Answer:
A function that gives the work required in foot-lbs to lift the bucket up x feet from the ground is 
and the work to get the bucket to the top of the cliff is 3726 foot-lbs
Step-by-step explanation:
Work done to lift the rope by distance x feet:
Work done to lift the bucket by distance x feet:
On reaching top 7 gallons of water spilled out so , on going up by x feet 
gallons of water spilled out.
a function that gives the work required in foot-lbs to lift the bucket up x feet from the ground:
Now the work to get the bucket to the top of the cliff i.e. x =35
W=3726
Hence, a function that gives the work required in foot-lbs to lift the bucket up x feet from the ground is and the work to get the bucket to the top of the cliff is 3726 foot-lbs
Factored Form:
x^2 - 4x - 5
Simplifying:
x^2 + - 4x + - 5 = 0
Reorder the terms:
- 5 + - 4x + x^2 = 0
Solving for variable " x":
Subproblem 1:
Set the factor ( - 1 + - 1x) equal to Zero and attempt to solve.
Simplifying:
- 1 + - 1x = 0
Solving:
- 1 + - 1x = 0
Move all terms containing x to the left, all other terms to the right
Add 1 to each side of equation:
- 1 + 1 + - 1x = 0 + 1
Combine Like Terms: 0 + 1 = 1
x = - 1
Divide each side by - 1
x = - 1
Simplifying: x = - 1
Subproblem 2: Set the factor (5 + - 1x) equal to Zero attempt to solve
Simplifying:
5 + - 1x = 0
Move all terms containing x to the left, all other terms to the right
Add - 5 to each side of the equation
5 + - 5 + - 1x = 0 + 5
Combine Like terms: 5 + - 5 = 0
0 + - 1x = 0 + - 5
- 1x = 0 + - 5
Combine Like Terms: 0 + - 5 = - 5
- 1x = - 5
Divide each side by - 1
x = 5
Simplifying:
x = 5
Solution:
x = { - 1, 5}
Answer when factored:
(x + 1)(x - 5)
hope that helps!!!
Easy. it’s b because when it’s all added up 9 is the answer
2. Quadrilateral, rectangle, parallelogram
3. Quadrilateral, trapazoid
4. Quadrilateral
Simplify the Integer part of the SQRT
Step-by-step explanation:
Factor 200 into its prime factors
200 = 23 • 52
