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Brums [2.3K]
3 years ago
14

Solve 7x + 6 > 1 + 2x

Mathematics
2 answers:
kati45 [8]3 years ago
8 0

Here we have an inequality in terms of x, with x on both sides. However, we can treat it as a straightforward equation in as much as we can use our standard operations as long as we do the same to both sides. Here, as we want to get all the terms with x on the same side, and everything else on the other (as we are solving an inequality in terms of x after all), we can subtract 2x from both sides, and subtract 6 from sides. This leaves us the new inequality (which means the same) of 5x>-5. We can simplify this further by dividing each side by 5, leaving x>-1, which is our final answer. We can show this on a graph also, if asked, like so...

professor190 [17]3 years ago
5 0

7x+6>1+2x

subtract 2x from each side:

5x+6>1

subtract 6 from each side:

5x>-5

divide each side by 5:

x>-5/5

x>-1


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A(3, -1) and B(6, 0)
Mashutka [201]

Answer:

AB = 3.16 units

Step-by-step explanation:

Given:

A(3, -1) and B(6, 0)

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AB = ?

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6 0
3 years ago
Select all ratios equivalent to 15:5.<br> 9:3<br> 6:2<br> 3:1
natali 33 [55]

Answer:

All three.

Step-by-step explanation:

All three of these ratios are equivalent to 15:5. Here's how:

Let's look at the first ratio, 9:3. Did you notice something common? 3 x 3 = 9. 9/3 = 3. 5 x 3 = 15. 15/3 = 5. Both of these numbers are divisible by 3,  so these ratios are equivalent.

Second. 6:2. 2 x 3 = 6. 6/3 = 2. 5 x 3 = 15. 15/3 = 5. See the similarity? The same applies to the next problem, number three, although it does slightly differentiate.

Third, 3:1. See, here, since the ratio is smaller than the problem, we can't multiply, since this ratio is smaller than the original number. But, it's still the same thing. A ratio is a number that compares a value to another value. This means that 3:1 is 3 compared to one. Now, let me clarify. 15:5. 3:1. These are the exact same values, except they are just written in a different form, and simplified. Since 5 x 3 = 15, we know that we can divide 15 evenly by 5, which makes it 3, and divide 5 evenly by 5, which equals one. So here we have our answer for the third problem. 5:1.

Ratios are basically division, except simplified. Every single ratio problem works this way. Once you get the hang of it, it's immensely easy. Hope this helped!

6 0
3 years ago
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blagie [28]
Hello !

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