Answer:
x = 2/3 or x = -1
Step-by-step explanation by completing the square:
Solve for x:
3 x^2 + x - 2 = 0
Divide both sides by 3:
x^2 + x/3 - 2/3 = 0
Add 2/3 to both sides:
x^2 + x/3 = 2/3
Add 1/36 to both sides:
x^2 + x/3 + 1/36 = 25/36
Write the left hand side as a square:
(x + 1/6)^2 = 25/36
Take the square root of both sides:
x + 1/6 = 5/6 or x + 1/6 = -5/6
Subtract 1/6 from both sides:
x = 2/3 or x + 1/6 = -5/6
Subtract 1/6 from both sides:
Answer: x = 2/3 or x = -1
I believe 64x-8 is the correct answer.
Answer:
x = 6
Step-by-step explanation:
Given that x and y vary directly then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition x = 25 when y = 100 , then
100 = 25k ( divide both sides by 25 )
4 = k
y = 4x ← equation of variation
When y = 24 , then
24 = 4x ( divide both sides by 4 )
6 = x
Answer: The most appropriate measure of center is the median.
Step-by-step explanation:
- The measure of center generally represented by 1) mean 2) median 3) mode.
- Mean is the best measure to represent the center of the data but when data have outliers it gets affected badly.
- In that case, we use the Median as the best measure of center.
The given data is 12 10,9,68,12 .
As it can be seen that, the data have extreme value 68 ( called outliers).
In this case, we will use the Median as the best measure of center.
So, the most appropriate measure of center is the median.
Answer:f
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1
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x
Step-by-step explanation:
