Define functions F and G from R to R by the following formulas:
F(x) = (x + 1)(x ? 3) and G(x) = (x ? 2)^2 ? 7.
Does F = G? Explain.
F ?= G: Note that for every real number x,
G(x) = (x ? 2)^2 ? 7 = x^2 ? 4x + 4 ? 7 = x^2 ? 4x ? 3;
whereas
F(x) = (x + 1)(x ? 3) = x^2 ? 2x ? 3:
Thus, for instance,
F(1) = (1 + 1)(1 ? 3) = ?4 whereas G(1) = (1 ? 2)^2 ? 7 = ?6:
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The following table shows the running speed R, in feet per second, of animals of length L, in inches. Use the regression line for the data to estimate the running speed of animals that are 11 inches long. L 3.5 6.3 9.4 9.8 R 8.26 15.79 24.02 24.99? ?
A. 13.89 feet per second B. 28.96 feet per second C. 13.88 feet per second D. 28.24 feet per second
Find 
, 
and 
.
?
and 
?
A. 
B. 
C. 
D. 
Write 
and 
in trigonometric form and then find their quotient.
?
?
?
A. ?
B. ?
C. ?
D. 
E. ?
Identify the indicated entry in matrix A.A = 
; identify a23.
A. 2 B. 5 C. 8 D. 7