Answer: y = 2000x + 89000
Step-by-step explanation:
Given that;
initial purchase amount = $89,000
price after 6 years = $ 101,000
years = 6
now
slope = ( 101000 - 89000) / 6
slope = 12000 / 6
slope = 2000
therefore the linear equation that models the value of the house after x years will be;
y = 2000x + 89000
What?
The slope can be found between two points by finding the change in values divided by the change in values.
It’s D because the line is on the positive side of the graph. The y-intercept is positive 5 and x-intercept is positive 4, which makes a slope of 5/4.
Hope this helped:)
Answer: C. ![\pi](https://tex.z-dn.net/?f=%5Cpi)
=======================================================
Explanation:
The x intercept always occurs when y = 0.
Use the unit circle to determine that
when ![\theta = \frac{\pi}{2} \text{ and } \theta = \frac{3\pi}{2}](https://tex.z-dn.net/?f=%5Ctheta%20%3D%20%5Cfrac%7B%5Cpi%7D%7B2%7D%20%5Ctext%7B%20and%20%7D%20%5Ctheta%20%3D%20%5Cfrac%7B3%5Cpi%7D%7B2%7D)
So if
, then we have
![y = \cos\left(\frac{1}{2}x\right)\\\\y = \cos\left(\frac{x}{2}\right)\\\\y = \cos\left(\frac{\pi}{2}\right)\\\\y = 0\\\\](https://tex.z-dn.net/?f=y%20%3D%20%5Ccos%5Cleft%28%5Cfrac%7B1%7D%7B2%7Dx%5Cright%29%5C%5C%5C%5Cy%20%3D%20%5Ccos%5Cleft%28%5Cfrac%7Bx%7D%7B2%7D%5Cright%29%5C%5C%5C%5Cy%20%3D%20%5Ccos%5Cleft%28%5Cfrac%7B%5Cpi%7D%7B2%7D%5Cright%29%5C%5C%5C%5Cy%20%3D%200%5C%5C%5C%5C)
which shows us that
is the location of one of the infinitely many x intercepts for this function.