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3 years ago

6x - 12 = 2 (3x - 9) + 6

Mathematics

1 answer:

sergey [27]3 years ago

6 0

Answer:

6x + -12 = 3x + 9

Reorder the terms:

-12 + 6x = 3x + 9

Reorder the terms:

-12 + 6x = 9 + 3x

Solving

-12 + 6x = 9 + 3x

Step-by-step explanation:

12 + 6x = 9 + 3x

-12 + 6x = 9 + 3x

-12 + 6x + -3x = 9 + 3x + -3x

6x + -3x = 3x

-12 + 3x = 9 + 3x + -3x

3x + -3x = 0

-12 + 3x = 9 + 0

-12 + 3x = 9

-12 + 12 + 3x = 9 + 12

-12 + 12 = 0

0 + 3x = 9 + 12

3x = 9 + 12

9 + 12 = 21

3x = 21

Divide each side by 3

x = 7

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If the function graphed is f(x), find f(1).

Crazy boy [7]

Locate 1 on the x axis. This is the horizontal number line.

Draw a vertical line through 1 on the x axis. Extend this vertical line as far up and down as you can.

Notice how the vertical line crosses the blue curve. Mark this point. Then draw a horizontal line from this point to the y axis. The horizontal line will touch -4 on the y axis. So that means the point (1,-4) is on the curve.

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So that's why the answer is choice A

7 0

3 years ago

The time Louis spends commuting to the gym can be represented by two expressions:

kakasveta [241]

Answer:

The expression that represents the total time Louis spends commuting to and from the gym each day is 8(x-2y)

Step-by-step explanation:

Given that the time Louis spends commuting to the gym can be represented by two expressions:

Time to gym: $2x-6y\hfill (1)$

Time from gym: $6x-10y\hfill (2)$

To find the expression that represents the total time Louis spends commuting to and from the gym each day :

The total time Louis spends commuting to and from the gym each day is equal to the sum of the Time to gym and Time from gym

Total time Louis spends commuting to and from the gym each day=2x-6y+6x-10y

=8x-16y

=8(x-2y)

Therefore Total time Louis spends commuting to and from the gym each day is 8(x-2y)

The expression that represents the total time Louis spends commuting to and from the gym each day is 8(x-2y)

5 0

3 years ago

Read 2 more answers

Please help me on this and I’ll give you 10 points for this because I really don’t understand it’s a water hopefully thank you s

maksim [4K]

I believe the answer is D because if you use the largest number in that group of numbers and divide that by 6 you get 6.6666 which is less than 7
Therefore the answer is D

6 0

2 years ago

Solve the equation by factoring<br>x^-2x=15

Reil [10]

Step-by-step explanation:

Add one to both sides of the equation:

$x^2 - 2x + 1 = 15 + 1$