Answer:
The object will reach its highest point 0.5 seconds after it has been thrown.
Step-by-step explanation:
The object reaches its maximum height when velocity is equal to zero, the velocity is the derivative of function height. That is:
(1)
Where 
is the velocity of the object at time 
, in feet per seconds.
If we know that 
and 
, then the time when object reaches its highest point is:
The object will reach its highest point 0.5 seconds after it has been thrown.
Answer:
C
Step-by-step explanation:
A: Perpendicular lines have 1 solution. A is not the answer.
B: If the lines intersect, there is one solution, not many.
C: The lines are the same or can be reduced to being the same. C is the answer.
D: The lines don't intersect means that the lines are parallel. There isn't a solution.
Step by step:
3 2 1
× 6 4
————————————-
+ 1 2 8 4
+ 1 9 2 6 0
————————————-
= 2 0 5 4 4
The textbook is $150 originally, so to find the price of the textbook on sale, multiply the original price by 12% (0.12). Then subtract 12% of 150 from 150.
Subtract 18 from 150.
Multiply the price of the textbook on sale by the sales tax of 8.25% (0.0825). Then add the tax price onto the sale price of the textbook.
Add 10.89 to 132.
The final price of the textbook is $142.89.
Answer:
The rate of change is 0.75 gallons per minute
Step-by-step explanation:
The rate of change of the linear relation is represented by the slope of the line which represents this relation
The rule of the slope of a line is
m = Δy/Δx, where
- Δy is the vertical change
- Δx is the horizontal change
From the given graph
∵ The line passes through points (0, 0) and (4, 3)
∴ Δx = 4 - 0 = 4
∴ Δy = 3 - 0 = 3
→ Use the rule of the slope above to find the slope of the line
∴ m = 
= 0.75
∵ The x-axis represents the time in minutes
∵ The y-axis represents the amount in gallons
∵ m represents the rate of change
∴ The rate of change = 0.75 gallons per minute
