Answer:
3cm and 7cm
Step-by-step explanation:
The length is 7cm.
The width is 3cm.
Area = Length × Width = 7cm × 3cm = 21cm²
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.
The equation describes a function whose maximum value is 5. The data set describes a function whose maximum value is also 5. Comparing the maximum values, we must conclude ...
... It is the same for both functions.
_____
Please note that the premise is that g(x) is a quadratic function. It is definitely NOT a quadratic function in the usual sense of the term.
Answer:
<em>$2.29/gal</em>
Step-by-step explanation:
The unit price is in units of cost per volume, or dollars per gallon, so you divide the cost in dollars by the volume in gallons.
unit rate = ($18.32)/(8 gal) = $2.29/gal