Factor the trinomial completely. If the polynomial cannot be factored, write "prime."a3b2 + 13a2b + 36a
A. a(ab - 4)(ab - 9)
B. a(ab + 4)(ab + 9)
C. a(a2b2 + 13ab + 36)
D. a5(b + 4)(b + 9)
Answer: B
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Find the slope of the curve at the point indicated.y = 5x4, x = -2
A. -32 B. -160 C. 320 D. -40
Solve the system of equations. x - y + 4z = -53x + z = -2 x + 4y + z = -14
A. ? B. {(-2, -3, 0)} C. {(0, -3, -2)} D. {(-2, 0, -3)}
Solve the problem.The flow rate r (in gallons per minute) of water from the nozzle of a firefighter's hose can be modeled by the formula r = 30d2
where d is the nozzle diameter (in inches) and P is the nozzle pressure (in pounds per square inch). If the nozzle pressure is 144 pounds per square inch, use the model to estimate the flow rate of water for a nozzle diameter of 1.5 inches.
A. 6480 gal/min B. 9720 gal/min C. 810 gal/min D. 540 gal/min
Find the slope and the vertical-axis intercept for the equation. Assume that the output variable is on the left.
D = 385 + 55t A) The slope is -385 and the vertical-axis intercept is 55. B) The slope is 385 and the vertical-axis intercept is 55. C) The slope is 55 and the vertical-axis intercept is 385. D) The slope is 55 and the vertical-axis intercept is -385. E) The slope is -55 and the vertical-axis intercept is 385.