Multiply and simplify. Assume that all variables represent positive real numbers.(6)2

A. 36y2
B. 36
C. 36y
D. 6y2


Answer: C

Mathematics

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Solve triangle ABC. If necessary, round the answer to the nearest tenth.b = 7, c = 11, A = 112°

A. a = 15.1, B = 24°, C = 44° B. a = 18, B = 26°, C = 42° C. No triangle exists. D. a = 20.9, B = 22°, C = 46°

Mathematics

Identify and graph the conic section. Label the center and/or vertex as appropriate. +  = 1

A. ellipse; center (-3, 5);
(6, 5), (-12, 5), (-3, 11), (-3, -1)

B. hyperbola; center (-3, 5);
(-9, 5), (3, 5)

C. hyperbola; center (-3, 5);
(6, 5), (-12, 5)

D. ellipse; center (-3, 5);
(-9, 5), (3, 5), (-3, -4), (-3, 14)

Mathematics

Graph the function using its vertex, axis of symmetry, and intercepts.f(x) = x2 + 12x 

A. vertex (6, -36)
intercepts (0, 0), (12, 0)
 
B. vertex (-6, 36)
intercept (0, 72)

C. vertex (-6, -36)
intercepts (0, 0), (- 12, 0)
 
D. vertex (6, 36)
intercept (0, 72)
 

Mathematics

?With an annual rate of inflation of 4% over the next 10 years, the approximate cost of goods or services during any year in the decade is given by   where t is the time (in years) and P is the present cost. The price of an oil change for a car is presently $24.95. Estimate the price 10 years from now. Round your answer to the nearest cent.  

A. ??$37.09 B. ?$36.93 C. ??$89.00 D. ??$63.90

Mathematics