To solve this problem, we make use of the formula of
combination.
nCr = n! / r! (n – r)!
where n is the total number of subject teachers and r is
the number of subjects r = 1
For the English class n = 3
3C1 = 3! / 1! (3 – 1)! = 3
For the Algebra class n = 4
4C1 = 4! / 1! (4 – 1)! = 4
For the Biology class n = 2
2C1 = 2! / 1! (2 – 1)! = 2
The total number of different schedules would be the
product of the three combinations:
total combinations possible = 3 * 4 * 2
total combinations possible = 24
Given the description of the irregular garden, the area will be given by:
Area=(regular points)+1/2(irregular points)
regular points=1500
irregular points=420
thus
Area=1500+1/2(420)
Area=1500+210
Area=1710 ft²
Answer:
7/12
Step-by-step explanation:
5/6 = 10/12
1/4 = 3/12
10/12 - 3/12 = 7/12
Answer:
see explanation
Step-by-step explanation:
means the y-coordinate of the point
that lies on
.
Aha! Now we have a path to the solution!
We can test random values for
, such as
,
, or even
.
This leads us to drawing lines.
Answer: We draw the line
(equivalent of testing out random points), and where it intersects the graph of
! is our answer!
(Note: it can only intersect once, otherwise it would fail the vertical line test and wouldn't be a function)