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Lostsunrise [7]
2 years ago
9

Solve for x

alt="\bold{4x - 64 = 0}" align="absmiddle" class="latex-formula">

ty! ~​
Mathematics
2 answers:
eimsori [14]2 years ago
5 0

\Large\maltese\star\underline{\textbf{What is Asked}}\star\maltese

  • Solve for x.
  • \bf{4x-64=0}.

\Large\maltese\star\underline{\textbf{The required answer is below -:}}\star\maltese

First we need to add 64 to both sides. That way, we will be one step closer to solving this in terms of x.

\bf{4x-64+64=0+64} | on the left side the 64's sum to zero

\bf{4x=0+64} | the right side is now 64

\bf{4x=64} | divide the equation by 4

\bf{x=16}

\cline{1-2}

\gray\star\bf{Result / Required\;Answer:}

                  \star\blacksquare\Large\boxed{\boxed{\bf{X=16.}}}\blacksquare\star

<h2>Key to solving this problem -:</h2>

When you're solving an equation in terms of x, or any other variable, use inverse operations to solve it. For instance, if something is added to x, use subtraction. If something is subtracted to x, use addition.

If x is multiplied by something, use division. If x is divided by something, use multiplication.

\infty\LARGE\boxed{\bf{\brace aesthetic\not1\theta\ell}}\infty

ivolga24 [154]2 years ago
3 0

Answer:

\tt x = 16

Step-by-step explanation:

\tt 4x-64=0

Add 64 to both sides.

\tt 4x - 64 + 64 =  0+ 64

Simplify.

\tt 4x = 64

Divide both sides by 4.

\tt \cfrac{4x}{4} =  \cfrac{64}{4}

Simplify.

\tt x = 16

Done!!!

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Verify if f(x)= 5-3x/2 and g(x)= 5-2x/3 are inverses. Please show step by step.
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Since f(g(x)) = g(f(x)) = x, hence the function f(x) and g(x) are inverses of each other.

<h3>Inverse of functions</h3>

In order to determine if the function f(x) and g(x) are inverses of each other, the composite function f(g(x)) = g(f(x))

Given the function

f(x)= 5-3x/2 and

g(x)= 5-2x/3

f(g(x)) = f(5-2x/3)

Substitute

f(g(x)) = 5-3(5-2x)/3)/2

f(g(x)) = (5-5+2x)/2

f(g(x)) = 2x/2

f(g(x)) = x

Similarly

g(f(x)) = 5-2(5-3x/2)/3

g(f(x)) = 5-5+3x/3

g(f(x)) = 3x/3

g(f(x)) =x

Since f(g(x)) = g(f(x)) = x, hence the function f(x) and g(x) are inverses of each other.

Learn more on inverse of a function here: brainly.com/question/19859934

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