Answer:
Step-by-step explanation:
The given quadratic expression is
3x² - 9x + 6
Dividing each term in the expression by 3 in order to simplify it further, it becomes
x² - 3x + 2 = 0
We would determine two numbers such that their sum or difference is -3x and their product is 2x².
The two numbers are - 2x and - x.
Therefore,
x² - 2x - x + 2
x(x - 2) - 1(x - 2)
(x - 1)(x - 2)
When the expression is factored completely, it is equivalent to
(x - 1)(x - 2)
Answer:
3.75 feet
Step-by-step explanation:
The length of the frame is 3 times the width.
Let the width be x.
The length will be 3x.
Kyle uses 10 feet of wood to make the frame. This means that the perimeter is 10 feet.
The perimeter of a rectangle is:
P = 2(L + W)
=> 10 = 2(3x + x)
=> 10/2 = 4x
5 = 4x
=> x = 5/4 = 1.25 feet
The width is 1.25 feet. The length is therefore:
1.25 * 3 = 3.75 feet
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Answer:
B & D
Step-by-step explanation:
B & D
