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nevsk [136]
3 years ago
8

Writing explain how you know when a linear system in three variables has infinitely many solutions.

Mathematics
1 answer:
Lilit [14]3 years ago
5 0
Pick any two pairs of equations<span> from the system. Eliminate the same </span>variable<span> from each pair using the Addition/Subtraction method. Solve the system of the two new </span>equations<span> using the Addition/Subtraction method.</span>
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Problem 5. Buses arrive at 116th and Broadway at the times of a Poisson arrival process with intensity λ arrivals per hour. Thes
Shtirlitz [24]

Answer:

Step-by-step explanation:

The problem states that there are only two types of busses - M104 and M6 with probable occurence of 0.6 and 0.4 respectively.

If the average number of busses arriving per hour is λ, the average number of M6 busses per hour is  0.4λ

Now consider a set of 3 M6 busses as an event. The average number of such events per hour will be

μ = 0.4λ / 3

The expected number of hours for the event "THIRD M6 arrives", let's say X is

E[X] = 1 / μ ( exponential distribution) = 3 / 0.4λ

= 7.5 / λ

The variance of event X is =

Var[x] = \frac{1}{U^2} = \frac{56.25}{\lambda ^2}

6 0
3 years ago
(-2x-8) (-3x² + 4x+5)
marissa [1.9K]

Answer:6x^3+16x^2-42x-40

Step-by-step explanation:

To expand

(-2x-8)(-3x^2+4x+5)

6x^3-8x^2-10x+24x^2-32x-40

Collect like terms

6x^3-8x^2+24x^2-10x-32x-40

6x^3+16x^2-42x-40

3 0
3 years ago
Consider the system of equations
Free_Kalibri [48]

Answer:

(-3,-8)

Step-by-step explanation:

okay so what we can do here is elimination

we can do this first by multiplying the entire second equation by 2

so then it would become

2(5x-2y=1)

10x-4y=2

now we can add the two equations together which will eliminate y

so

-8x+4y=-8 plus

10x-4y=2 equals

2x=-6

we did that by combining like terms

next we can simplify that

x=-3

now we can plug that into the equation

-8(-3)+4y=-8

simplify

24+4y=-8

4y=-32

y=-8

our answer would be

(-3,-8)

7 0
3 years ago
Read 2 more answers
What is the equation of a line that contains the points (5,0) and (5,-2)?
yarga [219]

Answer:

x = 0

Step-by-step explanation:

If you do the equation y2 - y1 over x2 - x1 you get 0 and the x intercept is 5 y=0×5 = 0

8 0
3 years ago
1) The local fire company is having a raffle to raise money for Fourth of July fireworks. They
alexdok [17]

Answer:

negative - $9.50

Step-by-step explanation:

3 0
3 years ago
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