Answer:
Step-by-step explanation:
The picture is below of how to separate this into 2 different regions, which you have to because it's not continuous over the whole function. It "breaks" at x = 2. So the way to separate this is to take the integral from x = 0 to x = 2 and then add it to the integral for x = 2 to x = 3. In order to integrate each one of those "parts" of that absolute value function we have to determine the equation for each line that makes up that part.
For the integral from [0, 2], the equation of the line is -3x + 6;
For the integral from [2, 3], the equation of the line is 3x - 6.
We integrate then:
and
sorry for the odd representation; that's as good as it gets here!
Using the First Fundamental Theorem of Calculus, we get:
(6 - 0) + (-4.5 - (-6)) = 6 + 1.5 = 7.5
Answer:
$11.25
Step-by-step explanation:
Multiply the number of hours she works by how much she gets paid per hour.
800
Multiply 50 times 7 (50 being the amount charged for her kid and 7 being the days of the week)
350
Subtract the 350 from the 800
450
Divide the 450 by the number of hours worked per week
450/40
Answer: 11.25
So Sally actually makes 11.25 per hour.
Answer:
Milan puts 1/4 of her lawn-mowing money in savings and uses 1/2 of the remaining money to pay back her sister. If she has $15 left
Step-by-step explanation:
Lets solve for a
ax+b=x+c
step 1:add -b to both sides
ax+b-b=c+x+-b
step 2:divide both sides
ax=-b+c+x
ax/x=-b+c+x/x
a=-b+c+x/x
answer:
a=-b+c+x/x
His hand slipped and she could not hold on any longer. He reached out to stop her from falling but all he caught was a single hair. She fell into the abyss and disappeared out of sight. He stared into the emptiness that had stolen his love away from him and began to cry. She was gone. He heard a faint whisper in the background that would haunt him for ever more 'Andrew, what did you do wrong?'
Sorry, I like creative writing.
