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3 years ago

How do I make a graph for this?

Mathematics

1 answer:

12345 [234]3 years ago

5 0

To calculate the slope of a line you need only two points from that line, (x1, y1) and (x2, y2).

The equation used to calculate the slope from two points is:On a graph, this can be represented as:

There are three steps in calculating the slope of a straight line when you are not given its equation.

Step One: Identify two points on the line.Step Two: Select one to be (x1, y1) and the other to be (x2, y2).Step Three: Use the slope equation to calculate slope.

Take a moment to work through an example where we are given two points.

Example

Let's say that points (15, 8) and (10, 7) are on a straight line. What is the slope of this line?

Step One: Identify two points on the line.In this example we are given two points, (15, 8) and (10, 7), on a straight line.Step Two: Select one to be (x1, y1) and the other to be (x2, y2).It doesn't matter which we choose, so let's take (15, 8) to be (x2, y2). Let's take the point (10, 7) to be the point (x1, y1).Step Three: Use the equation to calculate slope.Once we've completed step 2, we are ready to calculate the slope using the equation for a slope:We said that it really doesn't matter which point we choose as (x1, y1) and the which to be (x2, y2). Let's show that this is true. Take the same two points (15, 8) and (10, 7), but this time we will calculate the slope using (15, 8) as (x1, y1) and (10, 7) as the point (x2, y2). Then substitute these into the equation for slope:We get the same answer as before!

Often you will not be given the two points, but will need to identify two points from a graph. In this case the process is the same, the first step being to identify the points from the graph. Below is an example that begins with a graph.

Example

What is the slope of the line given in the graph?
The slope of this line is 2.

[detailed solution to example]

Now, take a moment to compare the two lines which are on the same graph.

Notice that the line with the greater slope is the steeper of the two. The greater the slope, the steeper the line. Keep in mind, you can only make this comparison between lines on a graph if: (1) both lines are drawn on the same set of axes, or (2) lines are drawn on different graphs (i.e., using different sets of axes) where both graphs have the same scale.

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A jackets original price is $65.00 .It is on sale for 40% off. you have to pay 5% sales tax What is the final price fir the jack

lesya [120]

Hello!

There is a discount of 40%, which means that we will be subtracting 40% of the price, and then sales tax is basically additional money added to the price, so we will be adding that.

65.00 * 40% = 26

65.00 - 26 = 39

So, the discounted price is $39. Now we must add tax on that.

39 * 5% = 1.95

39 + 1.95 = 40.95

The final price of the jacket is $40.95.

7 0

3 years ago

5-2.5 , how is this 2.5?

Y_Kistochka [10]

Well 2.5 + 2.5 is 5 so 5 - 2.5 is 2.5

5 0

3 years ago

Read 2 more answers

What is the sum of the interior angles of the polygon shown below

DanielleElmas [232]

Answer:

720 degrees.

Step-by-step explanation:

The sum of the interior angles of a convex polygon with n sides is

180(n - 2) degrees.

In this case, n = 6 sides, so the angle sum is

180(6 - 2) = 180(4) = 720 degrees.

The reason this works is that if you draw a diagonal from one vertex to the others (see attached image), you get 2 fewer triangles than the number of sides. Each triangle contains a total of 180 degrees, so the total of all the interior angles is 180(n - 2).

7 0

2 years ago

A population of 1,500 insects grows exponentially by a factor of 3 every week. Select all equations that represent or approximat

Andreas93 [3]

Answer:

FV(p)= PV*(1 + g)^t

Step-by-step explanation:

Giving the following information:

Number of insects (PV)= 1,500

Increase rate= 3 weekly

First, we need to calculate the daily growth rate:

Daily rate (g)= [3^(1/7)] - 1

Daily rate (g)= 0.16993

Now, by using the following formula, we can determine the population p in any given day t:

FV(p)= PV*(1 + g)^t

For, example after 7 days:

FV(p)= 1,500*(1.16993^7)

FV(p)= 4,500

For example, after 10 days:

FV(p)= 1,500*(1.16993^10)

FV(p)= 7,206

4 0

2 years ago

2. When a large truckload of mangoes arrives at a packing plant, a random sample of 150 is selected and examined for

kirza4 [7]

a) The 90% confidence interval of the percentage of all mangoes on the truck that fail to meet the standards is: (7.55%, 12.45%).

b) The margin of error is: 2.45%.

c) The 90% confidence is the level of confidence that the true population percentage is in the interval.

d) The needed sample size is: 271.

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions has the bounds given by the rule presented as follows:

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

The margin of error is given by:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

The variables are listed as follows:

$\pi$ is the sample proportion, which is also the estimate of the parameter.

z is the critical value.

n is the sample size.

The confidence level is of 90%, hence the critical value z is the value of Z that has a p-value of $\frac{1+0.90}{2} = 0.95$ , so the critical value is z = 1.645.