Answer:
What part do you need explained?
Step-by-step explanation:
Answer:
Let x = the third side
In a triangle, the sum of any 2 sides must be larger than the third side.
I believe this is called the triangle inequality theorem.
We can construct 3 inequalities to obtain the range of values for the third side.
(Inequality #1) 12 + 4 > x
16 > x
(Inequality#2) 12 + x > 4
x > -8 (we can discard this ... we know all sides will be positive)
(Inequality #3) 4 + x > 12
x > 8
So when we combine these together,
8 < x < 16
X (the third side) must be a number between 8 and 16. but not including 8 and 16
ANSWER
x coordinates of the intersection points
EXPLANATION
The given system of equations is:


We want to use the graph of these functions to solve

The point of the intersection of the graph gives the solution to the simultaneous equation above.
Hence the x-coordinates of the intersection points gives the solution set of

The last choice is correct.
Answer:
First quartile = 3.5
Third quartile = 6.5
Step-by-step explanation:
Sales for last 20 hours :
3, 4, 5, 5, 6, 7
Using the data given :
The first quartile, Q1 ;
Q1 = 1/4(n+1)th term
n = 6
Q1 = 1/4(6 + 1)th term
Q1 = 7/4 = 1.75 th term
(3 + 4) / 2 = 7/2 = 3.5
The third quartile, Q3:
Q3 = 3/4(n+1)th term
n = 6
Q3 = 3/4(6 + 1)th term
Q3 = 21/4 = 5.25th term
(5th + 6th) term / 2
(6 + 7) / 2 = 13/2 = 6.5
Answer: 1
Order of operations:
add first (2 + 2)
Multiply ( 2 x (4))
Divide ( 8/(8))
= 1