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3 years ago

HW Set 1/ Directions: Solve each equ 1. ) 4x + 27 = 3x

Mathematics

1 answer:

gavmur [86]3 years ago

8 0

Answer:

x = -27

Step-by-step explanation:

4x+27=3x

Subtract 3x from both sides of the equation.

==> 4x + 27 -3x = 3x - 3x

==> 4x - 3x + 27 = 0

==> 1x + 27 = 0

Subtract 27 from both sides,

==> x + 27 - 27 = 0 - 27

==> x = -27

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Shortern this expression pls

pogonyaev

Answer:

$c =\frac{8}{3}$

Step-by-step explanation:

Given

$c = \sqrt{\frac{4 + \sqrt 7}{4 - \sqrt 7}} + \sqrt{\frac{4 - \sqrt 7}{4 + \sqrt 7}}$

Required

Shorten

We have:

$c = \sqrt{\frac{4 + \sqrt 7}{4 - \sqrt 7}} + \sqrt{\frac{4 - \sqrt 7}{4 + \sqrt 7}}$

Rationalize

$c = \sqrt{\frac{4 + \sqrt 7}{4 - \sqrt 7} * \frac{4 + \sqrt 7}{4 + \sqrt 7}} + \sqrt{\frac{4 - \sqrt 7}{4 + \sqrt 7}*\frac{4 - \sqrt 7}{4 - \sqrt 7}}$

Expand

$c = \sqrt{\frac{(4 + \sqrt 7)^2}{4^2 - (\sqrt 7)^2}} + \sqrt{\frac{(4 - \sqrt 7)^2}{4^2 - (\sqrt 7)^2}$

$c = \sqrt{\frac{(4 + \sqrt 7)^2}{16 - 7}} + \sqrt{\frac{(4 - \sqrt 7)^2}{16 - 7}$

$c = \sqrt{\frac{(4 + \sqrt 7)^2}{9}} + \sqrt{\frac{(4 - \sqrt 7)^2}{9}$

Take positive square roots

$c =\frac{4 + \sqrt 7}{3} + \frac{4 - \sqrt 7}{3}$

Take LCM

$c =\frac{4 + \sqrt 7 + 4 - \sqrt 7}{3}$

Collect like terms

$c =\frac{4 + 4+ \sqrt 7 - \sqrt 7}{3}$

$c =\frac{8}{3}$

4 0

3 years ago

If you made 4 Burger in one min how much Burger would you make in 30 min?

mixer [17]

Answer:

120 burgers

Step-by-step explanation:

1 minute per four burgers

4 times 30 is 120

8 0

3 years ago

Ax-bx+y=z the formula that could be used to find x

Illusion [34]

ax-bx+y=z the formula that could be used to find x

Answer:

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3 years ago

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kow [346]

Answer:

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2 years ago

WILL GIVE BRAINLIEST!!!!!!!!!!!!!! Select the points that are solutions to the system of inequalities. Select all that apply

liq [111]

Hello there!

the solutions to this system of inequalities are every point in the blue area. In order to figure out if each of those choices are solutions, just graph the points, and if they are in the blue, they are solutions.

Using this method, you get A and C as your answers because they are in the blue region.

I really hope this helps!
Best wishes :)

5 0

3 years ago