Answer:
Hey there!
7 to the power of two is 7 times 7 which is 49.
Hope this helps :)
Answer:
and ![x = 0.381](https://tex.z-dn.net/?f=x%20%3D%200.381)
Step-by-step explanation:
![y = \sqrt x\\](https://tex.z-dn.net/?f=y%20%3D%20%5Csqrt%20x%5C%5C)
![y = x - 1](https://tex.z-dn.net/?f=y%20%3D%20x%20%20-%201)
Required
y, when they are equal.
To do this, we set them to another
![\sqrt{x} = x - 1](https://tex.z-dn.net/?f=%5Csqrt%7Bx%7D%20%3D%20x%20-%201)
Square both sides
![x = (x - 1)^2](https://tex.z-dn.net/?f=x%20%20%3D%20%28x%20-%201%29%5E2)
Expand
![x = x^2 - 2x + 1](https://tex.z-dn.net/?f=x%20%3D%20x%5E2%20-%202x%20%2B%201)
Collect like terms
![x^2 -x-2x+1 = 0](https://tex.z-dn.net/?f=x%5E2%20-x-2x%2B1%20%3D%200)
![x^2 - 3x + 1 = 0](https://tex.z-dn.net/?f=x%5E2%20-%203x%20%2B%201%20%3D%200)
Using quadratic formula
and ![x = 0.381](https://tex.z-dn.net/?f=x%20%3D%200.381)
This is an arithmetic sequence (graph is a line), so function:
a(n) = First term + (n-1) * Common Difference
Here First term = 42 and Common difference = 34 - 36 = -2 so
![a(n)=42+(n-1)\cdot(-2)\\\\\boxed{a(n)=42-(n-1)\cdot2}](https://tex.z-dn.net/?f=a%28n%29%3D42%2B%28n-1%29%5Ccdot%28-2%29%5C%5C%5C%5C%5Cboxed%7Ba%28n%29%3D42-%28n-1%29%5Ccdot2%7D)
Answer B.
Answer:
2^3
Step-by-step explanation:
Same bases(2) means it becomes 2^-3+5/2^-1
Then it becomes 2^2/2^-1
After this, the power with the denominator comes up to the numerator, hence, it further becomes 2^2+1
=2^3
Answer:
The monthly expense is $244.16
Step-by-step explanation:
Given:
automobile insurance= $400
health insurance = $140
life insurance = $450
To find:
The monthly expense =?
Solution:
The automobile insurance is Semiannual premium . so it is paid twice a year
So for a year the total automobile insurance paid is =
= $800
The health insurance is monthly premium. it is paid for all 12 months.
Thus the health insure for a year is =
= $1680
The life insurance is annual premium. so it is paid once in a year
So for a year the life insurance paid is = $450.
The total expense for a year = 800+ 1680 + 450 = 2930
Then for one month the expense will be =
= $244.16