Answer:
1 box of pencil cost 1 dollar and 1 box of pen cost 5 dollars
Answer:
x intercepts: (-3, 0)
y intercepts: (None)
Step-by-step explanation:
Y is output and x is input
So if x=3, then 3+4=7
Answer:
Step-by-step explanation:
p(-3,-3)
here x is -3 and y is also -3 so
p(-3,-3)=p'(x-8,y-3
=p'(-3-8,-3-3)
=p'(-11,0)
Since we know that m and n are lines, we can put these points into equations (slope-intercept form would be easiest), and then set the equations equal to each other to see what their x coordinate is when they intersect.
For (6,1) and (2,-3):
slope = (y2 - y1) / (x2 - x1) = (-3 - 1) / (2 - 6) = -4 / -4 = 1
plugging this into slope-intercept form:
y = mx + b
1 = 1 x 6 + b
1 = 6 + b
b = -5
So our equation in slope intercept form is:
y = x -5
Taking the same steps for line n, we find that it's slope-intercept form is:
y = -3x + 9
If we set these two equations equal to each other, we can find the x-coordinate of the point of intersection:
-3x + 9 = x - 5
14 = 4x
x = 3.5
Plugging 3.5 back into to one of our original equations will give us the y coordinate of intersection:
y = x - 5
y = 3.5 - 5 = -1.5
Therefore, the point of intersection is (3.5, -1.5)