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3 years ago

What is the reason for each step in the solution of the inequality?

Mathematics

1 answer:

Stolb23 [73]3 years ago

7 0

I think it is givin. But I’m am not 100% sure

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Please help as soon as possible 50 points

Morgarella [4.7K]

Answer:

the answer is d. 4x²+x-6

Step-by-step explanation:

In order to combine the fractions, they need to have the same denominator.

So, multiply each of their numerators by the denominator they need to be equivalent.

This would look like this:

3x/x+3 --> 3x(x)/x(x+3) ---simplify this as--> 3x²/x(x+3)

x-2/x --> (x-2)(x+3)/x(x+3) ---simplify this as --> x²+x - 6/x(x+3)

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

----- ---> ----- and -------- ---> ---------

x+3 x(x+3) x x(x+3)

now that both fractions have the same denominator, we can add their numerators.

3x² + x²+x-6 = 4x²+x -6

This should now look like this:

4x²+x -6

-------------

x(x+3)

8 0

3 years ago

Read 2 more answers

Maria solved the equation below and got x = –4. Which of the following choices verifies that her solution is correct? 5x + 22 =

VladimirAG [237]

5(-4)+22 = (-4)+6
-20+22 = -4+6
2 = 2
Maria is correct, since both sides equally match.

3 0

3 years ago

Read 2 more answers

Write an equation for the line in the given form.

Sergeeva-Olga [200]

Y-2=5(x+3) is the the answer

3 0

3 years ago

Find the arc length of ABC .

Salsk061 [2.6K]

Answer:

Step-by-step explanation:

Since the radius of the circle is 12 units, we can calculate the circumference.

2 * pi * r = 2 * pi * 12 = 24 * pi = 24pi.

The arc angle is 240 degrees, and the whole circle would be 360 degrees. So, we can set up an equation.

$\frac{24\pi }{360} =\frac{x}{240}$

$\frac{24\pi }{6} =\frac{x}{4}$

$\frac{4\pi }{1} =\frac{x}{4}$

1 * x = 4 * 4 * pi

x = 16pi

So, your answer is C.

Hope this helps!

4 0

3 years ago

108x25^2divided by<br>2^6 x 5^2

My name is Ann [436]

Answer:

108 x 25² divided by 2⁶ x 5² is equal to $42\frac{3}{16}$

Step-by-step explanation:

Given;

108 x 25² divided by 2⁶ x 5²

The expression is simplified as follows;

$\frac{108\times 25^2}{2^6 \times 5^2} = \frac{108\times 625}{64\times25} =\frac{675}{16} = 42\frac{3}{16}$

Therefore, 108 x 25² divided by 2⁶ x 5² is equal to $42\frac{3}{16}$

6 0

3 years ago