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3 years ago

Which of the following equations has an infinite number of

Mathematics

1 answer:

love history [14]3 years ago

6 0

The following equation has infinite many solutions

3(2x+1)=2(1+3x)+1

Step-by-step explanation:

An equation has infinite solutions if there is same constant on both sides of the equation.

We will check each equation one by one to find the equation with infinite solutions.

So,

3(2x+1)=2(1+3x)+1

$3(2x+1)=2(1+3x)+1\\6x+3 = 2+6x+1\\6x +3 = 6x +3\\6x-6x+3 = 3\\3 = 3$

3(2x+1)=2(1+3x)-1

$3(2x+1)=2(1+3x)-1\\6x+3 = 2+6x-1\\6x+3=1+6x\\6x-6x+3 = 1\\3 = 1$

3(2x-1)=2(1+3x)-1

$3(2x-1)=2(1+3x)-1\\6x-3 = 2+6x-1\\6x-3 = 1+6x\\6x-6x-3 = 1\\-3 = 1$

3(2x+1)=2(3+2x)-3

$3(2x+1)=2(3+2x)-3\\6x+3 = 6+4x-3\\6x+3 = 3+4x\\6x-4x+3 = 3\\2x+3 = 3$

The following equation has infinite many solutions

3(2x+1)=2(1+3x)+1

Keywords: Solution of equation, Linear equation

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Word form and standard form 2,364

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Answer:

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3 years ago

Read 2 more answers

A survey is planned to estimate the proportion of voters who support a proposed gun control law. The estimate should be within a

Burka [1]

Complete Question

A survey is planned to estimate the proportion of voters who support a proposed gun control law. The estimate should be within a margin of error of $\pm 5\%$ with 99 %confidence, and we do not have any prior knowledge about the proportion who might support the law. How many people need to be included in the sample?

Answer:

The value is $n = 666$

Step-by-step explanation:

From the question we are told that

The margin of error is $E = 0.05$

From the question we are told the confidence level is 99% , hence the level of significance is

$\alpha = (100 - 95 ) \%$

=> $\alpha = 0.01$

Generally from the normal distribution table the critical value of $\frac{\alpha }{2}$ is

$Z_{\frac{\alpha }{2} } = 2.58$

Here we will assume that the sample proportion of those who support a proposed gun control law to be $\^ p = 0.5$ because from the question they do not have any prior knowledge about the proportion who might support the law