Answer:
h( x ) = ( x + 1 )^2 - 4 x(h)×(÷×1)^2-4
40 players multiplied by 30 teams = 1,200 players in the MLB
53 players multiplied by 32 teams = 1,696 players in the NFL.
1,696 - 1,200 = 496
There are 496 more players in the NFL then in the MLB.
Answer:
90 arrangements
Step-by-step explanation:
Since there are no repititions of letters, there are unique 10 letters in total.
THe number of arrangements would be 2 permutation 10. We need the formula for permutation. That is:
![nPr=\frac{n!}{(n-r)!}\\](https://tex.z-dn.net/?f=nPr%3D%5Cfrac%7Bn%21%7D%7B%28n-r%29%21%7D%5C%5C)
Now, n = 10 [total] and r is 2, so we have:
![nPr=\frac{n!}{(n-r)!}\\\\_{10}P_{2}=\frac{10!}{(10-2)!}\\=\frac{10!}{8!}\\=\frac{10*9*8!}{8!}\\=10*9\\=90](https://tex.z-dn.net/?f=nPr%3D%5Cfrac%7Bn%21%7D%7B%28n-r%29%21%7D%5C%5C%5C%5C_%7B10%7DP_%7B2%7D%3D%5Cfrac%7B10%21%7D%7B%2810-2%29%21%7D%5C%5C%3D%5Cfrac%7B10%21%7D%7B8%21%7D%5C%5C%3D%5Cfrac%7B10%2A9%2A8%21%7D%7B8%21%7D%5C%5C%3D10%2A9%5C%5C%3D90)
So, there can be 90 arrangements
Answer: 2z-15
Step-by-step explanation
Based on the visual image, AD is a line where a point O intersects somewhere on the line. AD is represented as 3z-11, while the segment from AO is represented as z+4.
In order to find the answer, we must subtract the entire line (AD) from AO in order to find the missing segment OD.
AD - AO = OD
(3z-11) - (z+4) = OD
Distribute the negative sign so it becomes:
(3z-11) -z - 4 = OD
Now combine like terms.
(3z-z) +(- 11 -4)= OD
2z - 15 = OD
And that is your answer!