Systems by substitution: a phone company offers two monthly plans. plan a costs
$17
plus an additional
$0.17
for each minute of calls. plan b costs
$28
plus an additional
$0.13
for each minute of calls.

The price of an item has been reduced by 30%. the original price was $30. what is the price of the item now ?

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.

Rewrite the following quadratic functions in intercept or factored form. show your work. f(t) = 20t^2 + 14t - 12