Solve the equation 3x + 5y = 15 for y
2 answers:
We are given this equation :
We have to solve it for y, so we need to isolate y on the left side,
first we have 3x on the left side in addition, so when we take it to the right side we apply opposite operation that is subtract 3x
Next y is in multiplication with 5, so we apply opposite operation of multiplication that is division, so dividing right side by 5
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Answer:
- 9.5
- maximum, 34.5, 5
- 10.9
Step-by-step explanation:
I find it convenient to use a graphing calculator to graph the function.
The "start" is x=0, where the distance from the sprinkler head is 0 feet. The value of h(0) is 9.5, the height of the sprinkler head.
- The irrigation system is positioned <u> 9.5 </u> feet above the ground.
The graph shows the vertex of the curve is (5, 34.5), meaning that a height of 34.5 feet is reached 5 feet horizontally from the sprinkler.
- The spray reaches a <u> maximum </u> height of <u> 34.5 </u> feet at a horizontal distance of <u> 5 </u> feet away from the sprinkler head.
- The spray reaches all the way to the ground at about <u> 10.9 </u> feet away.
The graph shows the x-intercept at about 10.9. That is where the height of the spray is 0 feet above the ground.
