Answer:
Step-by-step explanation:
y = -x^2+4x-6x +24
y = -x^2 -2x + 24
Vertex (x) = 2/-2 = -1
Vertex (y) = -100/ -4 = 25
Vertex (-1, 25)
axis of symmetry: x= -1
-x^2 -2x + 24 = 0
Δ/4 = 1+24 = 25
x1 = (1 + 5)/-1 = -6
x2 = (1-5)/-1 = 4
left x intercept = (-6,0)
right x intercept = (4,0)
The DOMAIN is the set of all numbers
The range is y less than or equal to 25
Answer:
The breadth of the triangle is 8 inches.
Step-by-step explanation:
Given that the area of the triangle is 24 sq inches and that the height is 6 inches
1/2 * b * 6 =24
b * 3= 24
b=8 inches
Answer: -138
Step-by-step explanation:
pls help me with this on my account
gaston is making a tent for boy scout camp. he has been instructed to use canvas on all of the sides except the bottom, which will be made out of a different material. how much canvas will gaston need?
Answer:
![v = t (5t^{3} - 24)](https://tex.z-dn.net/?f=v%20%3D%20t%20%285t%5E%7B3%7D%20-%2024%29)
Step-by-step explanation:
We are given an expression to solve for the displacement (x), so in order to find velocity (v), we need to differentiate the function.
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Solving :
⇒ ![\frac{dx}{dt} = \frac{d}{dx} (t^{5} - 12t^{2} + 9)](https://tex.z-dn.net/?f=%5Cfrac%7Bdx%7D%7Bdt%7D%20%3D%20%5Cfrac%7Bd%7D%7Bdx%7D%20%28t%5E%7B5%7D%20-%2012t%5E%7B2%7D%20%2B%209%29)
⇒ ![v = (5)t^{5-1} - (2)12t^{2-1} + 0](https://tex.z-dn.net/?f=v%20%3D%20%285%29t%5E%7B5-1%7D%20-%20%282%2912t%5E%7B2-1%7D%20%2B%200)
⇒ ![v = 5t^{4} - 24t](https://tex.z-dn.net/?f=v%20%3D%205t%5E%7B4%7D%20-%2024t)
⇒ ![v = t (5t^{3} - 24)](https://tex.z-dn.net/?f=v%20%3D%20t%20%285t%5E%7B3%7D%20-%2024%29)
Using this equation, we can find the velocity if a value of t is given.