Solve the problem using two linear equations in two variables and Cramer's rule.Two different gasohol mixtures are available. One contains 5% alcohol and the other 12% alcohol. How much of each should be mixed to obtain 500 gal of gasohol containing 10% alcohol? (Round to the nearest whole gallon.)
A. 208 gal 5%, 292 gal 12%
B. 25 gal 5%, 60 gal 12%
C. 357 gal 5%, 357 gal 12%
D. 143 gal 5%, 357 gal 12%
Answer: D
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Simplify.(3 + 8)[5 + (2 + 6)]
A. 20 B. 63 C. 143 D. 24
Provide an appropriate response.Determine whether a linear or quadratic function would be a more appropriate model for the graphed data. If linear, tell whether the slope should be positive or negative. If quadratic, decide whether the coefficient of x2 should be positive or negative. DENTAL FLOSS USE 
Years since 2000
A. Quadratic; negative B. Linear; positive C. Linear; negative D. Quadratic; positive
Write each inequality in interval notation and graph the interval on a number line.x < 2
A. (-?, 2)
B. [2, ?)
C. (-?, 2]
D. (2, ?)
Solve the problem.The production function for a certain country is z = x0.6y0.7, where x stands for units of labor and y for units of capital. At present, x is 40 and y is 54. Use differentials to estimate the change in z if x becomes 43 and y becomes 58.
A. 14.46 B. 12.52 C. 16.69 D. 14.76