Answer:
A. √10
Step-by-step explanation:
A rational number can be written as the ratio of two integers
A. √10
This cannot be simplified into the ratio of two integers, Square roots that cannot be simplified are irrational
B. -√81
- 9
-9/1 which is the ratio of two integers so it is rational
c. 5/4
This is the ratio of two integers so it is rational
d. 9.12
912/100
This is the ratio of two integers so it is rational
Answer:
x=ln(12)/ln(4)-2
Step-by-step explanation:
4^(x+2)=12
x+2=ln(12)/ln(4)
x=ln(12)/ln(4)-2
Ah, direct variation/proportion.
That is simply a linear equation with a y-intercept of 0.
So... let's solve this.
Simply put, a direct variation multiplies the x-value by a constant to get the y-value.
Let's take the point

on this graph and solve for the constant of proportionality:

We easily solve that and get our answer of

. (B)