Solve the inequality. Graph the solution on a number line and represent the solution in interval notation when possible.3x + 7 < 22

A. x > 5

(5, ?)
B. x ? 5

[5, ?)
C. x ? 5

(-?, 5]
D. x < 5

(-?, 5)


Answer: D

Mathematics

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Use synthetic division to divide f(x) by x - k for the given value of k. Then express f(x) in the form  for the given value of k.f(x) = 3x4 - 9x3 + 2x2 - 6x; k = 3

A. f(x) = (x + 3)(3x2 + 2x) B. f(x) = (x - 3)(3x3 + x2 - x + 3) + 9 C. f(x) = (x - 3)(3x3 + 2x) D. f(x) = (x + 3)(3x3 + 2x)

Mathematics

Simplify the expression to either 1 or -1.cos  csc (-x)

A. -1 B. 1

Mathematics

Identify any intercepts and test for symmetry. Then sketch the graph of the equation. ? y = 2 - |x| ?

A. x- intercept: (±2, 0)

y- intercept: (0, 2)

y-axis symmetry

??


B. x- intercept: (-2, 0)

y- intercept: (0, 2)

y-axis symmetry


C. x- intercept: (2, 0)

y- intercept: (0, ±2)

y-axis symmetry


D. x- intercept: (2, 0)

y- intercept: (0, 2)

y-axis symmetry


E. x- intercept: (-2, 0)

y- intercept: (0, 2)

y-axis symmetry


Mathematics

Solve.Five divided by the sum of a number and 9, minus the quotient of 3 and the difference of the number and 9 is equal to 6 times the reciprocal of the difference of the number squared and 81. What is the number?

A. 12
B. - 
C. 39
D. -33

Mathematics