Answer:
x = - 10
Step-by-step explanation:
Express the fractions on the left side as a single fraction.
Multiply the numerator/denominator of the first fraction by (x - 2)
Multiply the numerator/denominator of the second fraction by (x + 1)
+ 
= 3
Distribute the numerators and simplify
= 3 ( cross- multiply )
3x² - 2x + 4 = 3(x+ 1)(x - 2) ← distribute
3x² - 2x + 4 = 3(x² - x - 2)
3x² - 2x + 4 = 3x² - 3x - 6 ( subtract 3x² - 3x from both sides )
x + 4 = - 6 ( subtract 4 from both sides )
x = - 10
Answer:
9
Step-by-step explanation:
Plug in -2 for x, and -1 for y, and solve:
3x - 4y + 11
3(-2) - 4(-1) + 11
Remember to follow PEMDAS. First, multiply. Remember, that when you multiply:
2 positive signs will result in a positive answer.
1 positive & 1 negative will result in a negative answer.
2 negative will result in a positive answer.
3 * -2 = -6
-4 * -1 = 4
-6 + 4 + 11 = 9
9 is your answer.
~
Answer:
20 is my answer and the question is somehow confusing
Using the definitions of the mean and of the standard deviation of a data-set, we have that:
- The standard deviation would remain constant.
<h3>What are the mean and the standard deviation of a data-set?</h3>
- The mean of a data-set is given by the <u>sum of all values in the data-set, divided by the number of values</u>.
- The standard deviation of a data-set is given by the <u>square root of the sum of the differences squared between each observation and the mean, divided by the number of values</u>.
When the measure of 84 is added to the data-set, we have that:
- A measure greater than the mean is added, hence the mean would increase.
- The difference squared between 84 and the mean of 81 is of 9, which is the same as the standard deviation, which would remain constant.
More can be learned about the mean and the standard deviation of a data-set at brainly.com/question/26941429
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