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lana66690 [7]
3 years ago
7

George tells you that when variables are in the denominator, the equation four over five plus three over x equals one over two b

ecomes unsolvable. George explains, "There is a value for x that makes the denominator zero, and you can't divide by zero." Demonstrate to George how the equation is still solvable and explain your reasoning.
Mathematics
2 answers:
Marina CMI [18]3 years ago
8 0
4/(5+3/x)= 1/2  t 8 = 5 +3/x  8x = 5x + 3 or x = 1
i do not confirm that this is correct by the way
solniwko [45]3 years ago
6 0
You need to solve the equation.  IF x = 0 then and only then is it unsolvable.

4/5 + 3/x = 1/2 - setup
8x + 30 = 5x
3x = -30
x = -10

Since x isn't 0 then the answer is valid
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Answer:

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So the answer for this case would be n=2663 rounded up to the nearest integer

Step-by-step explanation:

We have the following info:

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The margin of error is given by this formula:

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And on this case we have that ME =50 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

n=(\frac{z_{\alpha/2} \sigma}{ME})^2   (b)

The critical value for 99% of confidence interval now can be founded using the normal distribution. The significance is \alpha=0.01. And for this case would be z_{\alpha/2}=2.58, replacing into formula (b) we got:

n=(\frac{2.58(1000)}{50})^2 =2662.56 \approx 2663

So the answer for this case would be n=2663 rounded up to the nearest integer

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