4 Talia plays a board game with a friend. She uses a frequency table to record the results
for each roll of a standard die.
Number
Rolled
Frequency
1
N
II
+
3
4
5
6
Based on the data in the frequency table,
what is the probability of rolling a five on the
next roll?
5
30
13
8
10
13

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.

When is g(x) = 0 for the function g(x) = 5.23x + 4?

Factor and solve to find roots x squared -x - 90 =0