Ok so we have the parabola at origin of y=-12 and crosses x-axis at points x=1,8 so, we could just look at where it crosses the x-axis and find it directly from there. it crosses x-axis at 1 and 8 so the answer can only be A to fit this criteria
A linear equation is RISE over RUN (y/x) so the starting point would be -6 and from there its a straight line across
Answer:
e
Step-by-step explanation:
e
There are 14 chairs and 8 people to be seated. But among the 8. three will be seated together:
So 5 people and (3) could be considered as 6 entities:
Since the order matters, we have to use permutation:
¹⁴P₆ = (14!)/(14-6)! = 2,162,160, But the family composed of 3 people can permute among them in 3! ways or 6 ways. So the total number of permutation will be ¹⁴P₆ x 3!
2,162,160 x 6 = 12,972,960 ways.
Another way to solve this problem is as follow:
5 + (3) people are considered (for the time being) as 6 entities:
The 1st has a choice among 14 ways
The 2nd has a choice among 13 ways
The 3rd has a choice among 12 ways
The 4th has a choice among 11 ways
The 5th has a choice among 10 ways
The 6th has a choice among 9ways
So far there are 14x13x12x11x10x9 = 2,162,160 ways
But the 3 (that formed one group) could seat among themselves in 3!
or 6 ways:
Total number of permutation = 2,162,160 x 6 = 12,972,960
Answer:
first and third
Step-by-step explanation:
Consider
y =
x + 3 ( multiply through by 2 )
2y = x + 6 ← third equation