Answer:
Option B)
Inches
Step-by-step explanation:
Maria's Centipede =
inches =
inches
Jerome Centipede = 
<u><em>To see how much longer Maria's centipede was than Jerome's, we'll subtract the two:</em></u>
=> 
=> 
=>
inches
=>
Inches
Answer: 11
Step-by-step explanation: plug in 4 for x
3(4) - 1 = 12 - 1 = 11
By analyzing when the piecewise function increases and when it decreases, we can conclude that the true statement is:
"The function is increasing over the interval −8≤x≤−2."
<h3>Which statements are true?</h3>
We know that our function is made of straight lines that connect:
- Point (-8, 3) with (-2, 8) {This is an increasing line}
- Point (-2, 8) with (2, 8) {This is a horizontal line}
- Point (3, 0), and (7, -7) {This is a decreasing line}
(to see if it increases or decreases, compare the y-value of the second and first point. If the second is larger, then the line increases).
Then the statement that is true is:
3) "The function is increasing over the interval −8≤x≤−2."
If you want to learn more about piecewise functions, you can read:
brainly.com/question/3628123
Answer:
B. x<27
Step-by-step explanation:
The shelter has 165 animals.
The shelter must keep its total occupancy below 300.
The shelter takes in an average of 5 animals per day. If x is the number of days, then in x days the shelter takes 5x animals. In total there will be
165+5x animals. This number must be less than 300, so

Answer:

Step-by-step explanation:
![\ln \dfrac{4y^5}{x^2}\\\\=\ln(4y^5) - \ln(x^2)~~~~~~~~~~~;\left[ \log_b\left( \dfrac mn \right) = \log_b m - \llog_b n \right]\\\\=\ln 4 + \ln y^5 - 2\ln x~~~~~~~~~~~~;[\log_b m^n = n \log_b m ~\text{and}~\log_b(mn) = \log_b m + \log_b n ]\\\\=\ln 4 + 5 \ln y -2 \ln x\\\\=\ln 4 -2 \ln x +5 \ln y](https://tex.z-dn.net/?f=%5Cln%20%5Cdfrac%7B4y%5E5%7D%7Bx%5E2%7D%5C%5C%5C%5C%3D%5Cln%284y%5E5%29%20-%20%5Cln%28x%5E2%29~~~~~~~~~~~%3B%5Cleft%5B%20%5Clog_b%5Cleft%28%20%5Cdfrac%20mn%20%5Cright%29%20%20%3D%20%5Clog_b%20m%20-%20%5Cllog_b%20n%20%5Cright%5D%5C%5C%5C%5C%3D%5Cln%204%20%2B%20%5Cln%20y%5E5%20-%202%5Cln%20x~~~~~~~~~~~~%3B%5B%5Clog_b%20m%5En%20%3D%20n%20%5Clog_b%20m%20~%5Ctext%7Band%7D~%5Clog_b%28mn%29%20%3D%20%5Clog_b%20m%20%2B%20%5Clog_b%20n%20%5D%5C%5C%5C%5C%3D%5Cln%204%20%2B%205%20%5Cln%20y%20-2%20%5Cln%20x%5C%5C%5C%5C%3D%5Cln%204%20-2%20%5Cln%20x%20%2B5%20%5Cln%20y)