Answer:
Step-by-step explanation:
133
102
136
The formula for C(n,r), also known as "n choose r" or a combination,
is:
nCr = n! / (r!(n-r)!),
where n is the total number of options and r is number you must choose
The number generated is the total number of possible combinations.
The ! means factorial. For example, 4! = 4 x 3 x 2 x 1
Answer:
<u>Slope = 3</u>
Step-by-step explanation:
Slope is calculated as the "Rise/Run" of a straight line. The Rise is the change in the value of y, or the amount y changes per change in x. Run is the change in the x value. A line with a run of 3 and a rise of 9 is calculated as:
Rise/Run = 9/3 or 3
This means that the value of y will increase by 3 for every increase of 1 in the value of 3.
Slope in "m" in the slope-intercept form of a straight line equation: y = mx + b
The line y = 3x + 2 tells us the it has a slope of 3 and intercepts the y axis at x = 2.
Example points (y = 3x + 2)
(0,2)
(1,5)
(4,14)
Note that y changes by 12 when x changes by 4. Rise/Run = 12/4 or 3.
Answer:
x = 0, y = -2
Step-by-step explanation:
-3x - 4y = 8 (1)
-4x - 3y=6 (2)
Multiply (1) by -4 and (2) by -3, we have:
12x + 16y = - 32 (3)
12x + 9y= -18 (4)
Subtract (4) from (3), we have:
(12x + 16y) - (12x + 9y) = - 32 - (-18)
<=> 7y = - 14
=> y = - 2
Replace y with - 2 in (3), we have x = 0
