Answer:
$26
Step-by-step explanation:
To find your answer, simply plug in Francesca's time and Phil's time to your cost equation.
Francesca can be represented by the following equation:
Phil can be represented by the following equation:
As such, Francesca pays $13 and Phil pays $39. Next, since you want to find how much more Phil paid, all you have to do is subtract 13 from 39. That will give you $26.
Answer:
Part 1)
225 feet.
Part 2)
7 seconds.
Step-by-step explanation:
The height h(t) of the ball above the ground after <em>t</em> seconds is modeled by the function:
Part 1)
We want to determine the maximum height of the ball.
Notice that the function is a quadratic with a negative leading coefficient, so its maximum will be at its vertex point.
The vertex of a parabola is given by:
In this case, <em>a</em> = -16, <em>b</em> = 104, and <em>c</em> = 56.
Find the <em>x-</em> (or rather <em>t-</em>)<em> </em>coordinate of the vertex. So:
In other words, the ball reaches its maximum height after 3.25 seconds.
To find the maximum height, substitute this value back into the function. Hence:
The maximum height of the ball is 225 feet in the air.
Part 2)
We want to find the amount of time it took for the ball to hit the ground.
When the ball hit the ground, its height above the ground is zero. Therefore, we can set h(t) to 0 and solve for <em>t: </em>
We can simplify a bit. Divide both sides by -8:
We can factor. Find two numbers that multiply to 2(-7) = -14 and add to -13.
-14 and 1 works! Therefore, split the second term into -14 and 1:
Factor out a 2<em>t</em> from the first two terms and group the last two terms:
Factor by grouping:
Zero Product Property:
Solve for each case:
Since time cannot be negative, we can ignore the first case.
Therefore, it takes seven seconds for the ball to hit the ground.
Answer:
D
Step-by-step explanation:
To find the number of WHOLE pizzas needed, we need to divide the total number of slices needed (713) by 8 slices. Thus
<em>because we can't order fractional pizza, we need to round up. So we will need 90 pizzas.</em>
<em>Correct answer is D.</em>