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Karolina [17]
3 years ago
6

12 = 6(n – 7) Solve 2 -step equation

Mathematics
2 answers:
Anuta_ua [19.1K]3 years ago
5 0

Answer:

9 = n

Step-by-step explanation:

12 = 6(n – 7)

12 = 6n - 42. Use the distributive property

12 = 6n - 42

+42. +42. Inverse operations

54 = 6n

÷6. ÷6

9 = n

madam [21]3 years ago
4 0

Answer:

9 = n

Step-by-step explanation:

12 = 6(n – 7)

Divide by 6 on both sides

12/6 = 6/6(n – 7)

2 = n-7

Add 7 to each side

2+7 = n-7+7

9 = n

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5. Which of the following linear functions has a graph which passes through points (−5,−2) and (−3,0)?
sergeinik [125]

Answer:

f(x) = x + 3

Step-by-step explanation:

Given

Points (−5,−2) and (−3,0)

Required

Find a linear function that passes through the given points

The question implies that we solve for the equation for the line;

First, the slope of the line must be calculated;

This is calculated as thus:

m = \frac{y_2 - y_1}{x_2 - x_1}

Where (x_1,y_1) = (-5,-2)\ and\ (x_2,y_2) = (-3,0)

So, m = \frac{y_2 - y_1}{x_2 - x_1} becomes

m = \frac{0 - (-2)}{-3 - (-5)}

m = \frac{0 + 2}{-3 + 5}

m = \frac{2}{2}

m = 1

The equation of the line can then be calculated using any of the given points;

Using

m = \frac{y - y_1}{x - x_1}

Where\ (x_1,y_1) = (-5,-2)\ and\ m =1

We have

1 = \frac{y-(-2)}{x-(-5)}

1 = \frac{y+2}{x+5}

Multiply both sides by x + 5

(x+5)*1 = \frac{y+2}{x+5} * (x+5)

x + 5 = y + 2

Subtract 2 from both sides

x + 5 - 2 = y + 2 - 2

x + 3 = y

y = x + 3

Replace y with f(x)

f(x) = x + 3

Hence, from the list of given options; Option B is correct

8 0
3 years ago
How would you put this expression in factored form? 4x2 + 11x + 6
Mice21 [21]

Answer:

Its (4x+3)(x+2) 100%

Step-by-step explanation:


8 0
3 years ago
Read 2 more answers
Find the solution to the system of equations. 4x + 3y = –1 3x – 9y = 33 solution = ( , )
tensa zangetsu [6.8K]

Answer:

(x, y) =(2,-3)

Step-by-step explanation:

4x+3y=-1

3x-9y=33 /:3

4x+3y=-1.....(1)

x-3y=11... (2)

(1)+(2): 5x=10

x-3y=11

x=10/5

x-3y=11

x=2

2-3y=11

x=2

-3y=11-2

x=2

-3y=9

x=2

y=9/(-3)

x=2

y=-3

(x,y)=(2,-3)

8 0
2 years ago
Read 2 more answers
Help me find the measures
Ronch [10]
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7 0
3 years ago
Help help help help help
baherus [9]

{4}^{5}   \div  {4}^{2}  \\  = {4}^{5 - 2}  \\  = 4^{3}

5 0
2 years ago
Read 2 more answers
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