Provide an appropriate response.Find a quadratic function f having x-intercepts -9 and -2 and y-intercept 6
A. f(x) = x2 + 11x + 18
B. f(x) = x2 -
x + 6
C. f(x) = x2 +
x + 6
D. f(x) = x2 + 5x + 6
Answer: C
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Solve the problem.A tank initially contains 100 gal of brine in which 40 lb of salt are dissolved. A brine containing of salt runs into the tank at the rate of 4 gal/min. The mixture is kept uniform by stirring and flows out of the tank at the rate of 3 gal/min. Find the solution to the differential equation that models the mixing process.
A. y = 2(100 + t) -
B. y = 2(100 + t) -
C. y = 4(50 + t) -
D. y = 4(50 + t) -
Find the limit if it exists.(x + 1)2(x - 3)3
A. -1125 B. -125 C. 9 D. 1
Find the value of the indicated trigonometric function of the angle ? in the figure. Give an exact answer with a rational denominator.Find sin ?.
A. sin ? =
B. sin ? =
C. sin ? =
D. sin ? =
Approximate the coordinates of each turning point by graphing f(x) in the standard viewing rectangle. Round to the nearest hundredth, if necessary.f(x) = 2x3 - 6x2 - 2x + 5
A. (-0.35, 4.88) and (1.15, -2.19) B. (-1, -1) and (0.15, 4.57) C. (-0.15, 5.16) and (2.15, -7.16) D. (0, 5) and (2, -7)