All categories

2 years ago

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

You might be interested in

An art teacher has 70 1/2 pounds of clay and 25 students. Each student will get an equal amount of clay. How much clay does each

Zigmanuir [339]

70 1/2 divided by 25

5 0

3 years ago

For each of the functions below, indicate whether the function is onto, one-to-one, neither orboth. If the function is not onto

Karo-lina-s [1.5K]

Answer:

$f_{1} :Z \rightarrow Z$ is one to one mapping, it is not onto mapping

Step-by-step explanation:

$f_{1} :Z \rightarrow Z\\ f_{1} (x) = x^{3}$

f₁(x) is one to one mapping

Let $x, y \epsilon Z$

f₁(x) = f₁(y):

x₁³ = y₁³

f₁(x) is not onto mapping

Example: If f₁(x) = 7,

x₁³ = 7

$x_{1} = \sqrt[3]{7}$

x₁ is not an element of Z

$f_{1} :Z \rightarrow Z$ is one to one mapping, it is not onto mapping

5 0

3 years ago

What is the difference between the predicted value and the actual value

snow_lady [41]

It’s a prediction so basically an estimate of how much students he thought were going to be there. An actual number is the real total.

3 0

3 years ago

Evaluate the expressio <br>-6(-5)+12

natta225 [31]

First, multiply -6*-5. This equals (positive) 30 because the negative signs cancel out.

This leaves you with:

30+12

Doing the addition leaves you with 42.

The answer is 42.

I hope this helps :)

6 0

4 years ago

Read 2 more answers

When would you want to use the median over the mean for describing the measure of center for a data set?

zheka24 [161]

Hello!

Sometimes when there are outliers in a data set, for example 1, 20,25,26,30, one is the outlier and when you find the mean it will not represent the data in the most accurate way. This is when you use the median to represent the part of the data set that has the information that is close together.

I hope this helps!

8 0

3 years ago