<img src="https://tex.z-dn.net/?f=%20%7B%20%5Calpha%20%7D%5E%7B2%7D%20%20%5Cbeta%20%20%2B%20%20%5Calpha%20%20%7B%20%5Cbeta%20%7D

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2 years ago

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Please solve this

Mathematics

1 answer:

sineoko [7]2 years ago

4 0

If a and B are the zoros of the quadratic polynomial p(x)=4x^2 - 5x-1, find value of a^2B + aB^2 .

Solution

SINCE a and B are the roots of the polynomial: 4x^2-5x-1

Sum of the roots a+B =5/4

Product of the roots aB=-1/4

HENCE

a^2B+aB^2=aB(a+B)=5/4(-1/4)=-5/16

Concept:Relationship Between Zeroes and coefficients of a Polynomial

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Step-by-step explanation:

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Michael has interviewed for two jobs. He feels that he has a 50% chance of getting an offer on Job A and a 60% chance of getting

shutvik [7]

Using Venn probabilities, it is found that the probability that he receives an offer on at least one of the jobs is given by:

D. 0.80

<h3>What is a Venn probability?</h3>

In a Venn probability, two non-independent events are related with each other, as are their probabilities.

The "or probability" is given by:

$P(A \cup B) = P(A) + P(B) - P(A \cap B)$

In this problem, we have that:

50% chance of getting an offer on Job A, hence P(A) = 0.5.

60% chance of getting an offer on Job B, hence P(B) = 0.6.

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$P(A \cup B) = P(A) + P(B) - P(A \cap B) = 0.5 + 0.6 - 0.3 = 0.8$

Hence option D is correct.

More can be learned about Venn probabilities at brainly.com/question/25698611

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2 years ago

Which is more likely to happen?

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Number one is more likely to happen.
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Given that f ( x ) = 5 x − 5 and g ( x ) = 4 x , evaluate g ( g ( − 2 ) )

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Answer:

g(g(-2))

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This is the correct solution

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3 years ago