Given f(x) and g(x), find all values of x such that f(x) = g(x).f(x) = 3x2 + 4x; g(x) = 9x + 2

A. 1, 4
B. - 2
C. - , 3
D. -2


Answer: B

Mathematics

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Simplify the numerical expression below.-54 - 47 + 72 + 9 + 30 - 12 

A. –1 B. 22 C. –20 D. –2 E. 200 F. none of these

Mathematics

Refer to the following Chaos game to answer the question(s): Start with a square ABCD in which A is located at (0, 0), B is located at  C is located at (27, 27), and D is located at (0, 27). Then, roll a fair die. We will say that A is the "winner" if we roll a 1, B is if we roll a 2, C is if we roll a 3, and D is if we roll a 4. If we roll a 5 or 6, we disregard the roll and roll again. Each roll of the die generates a point inside or on the boundary of the square according to the following rules.? Start: Roll the die. Mark the "winning" vertex and call it P1.? Step 1: Roll the die again. From P1 move two-thirds of the way straight toward the next winning vertex.

Mark this point and call it P2.? Steps 2, 3, etc.: Continue rolling the die, each time moving to a point two-thirds of the way from the last position to the winning vertex.Refer to the following figure to answer the question.Point S is determined by which of the following sequence of rolls?

A. 1, 1, 3
B. 3, 1, 3
C. 3, 3, 1
D. 1, 3, 3
E. none of these

Mathematics

Provide an appropriate response.Factor completely:  x2 + 14x + 48

Fill in the blank(s) with the appropriate word(s).

Mathematics

Solve.For a hyperbolic mirror the two foci are 38 cm apart. The distance of the vertex from one focus is 3 cm and from the other focus is 35 cm. Position a coordinate system with the origin at the center of the hyperbola and with the foci on the y-axis. Find the equation of the hyperbola.

A.  -  = 1
B.  -  = 5
C.  -  = 5
D.  -  = 1

Mathematics