Find the domain of the given rational function: x^2 - 9x + 8/x^2 + 6x - 16 a) (-

Question

Find the domain of the given rational function: x^2 - 9x + 8/x^2 + 6x - 16 a) (-infinity, -8) Union (-8, -2) Union (-2, infinity) b) (-infinity, 2) Union (2, 8) Union (8, infinity) c) (-infinity, -8) Union (-8, 2) Union (2, infinity) d) (-infinity, -2) Union (-2, 8) Union (8, infinity) Find the domain of the given rational function: x^2 - 6x + 9/x^2 - 9 a) (-infinity, -3) Union (-3, 3) Union (3, infinity) b) (-infinity, -8) Union (-8, 1) Union (1, infinity) c) (-infinity, -9) Union (-9, 9) Union (9, infinity) d) (-infinity, -1) Union (-1, 8) Union (8, infinity) The sum of the reciprocal of a number and 3/8 is 7/8. Find the number. a) 4 b) 3 c) 2 d) 1 The product of the reciprocal of a number and 3/8 is 5/8. Find the number as a decimal a) 0.375 b) 0.600 c) 0.625 d) 0.875 y varies directly as x. If y = 10 when x = 1/2, find y when x = 4. a) 80 b) 60 c) 40 d) 20 y varies inversely as x. If y = 16 when x = 5, find y when x = 4. a) 80 b) 60 c) 40 d) 20 y varies directly as the square of x. If y = 16 when x = 2, find y when x - 4. a) 16 b) 32 c) 64 d) 128 y varies inversely as the square of x. If y = 16 when x = 2, find y when x = 8. a) 1/2 b) 1 c) 2 d) 4 The product of two consecutive odd integers is 143. Develop the trinomial equation, solve the equation, and find the two consecutive integers? a)-13, 11 b) -11, 13 c) 12, 12 d) -11, -13

Explanation / Answer

59.

y = kx

if y = 10, then x = 1/2

10 = k*(1/2)

k = 20, So

y = 20*x

when x = 4, then y will be

y = 20*4 = 80

Correct option is A.

60.

y = k/x

if y = 16, then x = 5

16 = k/5

k = 80, So

y = 80/x

when x = 4, then y will be

y = 80/4 = 20

Correct option is D.

61.

y = k*x^2

given

16 = k*2^2

k = 4

So,

y = 4*x^2

at x = 4,

y = 4*4^2 = 64

Correct option is C.

62.

y = k/x^2

16 = k/2^2

k = 64, So

y = 64/x^2,

when x = 8,

y = 64/8^2 = 1

Correct option is B.

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