Answer:
w= 7/4 +1/4 √89 OR w= 7/4 -1/4 √89
Step-by-step explanation:
2w^2-8w-1= (w-2)^2
Multiply (w-2)^2 by (-1)
2w^2-8w-1= -w+2^2
Add w to both sides
2w^2-7w-1= 4
Add 1 to both sides therefore that -1 cancels
2w^2-7w=5
Get the equation equal to 0 by subtracting 5 from both sides
2w^2-7w-5=0
Use the quadratic formula to solve
x= -(-7) plus or minus √(-7)-4(2)(-5)/2(2)
7 plus or minus √89/4
You need to write it in the form y = mx +b
since slope is m and b is the y-intercept, it would be written as y = -2x + -6
I hope this helped :)
7.2 units is the distance between the two points (-5,3) and (1, -1).
The formula used for determining the distance between two points is shown below. In case this equation is used for finding the distance between the origin and a point, the value of x1 and y1 would just be equal to zero.
distance = 
The given points can be directly substituted for the formula.
Let: x2= 1, x1= -5, y2= -1, and y1= 3
distance = ![\sqrt{[1-(-5)]^{2} + (-1 -3)^2 }](https://tex.z-dn.net/?f=%5Csqrt%7B%5B1-%28-5%29%5D%5E%7B2%7D%20%2B%20%28-1%20-3%29%5E2%20%7D)
distance = 
distance =
or 7.21 units
When rounded to the nearest tenth, the distance between the two points would be 7.2 units.
For more information regarding the distance between points, please refer to the link brainly.com/question/23848540.
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The greatest common factor is six
Given:
.
Exponential regression model is

To find:
The exponential regression representing the population of Lazy Town as a function of time in years.
Solution:
Exponential regression model is
...(i)
We have,
.
Substituting
and
in (i), we get.

Therefore, the exponential regression representing the population of Lazy Town as a function of time in years, is
.