Answer:
or
Step-by-step explanation:
Let:
Given
Solving (a): The polynomial for the volume in terms of height
Volume (V) is calculated using:
Expand
Open brackets
Rewrite as:
Solving (b): The dimensions when Volume = 180
Substitute 180 for V in:
Rewrite as:
Factorize:
Express as difference of two squares
This gives:
Since the height can not be negative, then H = 5 or H = 6
Recall that:
When H = 5
When H = 6
Hence, the dimensions of the box are:
or
That's not a linear system, but you have an awesome school system for giving you this problem.
Multiply by 6xy to clear the fractions.
That's a second degree equation, also known as a conic. That one happens to be a hyperbola.
Let's clear the fractions from the second equation, multiplying out common denominator xy:
We are being asked to find the meet of two hyperbolas, so we expect two answers, a quadratic equation.
Substituting,
We have to rule out x=0 because it's in the denominator.
Answer: (44/19, 33/20)
11/12 i believe that is the answer
Answer:
12.5
Step-by-step explanation:
put them in order from least to greatest: 11, 11, 12, 12, 12, 13, 13, 14, 15, 16
the middle is 12 and 13 so you do 12+13 then divide by 2
to get 12.5
hope this helps
The domain of F(x) is all real numbers.
This is due to the fact that the function has no undefined points or domain constraints.