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3 years ago

4x - 3y = 23

Mathematics

1 answer:

igor_vitrenko [27]3 years ago

4 0

Answer:

okay so 1st

4x - 3y = 23 (u gonna have to add 3y to - 3y & add it to 23)

+3y +3y (like this) once you got that, add 3 to 23 which is 26

4x = 26y (like this)

---- ------

4 13

so x = 2

Step-by-step explanation:

I don't know about the second one but if I'm right for the first one then let me know lolllllsss I put 13 instead of 4 under 26y because 4 cannot go through 26 but 2 × 13 is 26

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israel started to solve a radical equation in this way: square root of x plus 6 − 4 = x square root of x plus 6 − 4 4 = x 4 squa

agasfer [191]

Lets solve our radical equation $\sqrt{x+6}-4=x$ step by step.

Step 1 add 4 to both sides of the equation:

$\sqrt{x+6} -4+4=x +4$

$\sqrt{x} +6=x+4$

Step 2 square both sides of the equation:

$\sqrt{x+6} =x+4$

$\sqrt{x+6}^2 =(x+4)^2$

$x+6=(x+4)^2$

Step 3 expand the binomial in the right hand side:

$x+6=x^2+8x+16$

Step 4 simplify the expression:

$0=x^2+8x-x+16-6$

$x^2+7x+10=0$

Step 5 factor the expression:

$(x+2)(x+5)=0$

Step 6 solve for each factor:

$x+2=0$ or $x+5=0$

$x=-2$ or $x=-5$

Now we are going to check both solutions in the original equation to prove if they are valid:

For $x=-2$

$\sqrt{x+6}-4=x$

$\sqrt{-2+6}-4=-2$

$\sqrt{4}-4=-2$

$2-4=-2$

$-2=-2$

The solution $x=2$ is a valid solution of the rational equation $\sqrt{x+6}-4=x$ .

For $x=-5$

$\sqrt{x+6}-4=x$

$\sqrt{-5+6}-4=-5$

$\sqrt{1}-4=-5$

$1-4=-5$

$-3\neq -5$

Since -3 is not equal to -5, the solution $x=-5$ is not a valid solution of the rational equation $\sqrt{x+6}-4=x$ ; therefore, $x=-5$ is an extraneous solution of the equation.

We can conclude that even all the algebraic procedures of Israel are correct, he did not check for extraneous solutions.

An extraneous solution of an equation is the solution that emerges from the algebraic process of solving the equation but is not a valid solution of the equation. Is worth pointing out that extraneous solutions are particularly frequent in rational equation.

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3 years ago

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Answer:

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Step-by-step explanation:

In a simple linear regression model, R-Squared or R² represents the proportion or percentage of the variation of dependent variable, explained by an independent variable or variables.

In simple terms, it is a measure of how well the variation of one variable explains the variation of the other.

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4 years ago

Simplify 3 to the negative power of 9 over 3 to the negative power of 12

Dmitriy789 [7]

Answer:

Step-by-step explanation:

3^-9/ 3^-12

Simply change the division into multiplication. The denominator will become numerator. We are doing so because the base are same.

3^-9 * 3^12

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4 years ago

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kakasveta [241]

Answer:

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Step-by-step explanation:

This can be solved with proportions.

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Cross multiply and you get:

$2.58x gallons * minutes = 268 gallons * minutes\\$

Divide by 2.58 gallons and you get:

$x minutes = \frac{268 gallons}{2.58 gallons} * minutes \\x minutes = 103.876 minutes\\x = 103.876 minutes\\$

And to find out the number of hours that is, divide by 60 and you get 1.73 hours.

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4 years ago

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xenn [34]

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Together this makes 84*561 = 47124 combinations.

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4 years ago

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