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Maslowich
3 years ago
9

Simplify 3x - 4 - 5x = 6 + 4x + 2

Mathematics
1 answer:
AfilCa [17]3 years ago
8 0

Answer:

x=-2

Step-by-step explanation:

-2x-4=8+4x

-6x=8+4

-6x=12

divide both side by -6

x=-2

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What is the approximate circumference of a circle with a diameter of 500 kilometers? Use π ≈ 3.14.. . A.. 785 kilometers. . B..
Anestetic [448]
3.14×500= 1570 kilometers
8 0
3 years ago
Read 2 more answers
Somebody help<br> 7x - [4x-3(x-1)]=x+ 12
Georgia [21]

Answer:

Step-by-step explanation:

Simplificando

7x + -1 [4x + -3 (x + -1)] = x + 12

Reordenar los términos:

7x + -1 [4x + -3 (-1 + x)] = x + 12

7x + -1 [4x + (-1 * -3 + x * -3)] = x + 12

7x + -1 [4x + (3 + -3x)] = x + 12

Reordenar los términos:

7x + -1 [3 + 4x + -3x] = x + 12

Combinar términos semejantes: 4x + -3x = 1x

7x + -1 [3 + 1x] = x + 12

7x + [3 * -1 + 1x * -1] = x + 12

7x + [-3 + -1x] = x + 12

Reordenar los términos:

-3 + 7x + -1x = x + 12

Combinar términos semejantes: 7x + -1x = 6x

-3 + 6x = x + 12

Reordenar los términos:

-3 + 6x = 12 + x

Resolviendo

-3 + 6x = 12 + x

Resolviendo para la variable 'x'.

Mueva todos los términos que contengan x hacia la izquierda, todos los demás términos hacia la derecha.

Agrega '-1x' a cada lado de la ecuación.

-3 + 6x + -1x = 12 + x + -1x

Combinar términos semejantes: 6x + -1x = 5x

-3 + 5x = 12 + x + -1x

Combinar términos semejantes: x + -1x = 0

-3 + 5x = 12 + 0

-3 + 5x = 12

Agrega '3' a cada lado de la ecuación.

-3 + 3 + 5x = 12 + 3

Combinar términos semejantes: -3 + 3 = 0

0 + 5x = 12 + 3

5 veces = 12 + 3

Combinar términos semejantes: 12 + 3 = 15

5 veces = 15

Divida cada lado por '5'.

x = 3

Simplificando

x = 3

7 0
3 years ago
  Sarah Wiggum would like to make a single investment and have ​$1.7 million at the time of her retirement in 34 years. She has
vovangra [49]

Answer:

Sarah has to invest $502,958.58 today.

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

E = P*I*t

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

T = E + P

In this question:

t = 35, I = 0.07, T = 1700000

She has to invest P today.

T = E + P

1700000 = E + P

E = 1700000 - P

So

E = P*I*t

1700000 - P = P*0.07*34

3.38P = 1700000

P = \frac{1700000}{3.38}

P = 502958.58

Sarah has to invest $502,958.58 today.

8 0
3 years ago
NEED HELP HERE ASAP<br><br> 6. Find the cube roots of 27(cos 330° + i sin 330°).
VLD [36.1K]
<span>we have that

the cube roots of 27(cos 330° + i sin 330°) will be
</span>∛[27(cos 330° + i sin 330°)]

we know that
e<span>^(ix)=cos x + isinx
therefore
</span>∛[27(cos 330° + i sin 330°)]------> ∛[27(e^(i330°))]-----> 3∛[(e^(i110°)³)]
3∛[(e^(i110°)³)]--------> 3e^(i110°)-------------> 3[cos 110° + i sin 110°]

z1=3[cos 110° + i sin 110°]

 cube root in complex number, divide angle by 3
360nº/3 = 120nº --> add 120º for z2 angle, again for z3
<span>therefore
</span>
z2=3[cos ((110°+120°) + i sin (110°+120°)]------ > 3[cos 230° + i sin 230°]

z3=3[cos (230°+120°) + i sin (230°+120°)]--------> 3[cos 350° + i sin 350°]
<span>
the answer is 

</span>z1=3[cos 110° + i sin 110°]<span>

</span>z2=3[cos 230° + i sin 230°]

z3=3[cos 350° + i sin 350°]<span>

</span>
7 0
3 years ago
Solve for x:<br><br> x2 + 8x = -1
olga nikolaevna [1]
x^2+8x=-1\\&#10;x^2+8x+16-16=-1\\&#10;(x+4)^2=15\\&#10;x+4=\sqrt{15} \vee x+4=-\sqrt{15}\\&#10;x=-4+\sqrt{15} \vee x=-4-\sqrt{15}
7 0
3 years ago
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