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3 years ago

If g(x) = {(4, -5), (-3, 2), (-6, 1), (1,0)}, which set of ordered pairs represents

Mathematics

1 answer:

Ket [755]3 years ago

6 0

Answer:

The inverse of g(x) is {(-5, 4), (2, -3), (1, -6), (0, 1)} ⇒ (A)

Step-by-step explanation:

To find the inverse of a function switch x and y

Example:

If f(x) = {(1, 2), (-4, 5), (0, 0)}

To find its inverse switch x and y in each ordered pair

The inverse of f(x) = {(2, 1), (5, -4), (0, 0)}

Let us do the same with our question

∵ g(x) = {(4, -5), (-3, 2), (-6, 1), (1, 0)}

→ Switch x and y coordinates in all ordered pair

∴ The inverse of g(x) = {(-5, 4), (2, -3), (1, -6), (0, 1)}

Look at the answer to find the correct choice

It is (A)

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A chalk board’s dimensions have an

Wewaii [24]

Step-by-step explanation:

5:3=35

5=35×3

5=105

5÷105=0.05

7 0

2 years ago

Find all of the points of the form (x, −x) which are 7 units from the origin.

Morgarella [4.7K]

Answer:

(-7, 0) and (7, 0)

Step-by-step explanation:

All the points that are 7 units from the origin are on the circle:

x² + y² = 7²

The maximum and minimum values of x obtained when y = 0:

x² = 7²
√x² = √7²
x = ± 7

min x = -7 and
max x = 7

The points are:

(-7, 0) and (7, 0)

3 0

3 years ago

Read 2 more answers

You want to obtain a sample to estimate a population proportion. At this point in time, you have no reasonable preliminary estim

pogonyaev

Answer:

$n=\frac{0.5(1-0.5)}{(\frac{0.025}{1.28})^2}=655.36$

And rounded up we have that n=656

Step-by-step explanation:

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 80% of confidence, our significance level would be given by $\alpha=1-0.80=0.20$ and $\alpha/2 =0.10$ . And the critical value would be given by:

$z_{\alpha/2}=\pm 1.28$

Solution to the problem

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)

Since we don't have prior info for the proportion of interest we can use $\hat p=0.5$ as estimator. And on this case we have that $ME =\pm 0.025$ and we are interested in order to find the value of n, if we solve n from equation (a) we got: