Mathematics: Which statement describes the solutions of this equation? I + 2 . 2 + = 1 OA. The equation has two valid solutions and no extraneous solutions, OB. The equation has no valid solutions and two extraneous solutions. O C. The equation has one valid solution and no extraneous solutions. OD. The equation has one valid solution and one extraneous solution.

Which statement describes the solutions of this

Ответ:

photagraphykid

16.03.2022

Mathematics

The true statement is (c) the equation has one valid solution and no extraneous solutions

The equation is given as:

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

Take LCM

$\frac{x^2 + x + 2}{x(x + 2)} = 1$

Expand the numerator

$\frac{x^2 + x + 2}{x^2 + 2x} = 1$

Cross multiply

x^2 + x + 2 = x^2 + 2x

Subtract x^2 from both sides

x + 2 = 2x

Collect like terms

2x -x = 2

x = 2

Hence, the equation has one valid solution and no extraneous solutions

Read more about solutions of equations at:

link

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Ответ:

emilyblaxton

16.03.2022

Mathematics

Step-by-step explanation:

x/(x + 2) + 1/x = 1

x² + (x + 2) = x(x + 2)

x² + x + 2 = x² + 2x

x = 2.

Since x = 2 neither makes (x + 2) or x become 0, there are no extraneous solutions.

The answer is "The equation has 1 valid solution and no extraneous solutions." (C)

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Ответ:

joejoefofana

19.07.2020

Mathematics

The surface area of the prism is equal to 72 sq inches.

Step-by-step explanation:

Given that,

A rectangular prism with a length of 7 inches, a width of 3 inches, and a height of 1 1/2 inches.

The surface area of a rectangular prism is given by :

A=2(lb+bh+hl)

Put all the values,

$A=2(7\times 3+3\times \dfrac{3}{2}+\dfrac{3}{2}\times 7)\\\\A=2\times 36\\\\A=72\ in^2$

So, the surface area of the prism is equal to 72 sq inches.

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