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Valentin [98]
3 years ago
9

The first term of a geometric sequence is 10,000 and the common ratio is 0.4. What

Mathematics
1 answer:
Misha Larkins [42]3 years ago
7 0

a = 10000

r = 0.4 = 4/10 = 2/5

a_9 = ar^8 = 10000 × 2^8/5^8

a_9 = 10000 × 256/(25 × 25 × 25 × 25)

a_9 = 6.5536

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The graph of the function f(x) = –(x + 6)(x + 2) is shown below.
laiz [17]

Answer:

Option A. x < -4

Step-by-step explanation:

The given function is f(x) = -(x + 6)(x + 2)

General form of the function will be,

f(x) = -(x² + 2x + 6x + 12)

     = -(x² + 8x + 12)

Vertex form of the function will be,

f(x) = -[x² + 2(4)x + 12]

     = -[(x² + 2(4)x + 16) - 16 + 12]

     = -(x + 4)² + 4

Therefore, parabola for the function above will open down with vertex (-4, 4) as shown in the graph attached.

Graph shows the function is increasing in x < -4 and decreasing in x > -4.

Therefore, Option A. is the correct answer.

4 0
3 years ago
Find the like terms.Please help..Please...3x-2y-3x
elena-s [515]

Answer:

The like terms would be 3x and -3x.

Step-by-step explanation:

If you add the like terms together you would get 0x and be left with -2y.

3 0
3 years ago
An Amusement Park
mr Goodwill [35]

Answer

300,000

the value of the digit in the ten thousands place is different from the digit in the thousands place because, even though they are the same number they have a different value being, "50,000" and "5,000".

hope this helps!

6 0
3 years ago
Let the graph of g be a vertical stretch by a factor of 2, followed by a translation 5 units down of the graph of f(x) = e". Wri
Burka [1]

Answer:

g(x) = 2e - 5

Step-by-step explanation:

f(x) = e

2 f(x) = 2e : vertical stretch by a factor 2

2 f(x) - 5 : transition 5 units down

g(x) = 2 f(x) - 5 = 2e - 5

6 0
3 years ago
Please show all the working out.
Elanso [62]
11/26 chance that the student plays both instruments.

First, add the amount of students that just play flute or piano:

3 + 5 = 8

Then add 8 to the amount that does not play either instrument:

8 + 7 = 15

Then do:

26 - 15 = 11

Then place 11 over the amount of people:

11/26
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4 0
4 years ago
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