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1 year ago

Halla tres enteros pares consecutivos tales que 6 veces el primer entero sea 26 más que la suma del segundo y tercer enteros.

Mathematics

1 answer:

RideAnS [48]1 year ago

3 0

The consecutive even integers are 8, 10 and 12.

<h3>How to calculate the value?</h3>

Let the integers be x, x + 2, and x + 4.

Therefore, the equation will be:

6(x) = x + 2 + x + 4 + 26

6x = 2x + 32

Collect like term

6x - 2x = 32

4x = 32

Divide

x = 32/4.

x = 8

The numbers are 8, 10 and 12.

Learn more about integers on:

brainly.com/question/17695139

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what ordered pair is 2 spaces to the left and 4 spaces down from the point graphed on the coordinate plane?

kykrilka [37]

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3 years ago

Consider the following set of vectors. v1 = 0 0 0 1 , v2 = 0 0 3 1 , v3 = 0 4 3 1 , v4 = 8 4 3 1 Let v1, v2, v3, and v4 be (colu

Alona [7]

Answer:

We have the equation

$c_1\left[\begin{array}{c}0\\0\\0\\1\end{array}\right] +c_2\left[\begin{array}{c}0\\0\\3\\1\end{array}\right] +c_3\left[\begin{array}{c}0\\4\\3\\1\end{array}\right] +c_4\left[\begin{array}{c}8\\4\\3\\1\end{array}\right] =\left[\begin{array}{c}0\\0\\0\\0\end{array}\right]$

Then, the augmented matrix of the system is

$\left[\begin{array}{cccc}0&0&0&8\\0&0&4&4\\0&3&3&3\\1&1&1&1\end{array}\right]$

We exchange rows 1 and 4 and rows 2 and 3 and obtain the matrix:

$\left[\begin{array}{cccc}1&1&1&1\\0&3&3&3\\0&0&4&4\\0&0&0&8\end{array}\right]$

This matrix is in echelon form. Then, now we apply backward substitution:

$8c_4=0\\c_4=0$

$4c_3+4c_4=0\\4c_3+4*0=0\\c_3=0$

$3c_2+3c_3+3c_4=0\\3c_2+3*0+3*0=0\\c_2=0$

$c_1+c_2+c_3+c_4=0\\c_1+0+0+0=0\\c_1=0$

Then the system has unique solution that is $(c_1,c_2c_3,c_4)=(0,0,0,0)$ and this imply that the vectors $v_1,v_2,v_3,v_4$ are linear independent.

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3 years ago

A basketball hoop has a circumference of 144 cm.what is its diameter

levacccp [35]

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3 years ago

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Answer:

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31.25 x 8 = 250 Know you know that one pancake requires 31.25ml of Milk

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So 4 pancakes requires 125ml of Milk

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3 years ago

Which expressions are polynomials?

cupoosta [38]

<em><u>The expressions that are polynomial are:</u></em>

6 + w

$2x^4 - y$

z + 1

<em><u>Solution:</u></em>

A polynomial is an expression with variables and coefficients with the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables

1) 6 + w

Here "w" is a variable, hence it is a polynomial expression

$2)\ 2x^4 - y$

This is a polynomial, since it has variables and coefficients and variable with non negative exponent

3) z + 1

This is also a polynomial with variable "z" and has addition operation

$4)\ y^2 - y\sqrt{3} + 4$

Since it has root so it is not a polynomial

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3 years ago

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