Question 48707
1)Identify the horizontal asymptotes for the fuction of f(x)= x-5/x+1
horizontal asymptote = x/x= 1; y=1
2)Which type of variation is represented by a1/b1= a2/b2
a1 and a2 are direct; b1 and b2 are direct; a1 and b2 are inverse b1 and a2 are inverse.  The Site "MathWorld" says there is no such thing as "joint" variation.   
a. inverse
b. direct
c. joint
d. none
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3)Which type of variation is represented by a1 b1= b2 a2
a1, a2, b2 direct; b1, b2,a2 direct; a1, b1 indirect; b2,a2 indirect

a. inverse
b. direct
c. joint
d. none
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4)Suppose y varies directly as x. If y = 5 when x = 15, find x when y = 9.
direct variation implie y=kx
5=k(15)
k=1/3
y=(1/3)x
If y=9, 9=(1/3)x
x=27

a. 3
b. 6
c. 12
d. 27
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5)Suppose y varies inversely as x. If y = 2 when x = 14, find y when x = 7.
inversely implied y=k/x
2=k/14
k=28
y=28/x
If x=7 then y=28/7=4
a. 1
b. 4
c. 6
d. 8
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6)Suppose y varies jointly as x and z. If y = 10 when x = 2 and z = 4, find y when x = 4 and z = 3.
jointly ????????
a. 6
b. 12
c. 15
d. 20
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7)Simplify x^2-5x-24/6x +2x^2 * 5x^2/8-x 
Factor where you can as follows:
[(x-8)(x+3)]/[2x(3+x)]*[5x^2/(8-x)]
= (x-8)/2x]*[5x^2/(8-x)]
= -5x/2
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Cheers,
Stan H.



8)simplify x^2-3x/x^2-25 * x^2+4x-5/x^2-4x+3