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One linear function, t(x), can be modeled by the values in the table below. A second linear function can be modeled by the equation 4x − y + 4 = 0. When comparing the x-intercepts of these lines, which function has the largest x-intercept and what is this value?

 

  x        t(x)

−3         0

  0       −4

  3       −8

  6      −12

  9      −16

 

A   t(x) has the largest x-intercept: −4.

B   4x − y + 4 = 0 has the largest x-intercept: −1.

C   t(x) has the largest x-intercept: −3.

D   4x − y + 4 = 0 has the largest x-intercept: 4.

hay24  Apr 22, 2018
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2+0 Answers

 #1
avatar+86613 
+1

4x - y + 4  = 0

 

The x intercept  wil occur when y  = 0.....so....

 

4x - 0 + 4  = 0

 

4x  + 4  =   0       subtract 4 from both sides

 

4x  =  - 4           divide both sides by 4

 

x  = - 1

 

The x intercept for f(x)  is  at x = -3

 

So..... 4x - y + 4  = 0    has the larger x intercept at  x  = -1   ⇒   B

 

 

cool cool cool

CPhill  Apr 22, 2018
 #2
avatar+165 
+1

thankyou so much! That makes so much sense now!

hay24  Apr 22, 2018

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