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Ksenya-84 [330]
3 years ago
15

Find the series shown.

Mathematics
1 answer:
solmaris [256]3 years ago
8 0

Answer:

C 11+13+15+17+...

Step-by-step explanation:

Consider the series

\sum\limits_{n=3}^{\infty}(2n+5)

The nth term of series is a_n=2n+5

The bottom index tells you that n starts changing from 3, so

a_3=2\cdor 3+5=11\\ \\a_4=2\cdot 4+5=13\\ \\a_5=2\cdot 5+5=15\\ \\a_6=2\cdot 6+5=17\\ \\...

Thus, the sum of all terms is

11+13+15+17+...

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4p+9-7p+2=
group like terms
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that is simplified form

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Help me please!!!! 14 point reward + brainiest
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D

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Step-by-step explanation:

Rationalise it and you'll get your answer.

3 0
3 years ago
F(x) = x^2. What is g(x)
Alexeev081 [22]

Answer:

g(x) = - x² - 4 ⇒ A

Step-by-step explanation:

Let us revise the reflection and translation of a function

  • If the function f(x) reflected across the x-axis, then its image is g(x) = - f(x)
  • If the function f(x) reflected across the y-axis, then its image is g(x) = f(-x)
  • If the function f(x) translated horizontally to the right by h units, then its image is g(x) = f(x - h)  
  • If the function f(x) translated horizontally to the left by h units, then its image is g(x) = f(x + h)  
  • If the function f(x) translated vertically up by k units, then its image is g(x) = f(x) + k  
  • If the function f(x) translated vertically down by k units, then its image is g(x) = f(x) – k  

f(x) = x² is the blue curve

g(x) is its image is the red curve

∵ g(x) is the image of f(x)

∵ f(x) is opened upward

∵ g(x) is opened downward

→ That means the sign of y-coordinates of all points on the blue

   graph are opposite

∴ f(x) is reflected about the x-axis

∴ Its image is - f(x)

∵ The vertex of f(x) is (0, 0)

∵ The vertex of g(x) = (0, -4)

→ That means the function translated 4 units down

∴ - f(x) is translated 4 units down

∴ Its image is - f(x) - 4

∴ g(x) = - f(x) - 4

∵ f(x) = x²

∴ g(x) = - x² - 4

4 0
3 years ago
the square below is dilated by a scale factor of 1/2. find the perimeter and area of the square below, as well as the perimeter
mars1129 [50]

Answer:

w4

Step-by-step explanation:

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