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3 years ago

Are there any rules when solving compound inequalities?

Mathematics

1 answer:

zimovet [89]3 years ago

7 0

Answer:

Yes bro

Step-by-step explanation:

To solve a compound inequality, first separate it into two inequalities. Determine whether the answer should be a union of sets ("or") or an intersection of sets ("and"). Then, solve both inequalities and graph.

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What are the coordinates of the vertices of the triangle under the translation (x, y) —> (x + 2, y + 3)?

tamaranim1 [39]

For each vertex just take the x and y coordinate and apply the translation. so for the point (-3,-2) make them (-3+2, -2+3)=(-1,1) and do the same for the other two points (0,2) and (-7,3)

8 0

4 years ago

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Here are the prices of five new pairs of hockey skates, in dollars: 59, 60, 65, 99, 175. The standard deviation is about $49. If

Phoenix [80]

Answer:

The standard deviation of the new data will be increased as compared to the previous standard deviation of the data.

Step-by-step explanation:

The prices are given to be : 59, 60, 65, 99, 175

Standard deviation = $49

Now, if we add or subtract any constant value to each of the terms then the standard deviation remains unchanged.

But, we add a new price in the given data that is $450

$\text{New standard deviation = }\sqrt{\frac{\sum (\bar{x}-x_i)^2}{n}}\\\\\bar{x}\text{ is the mean of data after adding 450 and}\\x_i\text{ are the price values of the sample data}$

Hence, Standard deviation is calculated to be 139.5

Therefore, the standard deviation of the new data will be increased as compared to the previous standard deviation of the data.

6 0

3 years ago

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Which is the simplified form of r^-7+s^-12

grigory [225]

Answer:

The simplest form is 1/r^7 + 1/s^12

Step-by-step explanation:

The given expression is r^-7+s^-12.

Notice that the exponents of both the base are negative

So, we will apply the rule which is:

a^-b = 1/a^b

Which means that to change the exponent into positive we will write it as a fraction:

r^-7+s^-12.

= 1/r^7 + 1/s^12..

Therefore the simplest form is 1/r^7 + 1/s^12....

5 0

4 years ago

A new automobile cost 11300 which is 100 more than 25 times a certain number what is the number

olga_2 [115]

Answer:

The number is 448.

Step-by-step explanation:

Hope it helps

3 0

3 years ago

F(×)=3×/2+× find f(-4)

3241004551 [841]

Answer:

f(x)=6

Step-by-step explanation:

3(-4)/2+(-4)

-12/-2

f(x)=6

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3 years ago

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