<span>The definition of quadratic function is given by:
</span>

<span>
So the problem asks for two conditions:
<em>1. Write the quadratic function in factored form.
</em>
<em>2. The vertex has an x-coordinate of 3.</em>
Then the equation (1) must be written as follows:
</span>

<span>
To satisfy the two conditions:
So we are free to choose the value of one root, say:

Thus:
Finally,
the answer is:

The graph of this function is shown in the figure below.</span>
Answer: The amount of white fabric to coloured fabric as a ratio in its simplest form is 
Step-by-step explanation:
Given :
Amount of coloured fabric used by June = 11 mm = 1.1 cm (1 mm=0.1 cm)
Amount of white fabric used by June = 1 cm
To find : amount of white fabric to coloured fabric as a ratio in its simplest form
To find the ratio in simplest form , the units of both measurements should be same
Thus 
The amount of white fabric to coloured fabric as a ratio in its simplest form is 
Answer:
square units
Step-by-step explanation:
To predict the area of the piece of paper after 5 tears we can use a geometric sequence.
Each time a piece is torn, half of the previous area is lost. If the area of the first piece is 1 square unit then:

square units
Answer: 3x^4 +x^3 -2x^2 +3x +2
Step-by-step explanation:
(3x^4 - 2x^3 + 4x -2) + (3x^3 - 2x^2 - x +4)
There are no like terms for 3x^4, so leave it alone.
-2x^3 + 3x^3 = 1x^3
No like terms for -2x^2
4x - x = 3x
-2 + 4 = 2
Answer? 3x^4 +x^3 -2x^2 +3x +2
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