To evaluate the combination we proceed as follows:
21C3
Given nCk we shall have:
n!/[(n-k)!k!]
thus plugging the values in the expression we get:
21!/[(21-3)!3!]
=21!/(18!×3!)
=1330
Answer: 1330
Input of 3.....output of -6.......(3 * -2 = -6)
input of -2....output of 4........(-2 * -2 = 4)
input of 0....output of 0.........(0 * -2 = 0)
function rule : multiply the input by -2
2x + 3y = 1,470
To solve using the slope intercept method, we need to solve for y.
First, subtract 2x from each side.
3y = -2x +1470
The, we need to divide both sides of the equation by by 3 to solve for y
y = -2/3 x + 490.
We know the y intercept is 470, which means on the y axis we place at point at positive 490. The slope is -2/3. We go down 2 units and over to the right 3 units and place a point. We draw a line connecting these two points extending only to the right until it reaches the x axis. We cannot have negative x because we cannot sell negative lunch specials. We cannot have negative y, because y is the number of specials sold.
Answer:
i believe its b but its kind of hard to read
Step-by-step explanation:
Part A
5x - 5 >= 10 or-3x + 1 > 13
1) This is a disjunction (OR)
5x - 5 >= 10
5x >= 15
x >= 3
or
-3x + 1 > 13
-3x > 12
x < -4
Answer
x <- 4 or x >= 3
Part C:
1) This is a conjunction (And)
5x+ 3 <= 18 and 4 - x < 6
5x <= 15 and - x < 2
x <= 3 and x > -2
Answer
-2 < x <= 3
