3 years ago

If x2 – 9 = 0, then x can only be equal to 3 True False

Mathematics

1 answer:

Sauron [17]3 years ago

4 0

The answer is True. X=3,-3

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A recipe calls for 3/4 cups of flour . Estevan wants to make 1/3 of the recipe how much flour will he need

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The rectangle below has a length of 15 meters and a perimeter of 44 meters. What is the width of the rectangle?

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3 years ago

You are carpeting a room in a house for your job. You have a boss that likes to play jokes, so instead of just giving you the di

forsale [732]

Answer:

$x^2-4x+3$

$63\ \text{sq. units}$

Step-by-step explanation:

l = Length = $\dfrac{x^2-x-6}{x-5}$

w = Width = $\dfrac{x^2-6x+5}{x+2}$

Area is given by

$A=lw\\\Rightarrow A=\dfrac{x^2-x-6}{x-5}\times\dfrac{x^2-6x+5}{x+2}\\\Rightarrow A=\dfrac{x^2-3x+2x-6}{x-5}\times\dfrac{x^2-5x-1x+5}{x+2}\\\Rightarrow A=\dfrac{(x-3)(x+2)}{x-5}\times\dfrac{(x-5)(x-1)}{x+2}\\\Rightarrow A=(x-3)(x-1)\\\Rightarrow A=x^2-4x+3$

Area of the room is $x^2-4x+3$ .

If $x=10$

Area of the room

$A=x^2-4x+3=10^2-4\times 10+3\\\Rightarrow A=63\ \text{sq. units}$

So, the amount of carpet needed would be $63\ \text{sq. units}$ .

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3 years ago