# Math Help - Help needed with Functions and Graphs

1. ## Help needed with Functions and Graphs

Alright, the question is:

Draw the graph of y = 3x + 60/x - 35.
Range : x= 1.5 less than or equal to 10
y= 9.5 to 1
**Find solutions to the equation 4x + 60/x = 40 by drawing a suitable line.

My attempted solution:

Graph drawn,
** i have solved the question ' Find solutions to the equation 4x + 60/x = 40 by drawing a suitable line.' by other means but i just do not know where to draw a straight line at. how does this relate to y = 3x + 60/x - 35 ??

kind regards
tgpnlyt7095

2. Originally Posted by tgpnlyt7095
Alright, the question is:

Draw the graph of y = 3x + 60/x - 35.
Range : x= 1.5 less than or equal to 10
y= 9.5 to 1
**Find solutions to the equation 4x + 60/x = 40 by drawing a suitable line.

My attempted solution:

Graph drawn,
** i have solved the question ' Find solutions to the equation 4x + 60/x = 40 by drawing a suitable line.' by other means but i just do not know where to draw a straight line at. how does this relate to y = 3x + 60/x - 35 ??

kind regards
tgpnlyt7095
Dear tgpnlyt7095,

$y=3x + \frac{60}{x} - 35$

Since, $4x+\frac{60}{x}=40\Rightarrow{\frac{60}{x}=40-4x}$

Therefore, $y=3x+40-4x-35\Rightarrow{y=-x+5}$

This is the straight line that you have to draw.

3. Originally Posted by Sudharaka
Dear tgpnlyt7095,

$y=3x + \frac{60}{x} - 35$

Since, $4x+\frac{60}{x}=40\Rightarrow{\frac{60}{x}=40-4x}$

Therefore, $y=3x+40-4x-35\Rightarrow{y=-x+5}$

This is the straight line that you have to draw.
Thanks a ton, you helped with the thinking process that i failed to deliver at just now .