3 tan³ t(theta) = tan t(theta)
3 tan³ t - tan t = 0
tan t ( 3 tan² t - 1 ) = 0
tan t = 0
t 1 = k π , k ∈ Z
3 tan ² t - 1 = 0
3 tan ² t = 1
tan ² t = 1/3
tan t = +/- √3/3
t 2 = π / 6 + k π
t 3 = - π / 6 + k π , k ∈ Z
5x-6= 3x
⇒ 5x-3x= 6
⇒ 2x= 6
⇒ x= 6/2
⇒ x= 3
Final answer: x=3~
It’s is 1
wherever the vertex is, is the line of symmetry
Answer:
<h2>The value of

is 31 years.</h2>
Step-by-step explanation:
The given equation is formed by different variables, where
indicates the period of time in years where the rate of inflation is calculated.
In this case, we have a period from 1980 to 2011. The difference between these years would be the period of time used to find the inflation rate.

Therefore, the value of
is 31 years.
Answer:
First Graph is Correct
Step-by-step explanation:
We are given the inequality:

This means any number EQUAL TO or LESS than 46
Since, we have "equal to", there should be a "closed" circle on 46 (it means 46 is included).
LESS THAN means all numbers to the "LEFT".
Looking at the 4 number lines, we can eliminate last 2 choices since they don't have closed circles.
As for the first two choices, the first choice is correct because it shows us all the numbers left of 46 and 46 included (signified by the closed circle).
So, the first number line is the solution