Solve the problem.The inequality |T - 38| ? 17 describes the range of monthly average temperatures T in degrees Fahrenheit at a City X. (i) Solve the inequality. (ii) If the high and low monthly average temperatures satisfy equality, interpret the inequality.

A. 15 ? T; The monthly averages are always greater than or equal to 
B. 15 ? T ? 61; The monthly averages are always within 
C. 21 ? T ? 55; The monthly averages are always within 
D. T ? 55; The monthly averages are always less than or equal to 


Answer: C

Mathematics

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Use the linear approximation (1 + x)k ? 1 + kx, as specified.Find an approximation for the function f(x) = (1 - x)5 for values of x near zero.

A. f(x) ? 1 - 5x B. f(x) ? 5 + 5x C. f(x) ? 1 + 5x D. f(x) ? 1 + 6x

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Solve the problem.The acceleration, a = d2s/dt2 , initial velocity v = ds/dt and initial position of a body moving along a coordinate line are given below. Find the body's position at time t. a = e2x; v(0) = , s(0) = 

A. s = e2x + 6x + 3
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Mathematics

Solve the system of equations using matrices. Use Gauss-Jordan elimination.  x + y - z + w = -5  3x - y + 3z - 2w = 7-2x + 2y + z - w =16  -x - 2y - 3z + 3w = -22

A. {(-2, -3, 5, )}
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Mathematics