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2 years ago

Graph the equation using the slope and the y intercept 2x-3y=8

Mathematics

1 answer:

sammy [17]2 years ago

7 0

Step-by-step explanation:

<h2>Find slope-intercept structure </h2>

y=
$\frac{2}{3} x - \frac{8}{3}$
m=2/3, b=-8/3
therefore the slope will be 2/3

To find y-intercept

let x=0
2(0)-3y=8
-3y=8
y=-3/8

To find x-intercept

let y=0
2x-3(0)=8
2x=8
x=4

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Answer:

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Step-by-step explanation:

Given that:

Amount of juice in a punch bowl = 2 * 1/2 liters

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3 years ago

A conical-shaped umbrella has a radius of 0.4 m and a height of 0.45 m. Calculate the amount of fabric needed to manufacture thi

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Answer:

The correct answer will be "0.756596 m²".

Step-by-step explanation:

The given values are:

The radius of an umbrella,

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The height of an umbrella,

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As we know,

The lateral surface of an umbrella will be:

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On substituting the values, we get

⇒ $\pi \times 0.4\sqrt{(0.4)^2=(0.45)^2}$

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3 years ago

Find the horizontal and vertical asymptotes of f(x). f(x) equals = StartFraction 6 x Over x plus 2 EndFraction 6x x+2 Find the

miss Akunina [59]

Answer:

The horizontal asymptote can be described by the line y = 6

The vertical asymptote can be described by the line x = -2

Step-by-step explanation:

* Lets the meaning of vertical and horizontal asymptotes

- Vertical asymptotes are vertical lines which correspond to the zeroes

of the denominator of a rational function

- A horizontal asymptote is a y-value on a graph which a function

approaches but does not actually reach

- If the degree of the numerator is less than the degree of the

denominator, then there is a horizontal asymptote at y = 0

- If the degree of the numerator is greater than the degree of the

denominator, then there is no horizontal asymptote

- If the degree of the numerator is equal the degree of the denominator,

then there is a horizontal asymptote at y = leading coefficient of the

numerator ÷ leading coefficient of the denominator

* Lets solve the problem

∵ $f(x)=\frac{6x}{x+2}$

∵ The numerator is 6x

∵ The denominator is x + 2

∴ The numerator and the denominator have same degree

∵ The leading coefficient of the numerator is 6

∵ The leading coefficient of the denominator is 1

∴ There is a horizontal asymptote at y = 6/1

∴ The horizontal asymptote can be described by the line y = 6

- Put the denominator equal zero to find its zeroes

∵ The denominator is x + 2

∴ x + 2 = 0

- Subtract 2 from both sides

∴ x = -2

∴ The vertical asymptote can be described by the line x = -2

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