In the ordered pair (2, 12), x = 2 and y = 12.
Substitute these values into each inequality to see if the resulting inequality is true.
y > 2x + 4
12 > 2(2) + 4 Twelve is greater than 2 times 2 plus 4 ...hmmm
12 > 4 + 4
12 > 8 Twelve is greater than 8 ....this is TRUE...go to the next inequality
y < 3x + 7
12 < 3(2) + 7 Twelve is less than 3 times 2 plus 7 ...interesting
12 < 6 + 7
12 < 13 Twelve is less than 13 ... this is TRUE also
Therefore; the answer is b. Yes
It must create a true inequality for BOTH inequalities in order for the ordered pair to be a solution
Answer:
Step-by-step explanation:
Given that:
Number of seats sold is 180 with ticket price $200.
Number of seats decreases by one when the ticket price is increased by $3.
To find:
The formula for the number of seats sold (S) when the ticket price is P dollars.
Solution:
It is linear dependency of number of seats sold, S on ticket price, P.
It can be written as:
Where 
is the constant of proportionality and
is a constant.
Now, putting the given values:
...... (2)
Subtracting (1) from (2):
Putting the value in (1):
Therefore the equation becomes:
Answer:
Step-by-step explanation:
The equation 6x + 3 = 27 is equivalent to 2x = 8 because you can divide 8 by 2x to get X=4. To solve 6x + 3 = 27, you can subtract 3 to both sides of the equal sign to end up with 6x = 24, and from there you can divide 24 by 6x and also end up with X = 4. Both equations have the same answer.
Answer:
(0.30, 0.42)
Step-by-step explanation:
Given the following :
Sample proportion = 0.36
Minimum sample proportion from simulation = 0.28
Maximum sample proportion from simulation = 0.40
Therefore ;
Range = (maximum sample proportions from simulation - minimum sample proportion from simulation)
Range = 0.40 - 0.28 = 0.12
Interval estimate of true population = sample proportion ± 0.5 (range)
0.36 ± 0.5(12)
0.36 ± 0.06
(0.36 - 0.06), (0.36 + 0.06)
(0.30, 0.42)
