use figure 8.1. tulio fernadez purchased a treadmill with an installment loan that has an apr of 12 percent. the treadmill sells
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You are being asked to compare various expressions to the given one, and to determine which are equivalent and which are not. You are asked to simplify the given expression—collect terms.
The given expression ...
... 4y -8x² -5 +14x² +y -1
can be simplified by identifying like terms and adding their coefficients.
... y(4 +1) +x²(-8 +14) +(-5 -1)
... = 5y +6x² -6 . . . . . simplified form
Any expression that has a different y-term, a different x² term, or a different constant term is <em>not equivalent</em>.
Once you have found this simplified expression, you can drag it to the appropriate box. Looking at the top three expressions on the left, you see immediately that they have different y-terms, so all those go to the "not equivalent" box. The expression on the bottom row has a different x² term, so it, too, is "not equivalent". (The sign is negative instead of positive. Details matter.)
The remaining expression, the one on the far right, has the appropriate y-term and constant term. The x² terms have not been combined, so it is equivalent, but not fully simplified.
Answer:
The width of the carpet is 12 inches and the length of the carpet is 120 inches.
Step-by-step explanation:
^We can distribute first^
Distributing would result in:
Then we would combine like terms, which would result in:
Then we solve the equation.
Since the width of the carpet is 12 (as we figured out). The statement said that "The length of the carpet is 108 inches more than the width."
So now we add 108 to 12 to figure out the length.
The length of the carpet is 120 inches.