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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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Mr. Mole's burrow lies 5 meters below the ground. He started digging his way deeper into the ground, descending 3 meters each mi
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Answer is that Mr mole goes 3 each minute for each minute add on those 3 as you add on those 3 write it down counting how many then you know the time and the meters hes been digging

5 0
3 years ago
What is the perimeter of the larger triangles
kirill [66]
It’s 12 cause the smaller triangle is smaller by times 3 so if u multiply all those and the missing one would be 12 cause 4 times 3 is 12
5 0
3 years ago
15. Fatima bought a video game that has a
OleMash [197]

Answer:

Step-by-step explanation:

Discount = 15% of 45

=\frac{15}{100}*45\\\\=\frac{675}{100}=6.75

= $6.75

Price of the video game = 45 - 6.75 = $38.25

Tax = 7%of 38.25

=\frac{7}{100}*38.25\\\\=\frac{267.75}{100}=2.6775

Price paid by Fatima for the video game = 38.25 + 2.68 = $ 40.93

6 0
2 years ago
An automotive repair center charges $45 for any part of the first hour of labor, and $25 for any part of each additional hour. W
IceJOKER [234]
The total cost is given by the equation:
C(t) = 45 + 25(h-1) where h is the number of hours worked.

We can check for each option in turn:

Option A:

Inequality 5 < x ≤ 6 means the hour is between 5 hours (not inclusive) to 6 hours (inclusive)
Let's take the number of hours = 5
C(5) = 45 + (5-1)×25 = 145
Let's take the number of hours = 6
Then substitute into C(6) = 45 + (6-1)×25 = 170
We can't take 145 because the value '5' was not inclusive.


Option B:
The inequality is 6 < x ≤ 7
We take number of hours = 6
C(6) = 25(6-1) + 45 = 170
We take number of hours = 7
Then C(7) = 25(7-1) + 45 = 195

Option C:
The inequality is 5 < x ≤ 6
Take the number of hours = 5
C(5) = 25(5-1) + 45 = 145
Take the number of hours = 6
C(6) = 25(6-1) + 45 = 170
We can't take the value 145 as '5' was not inclusive in the range, but we can take 170

Option D:
6 < x ≤ 7
25(6-1) + 45 < C(t) ≤ 25(7-1) + 45
170 < C(t) ≤ 195

Correct answer: C


7 0
3 years ago
Item 5
Sedbober [7]

Answer: 300.3858/ maybe 300.385

Step-by-step explanation: 4 2/7 as decimal= 4.29 x (-18) = -77.22 x -3.89=  300.3858 (3.89 = decimal form of -3 8/9)  300.3858 x 1 = 300.3858

3 0
2 years ago
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