Two step equations example
2x + 2 = 10
Inverse operation. What is the opposite of +2?
-2 is!
Apply that to both sides to balance it
2x + 2 = 10
- 2 -2
2x = 8
2x/2 = 8
We divided because it is the opposite of multiplication.
2x/2 = 8/2
x = 4
Answer: x = 4
Answer:
x = 27
Step-by-step explanation:
39/26 = x /18
cross multiply
26x = (39)(18)
26x = 702
x = 27
(12,-24)
x intercept is 12 & y intercept is -24
Answer:
The charges will be the same after 4 hours.
Step-by-step explanation:
Total Amount = y
Number of hours = x for x > 2
Garage A: y = $7.00 + (x - 2)*3
Garage B: y = 3.25*x
Part 3: What is the cost to be equal?
3.25x = 7 + 3(x - 2) Remove the brackets
3.25x = 7 + 3x - 6 Collect terms on the right
3.25x = 3x + 1 Subtract 3x from both sides.
3.25x - 3x = 3x - 3x + 1 Combine
0.25x = 1 Divide by 0.25
0.25 x/0.25 = 1 / 0.25
x = 4 hours.
Answer:
Step-by-step explanation:
Volume = 
find partial derivatives using product rule
i.e.
Using maximum for partial derivatives, we equate first partial derivative to 0.
y=0 or x+y =6
x=0 or x+4y =12
Simplify to get y =2, x = 4
thus critical points are (4,2) (6,0) (0,3)
Of these D the II derivative test gives
D<0 only for (4,2)
Hence maximum volume is when x=4, y=2, z= 4/3
Max volume is = 4(2)(4/3) = 32/3
