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Ilia_Sergeevich [38]
3 years ago
12

Help pleaseeeeee!!! I will give Brainliest

Mathematics
1 answer:
lilavasa [31]3 years ago
5 0

Answer:

75 cents (.75)

Step-by-step explanation:

It's easier to figure this out if you turn the fractions into decimals.

4 3/4=4.75

5 1/2=5.5

Now, subtract 5.5-4.75.

5.5-4.75=.75

Have an amazing day!! Hope this helps you :3

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Consider the polynomial p(x) = x^3 + 4x^2 + 6x − 36.
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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

x = -6±6i/2 = 2(-3±3i)/2

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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