Solve the linear programming problem.Maximize and minimize z = 19x + 14y subject to: x ? 0,
y ? 0,
2x + 3y ? 6,
x ? 10,
y ? 5.
A. maximum: 260; minimum: 190
B. maximum: 70; minimum: 42
C. maximum: 260; minimum: 28
D. maximum: 190; minimum: 42
Answer: C
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Answer the problem.Use the following function and a graphing calculator to answer the questions.f(x) = 
+ 0.9 sin x, [0, 2?]a). Plot the function over the interval to see its general behavior there. Sketch the graph below.
b). Find the interior points where f' = 0 (you may need to use the numerical equation solver to approximate a solution). You may wish to plot f' as well. List the points as ordered pairs (x, y).c). Find the interior points where f' does not exist. List the points as ordered pairs (x, y).d). Evaluate the function at the
endpoints and list these points as ordered pairs (x, y).e). Find the function's absolute extreme values on the interval and identify where they occur. What will be an ideal response?
Answer the question or complete the sentence to make a true statement.Under what condition will the sum of a positive number and a negative number be negative?
What will be an ideal response?
Determine if the function f defined by the set of ordered pairs has an inverse. If so, find the inverse.{(-8, 2), (18, 2), (-10, 13)}
A. {(2, -8), (2, 18), (13, -10)} B. No inverse C. {(2, -8), (-10, 18), (13, 2)} D. {(-8, 2), (2, 18), (13, -10)}
Use synthetic division to divide f(x) by x - c, and then write f(x) in the form f(x) = (x - c)q(x) + r.f(x) = x3 - x2 + 6; x + 2
A. (x + 2)(x2 - 3x + 6) + 2 B. (x + 2)(x2 - 3x + 6) - 6 C. (x + 2)(3x2 - 4x + 2) + 0 D. (x + 2)(x2 + x + 2) - 6