Factor the following equation to solve for "x"; x^{2} - 8x - 20 = 0

Answers

Answer 1

Answer: x² - 8x - 20 = 0

Factor the left side:

(x + 2) (x - 10) = 0

That's a true statement if (x = -2) or if (x= 10), so those are your solutions.

x = -2
x = 10

By the way ... you don't factor an equation. You can only factor an expression.

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Prove :M<1 + m<2 +m<3=180
Given : ABC

Answers

To prove that M<1 + m<2 + m<3 = 180, we need to use the given information that ABC is a triangle.

In a triangle, the sum of the interior angles is always equal to 180 degrees.

Let's label the angles of triangle ABC as follows:

Angle A as M<1

Angle B as m<2

Angle C as m<3

Using the given information, we can rewrite the equation as:

M<1 + m<2 + m<3 = A + B + C = 180

This equation holds true because it is a fundamental property of triangles. Therefore, the statement is proven.

If 2x^2 + 6x = 36, what are the possible values of x ?

Answers

The possible values of $x$ for $2\cdot x^(2)+6\cdot x = 36$ are $x_(1) = 3$ and $x_(2) = -6$ .

The expression $2\cdot x^(2)+6\cdot x = 36$ is equivalent to the expression $2\cdot x^(2)+6\cdot x -36 = 0$ , which represents a second orderpolynomial, that is, a polynomial of the form:

$y = a\cdot x^(2)+b\cdot x + c$ (1)

Where $a,\,b,\,c$ are coefficients.

The possible values of x represents all possible roots of x, which are found analytically by the quadratic formula:

$x = \frac{-b\pm \sqrt{b^(2)-4\cdot a\cdot c}}{2\cdot a}$ (2)

If we know that $a = 2$ , $b = 6$ and $c = -36$ , then all possible values of $x$ are, respectively:

$x_(1) = 3$ , $x_(2) = -6$

The possible values of $x$ for $2\cdot x^(2)+6\cdot x = 36$ are $x_(1) = 3$ and $x_(2) = -6$ .

We kindly invite to check this question on second order polynomials: brainly.com/question/24356198

Answer:

f(x) = 2(x + 3)(x - 6)

Step-by-step explanation:

5. the price of an ipod dropped from $299.99 to $180.55. what was the percent decrease in price? (round to nearest hundredth percent.)

Answers

If you would like to know what was the percent decrease in price, you can calculate this using the following steps:

x% of $299.99 is $180.55
x% * 299.99 = 180.55
x/100 * 299.99 = 180.55
x = 180.55 * 100 / 299.99
x = 60.19%

100% - 60.19% = 39.81%

The correct result would be 39.81%.

In a fruit cocktail, for every 18 ml of orange juice you need 3 ml of apple juice and 54 ml of coconut milk. What is the ratio of apple juice to coconut milk to orange juice expressed in its simplest form?

Answers

Answer:

1:18:6

Step-by-step explanation:

3:54:18

This equals 1:18:6

Which statement is true about a model of a prime polynomial? It cannot be modeled with a rectangle. It can be modeled with a square. It cannot be modeled with all positive tiles. It can only be modeled with an odd number of tiles. please help me

Answers

The correct answer is:

It cannot be modeled with a rectangle.

Explanation:

When using area tiles to represent polynomials, we arrange the tiles into a rectangle in order to find the factors of the polynomial.

Since the area of a rectangle is found by multiplying length and width, if we find the "length" and "width" of the polynomial rectangle, we have the factors that multiply to make up that polynomial.

However, if a polynomial is prime, its only factors are 1 and itself. This means the "length" would be the polynomial itself, and the "width" would be 1. This means we cannot arrange the polynomial into a rectangle.

Answer:

A : it cannot be modeled with a rectangle

Step-by-step explanation:

edge 2020 . good luck !

the Alvarez family bought a car for $2,000 they made a down payment of $500 if they want to pay the balance in 5 equal payments how much would each of these payments be

Answers

Actual cost of the car bought by Alvarez family = $2000
Amount of down payment made by the Alvarez family = $500
Outstanding amount
that has to be paid by the Alvarez family = (2000 - 500) dollars
= 1500 dollars
Number of equal payments to pay the outstanding balance = 5
So
Payment that has to be made
by the Alvarez family in 5 equal parts = 1500/5 dollars
= 300 dollars
So the Alvarez family has to make 5 payments of $500 to complete the outstanding amount of the car. I hope the procedure is clear enough for you to understand.

Final answer:

After a down payment of $500, the Alvarez family has $1,500 left to pay for a car. They can divide this balance into 5 equal payments of $300 each.

Explanation:

The Alvarez family bought a car for $2,000 and made a down payment of $500. This means that the amount left to pay for the car, also known as the car's balance, is $1,500 ($2,000 minus $500 = $1,500). If the family wants to make 5 equal payments, we will divide that balance by the number of payments they want to make.

So, the calculation would be $1,500 divided by 5, which equals $300. Therefore, each equal payment would have to be $300 for the Alvarez family to pay for the balance of the car over 5 payments.

Learn more about Loan Payments here:

brainly.com/question/34897239

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