Answer:
691,255(0.985)^t _< 621859; t_> 7
Step-by-step explanation:
C. i just did it
Answer:
80000/0.0004 = 2'000'000'000 or 2 x 10^-9
8*10^4 = 80'000
4*10^-5 = 0.00004
Step-by-step explanation:
Answer:
The real roots are
and 
The sum of the squares of these roots is 
Step-by-step explanation:
The given quadratic equation is 
has two real roots.
To find the roots .
Dividing the above equation by 2
For quadratic equation 
the solution is 
Where a and b are coefficents of 
and x respectively, c is a constant.
For given quadratic equation
a=4, b=6, c=-7
The real roots are
and
Now to find the sum of the squares of these roots
![\left[\frac{-3+\sqrt{37}}{4}+\frac{(-3-\sqrt{37})}{4}\right]^2=\frac{-3+\sqrt{37}-3-\sqrt{37}}{4}](https://tex.z-dn.net/?f=%5Cleft%5B%5Cfrac%7B-3%2B%5Csqrt%7B37%7D%7D%7B4%7D%2B%5Cfrac%7B%28-3-%5Csqrt%7B37%7D%29%7D%7B4%7D%5Cright%5D%5E2%3D%5Cfrac%7B-3%2B%5Csqrt%7B37%7D-3-%5Csqrt%7B37%7D%7D%7B4%7D)
![\left[\frac{-3+\sqrt{37}}{4}+\frac{(-3-\sqrt{37})}{4}\right]^2=\frac{-3}{2}](https://tex.z-dn.net/?f=%5Cleft%5B%5Cfrac%7B-3%2B%5Csqrt%7B37%7D%7D%7B4%7D%2B%5Cfrac%7B%28-3-%5Csqrt%7B37%7D%29%7D%7B4%7D%5Cright%5D%5E2%3D%5Cfrac%7B-3%7D%7B2%7D)
Therefore the sum of the squares of these roots is
Answer:
log(x²-1)-(log5+logx)
Step-by-step explanation:
For this problem we need to make use of two existing logarithmic properties. These are:
- logM/N is equal to logM - logN
- logMN is equal to logM+logN
Following the first property, we can simplify the expression to:
log(x²-1)-log5x
Then, we will use the second property to the term 5x. The final form of the expression would then be:
log(x²-1)-(log5+logx)
Thus the answer is log(x²-1)-(log5+logx)....
