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3 years ago

Which best describes the transformation that occurs in the graph?

Mathematics

2 answers:

Lilit [14]3 years ago

6 0

Answer:

B) Reflection

Step-by-step explanation:

The image is reflected over x axis

Leya [2.2K]3 years ago

3 0

Answer:

The answer is b

Step-by-step explanation:

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A carpentry shop currently sells 66000 decoy ducks per year at a cost of 16 dollars each. In the previous year when they raised

Rus_ich [418]

Answer:

19 dollars

Step-by-step explanation:

<h2>Buckle up! This is a good one!</h2>

First we have to find the line that goes trough the two points. And it has the form :

$y=mx+b$

<em>m is often called the slope.</em>

Given the two points (66000, 16) and (51000, 21) we find m with this formula:

$m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }\\m=\frac{21-16}{51000-66000} \\m=-\frac{5}{15000} \\m=-\frac{1}{3000}$

We pick the point (51000,21) and plug it into the equation of the line and we find b:

$y= mx + b\\21=(-\frac{1}{3000} )(51000)+b\\21=-17+b\\21+17=b=38$

<h3>And we have got our line equation</h3>

$y= -\frac{1}{3000}x + 38\\$

<u>Where x represents the quantity and y represents the price.</u>

<u />

<h2>The revenue</h2>

The revenue is price times quantity, since price is y and quantity is x, we get

$y=-\frac{1}{3000} x+38\\y*x=x*(-\frac{1}{3000} x+38)\\yx=-\frac{1}{3000} x^2+38x\\R(x)=-\frac{1}{3000} x^2+38x$

<h3>to maximize the revenue, we get the first derivative:</h3>

$R(x)=-\frac{1}{3000} x^2+38x\\R'(x)=-(2)\frac{1}{3000} x+38\\R'(x)=-\frac{2}{3000} x+38\\\\R'(x)=-\frac{1}{1500} x+38\\\\$

$R'(x)=-\frac{1}{1500} x+38=0\\38=\frac{1}{1500} x\\38*1500=x=57000$

So the quantity that maximizes revenue is 57000,

<h3>let's find out the price by plugging it into the equation:</h3>

$y= -\frac{1}{3000}x + 38\\y= -\frac{1}{3000}(57000) + 38\\y= -19 + 38\\y=19$

<h2>And there you go! 19 dollars is the price the carpentry shop should charge per decoy duck.</h2>

7 0

3 years ago

Find the coordinate of the midpoint of segment cu.

Ede4ka [16]

In the middle it’s 8.5

7 0

4 years ago

The EverGlow nuclear power plant releases water into Lake Fishbegone every afternoon at 4:51 p.m. Environmental researchers are

alexandr402 [8]

9514 1404 393

Answer:

B. 5.791

Step-by-step explanation:

The slope of the line is the coefficient of x in its equation. The equation is ...

ŷ = -74.704 +5.791x

The coefficient of x, the slope, is 5.791.

6 0

3 years ago

Determine the period of the following trigonometric function.<br> y=4cos(8πx)

Diano4ka-milaya [45]

The period of y = 4 cos(8πx) is 2π/(8π) = 1/4, since

cos(x - 2π) = cos(x)

and if we replace x with 8πx, we get

cos(8πx - 2π) = cos(8πx)

and

8πx - 2π = 8π (x - 1/4)

6 0

3 years ago

Can anyone help me with this question please thank you!

Vedmedyk [2.9K]

Answer:

B. The individual events are dependent. The probability of the combined event is 3.772%.

Step-by-step explanation:

The individual events are dependent because you would have to draw 2 red candies in a row. After the first drawing, there would be one less red candy in the bag, which would affect the second drawing.

First drawing probability: 11/54, or 20.370%

Second drawing probability: 10/54, or 18.519%

Combined probability: 20.370*18.519 = 3.772%

6 0

3 years ago