Answer:
the y-intecept of the line is (0, -6)
Step-by-step explanation:
Given the linear equation in slope-intercept form: y = mx + b
where:
<em>m</em> = slope = 4
<em>b</em> = y-intercept = -6
The y-intercept is the value of <em>y</em> when <em>x</em> = 0.
Plug x = 0 into the equation to solve for the y-intercept:
y = 4x - 6
y = 4(0) - 6
y = 0 - 6
y = -6
Therefore, the y-intecept of the line is (0, -6)
Answer:
f(x) = [x – (4 + √20)][x – (4 – √20]
Step-by-step explanation:
In order to know the function that best describes the given f(x) that best reveals it's minimum or maximum, we need to know solve for x.
x² – 8x – 4 = 0
Using completing the square method
x² – 8x = 4
x² – 8x + 4² = 4 + 4²
(x – 4)² = 20
x = 4 ±√20
Therefore
f(x) = [x – (4 + √20)][x – (4 – √20]
The first one
Because you are dividing the second triangle by the first one
We have been given that a culture of bacteria has an initial population of 22,000 bacteria and doubles every 5 hours. Using the formula 
, where P(t) is the population after t hours, 
is the initial population, t is the time in hours and d is the doubling time.
We are asked to find the population of bacteria after 17 hours.
First of all, we will substitute our given values in doubling life formula as:
Now to find population of bacteria after 17 hours, we will substitute 
in our formula as:
Therefore, the bacteria population will be 232,233 after 17 hours.
<span>34m = 30m
+14= +22=
4m = 8
m = 2</span>
