The extreme of the quadratic ax² +bx +c is found at x = -b/(2a). Your function has
a = 16
b = 20
so it will have an extreme value at t = -20/(2*16) = -20/32 = -5/8.
We assume you intend h(t) = -16t² +20t +2 (with a leading minus sign), in which case the extreme value (maximum height) occurs at t = 5/8. The maximum height is
h(5/8) = (-16*5/8 +20)(5/8) +2 = 50/8 +2 = 33/4 = 8.25
The ball reaches its maximum height after 5/8 = 0.625 seconds.
The ball's maximum height is 8 1/4 = 8.25 feet.
Answer:
Step-by-step explanation:
b line segment
The car will travel 1.15 miles in 2 minutes 45 secs
if a car is traveling at 25 miles per hour, the amount of time the car travels in secs is 3600secs
25 miles = 3600secs
To get the distance traveled in 2 minutes 45 secs, we can write;
x = 165 secs
Divide both expressions
25/x = 3600/165
3600x = 25 * 165
3600x = 4125
x = 1.15 miles
Hence the car will travel 1.15 miles in 2 minutes 45 secs
LEarn more on speed here: brainly.com/question/10113134
The third choice does not represent a proportional relationship because the y-intercept ≠ 0.
Hope that helped you.
<h3>
Answer: $655,430.67</h3>
===============================================
Work Shown:
The home's value in 2020 is approximately $655,430.67 assuming that the rate of inflation is kept at 4.5% per year.
Note that for the r value, I used the decimal form of 4.5% (so you'll move the decimal point 2 spots to the left).
Also, the timespan from 1990 to 2020 is 2020-1990 = 30 years, which is why I used this for the t value.