Solve the inequality.
? 0
A. x < -7 or -7 < x ? 0
B. -7 < x ? 0 or x > 7
C. x < -7 or 0 ? x < 7
D. 0 ? x < 7 or x > 7
Answer: B
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Find the requested composition of functions.Given f(x) = |12 - x| and g(x) = 3x + 8, find (g ? f)(x).
A. |4 + 3x| B. |4 - 3x| C. 3 + 8|12 - x| D. 3|12 - x| + 8
x? = x(0.1? 0.07x ? 0.005y) , y? = y (0.05 ? 0.002x ? 0.0017y) , x (0) = 3, y (0) = 7
For the systems of differential equations, use Euler’s method with ?x = 2 to plot the trajectory of x and y to plot the trajectory for 0 ? t ? 500 .
Find the vertex by completing the square.y = x2 + 3x - 17
A.
B.
C.
D.
If the sides of a triangle are a, b, and c and they satisfy a2 + b2 = c2, the triangle is a right triangle. Determine whether the triangle with the given sides is a right triangle.a = 12, b = 16, c = 20
A. Yes B. No