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2 years ago

Which number line represents the solution set for the inequality 2x – 6 ≥ 6(x – 2) + 8?

Mathematics

1 answer:

vovangra [49]2 years ago

4 0

Answer: x≤ -0.5

Step-by-step explanation: Graph the two lines or solve for x:

2x – 6 ≥ 6(x – 2) + 8

2x – 6 ≥ 6x – 12 + 8

2x – 6 ≥ 6x – 4

-4x ≥ 2

x ≤ -1/2 [Inequality is reversed when multiplying or dividing by a negative number]

The number line is anything less than or equal to - 1/2

Or one can plot each side of the inequality and note the interception point (x = -(1/2)).

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HELP PLEASE: Which is the equation of the graphed line written in

maksim [4K]

Answer:

$x - y = 0$

Step-by-step explanation:

Required

The graph equation

From the graph, we have:

$(x_1,y_1) = (0,0)$

$(x_2,y_2) = (1,1)$

The slope of the graph is:

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

$m = \frac{1-0}{1-0}$

$m = \frac{1}{1}$

$m =1$

So, the graph equation is:

$y = m(x - x_1) + y_1$

$y = 1 * (x - 0) + 0$

$y = 1 * x$

$y = x$

In standard form, we have:

$x - y = 0$

6 0

3 years ago

When factored completely, the expression 3x2 - 9x + 6 is equivalent to

Lunna [17]

Let's see what the options look like when we multiply the expressions in brackets:

(first, i multiply both parts of the second bracked by the first part of the first bracket, and then the same with the second part of the first bracket:
<span>(1) (3x - 3)(x - 2))

3x2 +6x -3x +6// this is not correct

(2) (3x + 3)(x - 2) </span>

3x2-6x+3x-6//this is not correct

(3)

3(x + 1)(x - 2)
3(x2-2x+x-2)//simplifying:
3(x2-x-2)//multiplying:
3x2-3x-6)
- so this is not correct either
(4) 3(x - 1)(x - 2)
3(x2-2x - x + 2)
3(x2-3x +2)
3x2-9x +6 - well, here is our winner!

8 0

3 years ago

Read 2 more answers

36 workers I need 1 pen for each worker. For every 3 people who prefer red pens,there are 9 who prefer blue. How many blue pens

Klio2033 [76]

Blue 9 x 3 = 27
red 3 x 3 = 9
27 + 9 = 36
I hope this helps

7 0

3 years ago

Read 2 more answers

Plss help I’ll mark brainliest

melamori03 [73]

Answer: