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3 years ago

3x20=3x(10+_) what is the answer?

Mathematics

2 answers:

mario62 [17]3 years ago

7 0

10 is the answer because 3×20=3×(10+10). 10+10 equals 20, so the answer matches 3×20.

Assoli18 [71]3 years ago

3 0

The obvious answer to this would be 10.

The most simple way to do it would be taking out 3 x from each side of the equation and do 20 = 10 + _

Another way would be to actually solve it.

Let us put into the situation that the unknown variable would be y. The equation then would look like this.

3 x 20 = 3 x (10 + y)

Then solve

3 x 20 = 3 x (10 + y)
-------- ---------------
3 3
20 = 10 + y
20 - 10 = y
10 = y

10 would be the answer

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$\bf ~~~~~~~~~~~~\textit{function transformations}
\\\\\\
% templates
f(x)= A( Bx+ C)+ D
\\\\
~~~~y= A( Bx+ C)+ D
\\\\
f(x)= A\sqrt{ Bx+ C}+ D
\\\\
f(x)= A(\mathbb{R})^{ Bx+ C}+ D
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f(x)= A sin\left( B x+ C \right)+ D
\\\\
--------------------$

$\bf \bullet \textit{ stretches or shrinks horizontally by } A\cdot B\\\\
\bullet \textit{ flips it upside-down if } A\textit{ is negative}\\
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\\\\
\bullet \textit{ flips it sideways if } B\textit{ is negative}\\
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$\bf \bullet \textit{ horizontal shift by }\frac{ C}{ B}\\
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~~~~~~if\ \frac{ C}{ B}\textit{ is positive, to the left}\\\\
\bullet \textit{ vertical shift by } D\\
~~~~~~if\ D\textit{ is negative, downwards}\\\\
~~~~~~if\ D\textit{ is positive, upwards}\\\\
\bullet \textit{ period of }\frac{2\pi }{ B}$

with that template in mind, let's check,

down 4 units, D = -4

flipped over the y-axis, B = -1

$\bf y=x^2\implies y=\stackrel{A}{1}(\stackrel{B}{1}x\stackrel{C}{+0})^2\stackrel{D}{+0}\qquad \qquad \stackrel{shifted}{y=\stackrel{A}{1}(\stackrel{B}{-1}x\stackrel{C}{+0})^2\stackrel{D}{-4}}
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