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Step2247 [10]
3 years ago
6

What is the solution to the equation -4(2x+3) = 2x+6-(8x+2)?

Mathematics
1 answer:
aivan3 [116]3 years ago
8 0

Answer:

x = -8

Step-by-step explanation:

-4(2x+3) = 2x+6-(8x+2)

Distribute

-8x-12= 2x+6-8x-2

Combine like terms

-8x-12 = -6x+4

Add 8x to each side

-8x-12 +8x = -6x+4+8x

-12 = 2x+4

Subtract 4 from each side

-12-4 = 2x+4-4

-16 = 2x

Divide each side by 2

-16/2 = 2x/2

-8 =x

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Step-by-step explanation:

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The data show the traveler spend- ing in billions of dollars for a recent year for a sample of the states. Find the range, varia
Svetllana [295]

Solution :

Given data :

20.1     33.5     21.7      58.4     23.2     110.8     30.9

24.0    74.8     60.0

n = 10

Range : Arranging from lowest to highest.

20.1,   21.7,   23.2,    24.0,   30.9,    33.5,    58.4,    60.0,    74.8,   110.8

Range = low highest value - lowest value

           = 110.8 - 20.1

           = 90.7

Mean = $\frac{\sum x}{n}$

         $=\frac{20.1+21.7+23.2+24.0+30.9+33.5+58.4+60.0+74.8+110.8}{10}$

          $=\frac{457.4}{10}$

         $=45.74$

Sample standard deviation :

$S=\sqrt{\frac{1}{n-1}\sum(x-\mu)^2}$

$S=\sqrt{\frac{1}{10-1}(20.1-45.74)^2+(21.7-45.74)^2+(23.2-45.74)^2+(24.0-45.74)^2+(30.9-45)^2}$  

      \sqrt{(33.5-45.74)^2+(58.4-45.74)^2+(60.0-45.74)^2+(74.8-45.74)^2+(110.8-45.74)^2}

$S=\sqrt{\frac{1}{9}(657.4+577.9+508.0+472.6+220.2+149.8+160.2+203.3+844.4+4232.8)}$$S=\sqrt{\frac{1}{9}(8026.96)}$

$S=\sqrt{891.88}$

S = 29.8644

Variance = S^2

               =(29.8644)^2

               = 891.8823

6 0
3 years ago
Please help me with this and please give me the right answer it’s due tommorow
NARA [144]
First, look and compare at the decimal places in brackets ( ) .

A. (0).561 , (8).627 , (5).325 (wrong)

B. 4.(0)57, 4.(1)22, (5).008 (4.0.., 4.1.., 5.00..) least to greatest - (correct)

C. 1.(7)42 , 1.(5)58, 1.(6)71 - (wrong)

D. Greatest to least - (wrong)
5 0
3 years ago
Which are the solutions of x2 = –5x + 8?
Luda [366]

Answer:

  x = -2.5 ± √14.25

Step-by-step explanation:

Add 5x to prepare for "completing the square."

  x² +5x = 8

Add the square of half the x-coefficient:

  x² +5x + 2.5² = 8 + 2.5²

  (x +2.5)² = 14.25

Take the square root.

  x +2.5 = ±√14.25

Subtract 2.5.

  x = -2.5 ± √14.25 ≈ {-6.27492, 1.27592}

4 0
3 years ago
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