What’s the distance between the points (-3,10)and(6,-2)
1 answer:
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Answer:
S(t) = 4.725t + 478.25
S(t) = 4.725(42)+478.25
S(t) = 676.7
Step-by-step explanation:
In the question, score is a function of time, that means time is the x-axis, while score is the y-axis.
Order the pairs to get:
(30,620) and (70, 809)
With these values, you use the the equation to get the slope m.
Use this equation and input any ordered pair to get the final function.
y-y1 = m(x-x1)
y-620 = 4.725x-141.75
y = 4.725x + 478.25
Replace x with t and y with S(t) to fit the x & y axis of the question.
You need to solve the following equation:
-0.5x^2 +36x -161 = 451
Set right side to 0
-0.5x^2 +36x -612 = 0
Multiply by -2 to get rid of decimal and leading neg coefficient.
x^2 -72x + 1224 = 0
Use quadratic formula:
a = 1, b = -72, c = 1224
Therefore the min price to have 451 profit is $27.51
-0.5x^2 +36x -161 = 451
Set right side to 0
-0.5x^2 +36x -612 = 0
Multiply by -2 to get rid of decimal and leading neg coefficient.
x^2 -72x + 1224 = 0
Use quadratic formula:
a = 1, b = -72, c = 1224
Therefore the min price to have 451 profit is $27.51