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IrinaVladis [17]
3 years ago
10

Solve 7−3n ≤ n+3 ................

Mathematics
1 answer:
vredina [299]3 years ago
4 0

Answer:

1 ≤ n

Step-by-step explanation:

7−3n ≤ n+3

  +3n   +3n

7 ≤ 4n+3

-3       -3

4 ≤ 4n

divide by 4 on each side

1 ≤ n

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Charlie runs at a speed of 3 yards per second . About how many miles per hour does Charlie run?
MrMuchimi
Ok so this can get tricky, it is basically just asking for you to perform many unit conversions. I'll try to simplify it for you here while still maintaining the explanation. If you have any questions about this process feel free to message me. 

3 yards = ____ miles (conversion factor is 1760 because there are 1760 yards in a mile) 

3/1760 = 0.017 miles,

Now we just need to convert seconds to hours. 

1 second is how many mins, then how many mins in an hour? 

360 seconds in an hour. 

Ok now we just need to combine these two pieces of info, 
0.017/360 = 4.72222 miles per hour. Thus 4.72 is the answer.
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A line is the locus of points that:
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Answer:

Option D

Step-by-step explanation:

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Solve the equatuon<br><br> x/2-(2/(x+1))=1<br><br> x=?
Snezhnost [94]

\frac{x}{2}-\frac{2}{x+1}=1

We have 2 denominators that we need to get rid of. Whenever there are the denominators, all we have to do is multiply all whole equation with the denominators.

Our denominators are both 2 and x+1. Therefore, we multiply the whole equation by 2(x+1)

\frac{x}{2}[2(x+1)]-\frac{2}{x+1}[2(x+1)] = 1[2(x+1)]

Then shorten the fractions.

\frac{x}{2}[2(x+1)]-\frac{2}{x+1}[2(x+1)] = 1[2(x+1)]\\x(x+1)-2(2)=1(2x+2)

Distribute in all.

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We should get like this. Because the polynomial is 2-degree, I'd suggest you to move all terms to one place. Therefore, moving 2x+2 to another side and subtract.

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We are almost there. All we have to do is, solving for x by factoring. (Although there are more than just factoring but factoring this polynomial is faster.)

(x-3)(x+2)=0\\x=3,-2

Thus, the answer is x = 3, -2

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