Answer:
16x³ + 9x² + 9x + 13
Step-by-step explanation:
Given
6x³ + 8x² - 2x + 4 and 10x³ + x² + 11x + 9
Sum the 2 expressions by adding like terms, that is
= (6x³ + 10x³) + (8x² + x²) + (- 2x + 11x) + (4 + 9)
= 16x³ + 9x² + 9x + 13
28. 5/7(x)=20
X=28
Hope this helps! :)
Answer:
The sequence converges to 1
Step-by-step explanation:
Given
Require
Description of the sequence
The given sequence follows:
i.e.
For every term,
In other words,
as the value of n increases, approaches 1
<em>Hence, (c) is true</em>
Question:
(a) How many bacteria would be found in 24 hours
(b) How many bacteria would be found in 2 days
(c) How long for 1000 bacteria to be found
Answer:
(a) 282429536481 bacteria
(b) bacteria
(c) 6 days
Step-by-step explanation:
The question illustrates an exponential function
Where
--- i.e. triples
Solving (a): Bacteria in 24 hours
In this case:
Substitute , and
So:
bacteria
Solving (b): Bacteria in 2 days
So:
Substitute , and
So:
bacteria
Solving (c): How long for 1000 bacteria
In this case:
Substitute , and
So:
Take Log of both sides
This gives:
Make x the subject
<em>Hence: It takes 6 days</em>