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Alecsey [184]
3 years ago
11

HELP!! What are the intervals for the increasing and decreasing of this graph??

Mathematics
2 answers:
Lisa [10]3 years ago
8 0

Answer:

Increasing: x < - 4 and x > - 2

decreasing: x ε ( - 4, - 2) OR - 4 < x < - 2

katovenus [111]3 years ago
3 0

See the attached two images to visually see where the function is increasing and decreasing.  (There's one image for each.)

We identify where a function is increasing based on where the y-values increase as the x-values increase.  In other words, as you move left-to-right, the function is increasing if the function is moving upwards.

We identify where a function is decreasing based on where the y-values decrease as the x-values increase.  In other words, as you move left-to-right, the function is decreasing if the function is moving downwards.

In both cases, while you recognize where it's one or the other based on the y-values, you describe it based on where it's happening, based on the x-values.  The y-values tell you what's happening, the x-values tell you where it's happening.

The function is increasing on the intervals (-infinity, -4) and (-2,infinity).  This is the red highlighted portions.

The function is decreasing on the interval (-4,–2).  This the the blue highlighted portions.

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frosja888 [35]

Say that you're thinking of number x

You multiply it by 8, and have 8x

You add -1 (i.e., you subtract 1) and have 8x-1

This equals -17, so you have

8x-1=-17

Add 1 to both sides

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Divide both sides by 8:

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6 0
3 years ago
How do I solve this equation
netineya [11]
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8 0
3 years ago
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xeze [42]

Answer:

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Step-by-step explanation:

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Suppose the round-trip airfare between Philadelphia and Los Angeles a month before the departure date follows the normal probabi
QveST [7]

Answer:

52.74% probability that a randomly selected airfare between these two cities will be between $325 and $425

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\mu = 387.20, \sigma = 68.50

What is the probability that a randomly selected airfare between these two cities will be between $325 and $425?

This is the pvalue of Z when X = 425 subtracted by the pvalue of Z when X = 325. So

X = 425

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

Z = \frac{425 - 387.20}{68.50}

Z = 0.55

Z = 0.55 has a pvalue of 0.7088

X = 325

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

Z = \frac{325 - 387.20}{68.50}

Z = -0.91

Z = -0.91 has a pvalue of 0.1814

0.7088 - 0.1814 = 0.5274

52.74% probability that a randomly selected airfare between these two cities will be between $325 and $425

7 0
2 years ago
In the xy coordinate plane, the slope of a line is 4 and it passes through the point (1, 3). Find the equation of a line that is
igor_vitrenko [27]

Answer: Y=-1 or Y=-1+4

Step-by-step explanation:

<h3>Use the formula y2- y1 over x2-x1 so it should look like this 1-3 over 3-1 which is -2 over 2 then you divide that which is -1 and if you have to find one all you have to do is use one point label which is x and y so I pick (1,3) so you put 3=-1(1) once you have that you multipy so -1 times 1 is -1 so your gonna add 1 to the -1 and the three the -1 cancel out because it is a zero pair 3+1 is 4 so B=4 </h3>
5 0
3 years ago
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