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3 years ago

3x-y=2 y=x-1 when the expression x is substituted into the first equation for y the resulting equation is

Mathematics

2 answers:

bija089 [108]3 years ago

5 0

Answer: y=-1/2

Step-by-step explanation: Solve for the first variable in one of the equations, then substitute the result into the other equation.

Hope this helps you out. ☺

avanturin [10]3 years ago

5 0

Answer:

the answer to your question Y=-1/2

Step-by-step explanation:

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Mulder and Scully are driving to the same town. Mulder leaves the office at 9:30a.m. averaging 57mph. Scully leaves at 10:00a

koban [17]

Answer:

Scully will catch up with Mulder by 7:30 PM.

Step-by-step explanation:

Consider the provided information.

Mulder leaves the office at 9:30a.m. averaging 57mph.

Scully leaves at 10:00a.m., following the same path and averaging 60 mph.

Distance covered by Mulder between 9:30 AM and 10:00 AM:

$\frac{57}{2}= 28.5$ miles

Let t is the time taken by Scully to catch up with Mulder.

After leaving office Scully needs to cover extra distance of 28.5 miles because Mulder leaves the office earlier.

Therefore total distance cover by them is:

$28.5+57t=60t$

$28.5=60t-57t$

$28.5=3t\\t=9.5$

Hence, it would take 9 hours 30 minutes to catch up Mulder.

10 am + 9 hours 30 minutes = 7:30 pm

Therefore, Scully will catch up with Mulder by 7:30 PM.

6 0

3 years ago

Help pls its just math :( Ik it sucks I hate math too, pls help tho

Umnica [9.8K]

Answer:

x = - 1

Step-by-step explanation:

Given

- 4(3x - 7) = 40 ( divide both sides by - 4 )

3x - 7 = - 10 ( add 7 to both sides )

3x = - 3 ( divide both sides by 3 )

x = - 1

6 0

3 years ago

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Suppose small aircraft arrive at a certain airport according to a Poisson process with rate α = 8 per hour, so that the number o

Ksenya-84 [330]

Answer:

Step-by-step explanation:

Step1:

We have Suppose small aircraft arrive at a certain airport according to a Poisson process with rate α =8 per hour, so that the number of arrivals during a time period of t hours is a Poisson rv with parameter μ = 8t

Step2:

Let “X” the number of small aircraft that arrive during time t and it follows poisson distribution parameter “”

The probability mass function of poisson distribution is given by

P(X) = , x = 0,1,2,3,...,n.

Where, μ(mean of the poisson distribution)

a).

Given that time period t = 1hr.

Then,μ = 8t

= 8(1)

= 8

Now,

The probability that exactly 6 small aircraft arrive during a 1-hour period is given by

P(exactly 6 small aircraft arrive during a 1-hour period) = P(X = 6)

Consider,

P(X = 6) =

= 0.1219.

Therefore,The probability that exactly 6 small aircraft arrive during a 1-hour period is 0.1219.

1).P(At least 6) = P(X 6)

Consider,

P(X 6) = 1 - P(X5)

= 1 - {+++++}

= 1 - (){+++++}

= 1 - (0.000335){+++++}

= 1 - (0.000335){1+8+32+85.34+170.67+273.07}

= 1 - (0.000335){570.08}

= 1 - 0.1909

= 0.8090.

Therefore, the probability that at least 6 small aircraft arrive during a 1-hour period is 0.8090.

2).P(At least 10) = P(X 10)

Consider,

P(X 10) = 1 - P(X9)

= 1 - {+++++

5 0

3 years ago

Given the piecewise function. Shown below

creativ13 [48]

Answer:

(x, g(x)) = {(-2, -2), (0, 0), (2, 2), (4, -3), (6, -3)}

Step-by-step explanation:

The first three values of x in the table are all less than or equal to 2, so the first part of the function definition applies. The y-value is equal to the x-value. The ordered pairs are ...

(-2, -2), (0, 0), (2, 2)

The last two values of x in the table are more than 2, so the last part of the function definition applies. For those values of x, the y-value is -3. The ordered pairs are ...

(4, -3), (6, -3)

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3 years ago

Find the Net Pay: 40 hours worked, $7.85 an hour. Deductions: Federal tax $32.24, Social Security $24.02, Other $24.53 Answer $3

Trava [24]

For the answer to the question on what is the net pay if you are 40 hours worked, $7.85 an hour. Deductions: Federal tax $32.24, Social Security $24.02, Other.

The answer to this question is the last one which is $233.21

I hope my answer helped you.

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3 years ago

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