Suppose you have 30 yards of fencing to enclose the L-shaped yard with dimensions as shown. The yard’s area as a function of dimension x is A = −5x2 + 30x. Find the yard’s maximum area and the value of dimension x that results in the maximum area. Fencing yard A = A yards2 x = B yards

Prove that 3: 8 is equivalent to 12: 32.a. use diagrams to support your answer.

Explain why the function is discontinuous at the given number a. (select all that apply.) f(x) = 1 x + 1 a = −1 f(−1) is undefined. lim x→−1+ f(x) and lim x→−1− f(x) exist, but are not equal. lim x→−1 f(x) does not exist. f(−1) and lim x→−1 f(x) exist, but are not equal. none of the above

Jose bought 20 shares of netflix at the close price of $117.98. in a few years, jose sells all of his shares at $128.34. how much money did jose make? a.) $192.50 b.) $207.20 c.) $212.50 d.) $224.60