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3 years ago

-4x^2-12x+1 find the standard form

1 answer:

34kurt3 years ago

3 0

I'd stay this expression is already in standard form, although you could rewrite it as -(-4x^2-12x+1).

You could rewrite -4x^2-12x+1 by completing the square:

-4(x^2 + 3x ) +1 becomes

-4(x^2 + 3x + [3/2]^2 ) - [3/2]^2 + 1, or

-4(x + 3/2)^2 + 1 - 9/4, or

-4(x+3)^2 -5/4 (final form) The graph would be that of a parabola with vertex at (-3, -5/4). This parabola would open down and would be vertically stretched by a factor of 4.

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Further explanation:

In the question it is given that if an object is viewed under a microscope then the object appears $100$ times large than its original size.

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This question is based on the concept of multiplication of decimals.

Consider the length of the insect as $x\text{ cm}$ .

Since, the length of insect is $0.095$ centimeter so, trhe value of $x$ is $0.095$ .

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Learn more:

1. Learn more about numbers brainly.com/question/4736384

2. Learn more about scientific notation of numbers brainly.com/question/4736384

Answer details:

Grade: Junior school

Subject: Mathematics

Chapter: Simplification

Keywords: Microscope, insect, cenimeter, magnifies, 0.095cm, 100 times, eyepiece, viewed, 9.5cm, simplification, multiplication, decimals, final image.

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