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A few Algebra 2 Questions, please help.?

0 votes
1. Suppose that y varies inversely with x. Write a function that models the inverse function. 

x = 7 when y = 3 

A. y=21/x 

B. y=21x 

C. y=3/7x 

D. y=3x/7 


2. Graph the rational function y=x^2-3/x-1. Both branches of the rational function pass through which quadrant? 


A. Quadrant 1 

B. Quadrant 4 

C.Quadrant 2 

D. Quadrant 3 


3. z varies inversely with x and directly with y. When x = 6 and y = 2, z = 5. 

What is the value of z when x = 4 and y = 9? 

A. 72/5 

B. 135 

C. 45 

D. 20/9
 
 
asked Oct 11, 2014 in ALGEBRA 2 by anonymous

3 Answers

0 votes

(1).

The word y varies inversely with x represents the function image, where k is constant.

To find the value of k substitute image in the above function.

image

The function is image

The option A is correct.

answered Oct 11, 2014 by casacop Expert
0 votes

(3).

The word z varies inversely with x and directly with y represents the function image, where k is constant.

To find the value of k, substitute image in the above function.

image

The function is image

To find the value of z, substitute image in the above function.

image

None of these options are correct.

answered Oct 11, 2014 by casacop Expert
0 votes

The rational function is y = (x2 - 3)/(x - 1) and its graph is

Observe the graph, both branches of the rational function pass through the first quadrant.

The option A is correct.

 

answered Oct 11, 2014 by casacop Expert

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