The parent function is f(x) = x^3 with domain = all real numbers and range = all real numbers.
The given function is f(x) = x^3 - 2 with domain = all real numbers and range = all real numbers.
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:
Step-by-step explanation:
x and 6
6^2 is 36
x^2 is still x^2
now we need to find the square root of their sum
square root of ( 36 + x^2 )
I'm not that sure about this one i think it might be more simplified
Next time, please share your system of linear equations by typing only one equation per line:
<span>3x - 2y - 7 = 0 5x + y - 3 = 0 NO
</span><span>3x - 2y - 7 = 0
5x + y - 3 = 0 YES
Mult. the 2nd equation by 2 so as to obtain 2y, which will be cancelled out by - 2y in the first equation:
</span><span> 3x - 2y - 7 = 0
2(5x + y - 3 = 0)
Then:
3x - 2y - 7 = 0
10x +2y - 6 = 0
----------------------
13x - 13 = 0, so that x = 1. Find y by subbing 1 for x in either of the 2 given equations.</span>
Answer:
−16x+53
Step-by-step explanation:
Distribute
14−5(6−7)+18
↓
14−30+35+18
Add
14−30+35+18
↓
14−30+53
Combine like terms
14−30+53
↓
−16+53
