-16t² + 32t + 128 = 0
-16t² + 64t - 32t + 128 = 0
-16t(t - 4) - 32(t - 4)
(-16t - 32)(t - 4) = 0
-16t -32 = 0 t - 4 = 0
-16t = 32 t = 4
t = -2
t = -2 and t = 4 are the values that makes S = 0.
Yes, because if you apply either of these values alone, S will be 0.
The area of the desktop is 12. 5 feet square
<h3>How to determine the area</h3>
The formula for area of a rectangle;
Area = length × width
Length = 2. 5 feet
Width = 5 feet
Area = 2. 5 × 5
Area = 12. 5 feet square
Thus, the area of the desktop is 12. 5 feet square
Learn more about area of a rectangle here:
brainly.com/question/14137384
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The graph should look like this
We need to expand the answer choices and see which one matches the equation

Remember the algebraic rules:

Now, if we expand choice D, we should get this. Let's expand:
<u>Answer- </u>Wendy spent 3 hours on the train
<u>Solution-</u>
The distance between the cities= 500 mi.
She traveled part of the way by bus, and other part by train.
The bus averaged 40 mph, and the train averaged 120 mph.
The entire trip took 6.5 hours.
let d = distance traveled by train
the total distance was given as 500 mi ,
therefore, distance traveled by bus = (500-d) mi
time = distance/speed
⇒ train traveling time + bus traveling time = 6.5 hrs
⇒ 
⇒ d + 3(500-d) = 120(6.5)
⇒ d + 1500 - 3d = 780
⇒ 2d = 720
⇒ d = 360 mi
so d = 360 mi by train
⇒ 360/120 = 3 hrs on the train