We can't write the product because there is no common input in the tables of g(x) and f(x).
<h3>Why you cannot find the product between the two functions?</h3>
If two functions f(x) and g(x) are known, then the product between the functions is straightforward.
g(x)*f(x)
Now, if we only have some coordinate pairs belonging to the function, we only can write the product if we have two coordinate pairs with the same input.
For example, if we know that (a, b) belongs to f(x) and (a, c) belongs to g(x), then we can get the product evaluated in a as:
(g*f)(a) = f(a)*g(a) = b*c
Particularly, in this case, we can see that there is no common input in the two tables, then we can't write the product of the two functions.
If you want to learn more about product between functions:
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Answer:
52 weeks
Step-by-step explanation:
The club starting with $270 (club 1) is increasing their bank balance each week by ...
... $280 -270 = $10
The club starting with $10 (club 2) is increasing their bank balance each week by ...
... $25 -10 = $15
Club 2 is gaining on Club 1 by $15 -10 = $5 each week. So, the initial difference of $270 -10 = $260 will be overcome in ...
... $260/($5/week) = 52 weeks
_____
The same result is shown in the attached graph, which also shows that both clubs' bank balances will be $790 at that time.
Answer:
x^0
Step-by-step explanation:
1/x = x^-1
For x > 1, this fraction is less than 1, so will be smaller than x^0, which is 1.
x^0 is bigger
Answer:
y = -4x + 5
Step-by-step explanation:
This linear function can be represented through the slope-intercept form, or y=mx+b. You already know your m value, 4, which is your slope. From there you can plug in your coordinate into the y and x values to find your y-intercept, or b.
y = mx + b
-3 = -4(2) + b
b = 5
Then you put it all together to form the equation f(x) = -4x + 5
