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Levart [38]
2 years ago
5

Given the graph of a function, you can preform the horizontal line test to determine whether the inverse is also a function

Mathematics
1 answer:
earnstyle [38]2 years ago
5 0

I believe the answer is true.

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A sample of students will be selected from all the students at a high school. Which of the following sampling methods is least l
Feliz [49]

Answer:

B seems most logical and fair

Step-by-step explanation:

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2 years ago
In the algebra expression 7a+17b-10c,7, 17, and -10 are
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These numbers are categorized as numerical coefficients. A number that is next to a specific variable in an algebraic or polynomial expression and is essentially being multiplied to that variable.
6 0
3 years ago
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
A certain chalkboard manufacturer determines that their largest blackboard model has a mean length of 5.00 m and a standard devi
Igoryamba

Answer:

23 chalkboards

Step-by-step explanation:

Given:

Mean length = 5 m

Standard deviation = 0.01

Number of units ordered = 1000

Now,

The z factor = \frac{\textup{x - Mean}}{\textup{standard deviation}}

or

The z factor = \frac{\textup{4.98 - 5}}{\textup{0.01}}

or

Z = - 2

Now, the Probability P( length < 4.98 )

Also, From z table the p-value = 0.0228

therefore,

P( length < 4.98 ) = 0.0228

Hence, out of 1000 chalkboard ordered (0.0228 × 1000) = 23 chalkboard are likely to have lengths of under 4.98 m.

7 0
3 years ago
Which term best describes the definition below?
Amiraneli [1.4K]
When a set of objects are chosen from a larger set in which the order of the object doesn't matter, we call this combination. Otherwise if the order of selection would matter this would be called a permutation.
Probability 
is the likelihood of selecting a particular specified object in from a specified group of objects.
Therefore our answer is B.
4 0
3 years ago
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