Write the equation of the line that passes through the points (-4,-7) and (8,7). Put your answer in fully reduced point-slope fo
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Answer:
x ∈ (-∞, -1) ∪ (1, ∞)
Step-by-step explanation:
To solve this problem we must factor the expression that is shown in the denominator of the inequality.
So, we have:
So the roots are:
Therefore we can write the expression in the following way:
Now the expression is as follows:
Now we use the study of signs to solve this inequality.
We have 3 roots for the polynomials that make up the expression:
We know that the first two are not allowed because they make the denominator zero.
Observe the attached image.
Note that:
when
when
and
is always
Finally after the study of signs we can reach the conclusion that:
x ∈ (-∞, -1) ∪ (1, 2] ∪ [2, ∞)
This is the same as
x ∈ (-∞, -1) ∪ (1, ∞)
The negative sign shows that they still owed $5000 to the creditors which shows a loss of money between June and December.
Step-by-step explanation:
Amount owed at the end of June = $3765
Amount owed at the end of December = $8765
As Hightop Roofing owed creditors the amount, therefore, we will consider the amount as negative, therefore,
Amount in June = -3765
Amount in December = -8765
To see the difference, we will subtract the amount owed in June from the amount owed in December.
The negative sign shows that they still owed $5000 to the creditors which shows a loss of money between June and December.
Keywords: difference, loss
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