Answer:
x = - 4, 0, 3, 4
Step-by-step explanation:
Given
f(x) = - 5x(x² - 16)(x - 3) ← x² - 16 is a difference of squares, thus
f(x) = - 5x(x - 4)(x + 4)(x - 3)
To find the zeros, equate f(x) to zero, that is
- 5x(x - 4)(x + 4)(x - 3) = 0
Equate each factor to zero and solve for x
- 5x = 0 ⇒ x = 0
x - 4 = 0 ⇒ x = 4
x + 4 = 0 ⇒ x = - 4
x - 3 = 0 ⇒ x = 3
Thus the zeros are
x = - 4, x = 0, x = 3, x = 4
Answer:
The energy that is changing during a phase change is potential energy. During a phase change, the heat added (PE increases) or released (PE decreases) will allow the molecules to move apart or come together. Heat absorbed causes the molecules to move farther apart by overcoming the intermolecular forces of attraction.
C will be the answer to this question
Answer: The correct choice is that he can maximize his earnings by working 12 hours as a tutor and 3 hours as a lawn mower.
James will make the most money by working at the job that pays him the most. However, he has to work at least 3 hours at $10 per hour.
Therefore, he should work only 3 mowing lawns and the rest tutoring.
The probability of not rolling a 2 is 5/6
Step-by-step explanation:
Given
Probability of rolling a 2 = p = 1/6
The probability is the chance of occurrence of an event.
Let q be the probability that the dice doesn't roll 2
The sum of probability of occurrence of an event and non-occurrence of an event is 1
So,
Putting the value of p
Hence,
The probability of not rolling a 2 is 5/6
Keywords: probability, likelihood
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