Solve the system by graphing (Simplify your answer completely.)
1 answer:
Answer:
(6,2)
Step-by-step explanation:
1) convert both equations to slope intercept form:
y=-x+8
and
y=x-4
now graph both equations separately by intercepts:
x int: 0=-x+8
-8=-x
8=x
y int: y=0+8
y=8
so the two coordinate points for first equation are (0,8) and (8,0)
lets move on two second equation: y=x-4
x int: 0=x-4
4=x
y int y=0-4
y=-4
so the 2 coordinate points are (4,0) and (0,4)
lets graph these two equations and see where they intersect:
(see graph below), the intersection is at (6,2) so (6,2) is our answer
hope this helps
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Answer:
<em>The average rate of descent over the last 3 hours is 1000 ft/h. </em>
Step-by-step explanation:
<u>Rate of Change</u>
It's usually referred to as to the variation that one magnitude has in reference to another. The reference magnitude can be time t. The rate of change is calculated as the slope of the curve that represents the function.
The image shows the variation of Mike's height above sea level in feet with time in hours. We need to calculate the rate of change in the last three hours (from 7 to 10).
The rate of change can be calculated with the slope of the line, which formula is:
Let's pick two points (7,4000) (10,1000):
Note the rate of change is negative, which means the height is decreasing.
The average rate of descent over the last 3 hours is 1000 ft/h.