Ben made up a recursive formula and used it to generate a sequence. he used b(n) to stand for the nth term of his
recursive sequence.
a. what does b(3) mean?
b. what does b(m) mean?
c. if b(n + 1) = 33 and b(n) = 28, write a possible recursive formula involving b(n + 1) and b(n) that would generate 28 and 33 in the sequence.
d. what does 2b(7) + 6 mean?
e. what does b(n) + b(m) mean?
f. would it necessarily be the same as b(n + m)?
g. what does b(17) − b(16) mean?

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.

Acoffee shop orders at most $3,500 worth of coffee and tea. the shop needs to make a profit of at least $1,900 on the order. the possible combinations of coffee and tea for this order are given by this system of inequalities, where c = pounds of coffee and t = pounds of tea: 6c + 13t ≤ 3,500 3.50c + 4t ≥ 1,900 which graph's shaded region represents the possible combinations of coffee and tea for this order?

Edger needs 6 cookies and 2 brownies for every 4 plates how many cookies and brownies does he need for 10 plates