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never [62]
3 years ago
8

List the integers that satisfy both these inequality. 2x+9<0 x>-12

Mathematics
1 answer:
Ludmilka [50]3 years ago
6 0

Answer:

<u>Given:</u>

  • 2x + 9 < 0 ⇒ 2x < - 9 ⇒ x < - 4.5
  • x > -12

<u>Combined we have:</u>

  • -12 < x < - 4.5

<u>The integers in the same interval are:</u>

  • x ∈ {-11, -10, -9, -8, -7, -6, -5}
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Answer:

1800

Step-by-step explanation:

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so, 30 * 60 = 1800

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One online seller has about 6x10to the 8th online orders, and another online seller has about 5x10 to the 7th orders. How many t
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7 0
3 years ago
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Consider the polynomial p(x) = x^3 + 4x^2 + 6x − 36.
Nady [450]

Answer:

a. attached graph; zero real: 2

b. p(x) = (x - 2)(x + 3 + 3i)(x + 3 - 3i)

c. the solutions are 2, -3-3i and -3+3i

Step-by-step explanation:

p(x) = x³ + 4x² + 6x - 36

a. Through the graph, we can see that 2 is a real zero of the polynomial p. We can also use the Rational Roots Test.

p(2) = 2³ + 4.2² + 6.2 - 36 = 8 + 16 + 12 - 36 = 0

b. Now, we can use Briott-Ruffini to find the other roots and write p as a product of linear factors.

2 |  1     4     6    -36

     1      6    18     0

x² + 6x + 18 = 0

Δ = 6² - 4.1.18 = 36 - 72 = -36 = 36i²

√Δ = 6i

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x' = -3-3i

x" = -3+3i

p(x) = (x - 2)(x + 3 + 3i)(x + 3 - 3i)

c. the solutions are 2, -3-3i and -3+3i

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3 years ago
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LenKa [72]
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6 0
3 years ago
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