6) On a trip to his grandparents, Donny drove 60 miles per hour for 45 minutes and 50 miles per hour for 30 minutes. How many mi
2 answers:
You might be interested in
Answer:
(0,5)
Step-by-step explanation:
Perpendicular lines have slopes which are negative reciprocals of each other. The slope of the line y=1/2x + 6 is 1/2. The slope perpendicular to it is -2.
Using m=-2, substitute it and (4,-3) into the point slope form and simplify to find the y-intercept.
The equation is now in slope intercept form y=mx+b and b is the y-intercept. The y-intercept of y=-2x+5 is (0,5).
9) We need to find the limit as x approaches 2 of f(x) - g(x).
When we are approaching a certain value, we are essentially finding values that are infinitesimally approaching x = 2, to the point where we find the exact value when x hits 2.
Thus, by substituting x = 2 into f(x) - g(x), we are finding the value at which the functions' difference hits x = 2.
![\lim_{x \to 2} [f(x) - g(x)] = \lim_{x \to 2}[\frac{3x + 2}{4} - x^{2} + 3]](https://tex.z-dn.net/?f=%5Clim_%7Bx%20%5Cto%202%7D%20%5Bf%28x%29%20-%20g%28x%29%5D%20%3D%20%5Clim_%7Bx%20%5Cto%202%7D%5B%5Cfrac%7B3x%20%2B%202%7D%7B4%7D%20-%20x%5E%7B2%7D%20%2B%203%5D)
Every other question repeats this process, so by applying the above process, your answers should come out smoothly.
Let me know if you need any more assistance, and I can guide you through them.
When we are approaching a certain value, we are essentially finding values that are infinitesimally approaching x = 2, to the point where we find the exact value when x hits 2.
Thus, by substituting x = 2 into f(x) - g(x), we are finding the value at which the functions' difference hits x = 2.
Every other question repeats this process, so by applying the above process, your answers should come out smoothly.
Let me know if you need any more assistance, and I can guide you through them.