3 years ago

Which is the solution of the equation 1/4 ( 3x - 1 ) = 2x -2/3

Mathematics

1 answer:

agasfer [191]3 years ago

3 0

Answer:

x = 1/3

Step-by-step explanation:

Perform the indicated multiplication:

Clear out the fractions. The LCD here is 12, so multiply both sides by 12, obtaining:

3(3x - 1) = 24x - 8, or

9x - 3 = 24x - 8

Combining like terms, we get 5 = 15x, so that x = 1/3.

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Find a formula for the described function. An open rectangular box with volume 3 m3 has a square base. Express the surface area

Alex73 [517]

Answer:

$SA(x) = x^2 + \frac{12}{x}$

Step-by-step explanation:

Given

$V = 3m^3$ --- volume

$x \to base\ length$

$y \to height$

Required

The surface area as a function of base length

The volume (V) is calculated as:

$V = Base\ Area * Height$

$V = x*x*y$

$V = x^2*y$

Make y the subject

$y = \frac{V}{x^2}$

Substitute 3 for V

$y = \frac{3}{x^2}$

The surface area of the open box is:

$SA = x^2 + 2xy+2xy$

$SA = x^2 + 4xy$

Substitute: $y = \frac{3}{x^2}$

$SA = x^2 + 4x*\frac{3}{x^2}$

$SA = x^2 + 4*\frac{3}{x}$

$SA = x^2 + \frac{12}{x}$

Hence, the function is:

$SA(x) = x^2 + \frac{12}{x}$

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2 years ago

I got a lotnof missing work

SashulF [63]

Each eraser was $4.

6+4(3)=18

6+12=18

please vote my answer brainliest. thanks!

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2 years ago

3 (x + 1) - 5 = 3x - 2<br> has how many solutions?

marissa [1.9K]

Answer:

Zero Solutions

Step-by-step explanation:

3x+3-5=3x-2

3x-3x= -2+5

0= 3

0 does not equal 3, so zero solutions.

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