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2 years ago

Find the product of (x + 3)(x - 3). x^2 - 6x + 9 x^2 + 6x + 9 x^2 + 9 x^2-9

Mathematics

1 answer:

kvv77 [185]2 years ago

8 0

Step-by-step explanation:

So the question is easy ....the thing that you need to do is just to multiply the expression and organize the like terms....okay so lets solvee..

$(x + 3)(x - 3)$

Solution,

$= x(x - 3) + 3(x - 3)$

$= {x}^{2} - 3x + 3x - 9$

$= {x}^{2} - 9$

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As shown at the right, rectangle abcd has vertices c and d on the. V-axis and vertices a and b on the part of the parabola y — 9

Sergio039 [100]

a) The <em>perimeter</em> function of the rectangle is $p = 18\cdot x -2\cdot x^{3}$ .

b) The domain of the <em>perimeter </em>function is $x \in [-3, 3]$ .

<h3>How to analysis the perimeter formula of a rectangle inside a parabola</h3>

a) The perimeter of a rectangle ( $p$ ) is the sum of the lengths of its four sides:

$p = AB\cdot AC$ (1)

If we know that $AB = 2\cdot x$ and $AC = 9-x^{2}$ , then the perimeter of the rectangle is represented by the following formula:

$p = 2\cdot x \cdot (9-x^{2})$

$p = 18\cdot x -2\cdot x^{3}$

The <em>perimeter</em> function of the rectangle is $p = 18\cdot x -2\cdot x^{3}$ . $\blacksquare$

b) The domain of the function is the set of values of $x$ associated to the function. After a quick inspection, we find that the domain of the <em>perimeter </em>function is $x \in [-3, 3]$ . $\blacksquare$

<h3>Remark</h3>

The statement is incomplete and poorly formatted. The correct form is described below:

<em>As shown at the right, rectangle ABCD has vertices C and D on the x-axis and vertices A and B on the part of the parabola </em> $y = 9-x^{2}$ <em> that is above the x-axis. a) Express the perimeter </em> $p$ <em> of the rectangle as a function of the x-coordinate of A. b) What is the domain of the perimeter function?</em>

To learn more on rectangles, we kindly invite to check this verified question: brainly.com/question/10046743

4 0

2 years ago

What is the value of (-3.25)(-1.56) with the work shown

MAVERICK [17]

All you have to do is multiply: -3.25•-1.56=5.07. A negative times a negative is a positive :)

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3 years ago

The error term represents the vertical distance from any point to the a. value of the Y’s b. population regression line c. estim

AlladinOne [14]

Answer:

B. Population regression line

explanation:

Error term refers to the sum of deviation within regression line which provides an explanation for the difference between the results of the model and actual observed results. It represents margin of error within a statistical model.

Error term is the distance from each point to the population regression line. It includes everything that differentiates your model from reality. Therefore, factors like nonlinearities, unpredictable effects, measurement errors, and omitted variables will be reflected.

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4 years ago

Michael is saving to buy a car. He has 2/5 what he needs to buy the car. His savings account has a balance of $ 1000. How much d

Anastasy [175]

2500

1,000 divided by 2/5 is 2,500

8 0

3 years ago

Mila [183]

A = $4,312.00

I = A - P = $2,112.00

Hey!

Equation:

A = P(1 + rt)

Calculation:

First, converting R percent to r a decimal

r = R/100 = 8%/100 = 0.08 per year.

Solving our equation:

A = 2200(1 + (0.08 × 12)) = 4312

A = $4,312.00

The total amount accrued, principal plus interest, from simple interest on a principal of $2,200.00 at a rate of 8% per year for 12 years is $4,312.00.

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Hope this helped in some way..have a great day!

4 0

3 years ago