Answer:
inequality: 24 + x ≤ 64. x = 40
Step-by-step explanation:
8 cups = 64 ounces
Larry needs to drink 40 more ounces because 64 - 24 = 40
The maximum height of the projectile is the maximum point that can be gotten from the projectile equation
The projectile reaches the maximum height after 5 seconds
The function is given as:
![\mathbf{h(t) = -16t^2 + 160t}](https://tex.z-dn.net/?f=%5Cmathbf%7Bh%28t%29%20%3D%20-16t%5E2%20%2B%20160t%7D)
Differentiate the function with respect to t
![\mathbf{h'(t) = -32t + 160}](https://tex.z-dn.net/?f=%5Cmathbf%7Bh%27%28t%29%20%3D%20-32t%20%2B%20160%7D)
Set to 0
![\mathbf{h'(t) = -32t + 160 = 0}](https://tex.z-dn.net/?f=%5Cmathbf%7Bh%27%28t%29%20%3D%20-32t%20%2B%20160%20%3D%200%7D)
So, we have:
![\mathbf{-32t + 160 = 0}](https://tex.z-dn.net/?f=%5Cmathbf%7B-32t%20%2B%20160%20%3D%200%7D)
Collect like terms
![\mathbf{-32t =- 160 + 0}](https://tex.z-dn.net/?f=%5Cmathbf%7B-32t%20%3D-%20160%20%2B%200%7D)
![\mathbf{-32t =- 160}](https://tex.z-dn.net/?f=%5Cmathbf%7B-32t%20%3D-%20160%7D)
Solve for t
![\mathbf{t = \frac{- 160}{-32}}](https://tex.z-dn.net/?f=%5Cmathbf%7Bt%20%3D%20%5Cfrac%7B-%20160%7D%7B-32%7D%7D)
![\mathbf{t = 5}](https://tex.z-dn.net/?f=%5Cmathbf%7Bt%20%3D%205%7D)
Hence, the projectile reaches the maximum after 5 seconds
Read more about maximum values at:
brainly.com/question/6636648
Answer:
4 T = 8818 pounds .........
Answer:
35
Step-by-step explanation:
14 + 9 + 12= 35
Answer:
a=-85/4
b=53/4
Step-by-step explanation:
17x(5+a)=17xb+221. (1)
85+17xa=17xb+221
85+(17xa)-(17xb)-221=0
17xa-17xb=-136
17x(a-b)=-136
a-b=-8
a=-8+b. (2)
Replace a=-8+b to (1):
17x5x(-8+b)=17xb+221
85x(-8+b)=17xb+221
-680+85xb=17xb+221
-680+85xb-17xb-221=0
-68xb-901=0
-68xb=901
b=-53/4
Replace b=-53/4 to (2):
a= -8+(-53/4)= -85/4