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mr Goodwill [35]
3 years ago
9

Find three consecutive even integers if three times the first integer is two times the third.​

Mathematics
2 answers:
drek231 [11]3 years ago
6 0

Using a system of equations, it is found that the three consecutive even integers are -8, -6 and -4.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the three consecutive even integers are represented by:

n, n + 2, n + 4

The first integer is two times the third, hence:

n = 2(n + 4)

2n + 8 = n

n = -8

Thus:

n = -8

n + 2 = -8 + 2 = -6

n + 4 = -8 + 4 = -4

The integers are -8, -6 and -4.

To learn more about system of equations, you can take a look at brainly.com/question/26650649

iren [92.7K]3 years ago
5 0

Answer:

8,10,12

Step-by-step explanation:

Step-by-step explanation:

Smallest Integer = 2x - 2

Middle integer = 2x

Largest integer = 2x + 2

All three are every

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

6x - 6 = 4x + 4                Add 6 to both sides

6x = 4x + 6 + 4               Combine

6x = 4x + 10                    Subtract 4x from both sides

6x-4x = 10                      Combine

2x = 10                           Divide by 2

x = 10/2

x = 5

2x - 2 = 2*5 - 2 = 8

2x =                     10

2x+2                    12

3*8 = 2*12

24 = 24

So the answers are correct.

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Answer:

Impossible

Step-by-step explanation:

In 5x^2-4x+3=0, standard form, substitute these values in the quadratic formula:

a = 5; b = -4; c = 3

The quadratic formula is x = \frac{ -b ± \sqrt{b^{2} - 4ac}}{2a}

(ignore the weird capital A)

Substitute a b and c:

x = \frac{-(-4) ± \sqrt{(-4)^{2} - 4(5)(3)}}{2(5)}

Simplify:

x = \frac{4) ± \sqrt{16 - 60}}{10}

Because \sqrt{16-60} is the square root of a negative number, the answer would be imaginary.

Therefore, there are not solutions to this equation.

A solution is the same as the roots or zeroes, where the graph would cross the x-axis when graphed.

The graph never meets the x-axis. It looks like this:

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3 years ago
A rectangle measures 54 feet by 72 feet. What is the length, in feet, of
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Step-by-step explanation:

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3 years ago
Here are the endpoints of the segments BC, FG, and JK.<br> B, −67
yulyashka [42]

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F(\stackrel{x_1}{-2}~,~\stackrel{y_1}{-4})\qquad G(\stackrel{x_2}{1}~,~\stackrel{y_2}{-2})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ FG=\sqrt{[1 - (-2)]^2 + [-2 - (-4)]^2}\implies FG=\sqrt{(1+2)^2+(-2+4)^2} \\\\\\ FG=\sqrt{9+4}\implies \boxed{FG=\sqrt{13}} \\\\[-0.35em] ~\dotfill\\\\ ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ J(\stackrel{x_1}{4}~,~\stackrel{y_1}{2})\qquad K(\stackrel{x_2}{5}~,~\stackrel{y_2}{-2})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}

JK=\sqrt{[5 - 4]^2 + [-2 - 2]^2}\implies JK=\sqrt{1^2+(-4)^2}\implies \boxed{JK=\sqrt{17}} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \overline{BC}\cong \overline{FG}~\hfill

4 0
2 years ago
When x=5 what would the value of expression
Nikolay [14]

Answer:

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Step-by-step explanation:

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3 years ago
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zavuch27 [327]
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