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Citrus2011 [14]
3 years ago
7

What is 5ax + c = 8.5?

Mathematics
2 answers:
Ulleksa [173]3 years ago
7 0

Step-by-step explanation:

5ax + c = 8.5

5ax=8.5-c

x= (8.5-c)/5a

lara31 [8.8K]3 years ago
3 0

Answer:

the answer of this question is i dont know

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The answer is (2b+1)(3b-4)
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Solve for all values of x in simplest form. 9-4|3+5x|=5
Zinaida [17]

Answer:

x=-2/5\text{ or } x=-4/5

Step-by-step explanation:

So we have the equation:

9-4|3+5x|=5

First, subtract 9 from both sides:

-4|3+5x|=-4

Divide both sides by -4:

|3+5x|=1

Definition of Absolute Value:

3+5x=1\text{ or } 3+5x=-1

Subtract 3 from both sides:

5x=-2\text{ or } 5x=-4

Divide both sides by 5:

x=-2/5\text{ or } x=-4/5

And we're done!

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Five and twenty nine hundredths
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Solving separable differential equation DY over DX equals xy+3x-y-3/xy-2x+4y-8​
Ivanshal [37]

It looks like the differential equation is

\dfrac{dy}{dx} = \dfrac{xy + 3x - y - 3}{xy - 2x + 4y - 8}

Factorize the right side by grouping.

xy + 3x - y - 3 = x (y + 3) - (y + 3) = (x - 1) (y + 3)

xy - 2x + 4y - 8 = x (y - 2) + 4 (y - 2) = (x + 4) (y - 2)

Now we can separate variables as

\dfrac{dy}{dx} = \dfrac{(x-1)(y+3)}{(x+4)(y-2)} \implies \dfrac{y-2}{y+3} \, dy = \dfrac{x-1}{x+4} \, dx

Integrate both sides.

\displaystyle \int \frac{y-2}{y+3} \, dy = \int \frac{x-1}{x+4} \, dx

\displaystyle \int \left(1 - \frac5{y+3}\right) \, dy = \int \left(1 - \frac5{x + 4}\right) \, dx

\implies \boxed{y - 5 \ln|y + 3| = x - 5 \ln|x + 4| + C}

You could go on to solve for y explicitly as a function of x, but that involves a special function called the "product logarithm" or "Lambert W" function, which is probably beyond your scope.

8 0
2 years ago
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