Answer:
56
Step-by-step explanation:
Given data:
{1 ,2 ,4, 6, 8, 9}
Formula for combinations is used since the order does not matter and repetition is allowed.
nCr = (n + r -1) /(r! * (n-1)!) where n is the total number of items and r is the items to be picked
6C3 = (6 + 3 - 1)! /(3! * (6 -1)!
6C3 = 8!/(3! *5!) Simplifying the factorials)
6C3 = 40320/(6*120)
6C3 = 40320/720
6C3 = 56
Answer:
1. Slope: -3/4
2. Point-slope: y+4=-3/4(x+4)
3. Slope-intercept: y=-3/4x-7
4. Standard form: 3x+4y=-28
Step-by-step explanation:
1. To find the slope, use the slope formula, which is: y2-y1/x2-x1.
Plug the y-coordinates into the top part of the equation and the x-coordinates into the bottom part.
2--4/-4-4
2+4/-8 = 6/-8, or 3/-4
2. Use the slope and one of the x and y coordinates to put the equation into point-slope form. Recall that point-slope form is: y-y1=m(x-x1). Let's use the coordinates (4,-4).
y+4=-3/4(x+4)
3. To put the point-slope equation into slope-intercept form (y=mx+b), you need to distribute -3/4 to x+4 and subtract 4 from both sides.
When you distribute, the equation becomes:
y+4=-3/4x-3
Finally, when you subtract 4, the equation becomes:
y=-3/4x-7
4. Standard form is written as x+y= #.
To convert y=mx+b to standard form, first subtract -3/4x from both sides.
-3/4x + y = -7
Multiply everything by 4
3x + 4y = -28
Answer:
Option (4)
Step-by-step explanation:
Domain of a relation or function is the set of input values (x-values) and Range is the set of output values (y-values).
Therefore, from the given table in the attachment,
Domain → {10, 15, 19, 32}
Range → {-1, 5, 9}
Option (4) will be the correct option.
Answer:
airplane A
Step-by-step explanation:
Answer:
$2x
Step-by-step explanation:
- x × 2 = 2x
I hope this helps!
