Using it's formula, the average rates of change are given as follows:
a) 30 meters per second.
b) -10 meters per second.
<h3>What is the average rate of change of a function?</h3>
The average rate of change of a function is given by the <u>change in the output divided by the change in the input.</u> Hence, over an interval [a,b], the rate is given by the following equation:

For item a, taking the data from the table, we have that:
Hence the rate is given as follows:
r = (138 - 0)/(4.6 - 0) = 30 meters per second.
For item b, taking the data from the table, we have that:
Hence the rate is given as follows:
r = (0 - 23)/(11.5 - 9.2) = -10 meters per second.
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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.
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Answer:
(x-5) (x+4)
Step-by-step explanation:
x^2 -x -20
What two terms multiply to -20 and add to -1
-5*4 = -20
-5+4 = -1
(x-5) (x+4)
Answer:
$95-$5m
Step-by-step explanation:
after m months the has to pay $5m
so then you just need to subtract 5m from $95