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2 years ago

The graph of g(x), shown below, is a vertical shift of the graph of f(x) = 2x.

Mathematics

1 answer:

4vir4ik [10]2 years ago

3 0

The equation which represents the given graph g(x) is 2ˣ-1.

<h3>What is Equation?</h3>

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign.

Here, given graph passes through origin.

Put x = 0 in all the given equation and verify which equations gives result as zero.

Put x = 0 in option A

g(0) = 2⁰⁺¹ = 2 ≠ 0

in option B

g(0) = 2⁰-1 = 1 - 1 = 0

Thus, option B g(x) = 2ˣ-1 is the correct expression for the given graph.

Learn more about Equations from:

brainly.com/question/10413253

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Answer:

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Step-by-step explanation:

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Nitrates are groundwater contaminants derived from fertilizer, septic tank seepage and other sewage. Nitrate poisoning is partic

o-na [289]

Answer:

a) $n=\frac{0.5(1-0.5)}{(\frac{0.02}{1.96})^2}=2401$

And rounded up we have that n=2401

b) $n=\frac{0.07(1-0.07)}{(\frac{0.02}{1.96})^2}=625.22$

And rounded up we have that n=626

And we see that if we have previous info about p the sample size varies a lot.

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

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Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical value would be given by:

$z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96$

Part a

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

And on this case we have that $ME =\pm 0.02$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

Since we don't have prior information about the population proportion we can use ase estimator $\hat p =0.5$ . And replacing into equation (b) the values from part a we got:

$n=\frac{0.5(1-0.5)}{(\frac{0.02}{1.96})^2}=2401$

And rounded up we have that n=2401

Part b

For thi case the estimator for p is $\hat p =0.07$

$n=\frac{0.07(1-0.07)}{(\frac{0.02}{1.96})^2}=625.22$

And rounded up we have that n=626

And we see that if we have previous info about p the sample size varies a lot.

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2 years ago

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Step-by-step explanation:

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Bezzdna [24]

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add 15 to each side

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