Find the dimensions of a box that will hold half as many cubes as a box that is 4 by 5 by 6.

Mathematics

2 answers:

amid [387]3 years ago

8 0

I don’t know sorry
But I really need to answer this because I need to get access to the adds

Y_Kistochka [10]3 years ago

6 0

A 2 * 6 * 4 box will hold 48 cubes.

2 * 48 = 96

What three numbers multiplied together equal 96?

We'll be glad to check your answer.

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10. Rewrite into slope-intercept form 7x + y = 25

ch4aika [34]

To write in slope-intercept form, you first need to get y by itself. To do this, subtract 7x from both sides of the equation.

Doing this gets you: y = 25 - 7x

Now that y is by itself, remember that slope-intercept form looks like this: y = mx + b

So, let's switch the right side.

y = -7x + 25

Slope intercept form is: y = -7x + 25

Rules for y in Slope-Intercept form:

y must be positive

y must be by itself (so, not 2y, or anything with it... just y)

8 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 :-

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