Answer
The owner lose is $100 .
Reason
As given
A man comes into a store and steals $100 from the register without the owner knowledge.
Comes back and buys $70 worth of stuff and the owner gives him $30 in change.
i.e First man steals $100 than give back to owner when he buys $70 worth of stuff and the owner gives him $30 in change.
Therefore the total owner lose is the sum of $70 worth of stuff and $30 in change.
Total owner lose = $70 + $30
= $100
Therefore the owner lose be $100 .
Hence proved
The graph that is proportional is B because it goes through the origin and the ratio remains the same.
This is a stupid question. The teacher who asked this needs to go back to school.
A = x⁴ - 9y²
That's going to be a number. As long as it's positive we can choose any length for our rectangle L and we can compute the width by W=A/L. So the correct answer is the dimensions are L by (x⁴ - 9y²)/L.
They don't want the correct answer. They want you to factor this expression. We'll do it, but don't believe for a second this factoring somehow constrains the possible dimensions of some rectangle.
We use the difference of two squares, a²-b² = (a+b)(a-b)
A = x⁴ - 9y² = (x²)² - (3y)² = (x²+3y)(x²-3y)
Answer: x²+3y by x²-3y
