All categories

3 years ago

Given a system of linear equations: dy/dx = 4x-y dy/dx = x-2y Find the general solution.

Mathematics

1 answer:

mina [271]3 years ago

3 0

Answer:

x=-y/3

y=-3x

Step-by-step explanation:

dy/dx=4x-y means 4x-y=0

dy/dx=x-2y also means x-2y=0 then

4x-y=x-2y

3x=-y

y=-3x

x=-y/3

You might be interested in

Which of the following describes an angle with a vertex at Z?

Tresset [83]

B is the answer and why is bc I took the quiz

5 0

2 years ago

4(4x+1) = 3x-4(6-x) + 4

brilliants [131]

the answer is -2.2.

hope it helped

8 0

3 years ago

Read 2 more answers

Graph y = -3.2 + 9. Then identify the x-intercept.

Nataly [62]

Answer:

Step-by-step explanation:

if you mean -3.2x+9 then the answer is 9 because you plug in 0 into x and solve the equation, you get the x intercept

7 0

3 years ago

According to the latest survey the mean world lifespan is 68.8 years the university of Oregon wants to see if the average life s

pishuonlain [190]

Answer:

Step-by-step explanation:

We would set up the hypothesis test.

For the null hypothesis,

µ = 68.8

For the alternative hypothesis,

µ ≠ 68.8

This is a two tailed test.

Since the number of samples is small and no population standard deviation is given, the distribution is a student's t.

Since n = 26,

Degrees of freedom, df = n - 1 = 26 - 1 = 25

t = (x - µ)/(s/√n)

Where

x = sample mean = 72.8

µ = population mean = 68.8

s = samples standard deviation = 2.5

t = (72.8 - 68.8)/(2.5/√26) = 8.16

We would determine the p value using the t test calculator. It becomes

p < 0.00001

Assuming a significance level of 0.05, then

Since alpha, 0.05 > than the p value, then we would reject the null hypothesis. Therefore, At a 5% level of significance, the sample data showed significant evidence that the average life span of the residence of Oregon differs from the world average.

4 0

3 years ago

Anne-marienhas saved 9 dollars for a new coat that is 1/6 as much money as she needs how much does the coat cost

Tatiana [17]

Answer:

Cost of the coat = $54

Step-by-step explanation:

Given:

She saved = $ 9

To Find:

Cost of the coat = ?

Solution:

Let the price of coat be x

She saved $9

and according to given condition it is 1/6 of the total money she needs for buying coat

by this we have

$\frac{1}{6}*x = 9$

Multiplying both sides by 6

$\frac{1}{6}*x*6 = 9*6$

it becomes

x = 9*6

x = $54

As x is the amount she needs

Cost of the coat = $54

7 0

3 years ago