well, is noteworthy that an x-intercept is when y = 0 or namely is a solution or root of the quadratic, so we know then that the x-intercepts or solutions are at (-1,0) and (3,0), that simply means that
![\bf -8=a(2)(-2)\implies -8=-4a\implies \cfrac{-8}{-4}=a\implies \boxed{2=a} \\\\[-0.35em] ~\dotfill\\\\ y=2(x+1)(x-3)\implies y=2(\stackrel{\mathbb{FOIL}}{x^2-2x-3})\implies y=2x^2-4x-6](https://tex.z-dn.net/?f=%5Cbf%20-8%3Da%282%29%28-2%29%5Cimplies%20-8%3D-4a%5Cimplies%20%5Ccfrac%7B-8%7D%7B-4%7D%3Da%5Cimplies%20%5Cboxed%7B2%3Da%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20y%3D2%28x%2B1%29%28x-3%29%5Cimplies%20y%3D2%28%5Cstackrel%7B%5Cmathbb%7BFOIL%7D%7D%7Bx%5E2-2x-3%7D%29%5Cimplies%20y%3D2x%5E2-4x-6)
Answer:
i think it is c sorry if wrong
Step-by-step explanation:
Circumfrence: pi times diameter
7.9*
circumfrence is approximatley 24.806
area:
a=
*(1/2(d))^2
a= 48.99
Answer:
The estimated average electric cost amount of all residents in Las Cruces = 182.9
Step-by-step explanation:
The bill amounts from the electric company for the month of July for 10 randomly selected houses from the map was obtained to be
135 265 215 103 156 203 125 156 230 241
Using the Central Limit theory, the mean of a sample extracted randomly from an independent distribution is approximately equal to the population mean of the independent distribution.
This means that the sample mean of a random sample extracted from the population is a good estimate of the population mean.
Sample mean ≈ Population mean
μₓ = μ
Mean = = (Σx)/N
The mean is the sum of variables divided by the number of variables
x = each variable
N = Sample size = 10
Σx = (135+265+215+103+156+203+125+156+230+241) = 1,829
Sample mean = (1,829/10) = 182.9
Population mean ≈ sample mean
Population mean ≈ 182.9
Hope this Helps!!!
1. We assume, that the number 92.4 is 100% - because it's the output value of the task.
<span>2. We assume, that x is the value we are looking for. </span>
<span>3. If 92.4 is 100%, so we can write it down as 92.4=100%. </span>
<span>4. We know, that x is 150% of the output value, so we can write it down as x=150%. </span>
5. Now we have two simple equations:
1) 92.4=100%
2) x=150%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
92.4/x=100%/150%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 150% of 92.4
92.4/x=100/150
<span>(92.4/x)*x=(100/150)*x - </span>we multiply both sides of the equation by x
<span>92.4=0.666666666667*x - </span>we divide both sides of the equation by (0.666666666667) to get x
<span>92.4/0.666666666667=x </span>
<span>138.6=x </span>
x=138.6
<span>now we have: </span>
<span>150% of 92.4=138.6</span>
