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weqwewe [10]
3 years ago
6

Evaluate the summation of 2n+5 from n=1 to 12 29 36 216 432

Mathematics
1 answer:
rewona [7]3 years ago
3 0
\bf \sum\limits_{n=1}^{12}\ 2n+5\implies \sum\limits_{n=1}^{12}\ 2n+\sum\limits_{n=1}^{12}\ 5\implies 2\sum\limits_{n=1}^{12}\ n+\sum\limits_{n=1}^{12}\ 5
\\\\\\
2\cdot \cfrac{12(12+1)}{2}+(12\cdot 5)\implies 156+60\implies 216
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PLEASE HELP ME!!!!!!
Nata [24]

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Answer:

  vertex: (2, -3.2)

  axis of symmetry: x = 2

  zeros: x=0, x=4

  formula for axis of symmetry:

  • x = <x-coordinate of vertex>
  • x = -b/(2a) . . . . . . . where the quadratic is ax^2 +bx +c
  • x = average of zeros, (z1 +z2)/2

Step-by-step explanation:

a) The vertex x-coordinate is halfway between the zeros, so is x = (0+4)/2 = 2. It is where the graph has a turning point.

The vertex y-coordinate is the low point of this graph. It is not on a grid line, so we can only guess at its value. I choose to call it -3.2.

The vertex is (2, -3.2).

__

b) The axis of symmetry is the vertical line through the vertex. The constant in its equation is the x-coordinate of the vertex:

  x = 2

__

c) The zeros of the function are where the function crosses the x-axis. These are marked on the graph with red dots. The zeros are x=0 and x=4.

__

d) When the quadratic is written in standard form, ax^2 +bx +c, the equation of the axis of symmetry is ...

  x = -b/(2a) . . . . . perhaps this is the formula you're being asked for (?)

When there is no equation, the axis of symmetry can be found from the graph a couple of ways. One is to identify the x-coordinate of the vertex.

  x = <x-coordinate of the vertex>

Another is to average the zeros, since they are symmetrical about the axis of symmetry.

  x = average of zeros = (z1 +z2)/2

If the quadratic is written in vertex form, the vertex coordinate is the constant in the equation for the axis of symmetry.

  y = a(x -h)^2 +k . . . . . quadratic with vertex (h, k)

  x = h . . . . . . equation of axis of symmetry

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maks197457 [2]

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Step-by-step explanation:

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2 years ago
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Ivahew [28]

Answer:

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Step-by-step explanation:

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3 0
3 years ago
Read 2 more answers
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Andreas93 [3]

Answer: 12.5 cm

Step-by-step explanation:

Equation would be:

1:80

?:1000

So you'll just have the cross multiply the equation above to find ? ( scale drawing lake). It'll be 1000*1/80 which will be 12.5 cm.

                               

7 0
3 years ago
What is 0.04 is 1/10 of what number ?
Simora [160]
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3 years ago
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