9514 1404 393
Answer:
y = 1/4x -2
Step-by-step explanation:
The line rises one unit from -2 to -1 as x changes from 0 to 4. The slope is ...
m = rise/run = 1/4
The y-intercept (b) is where the line crosses the y-axis, at y = -2.
The equation in slope-intercept form is ...
y = mx + b
y = 1/4x -2
Answer:
68-x
Step-by-step explanation:
71-x-3=71-3-x=68-x
Answer: x = 0
y = 2
z = -1
Step-by-step explanation:
The system of equations are
x+y+z=1 - - - - - - - - - - 1
-2x+4y+6z=2 - - - - - - - - - 2
-x+3y-5z=11 - - - - - - - - - 3
Step 1
We would eliminate x by adding equation 1 to equation 3. It becomes
4y -4z = 12 - - - - - - - - - 4
Step 2
We would multiply equation 1 by 2. It becomes
2x + 2y + 2z = 2 - - - - - - - - - 5
We would add equation 2 and equation 5. It becomes
6y + 8z = 4 - - - - - - - - - 6
Step 3
We would multiply equation 4 by 6 and equation 6 by 4. It becomes
24y - 24z = 72 - - - - - - - - 7
24y + 32z = 16 - - - - - - - - 8
We would subtract equation 8 from equation 7. It becomes
-56z = 56
z = -56/56 = -1
Substituting z = -1 into 7, it becomes
24y - 24×-1 = 72
24y + 24 = 72
24y = 72 - 24 = 48
y = 48/24 = 2
Substituting y = 2 and z = -1 into equation 1, it becomes
x + 2 - 1 = 1
x = 1 - 1 = 0
10.
The median is calculated by taking all values in a data set, placing them in order from least to greatest, and finding the value that is in the middle of the data set. In this case, the middle number (median) for Bank is 15. The middle number (median) for Software Company is 25. The difference between 25 and 15 is 10. So Software Company is 10 more minutes greater than Bank,
Answer:
Step-by-step explanation:
The work done changes the potential energy
ΔPE = mgΔh = 450(10)(50) = 225,000 = 225 kJ
power is the rate of doing work
P = 225000/5 = 45000 W = 45 kW