Solve the polynomial equation. In order to obtain the first root, use synthetic division to test the possible rational roots. 3x3 - 19x2 + 30x - 8 = 0

A.
B.
C.
D.


Answer: D

Mathematics

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Divide. Write the answer as a mixed number as needed.9 ÷ 5

A. 9
B. 45
C. 1
D. 1

Mathematics

Solve the problem.Suppose a projectile is launched from the origin into the first quadrant with an initial velocity v0 feet per second at an angle ? with the horizontal. If the only force acting on the projectile is the force of gravity (with acceleration,  then the horizontal range, R, is given by  A golf ball is hit with an initial velocity of 51 ft/sec with an angle  Find the horizontal range, R, of the ball. Round to the nearest foot.

A. 72 ft B. 64 ft C. 93 ft D. 76 ft

Mathematics

Rotate the axes so that the new equation contains no xy-term. Discuss the new equation.17x2 - 12xy + 8y2 - 68x + 24y -12 = 0

A. ? = 63.4°
 +  = 1
ellipse
center at (, - )
major axis is x'-axis
vertices at (4 + , - ) and (-4 + , - )
B. ? = 63.4°
x'2 = -16y'
parabola
vertex at (0, 0)
focus at (0, -4)
C. ? = 26.6°
 +  = 1
ellipse
center at (0, 0)
major axis is y'-axis
vertices at (0, ±4)
D. ? = 63.4°
 -  = 1
hyperbola
center at (0, 0)
transverse axis is the x'-axis
vertices at (±4, 0)

Mathematics

Determine whether the ordered pair is a solution of the system.(4, 6)  

A. not a solution B. solution

Mathematics