Mathematics, 13.01.2021 20:40 BluSeaa
1. The height of a soccer ball that is kicked from the ground can be approximated by the function:
y= -18x^2 + 90x
where y is the height of the soccer ball is x seconds after it is kicked.
Find the time, in seconds, it takes from the moment the soccer ball is kicked until it returns to the ground.
2. The height of a soccer ball that is kicked from the ground can be approximated by the function:
y = -16x^2 + 64x
where y is the height of the soccer ball in feet x seconds after it is kicked. What is the soccer ball's maximum height in feet?
Answers: 1
![\displaystyle [h, k]](/tpl/images/1033/1429/c21e4.png)
as the vertex point. Observe:![\displaystyle -\frac{b}{2a} = x \\ \\ -\frac{64}{2[-16]} = \frac{-64}{-32} = 2](/tpl/images/1033/1429/1ded0.png)
in the vertex formula, ![\displaystyle y = a[x - h]^2 + k,](/tpl/images/1033/1429/6ef1c.png)
gives you the OPPOSITE TERMS OF WHAT THEY REALLY ARE, so in this case, sinse 2 is already positive, you do not need to alter its operation sign. With this being stated, you should already have this:![\displaystyle y = -16[x - 2]^2](/tpl/images/1033/1429/551fa.png)
![\displaystyle -16[2]^2 + 64[2] = -16[4] + 128 = -64 + 128 = 64 \\ \\ \\ y = -16[x - 2]^2 + 64](/tpl/images/1033/1429/9814f.png)
![\displaystyle y = -18x^2 + 90x \\ 0 = -18x[x - 5] \\ \\ 5, 0 = x](/tpl/images/1033/1429/0a438.png)
Another question on Mathematics
Mathematics, 21.06.2019 16:20
Tomas is making trail mix using granola and walnuts. he can spend a total of $12 on the ingredients. he buys 3 pounds of granola that costs $2.00 per pound. the walnuts cost $6 per pound. he uses the equation to represent the total cost, where x represents the number of pounds of granola and y represents the number of pounds of walnuts. he solves the equation for y, the number of pounds of walnuts he can buy. answer- b tomas added 6 to both sides of the equation instead of subtracting 6. just took the test
Answers: 1
Mathematics, 21.06.2019 20:20
Each person in an it department of 25 people works on at least one of 3 major projects: system security, program implementation, platform development. 10 people work on system security, 13 work on program implementation, and 12 work on platform development. 4 people work on system security and platform development, 5 people work on program implementation and platform development, and 2 people work on all three projects. how many people work on system security and program implementation?
Answers: 1
Mathematics, 22.06.2019 02:30
How many times larger is 9 × 10^8 than 3 × 10^-5? a. 3 × 10^13 b. 3 × 10^-40 c. 3 × 10^-13 d. 3 × 10^3
Answers: 2
You know the right answer?
1. The height of a soccer ball that is kicked from the ground can be approximated by the function:...
Questions
History, 28.01.2020 06:31
Social Studies, 28.01.2020 06:31
English, 28.01.2020 06:31
Mathematics, 28.01.2020 06:31
Social Studies, 28.01.2020 06:31
Mathematics, 28.01.2020 06:31
Spanish, 28.01.2020 06:31
Mathematics, 28.01.2020 06:31
Mathematics, 28.01.2020 06:31
English, 28.01.2020 06:31
