When graphing a linear function in slope-intercept form, why do you have to plot the y-intercept first?

1 answer:

8 0

The y-intercept is the starting point. If you started plotting the slope for say, your line could be in the wrong location. The y-intercept shows you where you need to plot the line.

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Write an equation of a rational function that has a hole at 3, a vertical asymptote at -4 and a horizontal asymptote at 2

Sauron [17]

F(x)=2x(x-3)/(x+4)(x+3), Creation of the hole: have 3 as a solution for both numerator and denomenator
Formation of a vertical asymptote at -4: have the denominator equal to zero when plugging in -4 such that the denominator equals to zero,
horizontal asymptote: have the highest degree of numerator and denominator equal and the quotient of their coefficient equal to 2(ever wonder why there is an "x" in the numerator? It is to set the highest degree of the numerator and denominator equal to each other.
If you need more explanations, ask, glad to help.

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3 years ago

What are the domain and range of the function f(x) = 4?

pychu [463]

Domain is all real numbers
Range is {4}.

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3 years ago

What is the volume of a sphere with a radius of 24 units?

Dennis_Churaev [7]

Answer:yessir

Step-by-step explanation:

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3 years ago

PLEASE ANSWER!!! WILL MARK BRAINLIEST!!!!!!!!

tia_tia [17]

Let 'x' represent the total distance from point A to point B

During the first hour he gets 0.25 of the way there: 0.25x

During the second hour he covers an additional 0.2 of the distance: 0.2x

During the third hour, he covers 0.3 of the distance: 0.3x

The total distance the biker traveled is:

0.25x + 0.2x + 0.3x = (0.25 + 0.2 + 0.3)x = 0.75x

The biker has: x - 0.75x = (1 - 0.75)x = 0.25x of the total distance left to go.

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3 years ago

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A pair of fair dice is cast. what is the probabiliy that the sum of the numbers falling uppermost is 9, given that at least one

WITCHER [35]

If a pair of fair dice is cast, the probability that the <span>sum of the numbers falling uppermost is 9, given that at least one of the numbers falling uppermost is a 3 is given by:

$\frac{P(sum\, of\, 9\, \cup\,3)}{P(3)}$

The number of outcomes of sum of 9 where at last one is 3 is (3, 6) and (6, 3) = 2.

</span>The number of outcomes of last one of the numbers falling uppermost is a 3 is (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6), (1, 3), (2, 3), (4, 3), (5, 3) and (6, 3) = 11.

Therefore, <span>the probabiliy that the sum of the numbers falling uppermost is 9, given that at least one of the numbers falling uppermost is a 3 is 2 / 11.</span>

5 0

4 years ago