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sweet [91]
3 years ago
14

A line with slope 3 passes through the point (0, 10). What is the y-coordinate of the point on the line with x-coordinate 2?

Mathematics
1 answer:
Serga [27]3 years ago
6 0
The slope is 3, so if x changes by 2, y changes by 6.
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First change to standard form of first order linear differential equation and then by finding the appropriate integrating factor
Leokris [45]

Answer:

Step-by-step explanation:

Given is a Differential equation as

xy' + y = lnx ; y(e)=1

To bring it to linear form we can divide the full equation by x

y'+\frac{y}{x} =\frac{ln x}{x}

This is of the form

y'+p(x) *y = q(x)

p(x) = 1/x

So find

e^{\int\limits{\frac{1}{x} } \, dx } = e^{ln x} = x

Solution is

xy = \int  {x*lnx /x } \, dx =xln x -x +C

Use the initial value as y(e) =1

e= eln e -e+C\\C=e

So solution is

xy =xln x -x+e

5 0
3 years ago
Roberto will save 1/6 of his allowance each day. If you get two dollars a day about how much money will you save round to the ne
AlladinOne [14]
About $.33 hint: of means multiply
5 0
3 years ago
Mr. Alvarado needs 15 1/8 pounds of chicken feed to fill his feeder. He has one bag of chicken feed that weighs 3 1/2 pounds and
Crazy boy [7]

Answer:

B: 8 7/8 Lbs

Step-by-step explanation:

answer = 15\frac{1}{8} -3\frac{1}{2} -2\frac{3}{4}

step 1 find a common denominator

common denominator - 8

* apply *

\frac{1^*^1}{8^*^8} =\frac{1}{8} \\\\\frac{1^*^4}{2^*^4} =\frac{4}{8} \\\\\frac{3^*^2}{4^*^2} =\frac{6}{8}

now we have

15\frac{1}{8} -3\frac{4}{8} -2\frac{6}{8}

step 2 make each fraction a improper fraction

We can do this my multiplying the big number by the denominator and adding that to the numerator.

15*8=120\\120+1=121\\\frac{121}{8} \\\\3*8=24\\24+4=28\\\frac{28}{8} \\\\2*8=16\\16+6=22\\\frac{22}{8}

now we have

\frac{121}{8} -\frac{28}{8} -\frac{22}{8}

Now we can subtract

remember when subtracting fractions you only subtract the numerators. ( so we keep the denominator as 8 )

so 121 - 28 - 22 = 71

so the answer is \frac{71}{8}

finally we want to change the answer back into a mixed fraction

To do this we divided 71 and 8

8 can go into 71 8 times

8 * 8 = 64

71 - 64 = 7

We're left with 8\frac{7}{8}

5 0
3 years ago
Okay so this is a weird one... if I take a medication twice a day for 9 months how many days have I taken that medication??? I h
Delvig [45]

Answer: 273 days i believe

Step-by-step explanation:

jan: 31 days

feb: 28 Days

mar: 31

apr: 30

may: 31

june: 30

july: 31

aug: 31

sept: 30

add all the days together to get 273

7 0
3 years ago
I don’t know what the answer to this question is , help
ipn [44]

Answer:

(4, 0)

Step-by-step explanation:

given the 2 equations

y = x - 4 → (1)

- 4x - 6y = - 16 → (2)

substitute y = x - 4 into (2)

- 4x - 6(x - 4) = - 16

- 4x - 6x + 24 = - 16

- 10x + 24 = - 16 ( subtract 24 from both sides )

- 10x = - 40 ( divide both sides by - 10 )

x = 4

substitute x = 4 into (1) for corresponding value of y

y = 4 - 4 = 0

solution is (4, 0)

3 0
3 years ago
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