something noteworthy is that the independent and squared variable in this case will be the "x", namely the graph of that quadratic is a vertical parabola.
![\bf f(x) = (x+2)(x-4)\implies 0=(x+2)(x-4)\implies x = \begin{cases} -2\\ 4 \end{cases} \\\\\\ \boxed{-2}\rule[0.35em]{7em}{0.25pt}0\rule[0.35em]{3em}{0.25pt}\stackrel{\downarrow }{1}\rule[0.35em]{10em}{0.25pt}\boxed{4}](https://tex.z-dn.net/?f=%5Cbf%20f%28x%29%20%3D%20%28x%2B2%29%28x-4%29%5Cimplies%200%3D%28x%2B2%29%28x-4%29%5Cimplies%20x%20%3D%20%5Cbegin%7Bcases%7D%20-2%5C%5C%204%20%5Cend%7Bcases%7D%20%5C%5C%5C%5C%5C%5C%20%5Cboxed%7B-2%7D%5Crule%5B0.35em%5D%7B7em%7D%7B0.25pt%7D0%5Crule%5B0.35em%5D%7B3em%7D%7B0.25pt%7D%5Cstackrel%7B%5Cdownarrow%20%7D%7B1%7D%5Crule%5B0.35em%5D%7B10em%7D%7B0.25pt%7D%5Cboxed%7B4%7D)
so the parabola has solutions at x = -2 and x = 4, and its vertex will be half-way between those two guys, namely at x = 1.
since this is a vertical parabola, its axis of symmetry, the line that splits its into twin sides, will be a vertical line, and it'll be the x-coordinate of the vertex, since the vertex hasa a coordinate of x = 1, then the axis of symmetry is the vertical line of x = 1.
Answer:
The region with the highest population density is Binky Lee
The region with the lowest population density is Cheslen
Step-by-step explanation:
we know that
The <u><em>population density</em></u> is the number of people per unit of area
so
Find out the population density for each region
<em>Bear Creek</em>
![\frac{462}{112}= 3.70\ people/acre](https://tex.z-dn.net/?f=%5Cfrac%7B462%7D%7B112%7D%3D%203.70%5C%20people%2Facre)
<em>Binky Lee</em>
![\frac{12,624}{3,412}= 4.13\ people/acre](https://tex.z-dn.net/?f=%5Cfrac%7B12%2C624%7D%7B3%2C412%7D%3D%204.13%5C%20people%2Facre)
<em>Cheslen</em>
![\frac{3,537}{1,263}= 2.80\ people/acre](https://tex.z-dn.net/?f=%5Cfrac%7B3%2C537%7D%7B1%2C263%7D%3D%202.80%5C%20people%2Facre)
<em>Crow's Nest</em>
![\frac{2,142}{612}= 3.5\ people/acre](https://tex.z-dn.net/?f=%5Cfrac%7B2%2C142%7D%7B612%7D%3D%203.5%5C%20people%2Facre)
so
Cheslen < Crow's Nest < Bear Creek < Binky Lee
therefore
The region with the highest population density is Binky Lee
The region with the lowest population density is Cheslen
Answer:
To calculate the radius of a circle by using the circumference, take the circumference of the circle and divide it by 2 times π.
The two formulas that are useful for finding the radius of a circle are C=2*pi*r and A=pi*r^2.
The diameter is 2 times larger than the radius
Step-by-step explanation:
Hope this helped
:)
Answer:
k = 6
Step-by-step explanation:
14k=84
k = 84/14
k = 6
to check the equation:
14k ..we found that k is 6, so replace k with 6
14(6)
84 ......checked.
Answer:
2.40/10 = 0.24 per Oz
2.08/8 = 0.26 per Oz.
so yes, 10 Oz. for 2.40 is a better deal
Step-by-step explanation:
your are welcome