12, 3.1.52 If f(x) = x and g(x) = 2x³, find f[g(x)], and g[f(x)]
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At some point, she will sell enough cards so that her sales cover her expenditures. So, the correct answer is ($40)
<h3> How did we figure this out?</h3>Lola is making greeting cards, which she will sell by the box at an arts fair. She paid $50 for a booth at the fair, and the materials for each box of cards cost $8. She will sell the cards for $10 per box of cards.
We are going to use 50, 8 and 10 to find are answer.
Therefore, we are going to divide the numbers:
- Division problem
- 50/10
- 8 x ? = 40
First, we need to figure out 50/10:
Therefore, at some point, she will sell enough cards so that her sales cover her expenditures. So, the correct answer is ($40)
Answer:
Step-by-step explanation:
we know that
The linear equation in slope intercept form is equal to
where
m is the slope of unit rate of the linear equation
b is the y-intercept or initial value of the linear equation
Let
t ----> the number of years since 2011
y --->the car's value
In this problem the year 2011 represent t=0
so
the year 2015, represent t=4 years (2015-2011)
we have the ordered pairs
(0,25,000) ----> represent the y-intercept
(4,12,000)
<em>Find the slope m</em>
The formula to calculate the slope between two points is equal to
substitute the values
---> is negative because is a decreasing function
we have
----> value of y when the value of x is equal to zero (initial value)
substitute the given values