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liberstina [14]
3 years ago
9

Rewrite in simplest rational exponent form √x • 4√x. Show each step of your process.

Mathematics
1 answer:
miss Akunina [59]3 years ago
3 0
\sqrt{x} * 4\sqrt{x} \\4\sqrt{x * x} \\4\sqrt{x^{2}} \\4x
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3 (x+2)+9<6(x-3) solve the inequality and write the solution using interval notation​
Darya [45]

Answer:

(11, ∞).

Step-by-step explanation:

3 (x+2)+9<6(x-3)

3x + 6 + 9 < 6x - 18

-3x < -18 - 6 - 9

-3x < -33

x > 11       (Note the inequality flips as we are dividing by a negative value).

6 0
3 years ago
Two numbers multiply to be -7 and add to be -6. What are the numbers?<br><br> Example; 2,3
rewona [7]

<u>Given</u>:

Let the two numbers be x and y.

Two numbers multiply to be -7 and add to be -6.

This can be written in equation as,

xy=-7 and

x+y=-6

<u>Value of the two numbers:</u>

Let us determine the value of the two numbers using substitution method.

Substituting y=-6-x in the equation xy=-7, we get;

x(-6-x)=-7

Simplifying, we get;

       -6x-x^2=-7

   x^2+6x-7=0

(x+7)(x-1)=0

x=-7, 1

Thus, the values of x are x = 1,-7

When x = 1 , the equation x+y=-6 becomes y=-7

When x = -7, the equation x+y=-6 becomes y=1

Therefore, the two numbers are 1 and -7

3 0
3 years ago
Kate wants to divide 20,000 peso savings between her 2 cousins. If she divides it in the ratio 2:3 between Maria and Ana, respec
lara [203]

Maria: 2x

Ana: 3x

2x + 3x = 20000

5x = 20000

x = 20000/5

x = 400

Maria: 2x

2× 400

8000

Anna: 3x

3 × 400

12000

8 0
2 years ago
Please help me!!!You will get 20 points...
pashok25 [27]

Use the rule of 3, note that we will convert the hours to minutes:

60 - 84
75 - x

(75 * 84) / 60 = x
6,300 / 60 = x
105 = x

105 minutes = 1h 45m


Hope it helped,

Happy homework/ study/ exam!

4 0
3 years ago
The ratio of men to women is 5 to 8. If there are 286 employees total how many women work for the company ??
Brut [27]

Answer:

There are 176 women in the company.

Step-by-step explanation:

Let number of men are 5x and number of women are 8x.

Total number of employees in the company are 286.

But according to given condition, total no of employees are :

5x+8x = 286\\\\13x=286\\\\x=\dfrac{286}{13}\\\\x=22

Total no of women are 8x. It means 22\times 8=176. Hence, there are 176 women in the company.

6 0
3 years ago
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