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3 years ago

What is the slope...?

Mathematics

2 answers:

Margarita [4]3 years ago

8 0

Answer:

slope = -2

Step-by-step explanation:

To find the slope, you can use the slope formula, $\frac{y_2-y_1}{x_2-x_1}$ . $x_1$ and $y_1$ represent the x and y values of one point the line passes through, and $x_2$ and $y_2$ represent the x and y values of another point the line also passes through.

So, in order to answer the question, we need two points from the line. To find these points, look at the x and y values of the table - they form points. Thus, (-2, 0) and (-1,-2) would be two points the line passes through. Use those x and y values and substitute them into the formula. Then, solve:

$slope = \frac{y_2-y_1}{x_2-x_1}\\= \frac{(-2)-(0)}{(-1)-(-2)}\\= \frac{-2-0}{-1+2} \\= \frac{-2}{1} \\= -2$

Thus, the slope is -2.

ollegr [7]3 years ago

4 0

The slope would be -2

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Which graph represents the solution set of the system of inequalities? {y<−3x−2y<br> y≤x−2

irina1246 [14]

Answer:

Option 1

Step-by-step explanation:

In each inequality we have the equation of a line.

The first step in solving this problem is to identify each line in the figures.

To do this, we willient your cut points.

y = x-2

We do y = 0

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x = 2. This line cuts the x-axis at x = 2.

Now we do x = 0

y = -2.

This line cuts the y-axis in y = -2.

Now we can identify this line in the figure.

The inequality is:

y≤x - 2

Then the region that represents this inequality are all the points below the line y = x-2 and also those that belong to the line.

Try for example the point (0, -4) that is below this line.

-4≤0-2

-4≤-2. The inequality is met.

We do the same for the other line:

y<-3x - 2

y = -3x-2.

The cut points are:

2 = -3x

x = -2 / 3

y = -2

Locate in the graphs the line that meets these characteristics.

The region understood by this inequality are all points below the line

y = -3x-2 and which, in turn, are below the line y = x-2.

Once again, the point (-4.0) complies with both inequalities.

Identify these characteristics in the options, and you will see that the correct option is the first

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3 years ago

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MatroZZZ [7]

............................

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riadik2000 [5.3K]

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A bottling plant produces bottles of 500 ml at the production rate of 10,000 bottles per hour. An inspector randomly picks up 10

galben [10]

Answer:

e.none of these

Step-by-step explanation:

Computations For CC for Fraction defective

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1 0 0

2 0 0

3 2 0.02

4 1 0.01

5 0 0

6 1 0.01

7 2 0.02

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3 sigma control limits for p chart are given by:

$\overline{p} \pm 3\sqrt{\overline{p}\overline{q}/n}\Rightarrow 0.0075\pm 3\sqrt{\frac{0.0075*0.9925}{100}}$

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3 years ago

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Answer:

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Step-by-step explanation:

We have been given that Nigel is planning his training schedule for a marathon over a 4-day period. He is uncertain how many miles he will run on two days. One expression for the total miles he will run is $12+y+17+z$ .

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According to Commutative Property of Addition $a+b=b+a$ .

Similarly, we can write an equivalent expression to our given expression as:

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We can simplify our expression as:

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Therefore, our required expression would be $12+17+y+z$ or $29+y+z$ .

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3 years ago