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Vlada [557]
3 years ago
13

Ayo show correct steps and get the right answer you'll get branliest its only one problem btw

Mathematics
1 answer:
Katarina [22]3 years ago
4 0

Answer:

Solve

1

Distribute

3

+

6

(

−

2

)

=

6

0

3y+{\color{#c92786}{6(y-2)}}=60

3y+6(y−2)=60

3

+

6

−

1

2

=

6

0

3y+{\color{#c92786}{6y-12}}=60

3y+6y−12=60

2

Combine like terms

3

+

6

−

1

2

=

6

0

{\color{#c92786}{3y}}+{\color{#c92786}{6y}}-12=60

3y+6y−12=60

9

−

1

2

=

6

0

{\color{#c92786}{9y}}-12=60

9y−12=60

3

Add

1

2

12

12

to both sides of the equation

9

−

1

2

=

6

0

9y-12=60

9y−12=60

9

−

1

2

+

1

2

=

6

0

+

1

2

9y-12+{\color{#c92786}{12}}=60+{\color{#c92786}{12}}

9y−12+12=60+12

4

Simplify

Add the numbers

Add the numbers

again

9

=

7

2

9y=72

9y=72

5

Divide both sides of the equation by the same term

9

=

7

2

9y=72

9y=72

9

9

=

7

2

9

\frac{9y}{{\color{#c92786}{9}}}=\frac{72}{{\color{#c92786}{9}}}

99y​=972​

6

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

=

8

y=8

y=8

Solution

=

8

Step-by-step explanation:

y=8

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3 years ago
Write an equation of the line passing through the points (4.15) and (-1. - 15).
jolli1 [7]

Answer:

y = 6x - 9

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS

<u>Algebra I</u>

Slope Formula: m=\frac{y_2-y_1}{x_2-x_1}

Slope-Intercept Form: y = mx + b

  • m - slope
  • b - y-intercept

Step-by-step explanation:

<u>Step 1: Define</u>

Point (4, 15)

Point (-1, -15)

<u>Step 2: Find slope </u><em><u>m</u></em>

  1. Substitute:                    m=\frac{-15-15}{-1-4}
  2. Subtract:                       m=\frac{-30}{-5}
  3. Divide:                          m=6

<u>Step 3: Find y-intercept </u><em><u>b</u></em>

  1. Define:                    y = 6x + b
  2. Substitute:              -15 = 6(-1) + b
  3. Multiply:                  -15 = -6 + b
  4. Isolate <em>b</em>:                 -9 = b
  5. Rewrite:                   b = -9

<u>Step 4: Write linear equation</u>

<em>Substitute in all variables.</em>

y = 6x - 9

And we have our answer!

4 0
3 years ago
Let the domain and codomain of functions f and g be the set of integers, f(x) = 2x+3, g(x) = 3x+2 What is the composition of f a
shutvik [7]

Answer:

Composition of f and g = 6x + 7

Composition of g and f = 6x + 11

Step-by-step explanation:

f(x) = 2x + 3

g(x) = 3x + 2

f(g(x)) = 2(g(x)) + 3 = 2(3x + 2) + 3 = 6x + 4 + 3 = 6x + 7

g(f(x)) = 3(f(x)) + 2 = 3(2x + 3) + 2 = 6x + 9 + 2 = 6x + 11

5 0
3 years ago
Solve the equation below
kotykmax [81]
1/3(12+x) = -8 (6-x)

Distribute the 1/3 and the -8 through their parentheses

4 + 1/3x = -48 + 8x

subtract 4 from each side

1/3x = -52 + 8x

subtract 8x from each side

1/3x - 8x = -52

combine like terms

1/3x - 24/3x = -52
-23/3x = -52

divide each side by -23/3 (multiply the reciprocal of the divisor)

x = -52 × -3/23
x = 156/23

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6 0
4 years ago
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g100num [7]

Answer:

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Step-by-step explanation:

Radius = ½(diameter)

Diagonal:

sqrt[243 + 243]

sqrt(486)

Diameter

sqrt(486 + 243)

27

Radius: 27/2

Volume of sphere:

4/3 × pi × r³

4/3 × 3.14 × (27/2)³

10300.77 cm³

3 0
3 years ago
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