Answer:
4). 47 - 29i
Step-by-step explanation:
(5+√-36)*(1-√-49)=5*1 -5√-49+1*√-36 -√-36√-49 = 5-5*7i +6i-6i*7i=
=5-35i+6i-42(-1)=5+42-41i= 47 - 29i
F(x)= 4(1-3)+1
4(-2)+1
-8+1
-7
G(x)=(1-3)^2-5
-2^2-5
4-5
-1
Check the picture below. So the parabola looks more or less like so.
let's recall that the vertex is half-way between the focus point and the directrix, at "p" units away from both.
Let's notice that the focus point is below the directrix, that means the parabola is vertical, namely the squared variable is the "x", and it also means that it's opening downwards as you see in the picture, namely that "p" is negative, in this case "p" is 1 unit, and thus is -1.
![\bf \textit{parabola vertex form with focus point distance} \\\\ \begin{array}{llll} 4p(x- h)=(y- k)^2 \\\\ \stackrel{\textit{we'll use this one}}{4p(y- k)=(x- h)^2} \end{array} \qquad \begin{array}{llll} vertex\ ( h, k)\\\\ p=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix} \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \begin{cases} h=-2\\ k=5\\ p=-1 \end{cases}\implies 4(-1)(y-5)=[x-(-2)]^2\implies -4(y-5)=(x+2)^2 \\\\\\ y-5=-\cfrac{1}{4}(x+2)^2\implies y=-\cfrac{1}{4}(x+2)^2+5](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Bparabola%20vertex%20form%20with%20focus%20point%20distance%7D%20%5C%5C%5C%5C%20%5Cbegin%7Barray%7D%7Bllll%7D%204p%28x-%20h%29%3D%28y-%20k%29%5E2%20%5C%5C%5C%5C%20%5Cstackrel%7B%5Ctextit%7Bwe%27ll%20use%20this%20one%7D%7D%7B4p%28y-%20k%29%3D%28x-%20h%29%5E2%7D%20%5Cend%7Barray%7D%20%5Cqquad%20%5Cbegin%7Barray%7D%7Bllll%7D%20vertex%5C%20%28%20h%2C%20k%29%5C%5C%5C%5C%20p%3D%5Ctextit%7Bdistance%20from%20vertex%20to%20%7D%5C%5C%20%5Cqquad%20%5Ctextit%7B%20focus%20or%20directrix%7D%20%5Cend%7Barray%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20%5Crule%7B34em%7D%7B0.25pt%7D%5C%5C%5C%5C%20%5Cbegin%7Bcases%7D%20h%3D-2%5C%5C%20k%3D5%5C%5C%20p%3D-1%20%5Cend%7Bcases%7D%5Cimplies%204%28-1%29%28y-5%29%3D%5Bx-%28-2%29%5D%5E2%5Cimplies%20-4%28y-5%29%3D%28x%2B2%29%5E2%20%5C%5C%5C%5C%5C%5C%20y-5%3D-%5Ccfrac%7B1%7D%7B4%7D%28x%2B2%29%5E2%5Cimplies%20y%3D-%5Ccfrac%7B1%7D%7B4%7D%28x%2B2%29%5E2%2B5)
Answer:
= 0.714 (in decimal fraction)
The probability that the death in 2014 was not caused by heart diseases or Unintentional Injuries = 0.714
= 0.714
Step-by-step explanation:
Let's interpret the question our way ti solve it .
Total deaths in 2014:
2626418
Death caused by Heart Diseases:
614348
Death caused by Unintentional Injuries:
750401
Therefore, we can deduced that, the number of death not caused by Heart Diseases or Unintentional Injuries = Total deaths in 2014 minus sum of the recorded death.
= 2626418 - ( 614348 + 136053)
= 2626418 - 750401
= 1876017.
Now, the probability that there were death in 2014 is 1 (one)
To find the probability that death we're not caused by heart diseases or Unintentional Injuries:
= 1 - Pr (Death Caused by heart diseases) + Pr (Death causes by Unintentional Injuries)
= 1 - (0.234 + 0.052)
= 1 - 0.286
= 0.714
To Check:
= 1876017 / 2626418
Divide to the lowest term
=0.714
You would just have to isolate for x
so it would simply become
-1.56/-7.8
= 0.2
