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3 years ago

-6 < x - 4 < 2 solve

Mathematics

1 answer:

kati45 [8]3 years ago

5 0

Answer:

- 2 < x < 6

Step-by-step explanation:

- 6 < x - 4 < 2 ( add 4 to each interval )

- 2 < x < 6

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Two-fifths of one less than a number is less than three-fifths of one more than that number. What numbers are in the solution se

wlad13 [49]

Answer:

Step-by-step explanation:

Let the number = x

2/5 (x - 1)

3/5 (x + 1)

2/5 (x - 1 ) < 3/5(x+ 1) Multiply both sides by 5

2(x - 1) < 3 ( x + 1) Remove the brackets.

2x - 2 < 3x + 3 Add 2 to both sides

2x < 3x + 5 Subtract 3x from both sides

2x - 3x < 5

- x < 5 Here's the tricky part . Divide by - 1

x > -5 Notice what happened. The < become > That happens because you have divided (or multiplied) by a negative number.

The original question 2/5 (x - 1 ) < 3/5(x+ 1) was graphed. The red part is every value that satisfies the inequality. You should be using a y and x together to find a more suitable answer using this program. But if you just look along the x axis, you will see that the < has been turned around.

B The second one from the top.

8 0

3 years ago

Read 2 more answers

Find the slope of every line that is parallel to the line on the graph.

melamori03 [73]

Answer:

-1/5

Step-by-step explanation:

What are parallel lines?

Lines that are parallel never touch. They can extend infinitely and they will still never touch. In order for this to happen the slope of the two lines must be the same. So if we want to find the slope of every line that is parallel to the line on the graph, we simply find the slope of the line of the graph.

Finding the slope

We can find the slope using the following formula:

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

Where the x and y values are derived from any given points on the line (x1,y1) and (x2,y2)

Here the given points are (-5,-1) and (0,-2)

So we have (x1,y1) = (-5,-1) meaning x1 = -5 and y1 = -1

We also have (x2,y2) = (0,-2) meaning x2 = 0 and y2 = -2

Now we plug these values into the formula

Recall formula : $Slope=\frac{y_2-y_1}{x_2-x_1}$

==> Plug in x1 = -5 , y1 = -1 , x2 = 0 and y2 = -2

$Slope=\frac{-2-(-1)}{0-5}$

==> simplify numerator and denominator

$slope = \frac{1}{-5}$

So the slope of the line is -1/5

This means the slope of any parallel line to that line would also have a slope of -1/5

8 0

2 years ago

Plot a point on the coordinate plane to represent each of the ratio values in the table. plz help me

Anna71 [15]

Answer:

Step-by-step explanation:

7 0

3 years ago

Solve the system using multiplication for the linear combination method.

kipiarov [429]

6x-3y=3
-2x+6y=14.
First step is multiply the top equation by 2, so you have
12x-6y=6
-2x+6y=14
-6y and +6y cancel each other out, so if you simplify, you have
10x=20, which is then solved by dividing each side by 10, and getting x=2.

Now plug x=2 into one of the equations (I chose the first)
6(2)-3y=3
12-3y=3
-3y=-9, divide each side by -3 and get y=3.
so your point is (2,3)

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3 years ago

Zeus Industries bought a computer for $2883. It is expected to depreciate at a rate of 27% per year. What will the value of the

nignag [31]

After 4 years the value of the computer is 818.44

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3 years ago