Answer:
domain: (4, 1, 0, -1, 1)
range: (2, 3, 0, -1, -3)
Step-by-step explanation:
domain: x-values
range: y-values
The length, we'll call it <em>l</em> is 2 meters less than the height, which we'll call <em>h</em>. The expression that will model this problem is <em>h-2</em><em>, </em>or as an equation, <em>l=h-2</em><em />.
:)
Not sure but i think its both 1/8ths...not sure though...sorry
Answer:
11 positive integers can be expressed.
Step-by-step explanation:
Consider the provided information.
The number of possible prime numbers are 5,7,11,and 13.
There are 4 possible prime numbers.
How many positive integers can be expressed as a product of two or more of the prime numbers, that means there can be product of two numbers, three number or four numbers.
The formula to calculate combinations is: ![^nC_r=\frac{n!}{r!(n-r)!}](https://tex.z-dn.net/?f=%5EnC_r%3D%5Cfrac%7Bn%21%7D%7Br%21%28n-r%29%21%7D)
The number of ways are:
![^4C_2+^4C_3+^4C_4=\frac{4!}{2!(4-2)!}+\frac{4!}{3!(4-3)!}+\frac{4!}{4!}](https://tex.z-dn.net/?f=%5E4C_2%2B%5E4C_3%2B%5E4C_4%3D%5Cfrac%7B4%21%7D%7B2%21%284-2%29%21%7D%2B%5Cfrac%7B4%21%7D%7B3%21%284-3%29%21%7D%2B%5Cfrac%7B4%21%7D%7B4%21%7D)
![^4C_2+^4C_3+^4C_4=\frac{4!}{2!2!}+\frac{4!}{3!}+1](https://tex.z-dn.net/?f=%5E4C_2%2B%5E4C_3%2B%5E4C_4%3D%5Cfrac%7B4%21%7D%7B2%212%21%7D%2B%5Cfrac%7B4%21%7D%7B3%21%7D%2B1)
![^4C_2+^4C_3+^4C_4=6+4+1](https://tex.z-dn.net/?f=%5E4C_2%2B%5E4C_3%2B%5E4C_4%3D6%2B4%2B1)
![^4C_2+^4C_3+^4C_4=11](https://tex.z-dn.net/?f=%5E4C_2%2B%5E4C_3%2B%5E4C_4%3D11)
Hence, 11 positive integers can be expressed.