The function g(x) is a rational function, and none of the options represent the range of the function g(x)
<h3>How to determine the range of the function?</h3>
The function is given as:
g(x) = -2/x + 1
The above function is undefined at point x = 0.
This is so because -2/x is undefined.
So, we have:
g(0) = -undefined + 1
g(0) = undefined
This means that the range of the function is:
(-infinity, 1) and (1, infinity)
None of the options represent the range of the function g(x)
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Answer:
The height is 7 cm
Step-by-step explanation:
210 × 2 = 420
12 × 5 = 60
420 ÷ 60 = 7
To get the volume of the pile it is 4 x 4 x 16 so if each cord is =to 1 then the answer is 256
Answer:
The number of bacteria at initial = 187
Step-by-step explanation:
Given that the population of bacteria in a culture grows at a rate proportional to the number of bacteria present at time t.


Integrating both side we get
㏑ N = k t + C ------- (1)
Now given that after 3 hours it is observed that 500 bacteria are present and after 10 hours 5000 bacteria are present.
⇒ ㏑ 500 = 3 k + C -------- (2)
⇒ ㏑ 5000 = 10 k + C ------ (3)
⇒ ㏑ 5000 - ㏑ 500 = 7 k
⇒ ㏑
= 7 k
⇒ ㏑ 10 = 7 k
⇒ k = 0.329
Put this value of k in equation (2),
⇒ ㏑ 500 = 3 × 0.329 + C
⇒ C = 5.23
Put this value of C in equation 1 we get,
⇒ ㏑ N = k t + 5.23
Initially when t = 0 , then
⇒ ㏑ N = 5.23
⇒ N = 187
Thus the number of bacteria at initial = 187
Answer:
C
Step-by-step explanation: