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Kryger [21]
3 years ago
6

What is the domain and range of the step function with the equation below? f(x) = -3[ x ]

Mathematics
2 answers:
Step2247 [10]3 years ago
8 0

Answer:

Option C.

Step-by-step explanation:

The given function is

f(x)=-3\left \lceil x\right \rceil

We need to find the domain and range of the given step function.

\left \lceil x\right \rceil is least integer function. The output of this function is all integers and it is defined for all values of x.

The given function is 3 times of least integer function. So, the given function f(x) is defined for all real number and outputs of the function are all integers that are multiples of 3.

Domain of f(x) = All real numbers = (-∞,∞)

Range of f(x) = All integers that are multiples of 3.

Therefore, the correct option is C.

TEA [102]3 years ago
7 0

Answer:

C

Step-by-step explanation:

The domain is all real numbers, and the range is all integers that are multiples of 3. This is right I took the test.

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The polynomial - 16t+ vt +s, represents the height (in feet) of an object, where v is the
Anna007 [38]

Answer:

At 1.5 seconds and 2.5 seconds

Step-by-step explanation:

Because this is parabolic motion, the object will reach the height of 68 feet when it's going up AND when it's coming down. In order to find out those times, you set the h on the left side of the equation equal to 68, because h stands for height.

Set that equal to 0 and factor to solve for t:

Using the quadratic formula, we get t = 1.5 and t = 2.5

7 0
3 years ago
Tyrell read 72 pages in 2 hours. At this rate, how many hours will it take him to read 285 pages?
juin [17]
It will take Tyrell about 4 hours.
4 0
3 years ago
Please help.........
natita [175]

Answer:

the answer is infinite numbers of solutions

Step-by-step explanation:

First yellow

second purple

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7 0
3 years ago
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
A sailboat's Saul has three sides that are all the same length. Each side measures x - 10 units. The sail's perimeter is 63 unit
ruslelena [56]

Answer:

The value of 'x' is 31 unit

Step-by-step explanation:

Given:

Measure of each side = x-10\ units

Perimeter of sails  = 63 units.

We need to find the value of x.

Solution:

Now we can see that from given data.

A sailboat's Saul has three sides.

Now assuming it to be triangle we get;

"Perimeter of triangle is equal to sum of all side."

So we can say that;

x-10+x-10+x-10 =63\\\\3x-30=63

Now adding both side by 30 we get;

3x-30+30=63+30\\\\3x=93

Now dividing both side by 3 we get;

\frac{3x}{3}=\frac{93}{3}\\\\x=31 \ units

Hence the value of 'x' is 31 units.

6 0
3 years ago
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