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Vesnalui [34]
3 years ago
6

The function

Mathematics
1 answer:
Stella [2.4K]3 years ago
6 0

Answer:

  • The smaller one is x = 3
  • and the larger one is x = 6

Step-by-step explanation:

A "critical number" is a function argument where the function has zero or undefined slope. A polynomial function never has undefined slope, so we're looking for the x-values where f'(x) = 0.

A graphing calculator easily shows the points that have zero slope. They are found at x = 3 and x = 6.

_____

Setting the derivative to zero is another way to find the points with zero slope:

  f'(x) = 6x^2 -54x +108 = 6(x^2 -9x +18) = 6(x-3)(x-6)

The derivative will be zero where the factors are zero, at x=3 and x=6.

The critical numbers are x=3 and x=6.

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Slope
siniylev [52]

Answer:

(blue)

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equation - y=3x-1

(yellow)

slope -( 3)

y-intercept -( 0)

equation - y=3x

Step-by-step explanation:

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6 0
3 years ago
A circle with a radius of 5 has a sector with a central angle of 9/10pi radians what is the area of the sector
Snowcat [4.5K]

Answer:

11.25pi units² or 35.3 units² (3 sf)

Step-by-step explanation:

½×r²×theta

½ × 5² × 0.9pi

11.25pi units²

Or, 35.3 units² (3 sf)

6 0
3 years ago
Lin rode her bike 2 miles in 8 minutes. She rode at a constant speed. How
hodyreva [135]

Answer: 4

Step-by-step explanation:

For this question, we have to divide the number 8 by 2.

8 ÷ 2 = 4

Now, we have to take the quotient, 4, and multiply it by 1.

1 x 4 = 4

The answer is 4.

6 0
3 years ago
When two numbers are not equal, an ___ is a sentence that uses the symbols >, <, ≥, ≤, or ≠ to show a relationship.
alukav5142 [94]

Answer:

Inequality

Step-by-step explanation:

Inequality is show a comparison between the two quantities which are unequal.

It can be represented:

≤  ⇒  less than or equal to

< ⇒ less than

≠ ⇒ not equal to

> ⇒ greater than

≥ greater than or equal to

<u><em>Kavinsky</em></u>

5 0
2 years ago
Original Price $60 Percent of Discount Sale Price $45
Brums [2.3K]

Answer:

15

Step-by-step explanation:

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