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Nonamiya [84]
4 years ago
9

For which interval is the function constant?

Mathematics
1 answer:
andreev551 [17]4 years ago
4 0

Answer:

Option D (2, 6)

Step-by-step explanation:

As shown in the graph function has four intervals on which graph is plotted.

1). From the graph we can see in the interval -10 ≤ x ≤ 0 graph is increasing.

2). From 0 ≤ x ≤ 2 function is decreasing.

3). Between 2 ≤ x ≤ 6 function is constant.

4). And for x ≥ 6 function is increasing.

Therefore interval in which the function is constant is (2, 6).

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Write this numeral in scientific notation.<br> 2,000,004
Katyanochek1 [597]
The numerical notation of 22000004 would be

2*10^6
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3 &lt; y ⩽ 7 where y is an integer Write down all the possible values of y
Ann [662]

add 4 i guess. i dont really know

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3 years ago
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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
3 years ago
The gradient of the line segment between the points (2,-3) and (4,-7).
skad [1K]

To find the gradient of a line you use this equation: Rise / Run

I am assuming this is a graph where both the x and y-axis increase in value by one.

So first of all, you should draw out this graph.

Second, draw a point at each of the given coordinates.

Now, join these points by drawing a right angle triangle. Put simply, draw a line from the point (4, -7) down until it is on the same level as the point (2, -3), then draw a line across.

Finally, measure the length of both these sides and use them in the equation above.

Let's assume the rise (vertical line) and the run (horizontal line) are 5 and 8 respectively. We can do 5/8 to get a gradient which is 0.625.

3 0
2 years ago
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Find the value of x. A. 53–√ in B. 241−−√ in C. 55–√ in D. 9
castortr0y [4]

Answer:

<h2>x = 5√3 inches</h2>

Step-by-step explanation:

Since the triangle is a right angled triangle we can use Pythagoras theorem to find the missing side x

Using Pythagoras theorem we have

{a}^{2}  =  {b}^{2}  +  {c}^{2}

where a is the hypotenuse

Substitute the values into the above formula

The hypotenuse is 10 inches

We have

{10}^{2}   =  {5}^{2}  +  {x}^{2}

{x}^{2}  =  {10}^{2}  -  {5}^{2}

{x}^{2}  = 100 - 25

{x}^{2}  = 75

We have the final answer as

<h3>x = 5√3 inches</h3>

Hope this helps you

3 0
3 years ago
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