Felicity has 20 thin rods whose lengths, in centimeters are 1, 2, 3 …., 20. Any two rods can be connected at their ends. Felicity selects three rods to make a triangle, then three other rods to make a second triangle and so on. a. Only 1 of Felicity's rods cannot be the side of a triangle. Determine which one.
b. Felicity wants to use 18 rods to form a set of six triangles with equal perimeters. Either find such a set or explain why no such set exists.

G(x) 16g(x) = 2 sin(2x - π) + 4. using complete sentences, explain how to find the minimum value for the function.

Marina baked cookies. she gave 3/4 of the cookies to the scout bake sale. she shared the remaining 6 cookies with her friends. how many cookies did marina bake?

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.