Answer:
Answer: There are 5 (five terms) in the expression shown.
Step-by-step explanation:
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In the expression shown:
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" x² − 10xy + 3y + y² − 1 " ;
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→ These 5 (five terms) are:
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x² , -10xy, 3y, y², and -1 .
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Let's start by moving all like terms to their own sides:
-18 = -3x + 6
3x = 6 + 18
3x = 24
x = 8
Answer:
n < - 3 or n > - 2
Step-by-step explanation:
Inequalities of the type | x | > a , have solutions of the form
x < - a or x > a
Then
2n + 5 < - 1 or 2n + 5 > 1
Solve both inequalities
2n + 5 < - 1 ( subtract 5 from both sides )
2n < - 6 ( divide both sides by 2 )
n < - 3
OR
2n + 5 > 1 ( subtract 5 from both sides )
2n > - 4 ( divide both sides by 2 )
n > - 2
Solution is n < - 3 or n > - 2
If the numbers after the decimal terminate, yes, it's rational.
9.521521521 = 9,521,521,521 / 1,000,000,000
If they don't terminate, but the pattern continues (which I suspect is the case here), yes, it's still rational.
If <em>x</em> = 9.521521521…, then
1000<em>x</em> = 9521.521521521…
Subtract <em>x</em> from this to eliminate the fractional part:
1000<em>x</em> - <em>x</em> = 9521.521521521… - 9.521521521…
999<em>x</em> = 9512
<em>x</em> = 9512/999
If they don't terminate, but the pattern does <em>not</em> continue, meaning the next few digits could be something random like
9.521521521<u>19484929271283583457</u>…
then the number would be irrational.
Answer:
x = -2.585
Step-by-step explanation:
You will have to plug this into your graphing calculator.
In y=, type 5(1/2)^x in the Y1 and type 30 in Y2.
When you hit 2nd trace and hit find intersections, you will get (-2.585, 30).
The answer is x = -2.585
