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MariettaO [177]
3 years ago
10

Find the exact value of the area of a circle whose radius is 3.1

Mathematics
2 answers:
Kazeer [188]3 years ago
7 0

Answer:

Area = pi r²

Area = 22/7 × 3.1 × 3.1 = 30.202 unit²

GuDViN [60]3 years ago
4 0

Step-by-step explanation:

area \: of \: circle =  \pi \:  {r}^{2}  \\  = 3.14 \times  {(3.1)}^{2}  \\  = 3.14 \times 9.61 \\  = 30.1754 \:  {unit}^{2}  \\

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Given the parent function f(x)=|x|, write the equation of the function g(x) whose graph is pictured
kenny6666 [7]

By analyzing the graph of the transformed function, we can see that:

g(x) = 2*|x - 2| - 4

<h3>How to get the function g(x)?</h3>

In the image we have two graphs, the yellow one is the graph of g(x).

First, analyzing the vertex we can see the translation used, you need to remember:

<u>Horizontal translation:</u>

For a general function f(x), a horizontal translation of N units is written as:

g(x) = f(x + N).

  • If N is positive, the shift is to the left.
  • If N is negative, the shift is to the right.

<u>Vertical translation:</u>

For a general function f(x), a vertical translation of N units is written as:

g(x) = f(x) + N.

  • If N is positive, the shift is upwards.
  • If N is negative, the shift is downwards.

We can see that the new vertex is at (2, -4), so the translation is 2 units to the right and 4 units down, then we have:

g(x) = |x - 2| - 4

Now, you also can see that the yellow function is narrower, such that for each increase in the x-unit, we have an increase of 2 in the y-axis, then we need to multiply by 2 the absolute value part:

g(x) = 2*|x - 2| - 4

This is the transformed function.

If you want to learn more about transformations, you can read:

brainly.com/question/4289712

5 0
2 years ago
Two times the least of three consecutive odd integers exceeds three times the greatest by 15
Mariana [72]
Three consecutive odd integers would be x, x+2, and x+4 assuming x is an odd integer. The smallest of these is x. Two times x is 2x. The greatest integer is x+4. Three times this is 3 (x+4), and if you distribute you get 3x+12. If 2x exceeds this by 15, you would make it 3x+12-15. If you add the like terms, 12+(-15) is -3. So, you have 2x=3x-3. Subtract 3x from both sides. 2x-3x is -1x, or -x. Now we have -x=-3. Divide by -, or -1 on both sides. Now we have x=3. You can substitute x for 3 for any of the consecutive odd integers to find their value.
3 0
3 years ago
Very confused on how to do this and I’m only using the circled function so if anyone can help me that would be very helpful :)
denis23 [38]
I'm pretty sure it'd just be a parabola with is axis at 0 facing upwards and the inverse would be facing downwards
7 0
3 years ago
Which of the following represents the factored form of f(x) = x3 − 81x? f(x) = x(x − 9)2 f(x) = (x + 9)(x − 9) f(x) = x(x + 9)(x
Anna [14]

Answer:

f(x) = x(x + 9)(x − 9)

Step-by-step explanation:

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3 years ago
Read 2 more answers
A country's population in 1991 was 26 million.
Vlad [161]

Answer:

30 million

Step-by-step explanation:

i just spared my question to get the answer. it is 30 million. have a good day.

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3 years ago
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