Factor each of the following differences of two squares and write your answer together with solution.
<h3><u>1. x² - 36</u></h3>
Rewrite . The difference of squares can be factored using the rule:.
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<h3><u>2. 49 - x²</u></h3>
Rewrite 49-x² as 7²-x². The difference of squares can be factored using the rule: .
Reorder the terms.
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<h3><u>3. 81 - c²</u></h3>
Rewrite 81-c²as 9²-c². The difference of squares can be factored using the rule: .
Reorder the terms.
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<h3><u>4</u><u>.</u><u> </u><u>m²</u><u>n</u><u>²</u><u> </u><u>-</u><u> </u><u>1</u></h3>
Rewrite m²n² - 1 as . The difference of squares can be factored using the rule: .
If s represents the number of songs Kim downloads, her expenses for a month must satisfy the inequality
5.00 + 0.58·s ≤ 13.00
To solve this, subtract 5.00 to get the s-term by itself, then divide by the coefficient of s.
0.58·s ≤ 8.00
s ≤ 8.00/0.58 ≈ 13.79
The number of songs must be an integer, so we conclude Kim can download 13 songs, but not 14 songs.
Kim can download 13 songs without exceeding her budget.
Aubrey plays for 150 minutes on the playground.
The answer is:
212/100
=(200/100)+(12/100)
=2.00+0.12
=2.12
Answer:
The graph in the attached figure
Step-by-step explanation:
we have
Remember that the denominator cannot be equal to zero
so
The value of x cannot be equal to x=-2
<em>Simplify the numerator</em>
----> by difference of squares
substitute
simplify
The domain is all real numbers except the value of x=-2
The y-intercept is the point (0,-6) ---> value of y when the value of x is equal to zero)
The x-intercept is the point (2,0) ---> value of x when the value of y is equal to zero)
therefore
The graph in the attached figure