Factor completely. If the polynomial cannot be factored, write "prime."18x3 - 78x2 - 60x
A. (x2 - 5)(18x + 12)
B. x(3x + 2)(6x - 30)
C. 6x(3x + 2)(x - 5)
D. 6(3x - 2)(x + 5)
Answer: C
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Solve the logarithmic equation.log2(-2 - 3x) = 2
A.
B.
C. {-2}
D. {2}
Solve the problem.The motion of a projectile that is fired at a 45° angle with the horizontal is given by x = v0t,
for t in
Suppose a projectile is fired with an initial velocity of 450 feet per second at an angle of 45° with the horizontal. Find (a) the time when it reaches maximum altitude (b) the maximum altitude.
A. (a) 39.8 sec (b) 3164 ft B. (a) 9.9 sec (b) 1582 ft C. (a) 19.9 sec (b) 6328 ft D. (a) 19.9 sec (b) 1582 ft
A man roller-blades at a rate 5 miles per hour faster than he jogs. In the same time it takes him to roller-blade 6 miles he can jog 3 miles. How fast does he jog?
A. 4 mph B. 3 mph C. 5 mph D. 1 mph E. 2 mph
Two similar triangles are given. Find the proportionality constant k such that the length of each side of the larger triangle is k times the length of the sides of the smaller triangle. Then find the length of the missing sides of each triangle.
A. k = 7.5; JL = 54, MN = 3 B. k = 4.5; JL = 36, MN = 4 C. k = 6; JL = 54, MN = 4 D. k = 3.6; JL = 36, MN = 5