A pink crayon is made with 12 mL of red wax for every 5 mL of white wax.

1 answer:

5 0

Multiply 12 and 5 (by the same number) and add them to get whatever total ml of crayon wax is specified.
Ex: Total ml divided by 17, then find how many parts are red(12ml) and white(5ml)

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Which expression represents"divide the sum of x and 2 by 4"?

labwork [276]

Answer:

Step-by-step explanation:

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3 0

3 years ago

Simplify 16x² - 9y²/(4x-3y)^2

const2013 [10]

9514 1404 393

Answer:

(4x +3y)/(4x -3y)

Step-by-step explanation:

$\dfrac{16x^2-9y^2}{(4x -3y)^2}=\dfrac{(4x)^2-(3y)^2}{(4x-3y)^2}=\dfrac{(4x-3y)(4x+3y)}{(4x-3y)(4x-3y)}\\\\=\boxed{\dfrac{4x+3y}{4x-3y}}$

4 0

3 years ago

Rewrite the function by completing the square. 4x^2-4x+1=0

andrey2020 [161]

Do in completing the square method.

${4x}^{2} - 4x + 1 = 0 \\ 4x^{2}-4x=-1 \\ \frac{4x^{2}-4x}{4}=\frac{-1}{4} \\ x^{2}+\frac{-4}{4}x=\frac{-1}{4} \\ x^{2}-x=\frac{-1}{4} \\ x^{2}-x+\left(-\frac{1}{2}\right)^{2}=-\frac{1}{4}+\left(-\frac{1}{2}\right)^{2} \\ x^{2}-x+\frac{1}{4}=\frac{-1+1}{4} \\ x^{2}-x+\frac{1}{4}=0 \\ \left(x-\frac{1}{2}\right)^{2}=0 \\ \sqrt{\left(x-\frac{1}{2}\right)^{2}}=\sqrt{0}$

Now simplify.

$x-\frac{1}{2}=0 \\ x-\frac{1}{2}=0 \\ \\ \rightarrow \: x=\frac{1}{2} \\ \rightarrow \: x=\frac{1}{2}$

So, answer is..

$\boxed{x=\frac{1}{2} }$

Now rewrite the equation.

$4 x ^ { 2 } - 4 x + 1 = 0 \\ \boxed{4\times \left(\frac{1}{4}\right)-4\times \left(\frac{1}{2}\right)+1=0 }$

Verification :-

$4 x ^ { 2 } - 4 x + 1 = 0 \\ 4\times \left(\frac{1}{4}\right)-4\times \left(\frac{1}{2}\right)+1=0 \\ 1-4\times \left(\frac{1}{2}\right)+1=0 \\ 1-\frac{4}{2}+1=0 \\ 1-2+1=0 \\ -1+1=0 \\ \underline{ 0 = 0} \: \\ \dashrightarrow \text{true}$