In the diagram below of triangle TUV, W is the midpoint of TV and X is the midpoint of UV If m <VUT = 96 + 3x, and m <VIW = 80 + 7x, what is the measure of <VUT?​

Rita wants to buy sweater that was originally priced at $25 today the sweater is on sale for 40% off the original price what is the sale price of the sweater. rita has a coupon for an addition 10% off the sale price. how much will rita pay for the sweater before taxes

James wants to promote his band on the internet. site a offers website hosting for $4.95 per month with a $49.95 startup fee. site b offers website hosting for $9.95 per month with no startup fee. for how many months would james need to keep the website for site a to be a better choice than site b? define a variable for the situation. write an inequality that represents the situation. solve the inequality to find out how many months he needs to keep the website for site a to be less expensive than site b. using words, describe how many months he needs to keep the website for site a to be less expensive than site b.

Does the function satisfy the hypotheses of the mean value theorem on the given interval? f(x) = 4x^2 + 3x + 4, [−1, 1] no, f is continuous on [−1, 1] but not differentiable on (−1, 1). no, f is not continuous on [−1, 1]. yes, f is continuous on [−1, 1] and differentiable on (−1, 1) since polynomials are continuous and differentiable on . there is not enough information to verify if this function satisfies the mean value theorem. yes, it does not matter if f is continuous or differentiable; every function satisfies the mean value theorem.