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Mathematics

2 answers:

Nadya [2.5K]2 years ago

8 0

Step-by-step explanation:

So if you want to make a table to find the solution, you'll need 3 columns, one will be the value of x, the other two will be the value of the equation (left and right) and then you'll need to look where the two equations are equal, and the solution is whatever the x-value is. It'll look something like this:

$x\ \ \ \ |\ 2x+2\ |8x\\-3\ \| -4\ \ \ \ \ | -24\\-2\ \| -2\ \ \ \ \ |-16\\-1\ \| 0\ \ \ \ \ \ \ \ \ | -8\\0\ \ \ \ \|2\ \ \ \ \ \ \ \ \ | 0 \\1\ \ \ \ \| 4\ \ \ \ \ \ \ \ \ | 8\\2\ \ \ \ \|6\ \ \ \ \ \ \ \ \ | 16\\3\ \ \ \ \|8\ \ \ \ \ \ \ \ \ | 24$

As you can see, none of rows (the two right most columns with the equations) are ever equal, on the same row. This is because the solution is not an integer. If you solve it algebraically. You'll get this:

Original equation

8x = 2x+2

Subtract 2x from both sieds

6x = 2

Divide both sides by 6

x = 2/6

Simplify the fraction

x=1/6

masya89 [10]2 years ago

3 0

Answer:

i'm not realy sure what you mean by a table

8x=2x+2

subtract 2x from each side

6x=2

divide by 6

x=1/3

Hope This Helps!!!

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A box has a volume of 546cm3 and a surface area of 422cm2. What are the Length, Width and Height?

Klio2033 [76]

We know that the formula for the volume of a box is:

$V =lwh$

Where:
l = length
w = width
h = height

The formula of the surface area of a box is:
$SA=2(lw+lh+wh)$

Based on the given we know the following:
$546cm^{3} =lwh$

and

$422cm^{2}=2(lw+lh+wh)$

If we factor out the given volume, you can come up with 3 numbers that will satisfy the surface area formula:

$546=6*7*13$

Let:
l = 6cm
w = 7cm
h = 13cm

Now let's try this on the surface area formula:
$422cm^{2}=2(lw+lh+wh)$
$422cm^{2}=2((6cm*7cm)+(6cm*13cm)+(7cm*13cm))$
$422cm^{2}=2(42cm^{2}+79cm^{2}+91cm^{2})$
$422cm^{2}=2(211cm^{2})$
$422cm^{2}=422cm^{2}$

The answer is then:
l = 6cm
w = 7cm
h = 13cm

Any order would be fine.

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Step-by-step explanation: