For question number 1:The plot H = H(t) is the parabola and it reaches its maximum in the moment when exactly at midpoint between the roots t = 0 and t = 23. At that moment t = 23/2 or 11.5 seconds.
For question number 2:To find the maximal height, just simply substitute t = 11.5 into the quadratic equation. The answer would be 22.9.
For question number 3:H(t) = 0, or, which is the same as -16t^2 + 368t = 0.Factor the left side to get -16*t*(t - 23) = 0.t = 0, relates to the very start of the process, when the ash started its way up.The other root is t = 23 seconds, and it is precisely the time moment when the bit of ash will go back to the ground.
Answer:
21.8
Step-by-step explanation:
Answer:
The maximum number of sandwiches she can buy is 24.
Step-by-step explanation:
We can create a function to represent the cost of her team's lunch in function of the number of people in the team. We have:

Since she needs to stay on budget, the cost has to be less or equal to 170, therefore:

Since she can't buy 0.8 sandwiches, the maximum number of sandwiches she can buy is 24.
Answer:
The third equation: 
Step-by-step explanation:
The two points on the line are
and
.
Slope of the line passing through two points
and
is given as:

Here,
and
are
and
.
Therefore, slope is equal to, 
Now, equation of a straight line with slope m and points
and
is given as:

Now, if we use the 2nd form, then
.
So, the equation is given as :
(2 x 100,000) + (7 x 10,000) + (9 x 100) + (5 x 10) = 270,950