Graph the line with slope -1/2 passing through the point (5,-3)
2 answers:
Answer: Draw a line through the two points (5,-3) and (7,-4)
See the diagram below.
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Explanation:
Start at (5,-3). Then move down 1 and to the right 2 units to arrive at (7,-4)
The motion of "down 1, right 2" is from the slope of -1/2
slope = rise/run = -1/2
rise = -1 = go down 1 unit
run = 2 = go 2 units to the right
Two points are the minimum amount needed to draw any line. Plot the two points (5,-3) and (7,-4) and draw a straight line through them as shown in the diagram below. I used GeoGebra to make the graph. Desmos is another tool you could use.
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Answer:
Total revenue = dollars
Step-by-step explanation:
Integrate with respect to .
∫
dx
Take
Differentiate with respect to
So,
∫
Use integration by parts: ∫f g dx = f∫ g dx-∫(∫g dx)f' dx
Therefore,
∫
=
∫
Put
To find total revenue from the sale of the first 12 calculators, put
Total revenue = dollars