All categories

2 years ago

How to find values of x that are not in the domain?

1 answer:

8 0

So the domain is "all x". To find the domain, I'll ignore the "x + 2" in the numerator (since the numerator does not cause division by zero) and instead I'll look at the denominator. I'll set the denominator equal to zero, and solve. The x-values in the solution will be the x-values which would cause division by zero.

You might be interested in

A 95% confidence interval for a population mean is computed from a sample of size 400. Another 95% confidence interval will be c

Anna [14]

Answer:

The interval from the sample of size 400 will be approximately One -half as wide as the interval from the sample of size 100

Step-by-step explanation:

From the question we are told the confidence level is 95% , hence the level of significance is

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

=> $\alpha = 0.05$

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

$Z_{\frac{\alpha }{2} } = 1.96$

Generally the 95% confidence interval is dependent on the value of the margin of error at a constant sample mean or sample proportion

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \frac{\sigma}{\sqrt{n} }$

Here assume that $Z_{\frac{\alpha }{2} } \ and \ \sigma \$ is constant so

$E = \frac{k}{\sqrt{n} }$

=> $E \sqrt{n} = K$

=> $E_1 \sqrt{n}_1 = E_2 \sqrt{n}_2$

So let $n_1 = 400$ and $n_2 = 100$

=> $E_1 \sqrt{400} = E_2 \sqrt{100}$

=> $E_1 = \frac{\sqrt{100} }{\sqrt{400} } E_2$

=> $E_1 = \frac{1}{2 } E_2$

So From this we see that the confidence interval for a sample size of 400 will be half that with a sample size of 100

7 0

2 years ago

What is the solution of the following question? x^2+10x+25=12

zalisa [80]

Make equal to 0
minus 12from both sides
x^2+10x+13=0
we can't factor so use quadratic formula

x= $\frac{-b+/- \sqrt{b^{2}-4ac} }{2a}$
x= $\frac{-10+/- \sqrt{10^{2}-4(1)(13)} }{2(1)}$
x= $\frac{-10+/- \sqrt{100-52} }{2}$
x= $\frac{-10+/- \sqrt{48} }{2}$
x= $\frac{-10+/- 4\sqrt{3} }{2}$
x= $-5+/- 2\sqrt{3}$

x= $-5+ 2\sqrt{3}$ or $-5- 2\sqrt{3}$

aprox
x=-1.5359 or -8.4641

3 0

2 years ago

Read 2 more answers

Harvard University accepts 6 students for every 100 applicants. How many students will be accepted if 850 applicants apply for a

patriot [66]

Answer:

51 accepted

Step-by-step explanation:

Well, if 6 are accepted out of 100, that's 6% or 0.06. To find how many are accepted out of 850, multiply 850 by 0.06.

4 0

2 years ago

Read 2 more answers