Use factoring techniques to solve the quadratic equation.x2 - 4x - 12 = 0
A. {-2, -6}
B. {2, -6}
C. {-2, 6}
D. {2, 6}
Answer: C
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Solve the problem.A 2,000-L tank is initially filled with a copper sulfate solution with a concentration of 50 g/L. A copper sulfate solution with a concentration of 20 g/L flows into the tank at a rate of 8 L/min. The thoroughly mixed solution is drained from the tank at a rate of 8 L/min.(a) Write an initial value problem for the mass of the copper sulfate.(b) Solve the initial value problem.
A. (a) m'(t) = 0.004m + 160, m(0) = 50 (b) m = -39,950e0.004t + 320,000 B. (a) m'(t) = -0.004m + 20, m(0) = 50 (b) m = -39,950e-0.004t + 40,000 C. (a) m'(t) = -250m + 160, m(0) = 100,000 (b) m = 60,000e-0.004t + 320,000 D. (a) m'(t) = -0.004m + 160, m(0) = 100,000 (b) m = 60,000e-0.004t + 40,000
Find an equation of the line with the given properties. Express your answer in slope-intercept form. Graph the lines.Passing through (-9, 3) and perpendicular to 9x + 4y = 54
A. y = x + 7
B. y = - x + 3
C. y = - x + 7
D. y = - x + 54
Solve.Jenna read of her book on Monday,
of her book on Tuesday, and
of her book on Wednesday. What part of her book has she read?
A.
B.
C.
D.
Rationalize the denominator and simplify.
A.
B. 13
C.
D. 4