Answer:
Step-by-step explanation:
It's the square root of the variance
The variance is just the second moment minus the first moment squared
The standard form for this equation would be y = 2x^2 - 4x -1. This can be computed by expanding first the (x - 1)^2 which is x^2 - 2x +1. Then this will be multiplied by 2 which will give us, 2x^2 - 4x +2. Lastly, we will deduct the 3 from the equation which gives us the final answer of y= 2x^2 - 4x -1.
Answer:
The average rate of change is 1 over 3, or just 1/3. The y-values change 1 unit every time the x-values change 3 units, on this interval. Finding average rate of change from a word problem.
Step-by-step explanation:
hope this helps plz mrk brainliest
Answer:
• discriminant: 73
• # of real solutions: 2
Step-by-step explanation:
Comparing the equation ...
2x^2 -9x +1 = 0
to the generic form ...
ax^2 +bx +c = 0
we find the coefficient values to be ...
a = 2; b = -9; c = 1
That makes the value of the discriminant, (b^2 -4ac), be ...
(-9)^2 -4(2)(1) = 81 -8 = 73
Since the discriminant is positive, the number of real solutions is 2.
![\huge{ \boxed{ \bf{ \red{Problem:-}}}}](https://tex.z-dn.net/?f=%20%5Chuge%7B%20%5Cboxed%7B%20%5Cbf%7B%20%5Cred%7BProblem%3A-%7D%7D%7D%7D)
<h3>Solve for x: 3/2 + 1/2x =2x</h3>
![\huge{ \boxed{ \bf{ \red{Solution:-}}}}](https://tex.z-dn.net/?f=%20%5Chuge%7B%20%5Cboxed%7B%20%5Cbf%7B%20%5Cred%7BSolution%3A-%7D%7D%7D%7D)
![\bold{ \frac{3}{2} + {\frac{1}{2} x = 2x}}](https://tex.z-dn.net/?f=%20%5Cbold%7B%20%5Cfrac%7B3%7D%7B2%7D%20%20%2B%20%20%7B%5Cfrac%7B1%7D%7B2%7D%20x%20%3D%202x%7D%7D)
![\bold{ ⇒\frac{3}{2} + {\frac{x}{2} = 2x}}](https://tex.z-dn.net/?f=%20%5Cbold%7B%20%E2%87%92%5Cfrac%7B3%7D%7B2%7D%20%20%2B%20%7B%5Cfrac%7Bx%7D%7B2%7D%20%20%3D%202x%7D%7D%20)
![\bold{⇒\frac{3 + x}{2} = 2x}](https://tex.z-dn.net/?f=%20%20%5Cbold%7B%E2%87%92%5Cfrac%7B3%20%2B%20x%7D%7B2%7D%20%20%3D%202x%7D)
![\bold{⇒3 + x = 2(2x)}](https://tex.z-dn.net/?f=%20%5Cbold%7B%E2%87%923%20%2B%20x%20%3D%202%282x%29%7D)
![\bold{⇒3 + x = 4x}](https://tex.z-dn.net/?f=%20%5Cbold%7B%E2%87%923%20%2B%20x%20%3D%204x%7D)
![\bold{⇒3 = 4x - x}](https://tex.z-dn.net/?f=%20%5Cbold%7B%E2%87%923%20%3D%204x%20-%20x%7D)
![\bold{⇒ \frac{3}{3} = x}](https://tex.z-dn.net/?f=%20%5Cbold%7B%E2%87%92%20%5Cfrac%7B3%7D%7B3%7D%20%20%3D%20x%7D)
![\bold{ \therefore{x = 1}}](https://tex.z-dn.net/?f=%20%5Cbold%7B%20%5Ctherefore%7Bx%20%3D%201%7D%7D)
<h3>Hope it's helpful</h3>