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Vlad1618 [11]
3 years ago
7

What is y=2/5x+800 graphed

Mathematics
1 answer:
marusya05 [52]3 years ago
8 0

Answer:

The graph is a line with a gradient of 2/5, and which runs through the coordinate (0, 800) and (0, -2000).

Step-by-step explanation:

You can graph any line by drawing a line through two points that are on that line, and thus are part of the magical equation, which accounts for the description of any point on that line.

In fact that is exactly how a computer draws a graph. It plots a dot, wich coordinates are calculated by substituting a value in the formula. Next it does that for another coordinate, very close to the first one. Now you have two dots next to each other... and so on.

Because computers can calculate extremely fast, within an instant, the result is a plotted chart, which in this case looks like the graph of a line.

It's graph is a line with a gradient of 2/5, which goes through the y-axis at the coordinate (0, 800).

You could find another pont on this line, by randomly choosing a simple number for x and substituting that value in the equation. For an example, you could substitute x =2 in y=2/5x+800.

y = 2/5x+800

x = 2

y = 2/5*(2)+800

y = 10/5+800

y = 2+800

y = 802

So you now have another point (5, 802)

In general it is best to search for the value of x, when you substitute y = 0.

y = 2/5x + 800

y = 0

0 = 2/5x + 800

2/5x = ( -800 )

x = 5/2 * ( -800 )

x = -4000 / 2

x = -2000

So you now have another point ( which goes through the x-axis ) at the coordinate (0, -2000).

Now you can draw the graph of y=2/5x+800.

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Answer:

Inverse Variation

Step-by-step explanation:

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An event that has probability 1 <br>is said to be<br>​
mafiozo [28]

Answer:

guaranteed to occur

Step-by-step explanation:

An event that has a probability of 1 or in other terms P(E) = 1 is said to be guaranteed to occur. This is basically stating that the event has a 100% chance of happening, meaning that no matter what the external factors turn out to be in the scenario, the event will occur regardless. 1 basically represents 100%, while lower values such as 0.5 represent 50% when dealing with these probabilities.

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3 years ago
Find the center, vertices, and foci for the ellipse 25x^2 + 64y^2 = 1600
Alisiya [41]

Answer:

The answer to your question is below

Step-by-step explanation:

Data

Equation               25x² + 64y² = 1600

Process

1.- Divide all the equation by 1600

                             25x²/1600 + 64y²/ 1600 = 1600/1600

-Simplify

                              x²/64 + y²/ 25 = 1

2.- Equation of a horizontal ellipse

                             \frac{x^{2} }{a^{2}} + \frac{y^{2}}{b^{2}} = 1

3.- Find a, b and c

    a² = 64             a = 8

    b² = 25             b = 5

-Calculate c with the Pythagorean theorem

                   a² = b² + c²

-Solve for c

                   c² = a² - b²

-Substitution

                   c² = 8² - 5²

-Simplification

                  c² = 64 - 25

                  c² = 39

-Result

                  c = √13

4.- Find the center

          C = (0, 0)

5.- Find the vertices

          V1 = (-8, 0)     V2 = (8, 0)

6.- Find the foci

          F1 = (-√13, 0)   F2 = (√13, 0)

7 0
3 years ago
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Answer:

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Step-by-step explanation:

We can find (f+g)(x) by adding f(x) and g(x).

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(f+g)(x) = f(x) + g(x)

(f+g)(x) = (x² + 1) + (5 - x)

(f+g)(x) = x² + 1 + 5 - x

(f+g)(x) = x² - x + 6

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Determine the 20th term of the sequence: -14,-8, -2, 4, 10,
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Answer: The 20th term is 100

Step-by-step explanation: It adds by 6 each time

-14, -8, -2, 4, 10, 16, 22, 28, 34, 40, 46, 52, 58, 64, 70, 76, 82, 88, 94, 100

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