Answer:
Using the combination formula:
Number of combination of r object chosen from the total object i.e n is given by:
As per the statement:
4 candy bars be chosen from a store that sells 30 candy bars
Number of candy bars chosen from a store that sells 30 candy bars(r)= 4
and
Total candy bars(n) = 30
then substitute in the given formula we have;
⇒
⇒
Simplify:
⇒
therefore, 27,405 ways can 4 candy bars be chosen from a store that sells 30 candy bars
Lets check the first point (0,6)
3*0+4=4 no good
0+6 =6 good
0^2+6 =6 good
6 * (7/6) ^0 =6 good
Lets check the second point (1,7)
3*1+4= we don't care since it didn't work for (0,6)
1+6 =7
1^2+6 =7
6 * (7/6) ^1 =7
Lets check the third point (2,10)
3x+4= we still don't care
2+6 = 8 no good
2^2+6 =10 good
6 * (7/6) ^2 =6 * 49/36 =49/6 no good
f(x) = x^2 +6
Let the width of room be =x mtrs
Then the length is x+2 mtrs
As Perimeter = 2(l+b) = 2(x+x+2)
16 = 2 ( 2x+2)
16/2 = 2x +2
8=2x+2
2x= 8-2 = 6
x = 6/2 =3 mtrs
Therefore width of the room is 3 mtrs
Answer:
$144.50/8.50 = n
Explanation:
The word each indicates this equation will use division. We know the total is 144.50, so that will be the number being divided. 8.50 is the number 144.50 is divided by. The quotient will be represented by the variable, n.
Xy - x - y + 1
explanation: distribute (x-1)(y-1) —> x(y-1) - 1 (y-1) —> xy - x - 1(y-1) —> xy - x - y + 1
