Answer:
The height of the stone at the time it is thrown is 15.
Step-by-step explanation:
You have a quadratic function of the form h (x) = ax² + bx + c. In this case it is h (x) = -5x²+10x+15, where a =-5, b =10, c =15, x is the time and h (x) is the height of the stone after being thrown.
The moment the stone is thrown is instant zero. So if x = 0, h (0) is calculated:
h(0)= -5*0² +10*0 +15
h(0)= 0 + 0 + 15
h(0)= 15
The height of the stone at the time it is thrown is 15.
<h2>
Hello!</h2>
The answer is:
It will take 18 hours for the return trip.
<h2>
Why?</h2>
To calculate how long does it take for the return trip, we need to calculate the distance between it destination and the starting point.
We know that the ship sails at 15 miles per hour (mph) for 6 hours, so, calculating the distance we have:
We know that the distance between the destination and the starting point is 90 miles, now, to calculate how long does it take the return trip, we need to use the motor speed rate which is equal to 5 miles per hour (mph), so, calculating we have:
Therefore, we have that it will take 18 hours for the return trip.
Have a nice day!
Answer:
a
Step-by-step explanation:
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Answer:
Step-by-step explanation:
Given
Reader' Book Club
per book
Perfect Page
per book
Required
Write an inequality to represent the situation
<em>Represent the number of books with b</em>
First, we need to write an expression for Reader's book
This is:
= Membership + Books Read
For Perfect Page
This is
= Books Read
For Reader's club to be less than Perfect Page, we have:
Answer:
The correct option is;
D. -8·t² + 18·t + 6 = 10
Step-by-step explanation:
The given equation of the height toy cannon launched on top of a platform is given as follows;
h(t) = -8·t² + 18·t + 6...(1)
Where "h" represents the height in meters, at time "t" seconds after the ball is launched
When the height is 10 meters, we can write as follows;
The height of the ball, h(t) = 10
Therefore, by substituting the value of h(t) in equation (1), h(t) = -8·t² + 18·t + 6, when h(t) = 10 we get;
-8·t² + 18·t + 6 = 10.