Answer:
1/3
Step-by-step explanation:
The equation given to you is in y=mx+b form.
m is the slope which in this case would be 2/9.
b is the y-intercept which in this case would be 1/3
Answer: 34, 55, 89
Step-by-step explanation: Add the preceding two numbers to get the next number in the sequence.
21+13=34, 34+21=55, 55+34=89
Answer:
-1/6
Step-by-step explanation:
You turn the problem into 1/2 x -1/3. Doing the equation you get -1/6
Answer:
(6,6) only goes with Line 2
(3,4) goes with neither
(7,2) goes with both
Step-by-step explanation:
Ok to decide if a point is on a line you plug it in. If you get the same thing on both sides, then that point is on that line. If you don't get the same thing on both sides, then that point is not on that line.
Test (6,6) for -5x+6y=-23.
(x,y)=(6,6) gives us
-5x+6y=-23
-5(6)+6(6)=-23
-30+36=-23
6=-23
So (6,6) is not on -5x+6y=-23.
Test (6,6) for y=-4x+30
(x,y)=(6,6) give us
y=-4x+30
6=-4(6)+30
6=-24+30
6=6
So (6,6) is on y=-4x+30.
Test (3,4) for -5x+6y=-23.
(x,y)=(3,4) gives us
-5x+6y=-23
-5(3)+6(4)=-23
-15+24=-23
9=-23
So (3,4) is not on -5x+6y=-23.
Test (3,4) for y=-4x+30.
(x,y)=(3,4) gives us
y=-4x+30
4=-4(3)+30
4=-12+30
4=18
So (3,4) is not on y=-4x+30.
Test (7,2) for -5x+6y=-23.
(x,y)=(7,2) gives us
-5x+6y=-23
-5(7)+6(2)=-23
-35+12=-23
-23=-23
So (7,2) is on -5x+6u=-23.
Test (7,2) for y=-4x+30.
(x,y)=(7,2) gives us
y=-4x+30
2=-4(7)+30
2=-28+30
2=2
So (7,2) is on y=-4x+30
(x,y) Line 1 Line 2 Both Neither
(6,6) *
(3,4) *
(7,2) *
(6,6) only goes with Line 2
(3,4) goes with neither
(7,2) goes with both
Answer:
A) 56
B) 21
Step-by-step explanation:
A) The number of delegations possible is given by;
C(n,r) = n!/[(n - r)!(r!)]
In this question, n = 8 and r =3
Thus,
C(8,3) = 8!/[(8 - 3)!(3!)] = 56
B) Since a particular member must be in the delegation, the number of outcomes will now be;
C(n, r) - C(n-1,r)
Thus, we have;
C(8,3) - C(7,3)
= 56 - [7!/[(7 - 3)!(3!)]
= 56 - 35 = 21
