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3 years ago

4x-6>6x-20 solve for the inequality

Mathematics

1 answer:

IgorC [24]3 years ago

3 0

Answer:

x < 7

Step-by-step explanation:

4x - 6 > 6x - 20

Add 6 to both sides.

4x - 6(+6) > 6x -20(+6)

Simplify.

4x > 6x - 14

Subtract 6x from both sides.

4x(-6x) > 6x(-6x) - 14

Simplify.

-2x > -14

Multiply both sides by -1 (reverse the inequality).

(-2x)(-1) < (-14)(-1)

Simplify.

2x < 14

Divide both sides by 2.

2x/2 < 14/2

Simplify.

x < 7

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Simplify expression x8y-26/x14y-5 × x-39y-21

koban [17]

The simplified form of the expression is $x^{-45} y^{-42}$

<h3>Simplifying an expression</h3>

From the question, we are to simplify the given expression

The given expression is

$\frac{x^{8}y^{-26} }{x^{14}y^{-5} } \times x^{-39} y^{-21}$

The expression can be simplified as shown below

$\frac{x^{8}y^{-26} }{x^{14}y^{-5} } \times x^{-39} y^{-21}$

$\frac{x^{8} \times x^{-39} \times y^{-26} \times y^{-21} }{x^{14} \times y^{-5} }$

$\frac{x^{8+-39} \times y^{-26+-21} }{x^{14} \times y^{-5} }$

$\frac{x^{8-39} \times y^{-26-21} }{x^{14} \times y^{-5} }$

$\frac{x^{-31} \times y^{-47} }{x^{14} \times y^{-5} }$

Then,

$\frac{x^{-31} }{x^{14} } \times \frac{ y^{-47} }{ y^{-5} }$

$x^{-31-14} \times y^{-47--5}$

$x^{-31-14} \times y^{-47+5}$

$x^{-45} \times y^{-42}$

$x^{-45} y^{-42}$

Hence, the simplified form of the expression is $x^{-45} y^{-42}$

Learn more on Simplifying an expression here: brainly.com/question/2320607

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2 years ago

Solve the system of elimination -2x+2y+3z=0 -2x-y+z=-3 2x+3y+3z=5

Dahasolnce [82]

Answer:

x = 1 , y = 1 and z = 0

Step-by-step explanation:

-2x+2y+3z=0 ------(1)

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

2x+3y+3z=5 ---------(3)

<u>To find the values of x,y and z</u>

(3) - (2)⇒ 2y + 4z = 2

y + 2z = 1 --------(4)

(1) - (2)⇒ 3y +2z =3 ---(5)

(5) - (4)⇒ 2y = 2

y = 1

Substituting the value of y in (4) we get z =0

Substituting the value of y and z in (1) we get x = 1

Therefore x = 1 , y = 1 and z = 0

5 0

3 years ago

Card

Burka [1]

Answer:

19,27 cm^2

Step-by-step explanation:

area of triangle = (6 x 3)/ 2 = 9 cm^2

circle area : 3^2 x 3,14 = 28,27 cm^2

area of shaped region = 28,27 - 9 = 19,27 cm^2

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3 years ago

Please Help there are 3 questions.

Nina [5.8K]

Answer:

1) There are 15 in it, which means we need to find the 8th. The 8th is 6, which means the median is 6. We then need to find the other quartiles.

8/2=4, which means we need to look at the 4th,5th and 12th,13th.

The first one is FIVE, and the second is SEVEN. Therefore, the FIRST ONE.

2)113

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2 years ago

What is the markup percent on a diamond for which the markup is $870 and the selling price is $2870?

ryzh [129]

Answer:

30.31%

Step-by-step explanation:

Mark up on selling price is given by markup*100%/selling price

In this case, markup is given as $870 while the selling price is $2870 hence the percentage of narkup to selling price will be given by $\frac {870\times 100}{2870}=30.313588850174\approx 30.31$

Therefore, the percentage of markup to selling price is approximately 30.31%

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3 years ago