Answer:
Step-by-step explanation:
The function is 
Changing functional notation of a(m) to y:
Now, interchanging m and y:
Now, solving for y:
![e^{0.423y}=\frac{m}{0.6735}\\ln[e^{0.423y}]=ln[\frac{m}{0.6735}]\\0.423y=ln(\frac{m}{0.6735})\\y=\frac{ln(\frac{m}{0.6735})}{0.423}](https://tex.z-dn.net/?f=e%5E%7B0.423y%7D%3D%5Cfrac%7Bm%7D%7B0.6735%7D%5C%5Cln%5Be%5E%7B0.423y%7D%5D%3Dln%5B%5Cfrac%7Bm%7D%7B0.6735%7D%5D%5C%5C0.423y%3Dln%28%5Cfrac%7Bm%7D%7B0.6735%7D%29%5C%5Cy%3D%5Cfrac%7Bln%28%5Cfrac%7Bm%7D%7B0.6735%7D%29%7D%7B0.423%7D)
Thus, the inverse function is:
<span>y = -1/2x +2 1/2</span>
General equation;
y = mx + c
Calculating the slope;
Change in y/ (change in x) = gradient m
(2-1)/(1-3) = - 1/2
Replacing m gives;
y= -1/2x + c
Calculating the value of c
take point (1,2) above and replace y with 2 and x with 1
2=-1/2 *1 +c
c = 2 1/2
Equation then is
y = -1/2x +2 1/2
Answer:
18-3-12
15-12
3 is the answer
hope this helps
have a good day :)
Step-by-step explanation:
Equation that represents therelationship between the nmber of weeks and total amount of money marcus will have saved is
Y= 5x+42
-5x +y =42
He currently has $42 with planning to save $5 each week. So, $5 per week is the slope and $42 is the y intercept.
Answer:
Points apply to the given situation:
(a)The puppy will run into the wall after 5 seconds
(b)The slope is -4 ft per second since the puppy is running at a rate of 4 ft per second.
(c)The y-intercept is 20 ft because the puppy is 20 feet away from the wall.
Step-by-step explanation:
We have given,
A puppy is running at a rate = 4 feet per second
A wall is 20 feet away from puppy. That means initially puppy is 20 feet away from the wall.
So, time taken by puppy to reach the wall =
i.e. time take by puppy to reach the wall = = 5 seconds
Now we write the points that apply to this situation:
(a)The puppy will run into the wall after 5 seconds
(b)The slope is -4 ft per second since the puppy is running at a rate of 4 ft per second. {Since the puppy is moving towards the wall that means horizontal distance is decreasing at a rate of -4 feet per second}
(c)The y-intercept is 20 ft because the puppy is 20 feet away from the wall.
