FIRST ANSWER WILL RECEIVE BRAILIEST!!
2 answers:
Answer:
- 200r +525p ≤ 5900
- see below for a graph
- yes, the truck would be overloaded
Step-by-step explanation:
The weight of r refrigerators is 200r. The weight of p pianos is 525p. The total weight must not exceed 5900 lb. So, the total weight of r refrigerators and p pianos must satisfy ...
200r +525p ≤ 5900
In addition, we cannot have negative refrigerators or pianos, so we must also have ...
r ≥ 0
p ≥ 0
A graph is attached.
_____
The point (r, p) = (13, 8) is not in the solution space. 13 refrigerators and 8 pianos would overload the truck.
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Answer:
about 5.613 seconds
Step-by-step explanation:
Using the quadratic formula to find the value of t when h = 0, we have ...
at² +bt +c = 0
t = (-b±√(b²-4ac))/(2a)
t = (-72±√(72² -4(-16)(100)))/(2(-16))
t = (-72±√11584)/-32 = (9±√181)/4
Only the positive value of t is of interest.
The coin will hit the stream after (9+√181)/4 seconds ≈ 5.613 seconds.
