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:
14
Step-by-step explanation:
math
Answer:
x=-5+3√2 or x=-5-3√2
Step-by-step explanation:
use the quadratic formula
where as a=1 b=10 c=7
and solve it
Answer:
A. 3
Step-by-step explanation:
Let the length of the opposite side be x.
Hypotenuse = 2√3
Using the trigonometric ratios formula, we have:
Multiply both sides by 2√3
3 = x
x = 3
Answer:
4ab
Step-by-step explanation:
4(-3b)(+a)+8ab÷2a×4a
4(-3ab)+8ab÷2a×4a
-12ab+8ab÷2a×4a
-12ab+4b×4a
-12ab+16ab
16ab-12ab = <u>4ab</u>