Find the real solutions, if any, of the equation. Use the quadratic formula.2x2 + 3x - 9 = 0
A. {- , 3}
B. {, 3}
C. {, -3}
D. {- , -3}
Answer: C
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Find the vector projv u.v = 7i - 3j + k, u = -4j + 3k
A. i -
j +
k
B. - j +
k
C. i -
j +
k
D. - j +
k
Solve the problem.Bruce is a retired carpenter who builds patio chairs and dog houses that he sells at the local flea market. It takes him 4 hours to build a dog house and 5 hours to build a patio chair. Bruce can work no more than 40 hours per week and he must produce more dog houses than chairs. Write a system of inequalities to describe this situation and solve the system by graphing. Use D for the number of dog houses and P for the number of patio chairs produced in a week.
A.
B.
C.
D.
Solve the problem. Round to tenths where necessary.P(x) = -x3 + x2 - 60x + 100, x ? 5 is an approximation to the total profit (in thousands of dollars) from the sale of x hundred thousand tires. Find the number of hundred thousands of tires that must be sold to maximize profit.
A. 4.5 hundred thousand B. 5.5 hundred thousand C. 5 hundred thousand D. 4 hundred thousand
Use unit ratios or conversion factors to change to the units indicated. Round to the nearest tenth, if necessary.48.8 qt to liters
A. 51.7 L B. 92.7 L C. 12.7 L D. 46.4 L