<span><span>(124664347874) times </span><span>(558877223788889)</span></span><span>=<span><span>6.96720646453*10^</span><span>25 </span></span></span>
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:
12/16 and 5/16
Step-by-step explanation:
We are given two fractions with denominator 4 and 16.
To find the least common denominator, of 4 and 16.
Factorise 4 and 16.
4 = 2x2
16 = 2x2x2x2
i.e. 4 divides 16.
Hence Least common denominator = bigger number = 16
Make the given fractions to equivalent fractions with common denominator 16.
3/4 = 4(3)/4(4) = 12/16 and
5/16 = 1(5)/16(1)= 5/16
Hence answer would be
12/16 and 5/16
This question can be also asked as what is the scientific notation of the number 240,000. The scientific notation is written as <span>a whole number multiplied by the power of ten. It should be written as follows:
2.4 x 10^5
Hope this helps. Have a nice day.</span>
Answer:
7 groups
Step-by-step explanation:
Each group would have 1 blue marble and 3 green marbles
