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yuradex [85]
2 years ago
11

Choose the appropriate table for the differential equation dy/dx=x+1/x

Mathematics
1 answer:
kenny6666 [7]2 years ago
7 0

Answer: 1.

x |0|0.5|2

dy/dx |2|5 |undefined

2.

x |0 |0.5| 2

dy/dx |undefined|5 | 2

3.

x | 0 |0.5|2

dy/dx|undefined |4 |2

Step-by-step explanation:

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September 6 is a Read Book Day.Polina read 5 times as many pages as Marcus read.Together,the read 108 pages.How many pages did e
Gemiola [76]

Answer:

The number of pages that Polina read was 90 and the number of pages that Marcus read was 18

Step-by-step explanation:

Let

x -----> number of pages that Polina read

y ----> number of pages that Marcus read

we know that

x+y=108 ----> equation A

x=5y -----> equation B

substitute equation B in equation A and solve for y

5y+y=108\\6y=108\\y=18

Find the value of x

x=5y -----> x=5(18)=90

therefore

The number of pages that Polina read was 90 and the number of pages that Marcus read was 18

3 0
2 years ago
Find the equation of the line that is parallel to the given line and passes through the given point
Sati [7]

Answer:

\huge\boxed{y=-\dfrac{1}{4}x-1\to x+4y=-4}

Step-by-step explanation:

\text{Let}\ k:y=m_1x+b_1;\ l:y=m_2x+b_2\\\\l\ ||\ k\iff m_1=m_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\==========================\\\\\text{We have}\ x+4y=-6.\\\text{Convert to the slope-intercept form:}\\\\x+4y=-6\qquad\text{subtract}\ x\ \text{from both sides}\\\\4y=-x-6\qquad\text{divide both sides by 4}\\\\y=\dfrac{-x}{4}-\dfrac{6}{4}\\\\y=-\dfrac{1}{4}x-\dfrac{3}{2}\to m_1=-\dfrac{1}{4}

\text{Lines are to be parallel. Therefore}\ m_2=-\dfrac{1}{4}.\\\\\text{We initially have the form equation}\ y=-\dfrac{1}{4}x+b.\\\\\text{The line passes through the point}\ (9,\ -3).\\\\\text{Substitute the coordinates of the point to the equation of a line:}\\\\x=9,\ y=-3\\\\-3=-\dfrac{1}{4}(9)+b\\\\-3=-\dfrac{9}{4}+b\qquad\text{add}\ \dfrac{9}{4}\ \text{to both sides}\\\\-\dfrac{12}{4}+\dfrac{9}{4}=b\to b=-\dfrac{3}{4}

\text{Lines are to be parallel. Therefore}\ m_2=-\dfrac{1}{4}.\\\\\text{We initially have the form equation}\ y=-\dfrac{1}{4}x+b.\\\\\text{The line passes through the point}\ (8,\ -3).\\\\\text{Substitute the coordinates of the point to the equation of a line:}

x=8,\ y=-3\\\\-3=-\dfrac{1}{4}(8)+b\\\\-3=-2+b\qquad\text{add 2 to both sides}\\\\-1=b\to b=-1

\text{Therefore the equation is:}\ y=-\dfrac{1}{4}x-1.\\\\\text{Convert to the standard form}\ Ax+By=C:\\\\y=-\dfrac{1}{4}x-1\qquad\text{multiply both sides by 4}\\\\4y=-x-4\qquad\text{add}\ x\ \text{to both sides}\\\\x+4y=-4

5 0
3 years ago
Andrew is cutting a piece of fencing for his yard. How many pieces of fence that are 5 1/3 inches long can he cut from a section
IrinaVladis [17]

Answer:

2 37/40

Step-by-step explanation:

7 0
2 years ago
What is<br> 5 1/6 - 5 1/2
Ymorist [56]

Answer:

1/3

Step-by-step explanation:

51/6 = 51/6

51/2= 5 3/6

= 2/6

6 0
3 years ago
Read 2 more answers
HELPPPP
AVprozaik [17]

Answer:

The smaller number is: 8

The bigger number is: 20

Step-by-step explanation:

Ok let's say the two numbers are x and y.

x is the smaller one, and y is the bigger one.

This is the equation to find x:

x + 4y = 88

x + y = 28

x - x + 4y - y = 88 - 28

3y = 60

y = 20

x + 20 = 28

x = 8

4 0
3 years ago
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