In real life, there are 35 days until the 4th of July.
In the problem, if Brooke is correct, there are 49 days until the 4th of July.
This question is weird.
The initial fee of $50 is essentially the y intercept because this is the value when x = 0 (x is the number of labor-hours). So b = 50.
The slope is m = 30 because each increase of 1 hour leads to the cost bumping up by 30 dollars. In other words, slope = rise/run = (change in cost)/(change in hours) = 30/1
So we plug m = 30 and b = 50 into the y = mx+b formula to get y = 30x+50
Replace y with f(x) to get f(x) = 30x+50
The linear function for the cost is f(x) = 30x+50
Note: Some books may use other letters (instead of x and f(x)), but the idea is still the same
Once you know the cost function, you replace x with 4.5 to find the amount it will cost to have a painter work for 4.5 hours.
f(x) = 30x+50
f(4.5) = 30*4.5+50
f(4.5) = 135+50
f(4.5) = 185
It will cost 185 dollars to have the painter work for 4.5 hours
Answer: 0
Step-by-step explanation:

This could be written as

Applying L'H rule and differentiating 3 times , we have

taking the limit as x goes to infinity , we have
0
There are 4 cups in a quart so 3 cups is 3/4 a quart
The probability of choosing a blue marble is 3/6 or 1/2 because 1/3 +1/6 equals 3/6. Meaning that only 3/6 is left over for blue's probability.