Solve by completing the square.x2 = 5 - 8x
A. -1 ±
B. 4 +
C. -4 ±
D. -4 ± 2
Answer: C
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Decompose the fraction into partial fractions.
?
?
A.
B.
C.
D.
E. none of these
For the rational function below (i) Find the intercepts for the graph; (ii) Determine the domain; (iii) Find any vertical or horizontal asymptotes for the graph; (iv) Sketch any asymptotes as dashed lines. Then sketch the graph of y = f(x).f(x) =
A. (i) x intercept: 0; y intercept: 0
(ii) Domain: all real numbers except -1
(iii) Vertical asymptote: x = -1; horizontal asymptote: y = 1
(iv)
B. (i) x intercept: 0; y intercept: 0
(ii) Domain: all real numbers except 1
(iii) Vertical asymptote: x = 1; horizontal asymptote: y = 1
(iv)
C. (i) x intercept: 2; y intercept: 2
(ii) Domain: all real numbers except 1
(iii) Vertical asymptote: x = 1; horizontal asymptote: y = 1
(iv)
D. (i) x intercept: -2; y intercept: 2
(ii) Domain: all real numbers except -1
(iii) Vertical asymptote: x = -1; horizontal asymptote: y = 1
(iv)
Solve the problem.During a hurricane evacuation from the east coast of Georgia, a family traveled west. For part of the trip, they averaged
but as the congestion got bad, they had to slow to
If the total time of travel was 6 hours, how many miles did they drive at the reduced speed?
A. 50 mi B. 55 mi C. 65 mi D. 60 mi
Give all possible rational zeros for the polynomial.f(x) = 26x7 + 104x3 + 2x - 13
A. ±1, ± , ±13, ±
, ±
B. ±1, ± , ±2, ±
, ±13, ±26
C. ±1, ± , ±13, ±
, ±
, ±
D. ±1, ±13, ±