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Ivenika [448]
3 years ago
14

Which of the followeing represents the solution... 4(9+3z)≤12+6z

Mathematics
1 answer:
julia-pushkina [17]3 years ago
8 0

Solving the inequality 4(9+3z)\leq 12+6z we get z\leq -4

Step-by-step explanation:

We need to solve the inequality 4(9+3z)\leq 12+6z

Solving:

4(9+3z)\leq 12+6z

Multiplying 4 with terms inside the bracket.

36+12z\leq 12+6z

Adding -36 on both sides:

12z\leq 12+6z-36

Adding -6z on both sides

12z-6z\leq 12-36

6z\leq -24

Divide both sides by 6

z\leq -4

So, solving the inequality 4(9+3z)\leq 12+6z we get z\leq -4

Keywords: Solving inequalities

Learn more about Solving inequalities at:

  • brainly.com/question/1465430
  • brainly.com/question/6703816
  • brainly.com/question/11788572
  • brainly.com/question/4192226

#learnwithBrainly

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klasskru [66]

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y = 2x - 4

Step-by-step explanation:

The equations are put in slope intercept form

Slope intercept form: y = mx + b

Where m = slope and b = y intersect

So in order to find the equation of the data represented by the table we will have to find the slope and y intercept

Let's begin!

First let's find the slope

We can find the slope by using the slope formula

m = (y2 - y1) / (x2 - x1) where the x and y values are derived from coordinates from the table

The points chosen may vary but I have chosen the points (0,-4) and (1,-2)

Now that we have chosen the points we will use to find the slope let's define the variables

remember coordinates are written like this: (x,y)

The x value of the second coordinate is 1 so x2 = 1

The x value of the first coordinate is 0

So x1 = 0

The y value of the second coordinate is -2 so y2 = -2

The y value of the first coordinate is -4

So y1 = -4

Now that we have defined each variable let's plug in the values into the formula

Formula: m = (y2 - y1) / (x2 - x1)

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Substitute values

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Evaluate

The negative signs cancel out on top and it changes to +4

m = (-2 + 4)/(1-0)

Add top values

m = 2/(1-0)

Subtract bottom numbers

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Simplify fraction

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So we can conclude that the slope (m) = 2

Now let's find the y intercept or "b"

The y intercept is the value of y when x = 0

If you look at the table when x = 0 y = -4 meaning that the y intercept or "b" is -4

Now that we have found everything let's find the equation of the data represented by the table

The equation is in slope intercept form

y = mx + b

Define variables

m = 2 and b = -4

Substitute values

y = 2x - 4

The equation is y = 2x - 4

4 0
2 years ago
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