Solve the problem. Express answers relative to an x'y'-system in which the given equation has no x'y'-term.24xy - 7y2 + 36 = 0; Find the equations of the asymptotes.

A. y' = -  and y' = 
B. y' = - x' and y' = x'
C. y' = - x' and y' = x'
D. y' = - x' and y' = x'


Answer: C

Mathematics

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Decide whether vertex A of the network is even or odd.

A. Odd B. Even

Mathematics

According to estimates by Paul Kroger Associates, the percent of households that own VCRs is given by  where t is measured in years, with t = 0 corresponding to the beginning of 1985. What percent of households owned VCRs at the beginning of 1985? At the beginning of 1990? ?

A. 5.0%;   33.6% B. 5.0%;   34.3% C. 34.3%;   65.0% D. 2.9%;   32.9%

Mathematics

For the given functions f and g, find the requested function.f(x) = 5x + 1; g(x) = 6x - 1Find (x).

A. (x) = , where x ? - 
B. (x) = , where x ? - 
C. (x) = , where x ? - 
D. (x) = , where x ? 

Mathematics

Answer the question or provide the appropriate response.Which of the following methods may be used to show that there cannot be two real numbers that have a difference of 5 and a product of -25? (More than one method may be correct.)(i) Graph the function y = x2 - 5x + 25 and observe that the graph has no x-intercepts.(ii) Determine that the discriminant of the equation x2 - 5x + 25 = 0 is negative.(iii) Graph the function y = x2 - 5x + 25 and observe that the vertex lies above the x-axis.(iv) Graph the functions y1 = x2 - 5x and y2 = 25 and observe that these graphshave no points of intersection.

A. (i) only B. (i), (ii), (iv) C. (i), (ii), (iii), (iv) D. (i), (iv)

Mathematics