A mountain bike rider travels 10 miles on the state park bike trail. The graph describes the bike rider's movement along the tra
il. At what rate did the bike travel along the trail?
A. 10mph
B. 25 mph
C. 17.5 mph
D. 12.5 mph
A. 10mph
B. 25 mph
C. 17.5 mph
D. 12.5 mph
2 answers:
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The value of x is –7.
Solution:
Given expression:
Let us factor .
Substitute this in the fraction.
To make the denominator same, multiply and divide the first term by (x +1).
Denominators are same, you can add the fractions.
Cancel the common term in the numerator and denominator.
Multiply the fractions.
The expression is simplified to one rational expression.
Suppose the expression is equal to 0.
Do cross multiplication.
Any number or variable multiplied by 0 gives 0.
Subtract 7 from both sides of the equation.
x = –7
The value of x is –7.
For the first part:
Every shirt she grabs, will cost her dollars, so if she grabs 3 shirts, then the cost of the shirts is:
With the same rationale, if she grabs 2 pairs of jeans, the cost of the jeans is:
So, her total is:
If you subtract 3 from the total, then the expression is:
For the second part:
If she's paying 3 less for each shirt, then the cost of 3 shirts will become:
In the same fashion, for the two jeans:
So the expression for the total cost is:
For number three:
The amounts are different because the cost of the total purchase is different than the cost of each element that makes up the total purchase.
For number four:
If you're the owner, you want to give the smallest amount of discount (the one in part 1/a).
So you could clarify by saying there's 3 dollars of the TOTAL purchase's cost.
Every shirt she grabs, will cost her dollars, so if she grabs 3 shirts, then the cost of the shirts is:
With the same rationale, if she grabs 2 pairs of jeans, the cost of the jeans is:
So, her total is:
If you subtract 3 from the total, then the expression is:
For the second part:
If she's paying 3 less for each shirt, then the cost of 3 shirts will become:
In the same fashion, for the two jeans:
So the expression for the total cost is:
For number three:
The amounts are different because the cost of the total purchase is different than the cost of each element that makes up the total purchase.
For number four:
If you're the owner, you want to give the smallest amount of discount (the one in part 1/a).
So you could clarify by saying there's 3 dollars of the TOTAL purchase's cost.