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