we have given an equation 
we need to simplify the given equation.
the distributive property is used here 

if we simplify the terms
we get
.
Answer:
12 is the denominator.
Step-by-step explanation:
<u>Here's a trick:</u>
If your ever making a proportion or equivalent fractions, always see what number the numerator/denominator is multiplied by to make the equivalent fraction.
In our case we have 3 being multiplied by x to get 18.
Since this is just 18 divided by 3, we ge that x = 6.
Now we can figure out our denominator's value.
We will multiply 2 times x to get our answer.
Since x = 6, we have 2 * 6 = 12 is our answer.
<u>Check:</u>
When we simplify, our answer should be equivalent to 3/2. If it isn't we've made a mistake. 18/12 = 6/4 = 3/2 so we are correct.
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
The pythagorean theorem states that in a right triangle, a² + b² = c².
Since a = b here, we square 15 and get 225 then double it to get 450. Then we find the square root of that: d is Approximately 21.213.
Hope this helps!