The employees in a firm earn $8.50 an hour for the first 40 hours per week, and 1.5 times the hourly rate for any hours worked o
1 answer:
You might be interested in
Answer:
a. Function 1
b. Function 3
c. Function 2, Function 3 and Function 4
Step-by-step explanation:
✔️Function 1:
y-intercept = -3 (the point where the line cuts across the y-axis)
Slope, using the two points (0, -3) and (1, 2):
Slope = 5
✔️Function 2:
y-intercept = -1 (the value of y when x = 0)
Slope, using the two points (0, -1) and (1, -4):
Slope = -3
✔️Function 3: y = 2x + 5
y-intercept (b) = 5
Slope (m) = 2
✔️Function 4:
y-intercept = 2
Slope = -1
Thus, the following conclusions can be made:
a. The function's graph that is steepest is the function whose absolute value of its slope is greater. Therefore Function 1 is the steepest with slope of 5
b. Function 3 has a y-intercept of 5, which is the farthest from 0.
c. Function 2, Function 3, and Function 4 all have y-intercept that is greater than -2.
-1, 5, and 2 are all greater than -2.
Elimination Method
If we multiply the equation 3 by (-1) we obtain this:
If we add them we obtain 0, therefore there are infinite solutions. So, let's write it in terms of Z
1. Using the 3rd equation we can obtain X(Y,Z)
2. We can replace this value of X in the 1st and 2nd equations
3. If we simplify:
4. We can obtain Y from this two equations:
5. Now, we need to obtain X(Z). We can replace Y in X(Y,Z)
6. If we simplify, we obtain:
7. In conclusion, we obtain that
(X,Y,Z) =