a simple way to do away with denominators, is we can simply multiply both sides by the LCD, in this case the LCD is 3, so let's multiply both sides by 3.
Complete equation describing how X and Y are related.
2 answers:
Answer:
Step-by-step explanation:
Every time the x-value increases by 1, the y-value increases by 2. Therefore, the slope of the line must be equal to (rise/y-values over run/x-values). In slope-intercept form
,
represents the slope of the line,
represents the y-intercept, and
represents any point the line passes through.
Since represents the slope of the line, the value of
While the question only asks for this value, it's good to note that the equation of the function is (find 7 by substituting any ordered pair in the table with
).
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Answer:
• Slope is the derivative of the function:
• At, x = 0
Answer:
It takes 20 weeks to empty the lake
Step-by-step explanation:
Some rate, let's call it empties the lake in 10 weeks and a river (with rate
can fill the lake in 20 weeks. The idea behind the solution of this type of problem is always set the rate to the same units. Let's see this:
which implies that this rate empties 0.1 of the lake per week, thus,
.
Using the same idea, we can obtain that the filling rate of the river is:
Since both rates are acting at the same time, the total rate of flowing water (either in or out the lake) would be given by:
, which means that the lake is being empty at a rate of -0.05 week and using the rule of three:
Thus, It takes 20 weeks to empty the lake.