Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identity
tan²x + 1 = sec²x ⇒ tan²x = sec²x - 1
Consider the left side
sec²x × tan²x + sec²x
= sec²x(sec²x - 1) + sec²x ← distribute and simplify
= x - sec²x + sec²x
= x = right side ⇒ verified
Answer:
Step-by-step explanation:
<u>Given system:</u>
The solution is the common area shaded by the inequalities.
The lines are parallel because of same slope.
Both lines are solid because of equal sign in both inequalities.
The first inequality has a y-intercept of 1 and shaded area is to the left of the line since the value of y is greater as x increases.
The second inequality has a y-intercept of -2 and shaded area is to the right of the line since the value of y is greater as x increases.
The matching graph is the second picture (or attached below) and there is no solution.
Given : A social media website has currently = 1,000 members.
In each month number of members gets triple.
To find: Equation that represents number of members m belongs to site.
Solution: Because we are given, each month the number of members gets triple, that means each month we can multiply by 3 to the number of members of previous month.
For first month, we would multiply 1,000 by 3.
For second month, we would multiply 1,000 by 3 *3.
For second month, we would multiply 1,000 by 3*3*3.
Each month one factor of 3 is being increasing.
We could write those 3's as exponents of 3.
Like
As many months as many 3's are there.
So, the exponent of 3 is represnts the number of months.
Let us take a variable for number of month by n.
So, we could setup an equation for number of members m belongs to site on a particular month n as
This is our final equation.
