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3 years ago

Find the vertical asymptotes, if any, of the graph of the rational function.

Mathematics

1 answer:

miv72 [106K]3 years ago

3 0

Answer:

There is a vertical asymptote for the rational function at x = −4. Set the denominator equal to 0 and solve for x.

2x + 8 = 0 → x = −4

Step-by-step explanation:

You might be interested in

What is the slope and y-intercept of line q graphed below?

beks73 [17]

The correct answer is C) 1/3 and (0, 1)

The y-intercept part is somewhat simple. In order for it to be a y-intercept, the x value of the ordered pair must be 0. That is only true in B and C, therefore they are the only possible answers.

To find the slope, we must choose two points on the line and use the slope formula. We can start by using the y-intercept (0, 1) and also (3, 2). Now we use the slope formula.

m = (y2 - y1)/(x2 - x1)

In this equation m is equal to slope, the first point is (x1, y1) and the second point is (x2, y2)

m = (y2 - y1)/(x2 - x1)

m = (2 - 1)/(3 - 0)

m = 1/3

Now knowing the slope, you can match this with answer C.

3 0

3 years ago

Please Help me>^<

schepotkina [342]

each term is negative and 1/4 of previous term so the nth term is the n-1 term times -1/4 so f(n)= -1/4 f(n-1)

4 0

3 years ago

Question 6 The mineral content of a particular brand of supplement pills is normally distributed with mean 490 mg and variance o

AysviL [449]

Answer:

0.3085 = 30.85% probability that a randomly selected pill contains at least 500 mg of minerals

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean 490 mg and variance of 400.

This means that $\mu = 490, \sigma = \sqrt{400} = 20$

What is the probability that a randomly selected pill contains at least 500 mg of minerals?

This is 1 subtracted by the p-value of Z when X = 500. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{500 - 490}{20}$

$Z = 0.5$

$Z = 0.5$ has a p-value of 0.6915.

1 - 0.6915 = 0.3085

0.3085 = 30.85% probability that a randomly selected pill contains at least 500 mg of minerals

4 0

3 years ago

Find the distance between the points (-3,-2) and (1,-5)

Vsevolod [243]

The slope or distance is 4/-3

7 0

3 years ago

CALCULAR O PERÍMETRO DE UM RETANGULO, SABENDO-SE QUE SUA BASE E ALTURA DIFEREM 12 M E QUE ESTA É 1/3 DAQUELA

Ostrovityanka [42]

perimeter =48

18+18+6+6=48

x-12=x/3

Multiply both sides by 3

3x-36=x

3x=x+36

2x=36

x=18

18-12=18/3

6=6

One side 18 another side 6

7 0

3 years ago