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artcher [175]
3 years ago
7

The price of a house is originally listed at $200,000. The owners are having a hard time selling it and decided to reduce the pr

ice to $190,000. What is the percent decrease of the price of the house?​
Mathematics
1 answer:
klemol [59]3 years ago
8 0

Answer:

5%

Step-by-step explanation:

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20 students

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Find the value of x. Part 1c​
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The mean for this data is 95 <br> 103,99,90,86,105,96
prisoha [69]
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3 years ago
Explain why any of the four operations placed between two terms 5 and -3 sqrt (8) will result in an irrational number
Gnoma [55]

Sum/difference:

Let

x = 5 + (-3\sqrt{8}) = 5-3\sqrt{8}

This means that

3\sqrt{8} = 5-x \iff \sqrt{8} = \dfrac{5-x}{3}

Now, assume that x is rational. The sum/difference of two rational numbers is still rational (so 5-x is rational), and the division by 3 doesn't change this. So, you have that the square root of 8 equals a rational number, which is false. The mistake must have been supposing that x was rational, which proves that the sum/difference of the two given terms was irrational

Multiplication/division:

The logic is actually the same: if we multiply the two terms we get

x = -15\sqrt{8}

if again we assume x to be rational, we have

\sqrt{8} = -\dfrac{x}{15}

But if x is rational, so is -x/15, and again we come to a contradiction: we have the square root of 8 on one side, which is irrational, and -x/15 on the other, which is rational. So, again, x must have been irrational. You can prove the same claim for the division in a totally similar fashion.

7 0
2 years ago
2. Find the distance between (-2,1) and (3,4).
Nina [5.8K]

Answer:

\sqrt{34} or 5.83095

Step-by-step explanation:

Use the distance formula \sqrt{(x_{2}-x_{1} )^{2}+(y_{2}-y_{1} )^2 }

Make sure to round the answer appropriately if not asked for in square root form!!

8 0
3 years ago
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