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Dmitriy789 [7]
3 years ago
5

Is it possible to solve the differential equation

Mathematics
1 answer:
deff fn [24]3 years ago
6 0

Answer:

No, and solutions is is not valid.

Step-by-step explanation:

Solving y'(x)= y(x)a|x| by parts yields y(x)=e^{\frac{a}{2}x^{2}  } is the solutions, for y(0)=0 (initial value), it yields e^{0}=0 which is not valid. Note a is assumed to be constant.

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Consider the sequence of steps to solve the equation: 3(x − 4) + 5x = 9x − 36 Given ⇒ 3(x − 4) + 5x = 9x − 36 Step 1 ⇒ 3x − 12 +
7nadin3 [17]

In Step 6, the equation is ...

  -12 = x - 36

In step 7, the equation is ...

  -12 +36 = x -36 +36

Clearly, to get to step 7, 36 has been added to both sides of the equation.

Adding 36 to both sides of the equation is justified by ...

... C) Addition Property of Equality

_____

<em>More about the addition property of equality</em>

The addition property of equality says you can add the same value to both sides of an equation without changing the values of the variables that make the equation true. Here, x=24 makes the equation of step 6 true, and x=24 makes the equation of step 7 true.

7 0
3 years ago
Give an equation for a horizontal line and a vertical line. what are the slopes of each line
just olya [345]
A horizontal line has a slope of 0. Remember the z in horizontal means zero. The slope of a vertical line is undefined.
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3 0
3 years ago
Icated (Q#1-4).<br> 2. Solve by substitution; x+3y + 4)<br> 3x - 5y = 8<br> 3 (3x+4)<br> aytla
puteri [66]

Answer:

See explanation

Step-by-step explanation:

Assuming your system is:

x + 3y = 4

3x - 5y = 8

Then make x the subject in the first equation to get:

x = 4 - 3y

Put this equation into the second equation to get:

3(4 - 3y) - 5y = 8

12 - 9y - 5y = 8

- 9y - 5y = 8 - 12

-14y =  - 4

y =   \frac{ - 4}{ - 14}  =  \frac{2}{7}

This means that:

x = 4 - 3 \times  \frac{2}{7}

x = 4 -  \frac{6}{7}  =  \frac{22}{7}

4 0
3 years ago
A researcher was interested in comparing the salaries of female and male employees of a particular company. independent random s
Aneli [31]

Answer:

Based on  given data, we can say with 95% confidence that the female employees at this company average between $110 less and $10 less per week than the male employees.

Step-by-step explanation:

Sample 1 for female

Sample 2 for male

Confidence = 90%

Difference in mean weekly salary of all female employees and the mean weekly salary of all male employees  = µ₁- µ₂

So based on above given data, we can say with 95% confidence that the female employees at this company average between $110 less and $10 less per week than the male employees.

5 0
3 years ago
a line intersects the point (12,3) and has a slope of 4. what are the inputs to the point slope formula
astraxan [27]

Hey There,

The equation would be y = 4x - 45

Point slope formula

(y-y1)=m(x-x1)

Plug in the numbers

(y-3)=4(x-12)

Solve for y.

4 * x = 4x

4 * -12 = -48

Bring 3 to the other side (change the sign)

-48 +3 = 45

Therefore, the equation would be y = 4x - 45

4 0
3 years ago
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