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icang [17]
2 years ago
14

Which model represents the factors of 4x^2-9

Mathematics
1 answer:
dsp732 years ago
8 0

The model (x+a)(x-a) will represents the factors of 4x²-9 as (2x+3)(2x-3).

<h3>What are the quadratic equations in one variable completing the squares method?</h3>

The "completing the squares" method aims to construct a quadratic equation of the form where the x variable is entirely covered by a single squared term, which is the square of a linear expression in x, as the name suggests.

The quadratic equation can resemble this:

x²-a² = (x+a)(x-a)

Given equation;

⇒4x²-9

⇒(2x)²-3²

The equation can be modeled as;

(2x+3)(2x-3)

Hence the model (x+a)(x-b) will represents the factors of 4x²-9 as (2x+3)(2x-3).

To learn more about completing the squares method refer to:

brainly.com/question/16800259

#SPJ1

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Proceeds to rob your house
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A 12-foot ladder is placed against a wall with a 45-degree angle between the ladder and the ground. Using two different
Lelechka [254]

Answer:

24

Step-by-step explanation:

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2 years ago
If X = 14, find the value of the variable a. If your answer is not an integer, express it in simplest radical form.
ivann1987 [24]

Answer:

Step-by-step explanation:

First thing I would do is square the 14, and put it under the radical. Itll make the calculations a little bit easier.

14sqrt(2) = sqrt392

Use the definition of sine to find the value of a

sin(45) = opposite/hypotenuse = a/sqrt392

sin(45)=\frac{a}{\sqrt{392} }

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7 0
3 years ago
In July 2005, the internet was linked by a global network of about 353 million host computers. The number of host computers has
aalyn [17]

Answer:

N(t) = 37.1(1.38)^t

Step-by-step explanation:

Exponential function:

An exponential function has the following format:

N(t) = N(0)(1+r)^t

In which N(0) is the initial value and r is the rate of change, as a decimal.

37.1 million in July 1998

This means that N(0) = 37.1

So

N(t) = 37.1(1+r)^t

In July 2005, the internet was linked by a global network of about 353 million host computers.

This is 2005 - 1998 = 7 years, so N(7) = 353. We use this to find r.

N(t) = 37.1(1+r)^t

353 = 37.1(1+r)^7

(1+r)^7 = \frac{353}{37.1}

\sqrt[7]{(1+r)^7} = \sqrt[7]{\frac{353}{37.1}}

1 + r = (\frac{353}{37.1})^{\frac{1}{7}}

1 + r = 1.38

The formula is:

N(t) = 37.1(1.38)^t

5 0
3 years ago
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