9514 1404 393
Answer:
48 ft
Step-by-step explanation:
For the quadratic ax^2 +bx +c, the axis of symmetry is x = -b/(2a). For the given quadratic, which defines a parabola opening downward, the axis of symmetry defines the time at which the maximum height is reached.
t = -48/(2(-16)) = 1.5
Then the maximum height is ...
f(1.5) = (-16·1.5 +48)1.5 +12 = (24·1.5) +12
f(1.5) = 48
The maximum height the object will reach is 48 feet.
9514 1404 393
Answer:
- domain: [-6, -1)
- range: [-5, 4]
Step-by-step explanation:
You have correctly determined the domain to be from x = -6 to x < -1. In interval notation, that would be ...
[-6, -1)
__
The range is the vertical extent of the graph. It extends from a minimum of y = -5 to a maximum of y = +4 at the top of the curve. In interval notation, that would be ...
[-5, 4]
Answer:
See below:
Step-by-step explanation:
So we know that there is a
feet long board and that it is split into 6 pieces.
With that information, we can split it by doing the following:
1. 
We can do this because we have a board that is 0.75 feet long and we multiply it by one sixth because we want to divide a fraction and to do that we have to flip the fraction.
After doing that, we get our answer of 
This means that each piece is
feet long.
Cheers!
Y-5= 3(x-0)
Y-5= 3x
Y= 3x + 5
Hope this helps!
Answer:
Sam owes 4 friends $5
Step-by-step explanation:
We can set up the equation
23 = 5x + 3
Subtract the 3 from both sides
20 = 5x
x = 4 friends