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3 years ago

What is an estimate of the solution of the equation 6n+3=2? use a table

Mathematics

2 answers:

Norma-Jean [14]3 years ago

7 0

6n +3 = 2

6n = 2-3

6n = -1

n = -1/6

kodGreya [7K]3 years ago

6 0

Answer: n= -0.17(estimated value) is the solution of the given linear equation.

Step-by-step explanation:

Given linear equation with variable n is 6n+3=2

To find the solution we need to perform following steps:

Step 1) Subtracting 3 from both sides of the equation,we get

⇒6n+3-3=2-3

⇒6n= -1

Step 2) Multiplying 1/6 on both sides of the equation,we get

⇒6n×1/6= -1×1/6

⇒n=-1/6= -0.16666..... $\approx$ -0.17

So the solution of the lgiven equation is n=0.17

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Suppose the American Lung Association stated that approximately 1 out of every 20 deaths in the US last year was from lung cance

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Answer: 10

Step-by-step explanation:

Given : The American Lung Association stated that approximately 1 out of every 20 deaths in the US last year was from lung cancer.

Then, the proportion of death will be :_

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Now, If there are 200 students in a class, then the expected number of persons die from lung cancer :-

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4 years ago

If a substance is transported across a cell membrane from an area of low concentration to an area of high concentration, you kno

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3 years ago

Read 2 more answers

2: Write out a system of equations that has infinite solutions. Explain why it has infinite

Rasek [7]

Answer:

Below!

Explanation:

A system of equations with infinite solutions defines that both the equations are identical and are overlapping when the lines are graphed. An example could be y = 5x + 9 and y = 5x + 9. These sets of equations have infinite solutions because they are the same and when graphed, they overlap.

Hoped this helped!

4 0

2 years ago

Perform the indicated operation. <br> f(x) = x^3 + 5x<br> g(x) = 4x<br> Find (f . g)(x)

cestrela7 [59]

Step-by-step explanation:

$f(x) = {x}^{3} + 5x \\ g(x) = 4x \\ \\ \therefore \: (f.g)(x) = f(x) . g(x) \\ = ( {x}^{3} + 5x ).4x \\ = {x}^{3} .4x + 5x.4x \\ \red{{ \boxed{\bold{\therefore \: (f.g)(x) = 4 {x}^{4} + 20 {x}^{2} }}}}$

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3 years ago

A piece of wire of length 5050 is cut, and the resulting two pieces are formed to make a circle and a square. Where should the

algol [13]

Answer:

x should be cut at 2221.5 to minimize the total combined area, and at 5050 to maximize it.

Step-by-step explanation:

Let x be the length of wire that is cut to form a circle within the 5050 wire, so 5050 - x would be the length to form a square.

A circle with perimeter of x would have a radius of x/(2π), and its area would be

$A_c = \pir^2 = \pi (\frac{x}{2pi})^2 = \frac{x^2}{4\pi}$

A square with perimeter of 5050 - x would have side length of (5050 - x)/4, and its area would be

$A_s = (\frac{5050 - x}{4})^2 = \frac{(5050 - x)^2}{16}$

The total combined area of the square and circles is

$\sum A = A_c + A_s = \frac{x^2}{4\pi} + \frac{(5050 - x)^2}{16}$

To find the maximum and minimum of this, we just take the 1st derivative, and set it to 0

$A' = \frac{2x}{4\pi} + \frac{-2(5050-x)}{16} = 0$

$\frac{x}{2\pi} - \frac{5050 - x}{8} = 0$

Multiple both sides by 8π and we have

$4x - 5050\pi + x\pi = 0$

$x(4 + \pi) = 5050\pi$

$x = \frac{5050\pi}{4 + \pi} = 2221.5$

At x = 2221.5:

$A = \frac{x^2}{4\pi} + \frac{(5050 - x)^2}{16}$ = 392720 + 500026 = 892746 [/tex]

At x = 0, $A = 5050^2/16 = 1593906$

At x = 5050, $A = \frac{5050^2}{4\pi} = 2029424$

As 892746 < 1593906 < 2029424, x should be cut at 2221.5 to minimize the total combined area, and at 5050 to maximize it.

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3 years ago