the dimensions of its logo by one fourth to use on business cards. if the area of the original logo is 4 square inches, what is the area of the logo that will be used on the business cards?

Arecent study focused on the number of times men and women who live alone buy take-out dinner in a month. assume that the distributions follow the normal probability distribution and the population standard deviations are equal. the information is summarized below. statistic men women sample mean 24.85 21.33 sample standard deviation 5.54 4.93 sample size 34 36 at the 0.01 significance level, is there a difference in the mean number of times men and women order take-out dinners in a month? state the decision rule for 0.01 significance level: h0: μmen= μwomen h1: μmen ≠ μwomen. (negative amounts should be indicated by a minus sign. round your answers to 3 decimal places.) compute the value of the test statistic. (round your answer to 3 decimal places.) what is your decision regarding the null hypothesis? what is the p-value? (round your answer to 3 decimal places.)

Drag the tiles to the boxes to form correct pairs. not all tiles will be used. match the circle equations in general form with their corresponding equations