Decide whether the following is an expression or an equation.6(6x + 2) - 3(3x - 2)
A. Equation
B. Expression
Answer: B
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Express the limit as a definite integral.
?xk; [-1, 1]
A. 
B. 
C. 
D. 
Use the two steps for solving a linear programming problem to solve the problem.An airline with two types of airplanes, P1 and P2, has contracted with a tour group to provide transportation for a minimum of 400 first class, 750 tourist class, and 1500 economy class passengers. For a certain trip, airplane P1 costs $10,000 to operate and can accommodate 20 first class, 50 tourist class, and 110 economy class passengers. Airplane P2 costs $8500 to operate and can accommodate 18 first class, 30 tourist class, and 44 economy class passengers. How many of each type of airplane should be used in order to minimize the operating cost?
A. 5 P1 planes and 17 P2 planes
B.
| 9 P1 planes and 13 P2 planes |
C. 11 P1 planes and 7 P2 planes
D. 7 P1 planes and 11 P2 planes
Solve the problem.One Internet service provider has the following rate schedule for high-speed Internet service:Monthly service charge$18.001st 50 hours of usefreeNext 50 hours of use$0.25/hourOver 100 hours of use$1.00/hourWhat is the charge for 50 hours of high-speed Internet use in one month?What is the charge for 75 hours of high-speed Internet use in one month?What is the charge for 135 hours of high-speed Internet use in one month?
Fill in the blank(s) with the appropriate word(s).
Solve the problem.A small-appliance manufacturer has plants in Baltimore and Philadelphia, each of which produces toasters and blenders. The Baltimore plant can produce at most 800 appliances in one day at a cost of $12 per toaster and $15 per blender. The Philadelphia plant can produce at most 500 appliances in one day at a cost of $10 per toaster and $20 per blender. A rush order is received for 600 toasters and 300 blenders. The manufacturer will choose the number of toasters and blenders produced at each plant in order to minimize costs.(a) Name in words the four quantities that must be determined.(b) Express the four quantities in (a) algebraically using only the two variables, x and y.(c) Write the complete system of inequalities (in terms of x and y) needed to solve the
problem.(d) Write the objective function in terms of x and y. What will be an ideal response?