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2 years ago

4. Find the solution to the equation below. please finish this problem

Mathematics

1 answer:

velikii [3]2 years ago

4 0

Answer:

w = 12

Step-by-step explanation:

We are given the equation:

$\displaystyle{\dfrac{w-2}{4} = \dfrac{2w+1}{10}}$

First, clear out the denominators by multiplying both sides by LCM. In this scenario, our LCM is 40. Thus, multiply both sides by 40:

$\displaystyle{\dfrac{w-2}{4} \cdot 40= \dfrac{2w+1}{10} \cdot 40}$

Simplify the expressions/equations:

$\displaystyle{(w-2)\cdot 10= (2w+1)\cdot 4}\\\\\displaystyle{10w-20= 8w+4}$

Isolate w-variable:

$\displaystyle{10w-20= 8w+4}\\\\\displaystyle{10w-8w=4+20}\\\\\displaystyle{2w=24}\\\\\displaystyle{w=12}$

Hence, the solution is w = 12

If you have any questions regarding my answer or explanation, do not hesitate to ask away in comment!

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3 years ago

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Solve the linear differential equation 2xy' + y = 2√x

77julia77 [94]

Answer:

Step-by-step explanation:

General form of the linear differential equation can be written as:

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2 years ago

Evaluate inverse functions <br><br> Find the following values f^-1(f(3.14)) <br> F(f(-7))

Margaret [11]

Answer:

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Step-by-step explanation:

If we have

$f {}^{ - 1} (f(x)$

That just equals

$x$

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The inverse of that function is

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If we compose the function, f(x) into f^-1(x).

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That proof of that.

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2. We first find f(-7) which is -12,

We then find f(-12)= 5 so the answer here is 5.

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