In a week tracey earns $12.45 less than twice the amount Kayla earns. Tracy earns $102.45 write and solve an algebraic equation
1 answer:
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Number of questions worth 5 points = 10
Number of questions worth 2 points = 25
Further explanation:
The given system is a system of linear equations in two variables.
We will use the subsitution method to solve the system
Given equations are:
From equation no 1:
Putting x=35-y in second equation
Hence,
Number of questions worth 5 points = 10
Number of questions worth 2 points = 25
Keywords: Linear Equations, Substitution method
Learn more about substitution method at:
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Answer:
- 7.5 ft
- 32.5 ft, 5 ft
- 10.7 ft
Step-by-step explanation:
a) The starting height is h(0) = 7.5 feet, the constant in the quadratic function.
The irrigation system is positioned <u> 7.5 </u> feet above the ground
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b) The axis of symmetry for quadratic ax^2 +bx +c is x = -b/(2a). For this quadratic, that is x=-10/(2(-1)) = 5. This is the horizontal distance to the point of maximum height. The maximum height is ...
h(5) = (-5 +10)(5) +7.5 = 32.5 . . . feet
The spray reaches a maximum height of <u> 32.5 </u> feet at a horizontal distance of <u> 5 </u> feet from the sprinkler head.
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c) The maximum distance will be √32.5 + 5 ≈ 10.7 ft.
The spray reaches the ground at about <u> 10.7 </u> feet away.
