Answer:
Step-by-step explanation:
4/x + 4/(x²-9) = 3/(x - 3)
4 / x + 4 / [( x - 3) ( x + 3 )] = 3 / ( x - 3 ) / * x ( x - 3 ) ( x + 3 )
Restrictions : x ≠ 0, x ≠ - 3 , x ≠ 3;
4 ( x + 3 ) ( x - 3 ) + 4 x = 3 x ( x + 3 )
4 ( x² - 9 ) + 4 x = 3 x² + 9 x
4 x² - 36 + 4 x - 3 x² - 9 x = 0
x² - 5 x - 36 = 0
x² - 9 x + 4 x - 36 = 0
x ( x - 9 ) + 4 ( x - 9 ) = 0
( x - 9 ) ( x + 4 ) = 0
x - 9 = 0, or : x + 4 = 0
Answer:
x = 9, x = - 4
Answer: 5
Step-by-step explanation: The median is the middle number in the data set when the data set is written from least to greatest.
Notice that our data set is already written from least to greatest.
1, 2, 2, 8, 9, 14
Notice that in this data set, there is no middle number directly because 2 and 8 fall directly in the middle. In this situation, we take the average of these two middle numbers and divide their sum by 2.
Since 2 and 8 are the numbers that appear in the middle, we add them.
2 + 8 gives us 10.
Now we divide 10 by 2 to get 5.
So the median of this data set is 5.
Answer:
670 animals
Step-by-step explanation:
First, round both numbers to the nearest ten. Remember that the numbers 4 and under round down (e.g. 143 = 140) and the numbers 5 and above round up (e.g. 145 = 150).
218 = rounds up = 220
454 = rounds down = 450
Finally, add the rounded numbers together.
220 + 450 = 670
The zoo has approximately 670 animals.
It’s gonna be 1/125.
Since it’s F(3), you need to plug the 3 into the x. Then expand it into 1/5 times 1/5 times 1/5, which gets you 1/125
1. The answer is B (4, -1)
2. The answer is B (-2, 5)
