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Luden [163]
3 years ago
5

Find all x-intercepts of the function. y = x³ - 9x² + 18x

Mathematics
2 answers:
iris [78.8K]3 years ago
6 0

Answer:

Step-by-step explanation:

X-intercepts mean y=0 so we have

y = x³ - 9x² + 18x = 0

Factoring

x³ - 9x² + 18x = 0

x*(x² - 9x +18) = 0

x*(x-3)*(x-6) = 0

So x-intercepts are at x=0, x=3 and x=6

PolarNik [594]3 years ago
3 0

Answer:

Step-by-step explanation:

see plot, intercepts at 0, 3, 6

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4 years ago
Mathematics with applications in the management, Natural, and Social Sciences Twelfth edition
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In 2015 the both populations were the same and from that year the population of millennials surpassed the population of boomers

Step-by-step explanation:

\left \{ {{10x+13y = 1125} \atop {-2x+7y = 495}} \right.

x=14

Boomer: 10(14)+13y=1125

               140+13y=1125

                       13y=1125-140

                       y= 985/13

                       y= 75.77 (75.77 millions of boomers in 2014)

Millenials: -2(14) +7y = 495

                  -28 +7y = 495

7y= 495+28

y= 523/7

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In 2014 the population of boombers were still greater than the population of millennials

The solution of the system of equations will give us the point where the populations were equalized, and from that point the population of boombers will be less than that of the millennials.

Boomers: 10x+13y = 1125

                 y= (-10x +1125)/13

Millenials: -2x+7y = 495

                 y= (2x+495)/7

We match both expressions of "y"

(-10x +1125)/13 =(2x+495)/7

cross multiply:

(-10x +1125)*7 =(2x+495)*13

-70x + 7875 = 26x + 6435

we group similar terms:

7875 -6435 = 26x+70x

1440 = 96x

x= 1440/96

x= 15

In 2015 the both populations were the same and from that year the population of millennials surpassed the population of boomers

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3 years ago
This is not a question i just need someone to make sure i did #16 right. Thanks;)
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