Answer:
No.
First, multiply 6 x 4 ($4 is the amount of money he makes from each sale).
6 x 4 = $24
If Lin's goal is $32, and he sells 6 boxes of popcorn for only $24, then he will not reach his goal in that specified range.
Answer:
x ≠ 3
Step-by-step explanation:
The denominator of ...
f(x) = (x+2)/(x -3)
is zero when x=3, so the function is not defined there. Values of x for which the function is not defined are not part of the domain.
The restriction is: x ≠ 3.
_____
Please note that parentheses are required around numerators and denominators when a rational function is written in plain text. When it is typeset:
![f(x)=\dfrac{x+2}{x-3}](https://tex.z-dn.net/?f=f%28x%29%3D%5Cdfrac%7Bx%2B2%7D%7Bx-3%7D)
the division bar serves as a grouping symbol. In plain text, we cannot tell where numerator and denominator begin and end unless some other grouping symbol (parentheses) is used.
Given:
The logarithmic expression is:
![\log_718](https://tex.z-dn.net/?f=%5Clog_718)
To find:
The equivalent expression of given expression by using change-of-base formula.
Solution:
The change-of-base formula is:
![\log_ba=\dfrac{\log_ca}{\log_cb}](https://tex.z-dn.net/?f=%5Clog_ba%3D%5Cdfrac%7B%5Clog_ca%7D%7B%5Clog_cb%7D)
The given expression is:
![\log_718](https://tex.z-dn.net/?f=%5Clog_718)
Using the change-of-base formula, we get
![\log_718=\dfrac{\log_c18}{\log_c7}](https://tex.z-dn.net/?f=%5Clog_718%3D%5Cdfrac%7B%5Clog_c18%7D%7B%5Clog_c7%7D)
Where, is a constant and c>0.
Let
, then
![\log_718=\dfrac{\log_{10}18}{\log_{10}7}](https://tex.z-dn.net/?f=%5Clog_718%3D%5Cdfrac%7B%5Clog_%7B10%7D18%7D%7B%5Clog_%7B10%7D7%7D)
Therefore, the correct option is a.
If half of Karen's collection (4) is 1/3 of Mary's, and half of Karen's collection is 2, then 2 x 3 is how many Mary has, right? Once you know how many books Mary has, you can add how many Karen has to get your answer.