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3 years ago

Prove the equation 2x^2 + y^2 = 14 has no positive integer solutions.

1 answer:

5 0

Solving for y, y=±14−2x2−−−−−−−√ for y to be a positive integer, (14-2x^2) must be a perfect square. Any positive integer values chosen for x will not yield a perfect square

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Waiting Line Models:Movies tonight is a typical video and dvd movie rental outlet for home-viewing customers. During the weeknig

pentagon [3]

Answer:

Probability [No customers in system] = 0.375
Customers waiting for service = 25/24
Average time customer wait = 1.25/1.5
May be wait
Per customer average time = 1.33 (Approx)

Step-by-step explanation:

Given:

Arrival rate λ = 1.25 min

Mean μ = 2

Computation:

(a) Probability [No customers in system]

Probability [No customers in system] = 1-[λ/μ]

Probability [No customers in system] = 1-[1.25/2]

Probability [No customers in system] = 0.375

(b) Customers waiting for service

Customers waiting for service = λ²/ [μ(μ-λ)]

Customers waiting for service = 1.25²/ [2(2-1.25)]

Customers waiting for service = 25/24

(c) Average time customer wait

Average time customer wait = λ / [μ(μ-λ)]

Average time customer wait = 1.25/ [2(2-1.25)]

Average time customer wait = 1.25/1.5

(d) May be wait because Customers waiting for service = 25/24

(e) Per customer average time

Per customer average time = 1/(μ-λ)

Per customer average time = 1/(2-1.25)

Per customer average time = 1.33 (Approx)

7 0

2 years ago

(1) The ratios 18:3 and 6:1 are equivalent. Why?

aliya0001 [1]

Answer:

Because if you take 18:3 and divide both sides by 3, you will get 6:1

Step-by-step explanation:

Because 18:3 divided by 3 on both sides equals 6:1, also 6:1 times 3 on both sides equals 18:3.

6 0

3 years ago

Using the graph, determine the coordinates of the roots of the parabola.

Ymorist [56]

Answer:

2 points, (4, 0) and (-2, 0) ((following the (x,y) format)).

Step-by-step explanation:

The roots are also calles x-intercepts, zeroes, and other less common terms.

8 0

3 years ago

Given parallelogram SNOW, diagonals SO and NW intersect at D.

Reil [10]

Answer:

The length of SO is 46 units

Step-by-step explanation:

In a parallelogram, diagonals bisect each other, which means meet each other in their mid-point

∵ SNOW is a parallelogram

∵ SO and NW are diagonals

∵ SO ∩ NW at point D

→ That means D is the mid-point of SO and NW

∴ D is the mid-point of SO and NW

∵ D is the mid-point of SO

→ That means D divide SO into two equal parts SD and DO

∴ SD = DO

∵ SD = 9x + 5

∵ DO = 13x - 3

→ Equate them

∴ 13x - 3 = 9x + 5

→ Subtract 9x from both sides

∵ 13x - 9x - 3 = 9x - 9x + 5

∴ 4x - 3 = 5

→ Add 3 to both sides

∵ 4x - 3 + 3 = 5 + 3

∴ 4x = 8

→ Divide both sides by 4

∴ x = 2

→ To find the length of SO substitute the value os x in SD and DO

∵ SO = SD + DO

∵ SD = 9(2) + 5 = 18 + 5 = 23

∵ DO = 13(2) - 3 = 26 - 3 = 23

∴ SO = 23 + 23 = 46

∴ The length of SO is 46 units

4 0

2 years ago

A shipping company charges $6 to skip a package that weighs up to 1 pound and $2 for each additional pound or portion of a pound

navik [9.2K]

Step-by-step explanation:

A shipping company charges $6 to ship a package that weighs up to 1 pound and $2 for each additional pound or portion of a pound.

lets make an assumption that the total weight of the shipment is x pound and cost for shipping is y.

the shipping company charges $6 for the first pound.

Up to now the charge is y=6

After 1 pound, i.e for the remaining (x-1) pounds, they charge $2 per pound.

So, the total charge will be, y=6+2(x-1)

weight is always starting from zero as there is no negative weight.so X>0

so the equation is 6(2x-1), where X is more than 0

8 0

3 years ago

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