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Ne4ueva [31]
2 years ago
11

Given the coordinate transformation f(x, y) = (- 2x, y) and the domain (0, 5), (8, - 1) and (- 6, 4) what is the range?

Mathematics
1 answer:
Mariana [72]2 years ago
5 0

Answer:

{(0, 5), (-16, -1), (12, 4)}

Step-by-step explanation:

Given the coordinate transformation f(x, y) = (- 2x, y) and the domain (0, 5), (8, - 1) and (- 6, 4), to get the range, we will get f(x, y) for all the domain values

For the coordinate (0,5);

f(0, 5) = (-2(0), 5)

f(0, 5) = (0, 5)

For the coordinate (8, -1);

f(8, -1) = (-2(8), -1)

f(8, -1) = (-16, -1)

For the coordinate (-6, 4);

f(-6, 4) = (-2(-6), 4)

f(0, 5) = (12, 4)

Hence the range is {(0, 5), (-16, -1), (12, 4)}

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barxatty [35]

Answer:

48,558

Step-by-step explanation:

The function which models the relationship between the elapsed time, t in years, since 2010 and the town's population, P(t), is given as:

P(t)=36800\cdot2^{^\dfrac{t}{25}}

Now, 2020-2010=10 Years

Therefore we are required to calculate the population of the town 10 years after.

To do this, we simply substitute t=10 in the function.

P(10)=36800\cdot2^{^\dfrac{10}{25}}}\\=48557.9\\\approx 48558

According to the model, the population in Fall River will be 48,558 in the Year 2020.

7 0
3 years ago
There were 60 ducks living in a pond. If the number living at the pond increased by 30%, how many ducks now live at the pond?
timama [110]

Answer:

78

Step-by-step explanation:

You take the original total: 60, and multiply it by 30 to get 1,800. You then divide 1,800 by 100 to get 18. 18 is your 30%. Now, you add the 30% to 60 getting your total number of ducks: 78.

The equation version:

\frac{a}{60} = \frac{30}{100}

It is just proportions.

3 0
2 years ago
What is the area of the following right triangle?
In-s [12.5K]

Answer:

32.5

Step-by-step explanation:

13 times 5 = 165

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4 0
3 years ago
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Using the given points, determine the slope. (5,-6)and(2,15)
Hunter-Best [27]
Subtract the y-coordinates. This is the rise.
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Subtract the y-coordinates: -6 - 15 = -21. rise = -21
Subtract the x-coordinates in the same order:5 - 2 = 3. run = 3

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Answer:

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Step-by-step explanation:

77x - 33x² ← factor out 11x from each term

= 11x(7 - 3x)

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