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goldenfox [79]
2 years ago
5

Determine a limit for a piecewise function

Mathematics
1 answer:
laila [671]2 years ago
8 0

The limit for the given piecewise function does not exist(DNE).

4th option is correct.

<h3 /><h3>What is the limit of a function?</h3>

In mathematics, limits are the points at which a function approaches the output for the specified input values. Calculus and mathematical analysis depend heavily on limits, which are required to determine integrals, derivatives, and continuity. It is applied during the analysis process and always focuses on the function's behavior at a certain time.

Unique real numbers are limits in mathematics.

According to the question,

Left hand limit of the function= -5(3)+4 = -15+4 = -11

Right hand limit of the function= (3)(3)+2 = 11

As the left and right-hand limits are not equal. Thus, the limit of the function does not exist.

Learn more about limits here:

brainly.com/question/23935467

#SPJ1

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A drive-in theater has 20 rows of parking spaces with 15 spaces in each row. About how many parking spaces are there altogether?
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300 parking spaces

Multiply the rows by the spaces in each row. 20 x 15 = 300

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Find the number of possible positive real zeros of f(x)= -7x^4+ 49x^3+ 84x^2.
Solnce55 [7]
B.Two is your answer
5 0
4 years ago
Marking brainliest:)))))) !!!!!!
Arte-miy333 [17]

Answer:

x>2

Step-by-step explanation:

just divide 8 by both sides and you get x>2

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3 years ago
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Two types of tickets were sold for an upcoming concert: adult tickets and child tickets. In total, there
Alona [7]

Answer:

Adult ticket is $60

Child ticket is $32

Step-by-step explanation:

Let x = price of adult ticket

     y = price of child ticket

(1)    175x + 103y = 13796               (2)    2x + 2y = 184

                                                                 x + y = 92

                                                                       y = 92 - x

      175x + 103(92 - x) = 13796

      175x + 9476 - 103x = 13796

       72x = 4320

           x = 60                                                  y = 92 - 60

                                                                        y = 32

4 0
3 years ago
A random sample of n = 9 structural elements is tested for comprehensive strength. We know the true mean comprehensive strength
irinina [24]

Answer:

Probability that the sample mean comprehensive strength exceeds 4985 psi is 0.99999.

Step-by-step explanation:

We are given that a random sample of n = 9 structural elements is tested for comprehensive strength. We know the true mean comprehensive strength μ = 5500 psi and the standard deviation is σ = 100 psi.

<u><em>Let </em></u>\bar X<u><em> = sample mean comprehensive strength</em></u>

The z-score probability distribution for sample mean is given by;

                          Z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n} } } ~ N(0,1)

where, \mu = population mean comprehensive strength = 5500 psi

            \sigma = standard deviation = 100 psi

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) 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.

Now, Probability that the sample mean comprehensive strength exceeds 4985 psi is given by = P(\bar X > 4985 psi)

    P(\bar X > 4985 psi) = P( \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n} } } > \frac{4985-5500}{\frac{100}{\sqrt{9} } } ) = P(Z > -15.45) = P(Z < 15.45)

                                                                  = <u>0.99999</u>

<em>Since in the z table the highest critical value of x for which a probability area is given is x = 4.40 which is 0.99999, so we assume that our required probability will be equal to 0.99999.</em>

4 0
4 years ago
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