The temperature at a state park for one day in June can be approximated by the function T(x) = 0.264x2 - 4.752x + 81 0 ≤ x ≤ 18
where T is degrees Fahrenheit and x is the number of hours after 5 PM on Friday. What was the lowest temperature reached? Round to the nearest whole degree.
2 answers:
Answer:
60 °F
Step-by-step explanation:
The function can be put into vertex form:
T(x) = 0.264(x² -18x) +81 . . . . factor the leading coefficient from 1st 2 terms
Now, we add the square of half the x-coefficient inside parentheses and subtract the same quantity outside parentheses.
T(x) = 0.264(x² -18x +81) +81 -0.264·81
T(x) = 0.264(x -9)² +59.616
The low temperature for the day was approximately 59.6 °F, which rounds to 60 °F.
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F(-1) = (-1)^2 - (-1) - 1 = 1
F(1) = (1)^2 - (1) - 1 = -1
Now plug in the x and y values to find the slope:
The answer is -1.
We find slope with the following equation:
In this case, we are looking for the slope from x = -1 to x = 1. We have both x values, so next we need the y values.
F(-1) = (-1)^2 - (-1) - 1 = 1
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My answer-
Simplifying 5x + -14 = 8x + 4
Reorder the terms: -14 + 5x = 8x + 4 Reorder the terms: -14 + 5x = 4 + 8x
Solving -14 + 5x = 4 + 8x Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -14 + 5x + -8x = 4 + 8x + -8x
Combine like terms: 5x + -8x = -3x -14 + -3x = 4 + 8x + -8x
Combine like terms: 8x + -8x = 0 -14 + -3x = 4 + 0 -14 + -3x = 4 Add '14' to
each side of the equation. -14 + 14 + -3x = 4 + 14
Combine like terms: -14 + 14 = 0 0 + -3x = 4 + 14 -3x = 4 + 14
Combine like terms: 4 + 14 = 18 -3x = 18 <span>
Divide each side by '-3'. x = -6
Simplifying x = -6
If you need anything else on brainly let me know :)</span>
Simplifying 5x + -14 = 8x + 4
Reorder the terms: -14 + 5x = 8x + 4 Reorder the terms: -14 + 5x = 4 + 8x
Solving -14 + 5x = 4 + 8x Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -14 + 5x + -8x = 4 + 8x + -8x
Combine like terms: 5x + -8x = -3x -14 + -3x = 4 + 8x + -8x
Combine like terms: 8x + -8x = 0 -14 + -3x = 4 + 0 -14 + -3x = 4 Add '14' to
each side of the equation. -14 + 14 + -3x = 4 + 14
Combine like terms: -14 + 14 = 0 0 + -3x = 4 + 14 -3x = 4 + 14
Combine like terms: 4 + 14 = 18 -3x = 18 <span>
Divide each side by '-3'. x = -6
Simplifying x = -6
If you need anything else on brainly let me know :)</span>