What multiplied by itself 3 times gives you -216 please answer asap!!!
1 answer:
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The solution to the equations are:
- 9x² - 36x + 36 = 0 has two equal real solutions
- x² - x + 4 = 0 has no real solutions
- The factored expression of 4x² + 23 – 35 is 4(x² -3)
The equation is given as:
The above equation is a quadratic equation which can be represented as:
The discriminant (d) is calculated as:
So, we have:
A discriminant of 0 means that the equation has two equal real solutions
Hence, 9x² - 36x + 36 = 0 has two equal real solutions
<h3>Part B: Describe the solution</h3>The equation is given as:
The above equation can be represented as:
The discriminant (d) is calculated as:
So, we have:
A discriminant of -15 means that the equation has no real solutions
Hence, x² - x + 4 = 0 has no real solutions
<h3>Part C: The solution to the expression</h3>We have:
Evaluate the difference
Factor out 4
Hence, the factored expression of 4x² + 23 – 35 is 4(x² -3)
Read more about quadratic expressions at:
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The probability that the reaction time for this density function is at most 2.5 seconds is equal to 0.9.
<h3>What is a density function?</h3>A density function can be defined as a type of function which is used to represent the density of a continuous random variable that lies within a specific range.
<h3>How to calculate the probability that reaction time is at most 2.5 seconds?</h3>P(X ≤ 2.5) = Fx(2.5)
Fx(2.5) = 3/2 - 3/2(2.5)
Fx(2.5) = 3/2 - 3/5
Fx(2.5) = 0.9.
Read more on density function here: brainly.com/question/14448717
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Complete Question:
The reaction time (in seconds) to a certain stimulus is a continuous random variable with pdf:
f(x) =
What is the probability that reaction time is at most 2.5 seconds?