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3 years ago

Find all of the zeros of f(x) = 5x^2 +40x-100

Mathematics

2 answers:

butalik [34]3 years ago

7 0

Answer:

Step-by-step explanation:

Given

5x² + 40x - 100

To find the zeros equate to zero, that is

5x² + 40x - 100 = 0 ( divide all terms by 5 )

x² + 8x - 20 = 0

To factor the quadratic

Consider the factors of the constant term (- 20) which sum to give the coefficient of the x- term (+ 8)

The factors are + 10 and - 2, since

10 × - 2 = - 20 and 10 - 2 = + 8, thus

(x + 10)(x - 2) = 0

Equate each factor to zero and solve for x

x + 10 = 0 ⇒ x = - 10

x - 2 = 0 ⇒ x = 2

Zeros are x = - 10 and x = 2 → B

Umnica [9.8K]3 years ago

4 0

Answer:the answer is B

Step-by-step explanation:

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Consider an espresso stand with a single barista. Customers arrive at the stand at the rate of 28 per hour according to a Poisso

Snowcat [4.5K]

Answer:

The average number of customers in the system is 3.2

Step-by-step explanation:

The average number of customes in the system is given by:

$L = \frac{\lambda^{2}}{\mu(\mu - \lambda)}$

In which

$\lambda$ is the number of arirvals per time period

$\mu$ is the average number of people being served per period.

The number of arrivals is modeled by the Poisson distribution, while the service time is modeled by the exponential distribution.

Customers arrive at the stand at the rate of 28 per hour

This means that $\lambda = 28$

Service times are exponentially distributed with a service rate of 35 customers per hour.

This means that $\mu = 35$ . So

The average number of customers in the system (i.e., waiting and being served) is

$L = \frac{\lambda^{2}}{\mu(\mu - \lambda)}$

$L = \frac{28^{2}}{35(35 - 28)} = 3.2$

The average number of customers in the system is 3.2

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3 years ago

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Elena-2011 [213]

Answer:

2 a^2

Step-by-step explanation:

cube root of 8 = 2 cube root a^6 = a^2

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1 year ago

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Step-by-step explanation:

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Answer:

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