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>
Answer:
<em>x</em> = <em>y</em> + 6<em>z</em>
Step-by-step explanation:
The points: (0,4), (1,8),(2,10) is NOT a linear function as it doesnt pass the verticle line test. Linear function should always be in a straight line. Examples of linear functions: 4x + 3y = 6. Examples of nonlinear functions: y = 8x^2 + 10.
Answer ; -1/2
when expanded
5-8a-2+3a=13
5a=3-13
a=-5/10
a= -1/2
Answer:
x = 2m
Step-by-step explanation:
2m−5−x+19=14
Step 1: Add -2m to both sides.
2m−x+14+−2m=14+−2m
−x+14=−2m+14
Step 2: Add -14 to both sides.
−x+14+−14=−2m+14+−14
−x=−2m
Step 3: Divide both sides by -1.
−x
/−1
=
−2m
/−1
x = 2m