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3 years ago

Write an absolute value equation that has the solutions x=-10 and x=-5

Mathematics

1 answer:

slamgirl [31]3 years ago

6 0

The absolute value of numbers is the distance from zero....
-10 Absolute value= 10
-5 Absolute value= 5

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Find a closed-form solution to the integral equation y(x) = 3 + Z x e dt ty(t) , x > 0. In other words, express y(x) as a fun

MrMuchimi

Answer:

$y{x} = \sqrt{7+2Inx}$

Step-by-step explanation:

$y(x)= 3 + \int\limits^x_e {dx}/ \, ty(t) , x>0}$

Let say; By y(x)= y(e)

we have;

$y(e)= 3 + \int\limits^e_e {dt}/ \, ty= 3+0$

Using Fundamental Theorem of Calculus and differentiating by Lebiniz Rule:

$y^{1} (x) = 0 + 1/ xy$

$y^{1} = 1/xy$

dy/dx = 1/xy

$\int\limits {y} \, dxy = \int\limits \, dx/x$

$y^{2}/2 Inx + C$

RECALL: y(e) = 3

$(3)^{2} / 2 = In (e) + C$

$\frac{9}{2} =In(e)+C$

$\frac{9}{2} - 1 = C$

$\frac{7}{2} = C$

$y^{2} / 2 = In x +C$

$y^{2} / 2 = In x +7/2$

MULTIPLYING BOTH SIDE BY 2 , TO ELIMINATE THE DENOMINATOR, WE HAVE;

$y^{2} = {7+2Inx}$

$y{x} = \sqrt{7+2Inx}$

8 0

3 years ago

Graph the equation<br> y = 5x<br> Use the graphing tool to graph the line.

taurus [48]

9514 1404 393

Answer:

see attached

Step-by-step explanation:

You want a line that goes through (0, 0) and has a slope of 5. That means it will also go through (1, 5) and (2, 10), for example. I like the attached graphing tool because it will draw the graph directly from the equation.

8 0

3 years ago

Please help please please

monitta

Answer:

x=10

y=-2

(10,-2)

Step-by-step explanation:

If X=10, we can put 10 in for x in the equation.

30 + 5y = 20

Next, we need to solve to find y.

We will get y on its own so we subtract 30 from 20 to get

5y=-10

We then know that 5 goes into -10 -2 times.

y=-2

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3 years ago

Simplify the expression.<br> 0.24 – 1.6

lukranit [14]

Answer:

Step-by-step explanation:

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3 years ago

Read 2 more answers

Help<br> What is the slope of the line on the graph?

Galina-37 [17]

Slope = (Y2-Y1) / (X2-X1)
hope that's helpful

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2 years ago