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

Question

3 years ago

9

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.

Mathematics

2 answers:

Helga [31] · Answer 1 · 2022-01-25T07:33:52+03:00

Helga [31]3 years ago

8 0

Answer:

60 degrees

Step-by-step explanation:hope this helps

Lilit [14] · Answer 2 · 2022-01-25T05:17:54+03:00

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.