W=4L/9
A=LW, using W found above gives us
A=L(4L/9)
A=4L^2/9 and we were told that A=576 so
4L^2/9=576 multiply both sides by 9
4L^2=5184 divide both sides by 4
L^2=1296 take the square root of both sides
L=36, and we know that W=4L/9 so
W=4(36/9)=16
So the dimensions are: width=16in and length=36in
Since
is representing the number of gallons of water in the tub, we need to replace
with the number of gallons remaining in the tube to find the time. Fortunately, the problem is telling us just that: 17.8 gallons. The only thing left is replacing that value in the equation, and solve for
to find the time:
We can conclude that after
3 minutes <span>the tub will have 17.8 gallons of water remaining.</span>
<h2>Problem 6:</h2><h2>a)</h2>
<h2>b)</h2>
<h2>c)</h2>
<h2 />
Considering the given graph of the function, we have that:
- Function Notation: f(1) = -3.
- Verbal statement: If x is equal to -1, then the value of f(x) is equal to -3.
<h3 /><h3>How to find the numeric value of a function looking at it's graph?</h3>
To find the numeric value of the function, we get a value of x(horizontal axis), and then look at the corresponding value y(vertical axis), then y = f(x).
In the graph of this function, we have that when x = 1, y = -3, hence:
- Function Notation: f(1) = -3.
- Verbal statement: If x is equal to -1, then the value of f(x) is equal to -3.
More can be learned about functions at brainly.com/question/25537936
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