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BigorU [14]
3 years ago
13

H(x)= -x^2 - 4 i(x)=2x+3 h(i(5))

Mathematics
1 answer:
pshichka [43]3 years ago
6 0
H(x) = -x² - 4
i(x) = 2x + 3

h(i(5)) = -(2(5) + 3) - 4
h(i(5)) = -(10 + 3) - 4
h(i(5)) = -(13) - 4
h(i(5)) = -13 - 4
h(i(5)) = -17
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Answers:

x = -8/5 or x = 8/5

Sum of the first ten terms where all terms are positive = 4092

========================================================

Explanation:

r = common ratio

  • first term = 4
  • second term = (first term)*(common ratio) = 4r
  • third term = (second term)*(common ratio) = (4r)*r = 4r^2

The first three terms are: 4, 4r, 4r^2

We're given that the sequence is: 4, 5x, 16

Therefore, we have these two equations

  • 5x = 4r
  • 4r^2 = 16

Solve the second equation for r and you should find that r = -2 or r = 2 are the only possible solutions. If r = -2, then 5x = 4r solves to x = -8/5. If r = 2, then 5x = 4r solves to x = 8/5.

-----------------

To find the sum of the first n terms, we use this geometric series formula

Sn = a*(1 - r^n)/(1 - r)

We have

  • a = 4 = first term
  • r = 2, since we want all the terms to be positive
  • n = 10 = number of terms to sum up

So,

Sn = a*(1 - r^n)/(1 - r)

S10 = 4*(1 - 2^10)/(1 - 2)

S10 = 4*(1 - 1024)/(-1)

S10 = 4*(-1023)/(-1)

S10 = 4092

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now combine like terms (x²+6x+3x+18)

6+3=9 so now you will have x²+9x+18

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I really need help with this question I’m taking a test it’s urgent !!
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Answer:

EF = 10

Step-by-step explanation:

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8 0
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