Answer:
x<-2
Step-by-step explanation:
4x+2<-6
4x<-6-2
x<-8/4
x<-2
Answer: The final balance is $81,551.47.
The total compound interest is $43,551.47.
I hope this helps<3
Answer:
x2x ^
4 −9x ^3 +11x ^
2 −3x−6
/x
Step-by-step explanation:
Answer:
-4 < x ≤ -1
x ∈ (-4,-1]
Step-by-step explanation:
Equation
is in form of
. All the intermediate steps are shown above for the transformation .
<u>Step-by-step explanation:</u>
We have the following equation 2x^2+42x+260=6x or
. Let's change this in form of (x+a)^2=b or
, following steps will be all intermediate steps involved :
⇒ ![2x^{2} + 42x + 260 = 6x\\2(x^{2} + 21x+ 130) = 2(3x)\\(x^{2} + 21x+ 130) = 3x\\x^{2}+18x+130 = 0](https://tex.z-dn.net/?f=2x%5E%7B2%7D%20%2B%2042x%20%2B%20260%20%3D%206x%5C%5C2%28x%5E%7B2%7D%20%2B%2021x%2B%20130%29%20%3D%202%283x%29%5C%5C%28x%5E%7B2%7D%20%2B%2021x%2B%20130%29%20%20%3D%203x%5C%5Cx%5E%7B2%7D%2B18x%2B130%20%3D%200)
⇒![x^{2} + 18x+130 = 0\\x^{2}+ 2(9)x+ 81 + 49 = 0\\x^{2}+ 2(9)x+ 81 = -49\\](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2B%2018x%2B130%20%3D%200%5C%5Cx%5E%7B2%7D%2B%202%289%29x%2B%2081%20%2B%2049%20%3D%200%5C%5Cx%5E%7B2%7D%2B%202%289%29x%2B%2081%20%3D%20-49%5C%5C)
But,
Therefore,
⇒ ![(x+9)^{2} = -49](https://tex.z-dn.net/?f=%28x%2B9%29%5E%7B2%7D%20%3D%20-49)
So , equation
is in form of
. All the intermediate steps are shown above for the transformation .