Answer:
(x-9) (x-3)
Step-by-step explanation:
x^2 -12x +27
What 2 numbers multiply to 27 and add to -12
-9* -3 = 27
-9-3 = -12
(x-9) (x-3)
Answer:
The members of the cabinet can be appointed in 121,080,960 different ways.
Step-by-step explanation:
The rank is important(matters), which means that the order in which the candidates are chosen is important. That is, if we exchange the position of two candidates, it is a new outcome. So we use the permutations formula to solve this quesiton.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:

If there are 14 eligible candidates for these positions (where rank matters), how many different ways can the members of the cabinet be appointed?
Permutations of 8 from a set of 14. So

The members of the cabinet can be appointed in 121,080,960 different ways.
The first one is the Last choice, and the second one is the third choice! please mark as brainliets
Answer:
i) x points; ii) 2x - 75 = -25; iii) x = 25
Step-by-step explanation:
i) Starting points
Let's say you had x points before doubling your score.
(ii) The equation
After doubling score: 2x points
After losing 75 points: (2x - 75) points
At end of game: -25 points
The equation is
2x - 75 = -25
iii) Solution to equation
2x - 75 = -25 Add 75 to each side
2x = 50 Divide each side by 2
x = 25
Given data:
The first set of equations are x+y=4, and x=6.
The second set of equations are 3x-y=12 and y=-6.
The point of intersection of first set of te equations is,
6+y=4
y=-2
The first point is (6, -2).
The point of intersection of second set of te equations is,
3x-(-6)=12
3x+6=12
3x=6
x=2
The second point is (2, -6).
The equation of the line passing through (6, -2) and (2, -6) is,

Thus, the required equation of the line is y=x-8.