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3 years ago

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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With tax included, a couch costs $315. What does the couch cost before tax?

Orlov [11]

The $315 cost of the couch after tax, gives the cost before tax, <em>C</em>, as the following equation;

$Cost \: before \: tax, \: \: \mathbf {C} = \frac{315}{1 + t}$

<h3>How can the cost before tax be expressed?</h3>

The cost of the couch with tax = $315

Let, <em>t</em>, represent the tax rate, and let <em>C</em>, represent the cost before tax, we have;

315 = C + C × t

315 = C × (1 + t)

Which gives;

The cost of the couch before tax, <em>C </em>= 315/(1 + t)

Mathematically, we have the following equation;

$Cost \: before \: tax, \: \: \mathbf {C} = \frac{315}{1 + t}$

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23.79 ÷3 in long divison

Julli [10]

Answer:

The answer would be 7.93

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a water sprinkler sends water out in in a circle .how large is the watered area if the the watering Patten is 23 ft

Dennis_Churaev [7]

I'm guessing you're saying that the sprinkler is shooting out 23 ft of water.

This would be the same as the radius of a circle, and we're trying to find the area. Use the formula.

$\sf A=\pi r^2$

Plug in what we know:

$\sf A=\pi (23^2)$

$\sf A=529\pi ft^2$

This is what they could be looking for, an exact value. If they want an approximation, we can input 3.14 for Pi:

$\sf A\approx 529(3.14)$

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enyata [817]

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Step-by-step explanation:

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3 years ago

Find the roots of h(t) = (139kt)^2 − 69t + 80

Sonbull [250]

Answer:

The positive value of $k$ will result in exactly one real root is approximately 0.028.

Step-by-step explanation:

Let $h(t) = 19321\cdot k^{2}\cdot t^{2}-69\cdot t +80$ , roots are those values of $t$ so that $h(t) = 0$ . That is:

$19321\cdot k^{2}\cdot t^{2}-69\cdot t + 80=0$ (1)

Roots are determined analytically by the Quadratic Formula:

$t = \frac{69\pm \sqrt{4761-6182720\cdot k^{2} }}{38642}$

$t = \frac{69}{38642} \pm \sqrt{\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} }$

The smaller root is $t = \frac{69}{38642} - \sqrt{\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} }$ , and the larger root is $t = \frac{69}{38642} + \sqrt{\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} }$ .

$h(t) = 19321\cdot k^{2}\cdot t^{2}-69\cdot t +80$ has one real root when $\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} = 0$ . Then, we solve the discriminant for $k$ :

$\frac{80\cdot k^{2}}{19321} = \frac{4761}{1493204164}$

$k \approx \pm 0.028$

The positive value of $k$ will result in exactly one real root is approximately 0.028.

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