Answer:
A. 1, 287 ways
B. 154,440 ways
Step-by-step explanation:
A. We want to choose 5 objects from a total 13, without considering the order in which they are chosen.
The correct way to do this is by using the combination formula since order is not considered;
Thus we have ; 13 C 5 read as 13 combination 5;
Mathematically, n C r is ; n!/(n-r)!r!
Thus, we have ;
13!/(13-8)!8! = 13!/5!8! = 1,287 ways
B. By considering order, we shall be using the permutation formula;
Mathematically n P r = n!/(n-r)!
Read as n permutation r;
Using the numbers involved, we have ; 13 P 5
= 13!/(13-5)! = 13!/8! = 154,440 ways
The equivalent of 4 meters is 4.374 yards
Answer:

Step-by-step explanation:
She has a budget of $150, which means that she can spend no more than that amount. Therefore, use the less than or equal to symbol: ≤
Each folder is $2.15, so you are going to multiply: 2.15 × f
Each notebook is $4.60, so you will multiply: 4.6 × n
You want to know how many notebooks and folders you can buy for $150, so add the notebooks and folders.
Make the equation:

:Done
Based on the docx you showed me, the equation for the parabola is

and you want a table of values for a linear equation that intersects the parabola at (5, 6) and (-2, 34).
If you use these two points to create a line we get the equation:

(I just used point slope form)
This can be simplified to:

Now we just need to create a table of points on this line. We already have the points you gave and we can also use the y-intercept:

and the x-intercept:

.
So our table of value can be:
x | y
______|________
-2 | 34
0 | 242 / 7
5 | 6
121/20 | 0