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3 years ago

If the graph of the following parabola is shifted two units left and three units down, what is the resulting equation?

Mathematics

1 answer:

mafiozo [28]3 years ago

7 0

Answer:

$x=-8\left(y+3\right)^2-2$

Step-by-step explanation:

Because the x and y have been reversed in this equation, shifting the parabola to the left will be outside of the exponent and shifting up and down will be inside with the exponent.

The equation becomes $x=-8\left(y+3\right)^2-2$ .

Where subtracting by 2 moves it two units to the left and adding by 3 moves it 3 units down.

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3 years ago

A store has a 20% sale on everything. An item originally cost 350 AED. What is the sale price? Show your work of how you calcula

slega [8]

Answer:

Step-by-step explanation:

A store has a 20% sale on everything.

So since you are saving 20%, you will only be paying 80% of the original price.

To find the sale price use the following formula:

Sale price = 80% x original price

They told us the original price = 350 AED

This means:

Sale price = 80% x 350

I think it would be easiest to change 80% into a fraction if you don't have a calculator :)

80% = $\frac{80}{100} = \frac{4}{5}$

This means that the

Sale Price= $\frac{4}{5}$ x 350 = 280 AED

6 0

3 years ago

Read 2 more answers

Unoccupied seats on flights cause airlines to lose revenue. Suppose a large airline wants to estimate its average number of unoc

Bingel [31]

Answer:

We need a sample size of at least 719

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.95}{2} = 0.025$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.025 = 0.975$ , so $z = 1.96$

Now, find the margin of error M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

How large a sample size is required to vary population mean within 0.30 seat of the sample mean with 95% confidence interval?

This is at least n, in which n is found when $M = 0.3, \sigma = 4.103$ . So

$M = z*\frac{\sigma}{\sqrt{n}}$

$0.3 = 1.96*\frac{4.103}{\sqrt{n}}$

$0.3\sqrt{n} = 1.96*4.103$

$\sqrt{n} = \frac{1.96*4.103}{0.3}$

$(\sqrt{n})^{2} = (\frac{1.96*4.103}{0.3})^{2}$

$n = 718.57$

Rouding up

We need a sample size of at least 719

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2 years ago

A regular hexagon is inscribed in a circle and another regular hexagon is circumscribed about the same circle. What is the ratio

Anna007 [38]

4/3 of the area of the larger hexagon to the area of the smaller hexagon

Let the sides of the interior hexagon be 2 cm long, then this hexagon is made up of 6 equilateral triangles of side = 2.

The area of this hexagon = 6 * 1 * sqrt3 = 6 sqrt3 ( as the triangle is made up of 2 60-30-90 triangles)

The exterior hexagon is made up of 6 equilateral triangles with altitude 2 and the area = 6 * 2 * (2 / sqrt3 ) = 24 / sqrt3

area exterior hex / interior hex = 24 / sqrt3 * 1 / 6sqrt3 = 24/18

= 4/3

Required ratio = 4/3 answer

Learn more about Equations:

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2 years ago

If you want brainiest than come here

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