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Vsevolod [243]
3 years ago
9

Form the union for the following sets. M = { } N = {6, 7, 8, 9, 10} M ∪ N =

Mathematics
1 answer:
GrogVix [38]3 years ago
3 0
M ∪ N = <span>{6, 7, 8, 9, 10}</span>
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Question 15 of 46
kifflom [539]

The given polynomial function has 1 relative minimum and 1 relative maximum.

<h3>What are the relative minimum and relative maximum?</h3>
  • The relative minimum is the point on the graph where the y-coordinate has the minimum value.
  • The relative maximum is the point on the graph where the y-coordinate has the maximum value.
  • To determine the maximum and the minimum values of a function, the given function is derivated(since the maximum or minimum is obtained at slope = 0)

<h3>Calculation:</h3>

The given function is

f(x) = 2x³ - 2x² + 1

derivating the above function,

f'(x) = 6x² - 4x

At slope = 0, f'(x) = 0 (for maximum and minimum values)

⇒ 6x² - 4x = 0

⇒ 2x(3x - 2) = 0

2x = 0 or 3x - 2 = 0

∴ x = 0 or x = 2/3

Then the y-coordinates are calculated by substituting these x values in the given function,

when x = 0;

f(0) = 2(0)³ - 2(0)² + 1 = 1

So, the point is (0, 1)

when x = 2/3;

f(2/3) = 2(2/3)³ - 2(2/3)² + 1 = 19/27

So, the point is (2/3, 19/27)

Since y = 1 is the largest value, the point (0, 1) is the relative maximum for the given function.

So, y = 19/27 is the smallest value, the point (2/3, 19/27) is the relative minimum for the given function.

Thus, option A is correct.

Learn more about the relative minimum and maximum here:

brainly.com/question/9839310

#SPJ1

3 0
2 years ago
How many is 7= 12 + 5h<br> With procedure
Arlecino [84]
H= -1 here's why:

7 = 12 + 5h 

First you subtract 12 from both sides then the equation would look like:

-5 = 5h

Then you would divide the equation by 5 from both sides it would then look like:

-1 = h 
8 0
3 years ago
Mrs. Bull needs to be 46" tall to participate in the Glenwood Christmas Laser Tag Party. How many feet tall does
UkoKoshka [18]

Answer:

3.8333... ft

Step-by-step explanation:

1 ft = 12 inches

46 inches * (1 foot)/(12 inches) = 3.8333... ft

8 0
3 years ago
Read 2 more answers
uincy uses the quadratic formula to solve for the values of x in a quadratic equation. He finds the solution, in simplest radica
Verdich [7]

Answer: according to spark notes: There can be 0, 1, or 2 solutions to a quadratic equation, depending on whether the expression inside the square root sign, (b2 - 4ac), is positive, negative, or zero. This expression has a special name: the discriminant.

In this case it is 0, not 2, which was my first and wrong answer





3 0
3 years ago
Read 2 more answers
Michael is making a backdrop for the school play.He bought 4 rolls of material to use.He used 27 square feet of material for the
charle [14.2K]
27+5= 32 total square feet.
32/4= 8 square feet per roll.
7 0
3 years ago
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