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3 years ago

What is the solution to the equation? x = 1 x = 6 x = 12 x = 24

Mathematics

1 answer:

stiks02 [169]3 years ago

4 0

Answer:

Option B is the correct option

solution,

$\sqrt{5x - 7} = \sqrt{3x + 5}$

Cancel the square roots on both sides

$5x - 7 = 3x + 5$

Add 7 to both sides

$5x - 7 + 7 = 3x + 5 + 7$

Simplify

$5x = 3x + 12$

Subtract 3x from both sides

$5x - 3x = 3x + 12 - 3x$

Simplify

$2x = 12$

Divide both sides by 2

$\frac{2x}{2} = \frac{12}{2}$

Simplify

$x = 6$

Hope this helps...

Good luck on your assignment..

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What does this mean exactly?

bekas [8.4K]

Answer: Choice B $y \le 0$

========================================================

Explanation:

They want to know what are all the possible y values here. The range is the set of all possible outputs of a function.

The largest y value is y = 0 which occurs at the vertex, in this case the highest point. There is no smallest y value as those arrows point downward forever.

So y is between negative infinity and 0, which means we write $-\infty < y \le 0$

Converting that to interval notation leads to $(-\infty, 0]$ . Note the square bracket to include the endpoint.

The compound inequality $-\infty < y \le 0$ simplifies to $y \le 0$

One way to describe this particular relation's range is to say "The set of negative real numbers with 0 included".

Side note: The domain is the set of all possible x inputs. In this case, the domain is the set of all real numbers.

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3 years ago

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Gekata [30.6K]

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$\left[\begin{array}{ccc|c}1&2&1&-3\\2&1&-3&-20\\1&-1&5&19\end{array}\right]$

Add -2(row 1) to row 2, and -1(row 1) to row 3:

$\left[\begin{array}{ccc|c}1&2&1&-3\\0&-3&-5&-14\\0&-3&4&22\end{array}\right]$

Add -1(row 2) to row 3:

$\left[\begin{array}{ccc|c}1&2&1&-3\\0&-3&-5&-14\\0&0&9&36\end{array}\right]$

Multiply through row 3 by 1/9:

$\left[\begin{array}{ccc|c}1&2&1&-3\\0&-3&-5&-14\\0&0&1&4\end{array}\right]$

Add 5(row 3) to row 2:

$\left[\begin{array}{ccc|c}1&2&1&-3\\0&-3&0&6\\0&0&1&4\end{array}\right]$

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So we have $\boxed{x=-3,y=-2,z=4}$ .

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3 years ago