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3 years ago

If –3x = -18, what is the value of x?

Mathematics

2 answers:

yan [13]3 years ago

7 0

-3x=-18

divide both sides by -3

to get +x

to get x by itself

-3x/-3=-18/-3

cross out -3 and -3, divide by -3

then becomes -1*-1*x=1*x=x

x=-18/-3

answer:

x=6

kherson [118]3 years ago

5 0

Answer: x = 6

Step-by-step explanation: To solve for x in this equation, we want to get x by itself on the left side of the equation. Since x is being multiplied by -3, to get x by itself, we need to divide by -3 on the left side of the equation. Since we divided by -3 on the left side, we must also divide by -3 on the right side.

On the left side, notice that the -3's cancel out so we are simply left with x. On the right side, we have -18 ÷ -3 which is 6 so we have x = 6.

Finally, remember to check your answer by substituting a 6 back into the original equation. So we have -3 (6) = -18 which is a true statement.

So our answer x = 6 is correct.

Remember to show all your work when solving equations.

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Check the picture below. Recall, is an open-top box, so, the top is not part of the surface area, of the 300 cm². Also, recall, the base is a square, thus, length = width = x.

$\bf \textit{volume of a rectangular prism}\\\\
V=lwh\quad 
\begin{cases}
l = length\\
w=width\\
h=height\\
-----\\
w=l=x
\end{cases}\implies V=xxh\implies \boxed{V=x^2h}\\\\
-------------------------------\\\\
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\\\\\\
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-------------------------------\\\\
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$\bf V(x)=75x-\cfrac{1}{4}x^3\implies \cfrac{dV}{dx}=75-\cfrac{3}{4}x^2\implies 0=75-\cfrac{3}{4}x^2
\\\\\\
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\\\\\\
x=\pm10\impliedby \textit{is a length unit, so we can dismiss -10}\qquad \boxed{x=10}$

now, let's check if it's a maximum point at 10, by doing a first-derivative test on it. Check the second picture below.

so, the volume will then be at $\bf V(10)=75(10)-\cfrac{1}{4}(10)^3\implies V(10)=500 \ cm^3$

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3 years ago

If –3x = -18, what is the value of x?​

If –3x = -18, what is the value of x?