Answer:
The inequality x3 − 14x2 + 48x − 1,680 ≤ 0 can be used to find pool’s length.
⇒The water level in the pool cannot exceed 14 feet.
Step-by-step explanation:
The question is on inequalities
Given;
Length= x ft
depth= x-6 ft
Width= x-8 ft
volume ≤ 1680 ft³
Forming the inequality to find length x of the pool
Volume= base area × depth
base area × depth ≤ volume
x(x-8) × (x-6) = 1680
(x²-8x )(x-6) = 1680
x(x²-8x) -6 (x²-8x)=1680
x³-8x²-6x²+48x=1680
x³-14x²+48x=1680
x³-14x²+48x-1680 ≤ 0
⇒The water level in the pool cannot exceed 14 feet...why?
taking the value of x at maximum to be 17 according to the graph, then maximum depth will be;
d=x-6 = 17-6=11 ft
⇒11 ft is less than 14ft
Answer: He has enough quarters to give 18 students bus fare.
Step-by-step explanation:
1 quarter = 0.25
3 quarters = 0.75
0.75 * x = 13.75
/0.75
x = 18.33
18 * 0.75 = 13.50
Answer:
17 miles
Step-by-step explanation:
20 - 3 = 17
(i may have misunderstood the question, if its $4 every mile then its 5 miles maximum)
Answer:
Volume = 7.66* side^3
side^3 = Volume / 7.66
side^3 = 30 / 7.66
side^3 = 3.9164490862
side = 1.5762707925
side = 1.58 feet (rounded)
Step-by-step explanation: