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salantis [7]
3 years ago
10

What is the y-intercept ??? Please show step by step!!

Mathematics
2 answers:
slavikrds [6]3 years ago
4 0

Answer:

(0, 1)

Step-by-step explanation:

The y-intercept is where a graph intersects with the y-axis. The x-coordinate would be 0, and the y-coordinate would be any real number.

Given the information above, the y-intercept is (0, 1) or 1 because its x-coordinate is 0 and y-coordinate is a real number.

IrinaVladis [17]3 years ago
4 0

Answer:

y-intercept is (0,1)

Step-by-step explanation:

When we are looking at the chart we’re looking for a point where the x is 0 and the y is 1 which is the definition of y-intercept, where the line intersects only with the y-axis

We can see this in the chart but if that point is not on there, we have another way to find it.

This is the formula, point-slope form.

(Math people are not that creative, you use it when you have the slop and a point)

First, we need to find the slope

We do this by taking two points and using the formula y2-y1 over (/) x2-x1

So our formula is y2-y1/x2-x1.

If you pick two random points, (We will use 0,1 and 1,3) and subtract them from each other, you have the slope

3 is y2 because it’s a y point and its the second point and 1 is our other point because its a y point and its the first y point

So our equation now is 3-1/x2-x1

Now we have to sub in for the x’s

Do the same thing and our equation now is…

3-1/1-0

This gets us to 2/1 which is obviously 2.

Now we have our slope so we just have to fill in for the point.

Point slope form uses the model y-y1=m(x-x1)

So we use our same two points and get

Y-1=2(x-0)

Solve this out to Slope intercept form which will give us our y-intercept.

This gets us to y=2x+1 so our y-intercept is clearly still 1!

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The number of daily sales of a product was found to be given by S = 600xe−x2 + 600 x days after the start of an advertising camp
Elena-2011 [213]

Answer:

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b. 12600

Step-by-step explanation:

Given the function S = 600xe^-x² + 600.

a. To find the average, we have to find the definite integral of the function because average, as it is known, is the sum of data points divided by the size of its dataset, this can be used for discrete data. Integral formula is just the continuous form of average, so we are using integral because we were given an interval of x= 0 to X = 30.

Let's integrate 100xe^x² first. Let –x² = u, this means –2xdx = du and we have dx = –du/2x. Also, when x = 0, u = –(0)² = –0 and when x = 30, u = –(30)² = –900. When we make our substitutions we have:

–600(xe^udu)/2x = –600(e^udu)/2 upon integrating that we have –600(e^u)/2. Applying our interval we have

–600[(e^900)/2 – (e^0)/2] ≈ – [– 3.7 – (1/2)] = –600 (–4.2) = 600 x 4.2 = 2520

Now let's integrate 600, with the interval x = 0 to x = 30 (we are using this interval here because the substitution we made didn't affect this).

We have, upon integrating:

600x.

Substituting our intervals we have:

600(30 – 0) = 600 x 30 = 18000.

Adding that up we have: 2520 + 18000 = 20520.

b. The same method is needed, just difference of interval.

Therefore, after integrating the first component with intervals u = 900 to u = 2500 (from x² = u) we have:

–600[(e^2500)/2 – (e^900)/2] ≈ –600[2.7 – 3.7] = –600(–1) = 600.

Then for the second component:

600x using x = 30 to x = 50

600(50 – 30) = 600 x 20 = 12000.

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12000 + 600 = 12600.

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3 years ago
5/4 to 3/8 as a percent change
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