A photo studio offers portraits in 8 X 10 and wallet-sized formats. One customer bought two 8 x 10 portraits and four wallet-sized portraits
and paid $52. Another customer bought three 8 x 10 portraits and two wallet-sized
portraits and paid $50. What is the cost of an 8 x 10 portrait? What is the cost of a
wallet-sized portrait?
• Can you eliminate a variable simply by adding or subtracting?
• If not, how many of the equations do you need to multiply by a constant?

Each month, a shopkeeper spends 5x + 14 dollars on rent and electricity. if he spends 3x−5 dollars on rent, how much does he spend on electricity? for which value(s) of x is the amount the shopkeeper spends on electricity less than $100? explain how you found the value(s).

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.

Given the median qr and trapezoid mnpo what is the value of x?