line N has slope m = 
given a line with slope m then the slope of a line perpendicular to it is
= - 
thus line N has slope -
= 
<em><u>200x3=600</u></em>
<em><u>50x3=150</u></em>
<em><u></u></em>
<em><u></u></em>
<em><u>600+150=750</u></em>
<em><u></u></em>
<em><u>750</u></em>
Minimum value is equal to x=8, y=-4First find the derivative of the original equation which equals= d/dx(x^2-16x+60) = 2x - 16at x=8, f'(x), the derivative of x equals zero, so therefore, at point x = 8, we have a minimum value.Just plug in 8 to the original equation to find the answer for the minimum value.
Answer:
5 oil changes.
Step-by-step explanation:
60 = 12x + 15y
60 = 12x + 15(0)
60 = 12x + 0
60
---- = x
12
5 = x
Answer:
The feasible region in the attached figure
Step-by-step explanation:
Let
x ----> the number of shirts
y ----> the number of pants
we know that
The cost of the shirts (number of shirts multiplied by the cost of one shirt) plus the cost of the pants (number of pants multiplied by the cost of one pant) must be less than or equal to $80
so
The inequality that represent this problem is

using a graphing tool
The feasible region is the triangular shaded area
see the attached figure