Answer:

Step-by-step explanation:
apply the inverse properties of logarithmic and exponential functions to simplify

Inverse property of log says that

we apply this property in our problem. ln has same base 'e' . so ln and e gets cancelled




Answer:
Correct option: first one
Step-by-step explanation:
The graph has 3 different parts:
Cost = 15 when the Gigabytes used is lesser than or equal 2,
Cost from 20 to 40 when the Gigabytes used is greater than 2 and lesser than or equal 6.
An increase of 4 gigabytes caused an increase of 20 in the cost, so the slope is 20/4 = 5, and the y-intercept is:
20 = 5*2 + b -> b = 10
Cost = 50 when the Gigabytes used is greater than 6.
So the correct option is the first one
A - bi would be the other complex zero.
When you take the sqrt when solving an equation you get a + and - solution.
Answer: Alvin = 42 yrs , Elga = 21 yrs
Step-by-step explanation:
Let Elga's age be x , and Alvin's age be y ,since Alvin is two times Elga's age , then
Alvin's age = 2x , that is
y = 2x ............... equation 1
The sum of their ages is 63 implies
x + y = 63 .............. equation 2
Solving the resulting linear equations by substitution method.
Substitute equation 1 into equation 2 , we have
x + 2x = 63
3x = 63
x = 63/3
x = 21
Therefore : Elga is 21 years old , then Alvin will be 21 x 2, which will be 42