Ok
y=-0.04x^2+8.3x+4.3
when the rocket reaches the ground (when height=0, ie when y=0), then the rocket will land, find the x coordinate
set y=0
0=-0.04x^2+8.3x+4.3
use quadratic formula
if you have ax^2+bx+c=0, then
x=
![\frac{-b+/- \sqrt{b^{2}-4ac} }{2a}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-b%2B%2F-%20%5Csqrt%7Bb%5E%7B2%7D-4ac%7D%20%7D%7B2a%7D%20)
a=-0.04
b=8.3
c=4.3
x=
![\frac{-8.3+/- \sqrt{8.3^{2}-4(-0.04)(8.3)} }{2(-0.04)}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-8.3%2B%2F-%20%5Csqrt%7B8.3%5E%7B2%7D-4%28-0.04%29%288.3%29%7D%20%7D%7B2%28-0.04%29%7D%20)
x=208.017 or -0.516785
xrepresents horizontal distance
you cannot have a negative horizontal distance unless you fired and theh wind blew it backwards
therefor x=280.017 is the answer
208.02 m
f(4)= 4^2 - 1 = 15
g(f(4)) = g(15) = 2(15) = 30
Hope this helps!
Answer:
![1.085x](https://tex.z-dn.net/?f=1.085x)
Step-by-step explanation:
Let x represent original price of an item.
We have been given that sales tax is 8.5%. The cost of item after sales tax would be x plus 8.5% of x.
![\text{Total price of item}=x+\frac{8.5}{100}\cdot x](https://tex.z-dn.net/?f=%5Ctext%7BTotal%20price%20of%20item%7D%3Dx%2B%5Cfrac%7B8.5%7D%7B100%7D%5Ccdot%20x)
![\text{Total price of item}=x+0.085 x](https://tex.z-dn.net/?f=%5Ctext%7BTotal%20price%20of%20item%7D%3Dx%2B0.085%20x)
![\text{Total price of item}=1.085x](https://tex.z-dn.net/?f=%5Ctext%7BTotal%20price%20of%20item%7D%3D1.085x)
Therefore, our required expression would be
.
The numerical value of this algebraic expression is 123
- Step-by-step explanation:
To solve this algebraic expression, we're going to subtract the numbers indicated in parentheses, and finally, we're going to multiply and <em>add </em>the numbers.
![\large \sf =6(22 - 12) + 63](https://tex.z-dn.net/?f=%5Clarge%20%5Csf%20%3D6%2822%20-%2012%29%20%2B%2063)
![\large \sf =6(10) + 63](https://tex.z-dn.net/?f=%5Clarge%20%5Csf%20%3D6%2810%29%20%2B%2063)
![\large \sf =60 + 63](https://tex.z-dn.net/?f=%5Clarge%20%5Csf%20%3D60%20%2B%2063)
![\boxed{\boxed{{\large \sf 123}}}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Cboxed%7B%7B%5Clarge%20%5Csf%20123%7D%7D%7D)
Therefore, we can conclude that the numeric value of this expression will be 123