Answer:

Step-by-step explanation:
we know that
The <u><em>Triangle Inequality Theorem</em></u> states that the sum of any 2 sides of a triangle must be greater than the measure of the third side
so
Applying the Triangle Inequality Theorem
1) 
solve for n

Rewrite

2) 

therefore

Answer:
These are called angel investors.
Step-by-step explanation:
Angel investors are investors that invest at earlier stages of a business. This is though, inherently risky. I hope my answer helps.
Answer:
k = 2
Step-by-step explanation:
Given that x = - 1 is a root of the equation, then it satisfies the equation.
Substitute x = - 1 into the equation and solve for k, that is
3(- 1)² - 2k - 2(- 1) - 1 = 0
3 - 2k + 2 - 1 = 0
- 2k + 4 = 0 ( subtract 4 from both sides )
- 2k = - 4 ( divide both sides by - 2 )
k = 2
Answer:


Step-by-step explanation:
Let x be the number of adult tickets and y be the number of children's tickets.
We are given that there are total 12 people. Therefore, we can set:

Moreover, we are given that an adult ticket costs $21.50 and a child's ticket costs $14.75, therefore, cost of x adult tickets will be
and cost of y children's ticket will be
. We can form the second equation by setting the total cost of tickets as:

Therefore, the required system of equations that could be used to find x and y will be:

