Answer:
x = - 2, x = - 
Step-by-step explanation:
Given
5x² + 13x + 6 = 0
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 5 × 6 = 30 and sum = + 13
The factors are + 10 and + 3
Use these factors to split the x- term
5x² + 10x + 3x + 6 = 0 ( factor the first/second and third/fourth terms )
5x(x + 2) + 3(x + 2) = 0 ← factor out (x + 2) from each term
(x + 2)(5x + 3) = 0
Equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
5x + 3 = 0 ⇒ 5x = - 3 ⇒ x = -
<u><em>A</em></u><u><em>nswer:</em></u>
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<u><em> and </em></u>
<u><em></em></u>
<u><em>Step-by-step explanation:</em></u>
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<u><em>we have</em></u>
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<u><em> -----> equation A</em></u>
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<u><em> ------> equation B</em></u>
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<u><em>we know that</em></u>
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<u><em>The solution of the system of equations is equal to the intersection point of both graphs</em></u>
<u><em></em></u>
<u><em>Using a graphing tool </em></u>
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<u><em>see the attached figure</em></u>
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<u><em>There are two intersection points</em></u>
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<u><em>Therefore</em></u>
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<u><em>The system of equations has two solutions</em></u>
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<u><em>The solutions of the system of equations are the points and </em></u>
Answer: 2 II, only
Step-by-step explanation:
The events are independent
Two events, A and B, are independent if the fact that A occurs does not affect the probability of B occurring. Comparing with the given situation, it means that the fact that the child has blue eyes does not mean that the child would necessarily have blond hair.
The multiplication rule is applied for independent events. Since events A and B are independent, the probability of both occurring is
P(A and B) = P(A) × P(B)
Applying it to the given situation, the probability of the child having blue eyes and blond hair is
0.25 × 0.5 = 0.125
This corresponds to the given probability. Therefore, they are independent events.
Mutually exclusive is not correct because the events can happen at the same time
