a board that is 2 5/8 feet long is cut from a larger board that is 7 1/3 feet long. How much of the board remains?
1 answer:
Answer:
feet
Step-by-step explanation:
Total length of the board = feet
Length of board that is removed from the larger board =
When a smaller board is removed, the length of the remaining board can be calculated using subtraction as:
Remaining Length of board = Total Length - Length of smaller board
=
This means feet of board remains after removing the smaller board from it.
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Well, the form 
gives the maximum (if a<0) at coordinates 
, where 
. If a>0, the same formula gives the minimum (there's no maximum)
There is an error in the second step. Before cross multiplying the denominators, LCM of the values should be taken.
Step-by-step explanation:
Step 1; 1 - =
.
By taking an LCM of x-2 on the LHS, we get
-
=
,
as both terms on the LHS have same denominator, we can add them up,
=
=
.
Step 2; Now we cross multiply the denominators.
(x - 4) × (x + 2) = (x + 1) × (x - 2),
x² - 2x - 8 = x² - x - 2,
(x² - 2x - 8) - (x² - x - 2) = 0.
x² - x² - 2x + x - 8 + 2 = 0,
-x -6 = 0,
x = -6.
By simplifying the given expression, we get x = -6.