Solve by completing the square.x2 = 5 - 8x

A. -1 ± 
B. 4 + 
C. -4 ± 
D. -4 ± 2


Answer: C

Mathematics

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Decompose the fraction into partial fractions. ? ?

A.
B.
C.
D.
E. none of these

Mathematics

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)

Mathematics

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

Mathematics

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, ± 

Mathematics