Hi there! The answer is y = 1/6x + 1/2
To find the inverse function x and y need to switch places.
![y = 6x - 3 \\ x = 6y - 3](https://tex.z-dn.net/?f=y%20%3D%206x%20-%203%20%5C%5C%20x%20%3D%206y%20-%203)
Now rewrite the equation, until it will be in standard form (slope-intercept form) again.
![x = 6y - 3](https://tex.z-dn.net/?f=x%20%3D%206y%20-%203)
Add 3.
![x + 3 = 6y](https://tex.z-dn.net/?f=x%20%2B%203%20%3D%206y)
Switch sides.
![6y = x + 3](https://tex.z-dn.net/?f=6y%20%3D%20x%20%2B%203)
Divide both sides by 6.
![y = \frac{1}{6} x+ \frac{3}{6} \\ y = \frac{1}{6} x + \frac{1}{2}](https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%7B1%7D%7B6%7D%20%20x%2B%20%20%5Cfrac%7B3%7D%7B6%7D%20%20%5C%5C%20y%20%3D%20%20%5Cfrac%7B1%7D%7B6%7D%20x%20%2B%20%20%5Cfrac%7B1%7D%7B2%7D%20)
Hence, the answer is y = 1/6x + 1/2.
~ Hope this helps you!
The bacteria present at t=37 minutes is found to be 8.40, with no change in growth rate.
<h3>What does population growth exponentially mean?</h3>
When a population's per capita growth rate remains constant, regardless of population size, exponential growth occurs, causing the population to grow exponentially as the population increases.
Given:
P = 340
It has been discovered that a specific bacterial population doubles in 20 minutes.
k = 2/20 = 0.1
t = 37 minutes
We know that,
P = P₀![e^{kt}](https://tex.z-dn.net/?f=e%5E%7Bkt%7D)
340 = P₀(
)
340 =P₀(40.44)
P₀ = 8.40
As a result, the bacteria that will be present in t=37 minutes is found to be 8.40 with no change in growth rate.
Learn more about exponential growth here:
brainly.com/question/13223520
#SPJ9
Answer:
![Var= 2.64](https://tex.z-dn.net/?f=Var%3D%202.64)
Step-by-step explanation:
Given
---Proportion
--- Sample Size
Required
Determine the variance
Variance (Var) is calculated as follows;
![Var= np(1 - p)](https://tex.z-dn.net/?f=Var%3D%20np%281%20-%20p%29)
Substitute values for n and p
![Var= 11 * 60\% * (1 - 60\%)](https://tex.z-dn.net/?f=Var%3D%2011%20%2A%2060%5C%25%20%2A%20%281%20-%2060%5C%25%29)
Convert percentage to decimal
![Var= 11 * 0.60 * (1 - 0.60)](https://tex.z-dn.net/?f=Var%3D%2011%20%2A%200.60%20%2A%20%281%20-%200.60%29)
![Var= 11 * 0.60 * 0.40](https://tex.z-dn.net/?f=Var%3D%2011%20%2A%200.60%20%2A%200.40)
![Var= 2.64](https://tex.z-dn.net/?f=Var%3D%202.64)
<em>Hence, the variance is 2.64</em>
We know that
The <span>abscissa is the x coordinate and the ordinate is the y coordinate
</span>so
for x=1.2
<span>8x–5y=14------> 8*1.2-5y=14-----> 5y=9.6-14-----> 5y=-4.4----> y=-0.88
the answer is
the ordinate is -0.88
see the attached figure</span>
Answer:
1 x 48, 2 x 24, 3 x 16, 4 x 12, or 6 x 8. Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24,
Step-by-step explanation:
u need to find the highest common factor