Standard Deviation, σ: 1.870828693387
Count, N: 4
Sum, Σx: 12
Mean, μ: 3
Variance, σ2: 3.5
Answer:
x = 4 or x = 1 or x = -2 or x = -3/2
Step-by-step explanation:
Solve for x over the real numbers:
2 x^4 - 3 x^3 - 21 x^2 - 2 x + 24 = 0
The left hand side factors into a product with four terms:
(x - 4) (x - 1) (x + 2) (2 x + 3) = 0
Split into four equations:
x - 4 = 0 or x - 1 = 0 or x + 2 = 0 or 2 x + 3 = 0
Add 4 to both sides:
x = 4 or x - 1 = 0 or x + 2 = 0 or 2 x + 3 = 0
Add 1 to both sides:
x = 4 or x = 1 or x + 2 = 0 or 2 x + 3 = 0
Subtract 2 from both sides:
x = 4 or x = 1 or x = -2 or 2 x + 3 = 0
Subtract 3 from both sides:
x = 4 or x = 1 or x = -2 or 2 x = -3
Divide both sides by 2:
Answer: x = 4 or x = 1 or x = -2 or x = -3/2
Answer:
I'll list the answers as coordinates (just input the second number in each coordinate)
(-2, 11)
(0, 1)
(2, -9)
(4, -19)
Step-by-step explanation:
So you see how the x column is filled out? You plug in the numbers in each area and solve for y.
So we start off with -2. You take the x out and place -2 instead. Your equation should look like this:
y = -5 (-2) + 1
Next you multiply -5 and -2, giving you 10. Your equation would look like this now:
y = 10 + 1
Next you add 10 and 1 together, and you have your answer. Keep doing the same thing, but instead of -2 for x, use 0, 2, and 4.
Hope I helped! Have a nice day or night! ^-^
4x is your answer to your question