What is the final value of X?

X STARTS AT 2:
ADD 6 to X
ADD 6 to X
SUBTRACT 4 from X:

The absolute maximum value is 412 and the absolute minimum value is -617.

A function's absolute maximum point is the location at which it can reach its highest value. A similar absolute lowest point is where the function's maximum value is obtained.

The absolute maximum and minimum values of f(x) = 6x^3 − 9x^2 − 216x + 9 on the interval [-4, 5] can be found using the First and Second Derivative Tests.

First, find the critical points of f(x) by setting its first derivative equal to zero and solving for x:

f'(x) = 18x^2 - 18x - 216 = 0

Using the quadratic formula, we get x = 4,-3.

Next, use the second derivative test to determine if the critical points are maxima or minima:

f''(x) = 36x - 18

At x = 4, f''(x) > 0, so x = 6 is a local minimum.

At x = -3, f''(x) < 0, so x = -9 is a local maximum.

Finally, check the endpoints of the interval to see if they contain the absolute maximum or minimum:

At x = -4, f(-4) = 6(-4)^3 - 9(-4)^2 - 216(-4) + 9 = 345

At x = 5, f(5) = 6(5)^3 - 9(5)^2 - 216(5) + 9 = -546

At x= 4, f(4) = -617

At x= -3, f(-3) = 412

Therefore, the absolute maximum value is 412 and the absolute minimum value is -617.

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Answer:

B:(x-2)^2+(y-1)^2=64

Step-by-step explanation:

center is (2,1), point is (2,9)

so the radius=9-1=8

(x-2)^2+(y-1)^2=64

By finding the average rate of change, we can see that:

a) The cost decreases.

b) The cost increases.

To check that, we need to find the average rate of change on the interval.

Remember that for function f(x) on an interval (a, b), the average rate of change is:

R = (f(b) - f(a))/(b - a)

Here the cost function is:

c(n) = 0.25*n² - 10n + 800

a) In the interval [10, 15] the average rate of change is given by:

R = (c(15) - c(10)/(15 - 10)

Where:

c(15) = 0.25*15^2 - 10*15 + 800 = 706.25

c(10) = 0.25*10^2 - 10*10 + 800 = 725

Then the average rate of change is:

R = (706.25 - 725)/(15 - 10) = -3.75

This means that between 10 and 15 light fixtures, the cost is decreasing.

b) Now we have the interval [20, 25], so let's do the same ting:

c(20) = 0.25*20^2 - 10*20 + 800 = 700

c(25) = 0.25*25^2  - 10*25 + 800 = 706.25

Here the average rate of change is:

R = (706.25 - 700)/(25 - 20) = 1.25

It is positive, which means that the cost is increasing.

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Answer:

\( x = \pm\sqrt{y + 12}\)

Step-by-step explanation:

\(y = {x}^{2} - 12 \\ y + 12 = {x}^{2} \\ \pm\sqrt{y + 12} = x \\ x = \pm\sqrt{y + 12} \\ is \: the \: required \: inverse \: function\)

The inverse of the function is given by y = ± √( x² - 12 )

The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Given data ,

Let the function be represented as A

Now , the value of A is

y = x² - 12   be equation (1)

On simplifying , we get

To calculate the inverse of the function ,

Interchange the value of x with y , we get

x = y² - 12

On solving for y , we get

y² = x + 12

Taking square roots on both sides , we get

y = ± √( x² - 12 )

Hence , the inverse of the function is y = ± √( x² - 12 )

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Answer:

correct

Step-by-step explanation:

The probability that Julien samples an equal number of real and fake gold coins from the random sample of four is approximately 0.463.

To calculate this probability, we can consider two cases: sampling from Treasure Chest A and sampling from Treasure Chest B.

For Treasure Chest A:

The probability of sampling an equal number of real and fake coins can be calculated using combinations. Out of the 15 gold coins in Treasure Chest A, 40% are real and 60% are fake. The probability of selecting 2 real and 2 fake coins can be calculated as (0.4^2) * (0.6^2) * (4 choose 2).

For Treasure Chest B:

The probability of sampling an equal number of real and fake coins can be calculated in a similar way. Out of the 8 gold coins in Treasure Chest B, 75% are real and 25% are fake. The probability of selecting 2 real and 2 fake coins can be calculated as (0.75^2) * (0.25^2) * (4 choose 2).

Finally, we can add the probabilities of the two cases together to get the overall probability is approximately 0.463.

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Answer:

16,384

Step-by-step explanation:

262,144/4^2

The statement “there exists a function f such that f(x) < 0, f’(x) > 0, and f”(x) < 0 for all x” is false.

To understand why this statement is false, we must first understand what the symbols mean. The symbol f(x) refers to a function of x, and the symbols f’(x) and f”(x) refer to the first and second derivatives of the function, respectively.

The statement is saying that for all x, the function f(x) will be less than 0, the first derivative f’(x) will be greater than 0, and the second derivative f”(x) will be less than 0.

To show that this statement is false, we need to find an example of a function where this is not the case. Let’s consider the function f(x) = x³. At x = 0, this function is equal to 0, and so f(x) < 0 is not true. Additionally, the first derivative at x = 0 is f’(0) = 0, which is not greater than 0. Thus, the statement is false.

We can also show that this statement is false by looking at the graph of the function f(x). A function with the properties given in the statement would have a graph that looks like a “U” shape, with a minimum point at the origin. However, this is not the case for the function f(x) = x³. The graph of this function is a parabola, which does not have the desired shape.

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Answer:

.770

Step-by-step explanation:

Answer:

l = 194999.45

Step-by-step explanation:

I'm going to assume that you meant 3.14 by 3,14.

336,765 = 3.14 × 0.55 × (l + 0.55)

336,765 ÷ (3.14 × 0.55) = l + 0.55

(336,765 ÷ (3.14 × 0.55)) - 0.55 = l

l = 194999.45

Answer:

the answer is 6

Step-by-step explanation:

just had that question and got it right.

Answer:

Step-by-step explanation:

P(A|B)=P(A)

conditioning on one does not effect the probability of the other as they are independent

Answer:

(-4)

Step-by-step explanation:

i believe that the answer

Answer:

answer is 7950

Step-by-step explanation:

compund interest=7950

Step-by-step explanation:

#44 y = 180-122 = 58

x = (180-58)/2 = 61

The set of integers is not closed under the operation of division because when an integer is divided by another, the results are not limited to only integers i.e. zero and decimals are possibilities

Integers are numbers without decimal points

When integers are divided, the possible results are:

The decimal and the zero possibilities imply that the set of integers is not closed under the operation of division

This is so because when an integer is divided by another, the results are not limited to only integers i.e. zero and decimals are possibilities

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At least 10 students must be graded to guarantee that at least five students will get the same grade at the end of the semester.

If there are 10 students, then each grade can only be given to a maximum of 2 students.Therefore, the minimum number of students that must be graded to guarantee at least 5 students with the same grade is 10.In order to guarantee that at least five students will get the same grade at the end of the semester, at least 10 students must be graded. This is because there are 5 possible grades (A, B, C, D, F) and if there are 10 students, then each grade can only be given to a maximum of 2 students. Therefore, in order to guarantee at least 5 students with the same grade, the minimum number of students that must be graded is 10. This is because any fewer than 10 students would not guarantee that any one grade could be given to at least 5 students. Additionally, any more than 10 students would not necessarily guarantee that any one grade could be given to at least 5 students, so 10 is the minimum number needed to guarantee that at least 5 students will get the same grade at the end of the semester.

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Answer:

The correct answer is option B.  17

Step-by-step explanation:

It is given that, ZX bisects ∠WZY. If the measure of ∠YXZ is (6m – 12)°

To find the value of m

From the figure we can see that, triangle WYZ is an isosceles  triangle.

ZW = ZY

Then <YXZ = <WXZ = 90°

It is given ∠YXZ  = (6m – 12)°

(6m – 12)° =  90°

6m = 90 + 12  = 102

m = 102/6 = 17

Therefore the value of m = 17

The correct answer is option B.  17

Answer:

its 17. so B

Step-by-step explanation:

just did it

Hope this helps, have a nice day!!

Answer:-6

Step-by-step explanation:

18=9x(n+8) so if "n" = -7 then -6+8 is 2, and 2x9 is 18

Answer:

29. D

30. A

31. C

32. B

33. A

Step-by-step explanation:

Answer:

2x+2z-y

Step-by-step explanation:

You distribute the 2 to the parenthesis. Then you get 2x+2z-y.

Answer:

2x−y+2z

Step-by-step explanation:

2(x + z) - y

2(x) (2) (z) - y

2x−y+2z

Answer:

$6,760

Step-by-step explanation:

With $10.50 per hour and 40 hour weeks.

$10.50 * 40 = $420

So Linda made $420 a week and with 52 weeks in a year.

$420 * 52 = $21,840

She made $21,840 annually at her old job.

With a bi-weekly salary she makes $1,100 every 2 weeks.

There are 52 weeks in a year, so divide that by 2 to get 26 bi-weeks thus 26 pay periods a year.

$1,100 * 26 = $28,600

or divide $1,100 in half ($1,100 / 2 = $550)

$550 * 52 = $28,600

Now find the difference by subtracting the new pay rate by the old one. (Subtract the old from the new one, if you prefer that phrasing.)

$28,600 - $21,840 = $6,760

So Linda's new job pays $6,760 more than her old one.

From the given table it is visible that the value of s(5)=4.2

When the variables and constants in a mathematical expression are given values, the outcome of the computation it describes is the expression's value. The amount that the function assumes for these argument values is the value of a function, given the value(s) assigned to its argument(s).

functions with return values and arguments. Functions with arguments and no return values.... This function takes arguments and returns a value.

functions with return values and no arguments.

without return values and without arguments

Function value can mean: The result of applying a function to an argument in mathematics. a closure in computer science.

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Answer:

you have to subtract 3y and then you do the same on the other side, then you end up with two numbers where you divide them and that will be your result

Step-by-step explanation:

Answer:

(2, 3 )

Step-by-step explanation:

Given the 2 equations

x + 4y = 14 → (1)

3x + 3y = 15 → (2)

Multiplying (1) by - 3 and adding to (2) will eliminate the x- term

- 3x - 12y = - 42 → (3)

Add (2) and (3) term by term to eliminate x, that is

0 - 9y = - 27

- 9y = - 27 ( divide both sides by - 9 )

y = 3

Substitute y = 3 into either of the 2 equations and solve for x

Substituting into (1)

x + 4(3) = 14

x + 12 = 14 ( subtract 12 from both sides )

x = 2

solution is (2, 3 )

Answer:

x+y

Step-by-step explanation:

#boys+#girls=#children

Answer:

Step-by-step explanation:

Complete the following statement. Use the integers that are closest to the number in the middle.

< –80