Answer:
(-1, 19) and (3, -81)
Step-by-step explanation:
f(x) = 2x³ − 6x² − 27x
f'(x) = 6x² − 12x − 27
-9 = 6x² − 12x − 27
0 = 6x² − 12x − 18
0 = x² − 2x − 3
0 = (x + 1) (x − 3)
x = -1 or 3
f(-1) = 19
f(3) = -81
The points are (-1, 19) and (3, -81).
Your answer is Y= 2x (a) + 4 (e)
The y intercept is 4 and the slope is 2
Using it's concept, it is found that there is a 0.183 = 18.3% probability that the person has completed a bachelor's degree and no more.
<h3>What is a probability?</h3>
A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.
Researching this problem on the internet, it is found that 529 + 1054 = 1583 out of 1911 + 6730 = 8641 people aged 40 or older have completed a bachelor's degree and no more, hence the probability is given by:
p = 1583/8641 = 0.183.
More can be learned about probabilities at brainly.com/question/14398287
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X(x - 2)(x - 4)
x(x² - 6x + 8)
x³ - 6x² + 8x
In order to solve this problem, you must draw a right triangle first to help you visualize the path of the jogger.
You are given 0.5 miles north (which will be the height of the right triangle), and 1.3 miles (which will be the hypotenuse of the triangle).
Using Pythagorean Theorem: a²+b²=c², we have:
0.5² + b² = 1.3²
b = 1.3²-0.5²
b = 1.2 miles