Write the function as a product of linear and irreducible quadratic factors, all with real coefficients.f(x) = 2x3 + 13x2 + 11x + 30
A. (x - 6)(2x2 + x + 5)
B. (x - 6)(2x2 + x + -5)
C. (x + 6)(2x2 + x + -5)
D. (x + 6)(2x2 + x + 5)
Answer: D
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Provide an appropriate response.For approximately what values of x can sin x be replaced by 
with an error of magnitude no greater than 
?
A. |x| < 0.56968 B. |x| < 0.49492 C. |x| < 0.33098 D. |x| < 0.41289
Solve the problem.A projectile is fired from a height of 9.7 feet with an initial velocity of 124 ft/sec at an angle of 54° with the horizontal. The parametric equations for the path of the projectile are x = (124 cos 54°)t, and y = 9.7 + (124 sin 54°)t - 16t2,where x and y are in feet and t is in seconds. How long does it take the projectile to hit the ground? Round your answer to the nearest tenth of a second.
A. 12.7 seconds B. 6.3 seconds C. 6.4 seconds D. 8.1 seconds
Write the decimal number that represents the shaded part. 
A. 15.25 B. 3.75 C. 12.75 D. 3.25
Solve the problem.To measure the width of a river, a surveyor starts at point A on one bank and walks 70 feet down the river to point B. He then measures the angle ABC to be 
Estimate the width of the river to the nearest foot. See the figure below. C
A70 ftB
A. 66 ft B. 25 ft C. 186 ft D. 26 ft