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3 years ago

6(x-2)=5x+3x+8 solve for x.

Mathematics

2 answers:

Aneli [31]3 years ago

6 0

Answer: x=-10

Step-by-step explanation:

6(x-2)=5x+3x+8

6(x−2)=8x+8

6x−12=8x+8

−12=8x+8−6x

−12=2x+8

−12−8=2x

−20=2x

-20/2=x

-10=x

x=-10

Hope this helps, now you know the answer and how to do it. HAVE A BLESSED AND WONDERFUL DAY!

- Cutiepatutie ☺❀❤

Mnenie [13.5K]3 years ago

4 0

Answer:

x = -10

Step-by-step explanation:

6 • (x - 2) - (8x + 8) = 0

Pulling out like terms :

3.1 Pull out like factors :

-2x - 20 = -2 • (x + 10)

Equation at the end of step 3 :

-2 • (x + 10) = 0

Equations which are never true :

4.1 Solve : -2 = 0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation :

4.2 Solve : x+10 = 0

Subtract 10 from both sides of the equation :

x = -10

One solution was found :

x = -10

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A candidate for a US Representative seat from Indiana hires a polling firm to gauge her percentage of support among voters in he

UkoKoshka [18]

Answer:

a) The minimum sample size is 601.

b) The minimum sample size is 2401.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

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The margin of error is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

For this problem, we have that:

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95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

a. If a 95% confidence interval with a margin of error of no more than 0.04 is desired, give a close estimate of the minimum sample size that will guarantee that the desired margin of error is achieved. (Remember to round up any result, if necessary.)

This is n for which M = 0.04. So

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.04 = 1.96\sqrt{\frac{0.5*0.5}{n}}$

$0.04\sqrt{n} = 1.96*0.5$

$\sqrt{n} = \frac{1.96*0.5}{0.04}$

$(\sqrt{n})^2 = (\frac{1.96*0.5}{0.04})^2$

$n = 600.25$

Rounding up

The minimum sample size is 601.

b. If a 95% confidence interval with a margin of error of no more than 0.02 is desired, give a close estimate of the minimum sample size necessary to achieve the desired margin of error.

Now we want n for which M = 0.02. So

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.02 = 1.96\sqrt{\frac{0.5*0.5}{n}}$

$0.02\sqrt{n} = 1.96*0.5$

$\sqrt{n} = \frac{1.96*0.5}{0.02}$

$(\sqrt{n})^2 = (\frac{1.96*0.5}{0.02})^2$

$n = 2401$

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4 0

3 years ago

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Leokris [45]

Answer:

x = 0 , y = 7/6

Step-by-step explanation:

Solve the following system:

{18 y - 12 x = 21

6 x - 9 = -9

In the second equation, look to solve for x:

{18 y - 12 x = 21

6 x - 9 = -9

Add 9 to both sides:

{18 y - 12 x = 21

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Divide both sides by 6:

{18 y - 12 x = 21

x = 0

Substitute x = 0 into the first equation:

{18 y = 21

x = 0

In the first equation, look to solve for y:

{18 y = 21

x = 0

Divide both sides by 18:

{y = 7/6

x = 0

Collect results in alphabetical order:

Answer: {x = 0 , y = 7/6

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Answer:

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Step-by-step explanation:

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