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Yakvenalex [24]
3 years ago
10

Solve the following inequality then place the correct answer in the box provided 8x-1<15

Mathematics
2 answers:
Lena [83]3 years ago
8 0
Step #1: Add 1 to both sides

8x< 16

Step #2: Divide by 8 on both sides

Final Answer: x< 2

*Think of the less than symbol as just an equals sign and do anything in PEMDAS to get the vaiable (x) alone on one side.
kap26 [50]3 years ago
4 0
Here is the answer and the steps I hope that this helped!

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Consider M, N, and P. collinear points on MP.
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Answer:

See explanation

Step-by-step explanation:

There are three possible cases:

1. Point N lies between M and P, then MN + NP = MP. Consider needed difference:

\dfrac{MN}{NP}-\dfrac{MN}{MP}=\dfrac{MN}{NP}-\dfrac{MN}{MN+NP}=\dfrac{MN(MN+NP)-MN\cdot NP}{NP(MN+NP)}=\\ \\=\dfrac{MN^2+MN\cdot NP-MN\cdot NP}{NP(MN+NP)}=\dfrac{MN^2}{NP(MN+NP)}

2. Point N lies to the right from point P, then MP + PN = MN.  Consider needed difference:

\dfrac{MN}{NP}-\dfrac{MN}{MP}=\dfrac{MP+PN}{NP}-\dfrac{MP+PN}{MP}=\dfrac{MP}{NP}+1-1-\dfrac{NP}{MP}=\dfrac{MP^2-NP^2}{NP\cdot MP}

3. Point N lies to the left from point M, then NM + MP = NP. Consider needed difference:

\dfrac{MN}{NP}-\dfrac{MN}{MP}=\dfrac{MN}{MN+MP}-\dfrac{MN}{MP}=\dfrac{MN\cdot MP-MN(MN+MP)}{MP(MN+MP)}=\\ \\=\dfrac{MN\cdot MP-MN^2-MN\cdot MP}{MP(MN+MP)}=\dfrac{-MN^2}{MP(MN+MP)}

3 0
3 years ago
Find the reciprocal of 2 / -5 × 3 / -7<br> ​
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Answer:

\frac{35}{6}

Step-by-step explanation:

\frac{2}{ - 5}  \times  \frac{3}{ - 7}  \\  =  \frac{6}{35}

<h3>Now turn the answer upside down</h3>

\frac{6}{35}  =  =  >  \frac{35}{6}

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