The expressions is undefined in the set of the real numbers.
Y = 3.5x + 6
Shows the 6 inital fee plus the 3.50 for each pound
The minimum number of T-shirt that they must sell to raise $500 is 67 T-shirts
Let x represent the number of Pi Day T-shirts sold.
They are selling Pi Day T-shirts for $7.50 each, So to raise $500:
7.5x > 500
Dividing through by 7.5:
7.5x / 7.5 > 500 / 7.5
x > 66.7
Hence, the minimum number of T-shirt that they must sell to raise $500 is 67 T-shirts
Find out more at: brainly.com/question/25285332
Answer:
range= y>0 domain is all real numbers
y intercept is 1
Answer:
![\ln( \frac{8}{25} ) = 3v - 2u](https://tex.z-dn.net/?f=%5Cln%28%20%5Cfrac%7B8%7D%7B25%7D%20%29%20%20%3D%203v%20%20-%20%202u)
Step-by-step explanation:
We have that
![u= \ln(5)](https://tex.z-dn.net/?f=u%3D%20%20%5Cln%285%29%20)
and
![v = \ln2](https://tex.z-dn.net/?f=v%20%3D%20%20%5Cln2)
This implies that;
![5 = {e}^{u}](https://tex.z-dn.net/?f=5%20%3D%20%20%7Be%7D%5E%7Bu%7D%20)
and
![2 = {e}^{v}](https://tex.z-dn.net/?f=2%20%3D%20%20%7Be%7D%5E%7Bv%7D%20)
Now find and expresion for
![\ln( \frac{8}{25} )](https://tex.z-dn.net/?f=%20%20%5Cln%28%20%5Cfrac%7B8%7D%7B25%7D%20%29%20)
Which is
![\ln( \frac{8}{25} ) = ln(8) - ln(25)](https://tex.z-dn.net/?f=%5Cln%28%20%5Cfrac%7B8%7D%7B25%7D%20%29%20%20%3D%20%20ln%288%29%20%20-%20%20ln%2825%29%20)
![\ln( \frac{8}{25} ) = ln( {2}^{3} ) - ln( {5}^{2} )](https://tex.z-dn.net/?f=%5Cln%28%20%5Cfrac%7B8%7D%7B25%7D%20%29%20%20%3D%20%20ln%28%20%7B2%7D%5E%7B3%7D%20%29%20%20-%20%20ln%28%20%20%7B5%7D%5E%7B2%7D%20%29%20)
![\ln( \frac{8}{25} ) = 3 ln( {2} ) - 2ln(5)](https://tex.z-dn.net/?f=%5Cln%28%20%5Cfrac%7B8%7D%7B25%7D%20%29%20%20%3D%203%20ln%28%20%7B2%7D%20%29%20%20-%20%202ln%285%29%20)
![\ln( \frac{8}{25} ) = 3v - 2u](https://tex.z-dn.net/?f=%5Cln%28%20%5Cfrac%7B8%7D%7B25%7D%20%29%20%20%3D%203v%20%20-%20%202u)