Answer:
0.125 seconds.
Step-by-step explanation:
We have been given that the height of a ball above the ground as a function of time is given by the function 
, where h is the height of the ball in feet and t is the time in seconds.
We can see that our given equation is a downward opening parabola as its leading coefficient is negative. The maximum point will be vertex of parabola.
To find the time, when the ball would be at its maximum height, we need to find the x-coordinate of vertex.
Using formula 
, we will find the x-coordinate of vertex of parabola as:
Therefore, the ball will be at a maximum height after 0.125 seconds.
Answer:
(4, 2)
Step-by-step explanation:
Start by combining the equations
2x + 2x = 4X
4y - 4y = 0
16 + 0 = 16
4x = 16
x = 4
Now that you have one variable plug it back in to one of the original equations
2(4) + 4y = 16
8 + 4y = 16
4y = 8
y = 2
(4, 2)
Answer:
They are un-proportional.
Step-by-step explanation:
The ratios dont have the same relationship.
<h3>
Answer: Choice C) $1,444.50</h3>
========================================================
There are two methods to get the answer.
The slightly longer method is to take 7% of the original price to get
7% of 1350 = (7/100)*1350 = 0.07*1350 = 94.50
The sales tax is $94.50
Add this onto the original price to get 1,350+94.50 = 1,444.50
----------------------------
A shortcut is to multiply the original price by 1.07
The multiplier 1.07 represents a 7% increase since
- 1 = 100%
- 0.07 = 7%
- 1.07 = 1 + 0.7 = 100% + 7%
So we will have 1.07*1350 = 1,444.50
