Answer:
Step-by-step explanation:
Two ways to solve
y2=8 and x2=2
y1=-3 and x2=1
OR
y2=-3 and x2=1
y1=8 and x1=2
Answer: 3/4
Step-by-step explanation:
Slope formula is y2-y1 / x2-x1 or in this case 7-4 / 1--3 which equals = 3/4
Okay so she paid 100 dollars. There is 6 percent every month.
100*0.06=6
So, after 1 year it will be at 106 dollars...
But, we are looking for 6 months which is half of the year.
6/2=3...
So she will pay 3 dollars in interest.
The Average Rate of Change<span> function describes the average rate at which one quanity is changing with respect to something else changing.
</span><span> For this case, the first thing you should do is observe the intervals for which the function decreases.
Remember that the definition of average rate of change is given by:
</span>

<span> For AVR to be negative, it must necessarily pass:
</span>

<span>
The interval that meets both conditions is:
x = 0 to x = 2.5
Answer: x = 0 to x = 2.5 option 3</span>
Using the profit function, it is found that:
a) She earns $36 after 25 years.
b) The function was shifted right 4 units and up 1 units.
<h3>What is the profit function?</h3>
The profit, in x years after 2015, is given by:
![p(x) = 12\sqrt[3]{x + 2}](https://tex.z-dn.net/?f=p%28x%29%20%3D%2012%5Csqrt%5B3%5D%7Bx%20%2B%202%7D)
Item a:
She earns $36 after x years, considering x for which p(x) = 36, hence:
![p(x) = 12\sqrt[3]{x + 2}](https://tex.z-dn.net/?f=p%28x%29%20%3D%2012%5Csqrt%5B3%5D%7Bx%20%2B%202%7D)
![36 = 12\sqrt[3]{x + 2}](https://tex.z-dn.net/?f=36%20%3D%2012%5Csqrt%5B3%5D%7Bx%20%2B%202%7D)
![\sqrt[3]{x + 2} = 3](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%20%2B%202%7D%20%3D%203)
![(\sqrt[3]{x + 2})^3 = 3^3](https://tex.z-dn.net/?f=%28%5Csqrt%5B3%5D%7Bx%20%2B%202%7D%29%5E3%20%3D%203%5E3)


She earns $36 after 25 years.
Item b:
The new function is:
![h(x) = 12\sqrt[3]{x - 2} + 1](https://tex.z-dn.net/?f=h%28x%29%20%3D%2012%5Csqrt%5B3%5D%7Bx%20-%202%7D%20%2B%201)
At the domain, we have that
, that is,
, hence it was shifted right 4 units.
At the range, we have that
, hence it was shifted up 1 unit.
You can learn more about functions at brainly.com/question/24380382