My brain do be dead. I'm trying to catch up in my math class before Christmas. Any help I can get would be SO APPREICTATED AAA
2 answers:
Answer (#17):
(x-3) (x-3) or (x-3)²
Step-by-step explanation:
See attachment to find simplified equation. I can't explain synthetic division very well. Please find other sources to learn synthetic division or traditional algebraic long division.
Anyway, the image should be read first while this text explains the second part. Now you have the second equation, it can be factored down.
The function in factored form is : (x-3) (x-3)
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We can find this by creating a function to represent how many lawns she's mowed.
The 46x represents the profit of 46 dollars per month for each lawn mowed and the -343 is the cost of fuel per month to remove it from profit. We now need to set this function to 800, and solve for x.
Because she can't mow part of a lawn, we need to round to a whole number. Our options are to round down to 25 or round up to 26. Lets start with the lower number first, and see if the profit for that many lawns is over 800.
Because 25 is over 800 dollars, we don't need to calculate 26. Therefore, she needs to mow at least 25 lawns to make a profit of at least 800 dollars a month.
The 46x represents the profit of 46 dollars per month for each lawn mowed and the -343 is the cost of fuel per month to remove it from profit. We now need to set this function to 800, and solve for x.
Because she can't mow part of a lawn, we need to round to a whole number. Our options are to round down to 25 or round up to 26. Lets start with the lower number first, and see if the profit for that many lawns is over 800.
Because 25 is over 800 dollars, we don't need to calculate 26. Therefore, she needs to mow at least 25 lawns to make a profit of at least 800 dollars a month.