Since g(6)=6, and both functions are continuous, we have:
![\lim_{x \to 6} [3f(x)+f(x)g(x)] = 45\\\\\lim_{x \to 6} [3f(x)+6f(x)] = 45\\\\lim_{x \to 6} [9f(x)] = 45\\\\9\cdot lim_{x \to 6} f(x) = 45\\\\lim_{x \to 6} f(x)=5](https://tex.z-dn.net/?f=%5Clim_%7Bx%20%5Cto%206%7D%20%5B3f%28x%29%2Bf%28x%29g%28x%29%5D%20%3D%2045%5C%5C%5C%5C%5Clim_%7Bx%20%5Cto%206%7D%20%5B3f%28x%29%2B6f%28x%29%5D%20%3D%2045%5C%5C%5C%5Clim_%7Bx%20%5Cto%206%7D%20%5B9f%28x%29%5D%20%3D%2045%5C%5C%5C%5C9%5Ccdot%20lim_%7Bx%20%5Cto%206%7D%20f%28x%29%20%3D%2045%5C%5C%5C%5Clim_%7Bx%20%5Cto%206%7D%20f%28x%29%3D5)
if a function is continuous at a point c, then

,
that is, in a c ∈ a continuous interval, f(c) and the limit of f as x approaches c are the same.
Thus, since

, f(6) = 5
Answer: 5
Answer:
5.5 miles over 2 hours--> 5.5/2= 2.75 miles per hour was his average walking speed. 5.5 miles over 2.5 hours --> 5.5/2.5= 2.2 miles per hour on the return trip meaning that his average speed was (2.75-2.2= 0.55) 0.55 miles per hour lower on the return trip
Step-by-step explanation:
I hope this helps you :)
<em><u>-KeairaDickson</u></em>
The value of log(0.47) after rounding to 4 decimal place is -0.3279
Option D
Given :
Find the value of log(0.47) using calculator
To find the log value we use the calculator
here we are asked to find out log (0.47) that is the log (decimal)
we cannot find the log value without calculator because we have decimal argument inside log.
Use scientific calculator
Press log first then enter the number 0.47 inside a parenthesis
Press enter , it will show you the log(0.47)
log(0.47) =-0.327902142
Now round the answer to 4 decimal places
We have 0 in the 5th decimal place . so we keep 9 as it is
log(0.47) =-0.3279
Learn more : brainly.com/question/10101390
Answer:
CP = 8 cm
Step-by-step explanation:
Given two chords that intersect inside a circle, then then the product of the parts of one chord is equal to the product of the parts of the other chord, that is
DP × CP = AP × PB ← substitute values
6 × CP = 12 × 4
6CP = 48 ( divide both sides by 6 )
CP = 8
Answer:
B) 
Step-by-step explanation:

Hope this helps