Answer:
The maximum temperature will be of 85 degrees, on July 15.
Step-by-step explanation:
Sine function:
The sine function oscilates between -1 and 1, and it's maximum value is:
![\sin{(\frac{\pi}{2})} = 1](https://tex.z-dn.net/?f=%5Csin%7B%28%5Cfrac%7B%5Cpi%7D%7B2%7D%29%7D%20%3D%201)
y=60+25sin(pi/6)t
The maximum value will occur when
, and it will be of 60 + 25 = 85 degrees.
When will it occur?
First we find the value of t for which the value inside the function sine is
. So
![\frac{\pi t}{6} = \frac{\pi}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cpi%20t%7D%7B6%7D%20%3D%20%5Cfrac%7B%5Cpi%7D%7B2%7D)
![\frac{t}{6} = \frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7Bt%7D%7B6%7D%20%3D%20%5Cfrac%7B1%7D%7B2%7D)
![2t = 6](https://tex.z-dn.net/?f=2t%20%3D%206)
![t = \frac{6}{2} = 3](https://tex.z-dn.net/?f=t%20%3D%20%5Cfrac%7B6%7D%7B2%7D%20%3D%203)
That is the number of months after April 15, which is 3 months. So July 15.
Answer:
0-2 x-intercepts and 0-1 y-intercepts
Step-by-step explanation:
A quadratic function can have anywhere from 0 to 2 x-intercepts. This is possible because a function can have 0, 1, or 2 solutions.
A parabola can also have either 0 or 1 y intercepts. It is possible for the function to not intercept the y axis at all, and it is also possible for it to intercept it exactly one time.
Step-by-step explanation:
Hope it helps you in your learning process.