Help please. I don't have long lol

We are given a function y = -4x^3 - 9x^11, and we need to find its first and second derivatives.

To find the first derivative, we apply the power rule and the constant multiple rule. The power rule states that the derivative of x^n is nx^(n-1), and the constant multiple rule states that the derivative of kf(x) is k*f'(x), where k is a constant. Applying these rules, we can find the first derivative of y = -4x^3 - 9x^11.

Taking the derivative term by term, the first derivative of -4x^3 is -43x^(3-1) = -12x^2, and the first derivative of -9x^11 is -911x^(11-1) = -99x^10. So, the first derivative of y is dy/dx = -12x^2 - 99x^10.

To find the second derivative, we apply the same rules to the first derivative. Taking the derivative of -12x^2, we get -122x^(2-1) = -24x, and the derivative of -99x^10 is -9910x^(10-1) = -990x^9. Therefore, the second derivative of y is d^2y/dx^2 = -24x - 990x^9.

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a) The function gof is gof(x) = 3x + 3.

b) The function gof: RR is well-defined.

a. The value of function gof(x) = 3x + 3.

To find the composition gof, we substitute the expression for g into f:

gof(x) = f(g(x))

= f(x + 1)

= 3(x + 1)

= 3x + 3

b. To prove that gof is both one-to-one and onto, we need to show the following:

(i) One-to-one: For any two different inputs x1 and x2, if gof(x1) = gof(x2), then x1 = x2.

(ii) Onto: For every y in the range of gof, there exists an x such that gof(x) = y.

Proof of one-to-one:

Let x1 and x2 be two different inputs. Assume that gof(x1) = gof(x2).

Then, 3x1 + 3 = 3x2 + 3.

Subtracting 3 from both sides, we have 3x1 = 3x2.

Dividing both sides by 3, we obtain x1 = x2.

Therefore, gof is one-to-one.

Proof of onto:

Let y be any real number in the range of gof, which is the set of all real numbers.

We need to find an x such that gof(x) = y.

Consider the equation 3x + 3 = y.

Subtracting 3 from both sides, we have 3x = y - 3.

Dividing both sides by 3, we obtain x = (y - 3)/3.

Thus, for any y in the range of gof, we can find an x such that gof(x) = y.

Therefore, gof is onto.

Since gof is both one-to-one and onto, it is a bijection.

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Answer:

5

Step-by-step explanation:

What is 20 percent of 25? = 5.

Answer:

5

Step-by-step explanation:

(20%/100%) ×25

=5

Yep.. That's the correct answer

Answer:

The total cost is $850

Step-by-step explanation:

From the function

C = 2T + 250

where

T is the number of T-shirts they purchase.

If the the shop purchases 300 T-shirts, then it means

T = 300

substituting into the function, we have

C = 2(300) + 250

C = 600 + 250

c = $850

The value of quadratic function is,

⇒ y = 9x² + 54x - 63

An algebraic equation with the second degree of the variable is called an Quadratic equation.

We have to given that;

The equation is,

⇒ y = 9 (x - 1) (x + 7)

Now, We can find the quadratic equation as;

⇒ y = 9 (x - 1) (x + 7)

⇒ y = 9 (x² + 7x - x - 7)

⇒ y = 9 (x² + 6x - 7)

⇒ y = 9x² + 54x - 63

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Answer:

.06

Step-by-step explanation:

.9 is the tenths, .06 is the hundredths, .005 is the thousandths, .0002 is the ten thousandths.

Answer:

6

Step-by-step explanation:

The hundreths place is the second spot behind the decimal point, so it would be 6.

The origin in rectangular coordinates coincides with the pole (or origin) in polar coordinates.The positive x-axis in rectangular coordinates coincides with the polar axis (also known as the polar ray or polar axis of rotation) in polar coordinates.

In polar coordinates, a point is defined by its distance from the pole (called the radius or r) and its angle from the positive x-axis (called the azimuthal angle or theta).

The polar axis is a reference line in polar coordinates that extends from the pole in the direction of the positive x-axis in rectangular coordinates.

The relationship between rectangular and polar coordinates allows for the conversion of points between these two systems. To convert a point from rectangular to polar coordinates, the distance from the origin (r) can be calculated using the Pythagorean theorem, where r = sqrt(x^2 + y^2), and the angle (theta) can be found using trigonometric functions such as atan2(y, x).

Conversely, to convert a point from polar to rectangular coordinates, the x-coordinate can be obtained by multiplying the radius (r) by the cosine of the angle (theta), and the y-coordinate can be found by multiplying the radius (r) by the sine of the angle (theta).

It is important to understand the relationship between rectangular and polar coordinates as they provide alternative ways of representing points in a two-dimensional space, each with its own advantages and applications.

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The greatest common factor (GCF) of 15 and 10ms² is 5.

The greatest common factor (GCF) is the largest number or term that evenly divides two or more numbers or expressions. In mathematics, the largest positive integer that divides each of the integers is known as the greatest common divisor of two or more integers that are not all equal to zero.

In this case, we have the numbers 15 and 10ms². The GCF of 15 and 10ms² is 5, as it is the largest number that divides both expressions evenly.

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Answer:

opposite operation

Step-by-step explanation:

divide 35 by 5 so x=7

The inverse function of f is f⁻¹(x) = 1/3x² + 3 and g(x) is not an inverse of f(x)

From the question, we have the following equations that can be used in our computation:

f(x) = √(3x − 9)

g(x) = 3x² − 9.

To determine the inverse function of f, we start by making the function f(x) as an equation

So, we have

y = √(3x − 9)

Swap variables x and y

x = √(3y − 9)

Square both sides

This gives

3y - 9 = x²

So, we have

3y = x² + 9

Divide both sides by 3

y = 1/3x² + 3

So, we have

f⁻¹(x) = 1/3x² + 3

In (a), we have

Inverse of f(x), f⁻¹(x) = 1/3x² + 3

Also, we have

g(x) = 3x² − 9

Both equations when compared, are not equal

Hence, the functions are not inverse functions

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Complete question

f(x) = √(3x − 9) g(x) = 3x² − 9.

(a) What is the inverse of function f ?

(b) Is f an inverse of g? Show your work algebraically and explain your answer

20 ounces

Step-by-step explanation:

no exceptions

Answer:

462 paths from A to B

Step-by-step explanation:

The question is incomplete. However, a possible question is to determine the number of possible paths on the grid map.

The first step is to represent the grid map itself. (See attachment 1)

From the question, we understand that:

There are a several number of ways to navigate through. However, one possible way is in attachment 2

In attachment 2,

And we have:

\(R = 5\)     and    \(U = 6\)

The number of possible paths (N) is then calculated as:

\(N = \frac{(N + U)!}{N!U!}\)

Substitute values for N and U

\(N = \frac{(5 + 6)!}{5!6!}\)

\(N = \frac{11!}{5!6!}\)

\(N = \frac{39916800}{120 * 720}\)

\(N = \frac{39916800}{86400}\)

\(N = 462\)

Hence, there are 462 possible paths from A to B

Answer:

x= -2

Step-by-step explanation:

3x-2=-8 <---- add by 2

3x= -6  <---- divide by 3

x= -2

Answer:

since 7 and 11 are both rational, the sum and difference are rational

Step-by-step explanation:

did it on edge

Since 7 and 11 are both rational, the sum and difference are rational.

The answer is option A.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

A system of equations is a collection of two or more equations with the same set of unknowns. In solving a system of equations, we try to find values for each of the unknowns that will satisfy every equation in the system.

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Answer:

The answer is B

Step-by-step explanation:

Answer:

Let me check real quick

Step-by-step explanation:

The complete statement is no matter what the value of s, √s² is equal to the absolute value of s?

The statement is given as:

No matter what the value of s, √s² is equal to the ______ value of s?

The above statement can be split as follows:

This means that, irrespective of the value of s, what would be the value of the square root of the square of s.

Assume that s is negative (say s = -2), the value of the square root of the square of s would be

√s² = √(-2)²

Evaluate the square

√s² = √4

Evaluate the square root

√s² = 2

See that s = 2 is the positive equivalent or absolute value of s = -2

Now, assume that s is positive (say s = 4), the value of the square root of the square of s would be

√s² = √4²

Evaluate the square

√s² = √16

Evaluate the square root

√s² = 4

See that s = 4 is the positive equivalent or absolute value of s = 4

Hence, the complete statement is no matter what the value of s, √s² is equal to the absolute value of s?

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Complete question

No matter what the value of s, √s² is equal to the ______ value of s?

Lee Jenkins worked the following hours as a manager for a local Pizza Hut 5 4/1​, 9 4/3​, 7 4/3​ and 8 4/3​.

Now, the above-mentioned hours are not in the proper form that we are required to calculate. Therefore, we need to change them into the proper format .In order to add these hours, we must first convert the hours and minutes to the same format.

We'll need to convert each fraction to a common denominator of 3x3=9.  5 4/1​ in the mixed format is 5 + 4/1,
which is equal to 9. 9 4/3 in the mixed format is 9 + 4/3,
which is equal to 10 1/3.7 4/3​ in the mixed format is 7 + 4/3,

which is equal to 8 1/3.8 4/3​ in the mixed format is 8 + 4/3,
which is equal to 9 1/3.Now that we've converted the times,

we can add them together to get a total of 36 1/3 hours.

Therefore, Lee worked for 36 1/3 hours. the total number of hours Lee worked as a manager for the local Pizza Hut is 36 1/3 hours.

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Answer:

Find the upper base of this trapezoid:

15 + (5 + 5)

where 15 = the upper base of the rectangle

and 5 = the legs of the triangles

Solve:

15 + 5 + 5

= 25, is the length of the upper base.

The length below this trapezoid is already given, 15.

Now we find the hypotenuse of one triangle and double it, since there's two triangles that consist of the same lengths.

Using the Pythagoras theorem;

c^2 = a^2 + b^2

c^2 = 3^2 + 5^2

c^2 = 9 + 25

c^2 = 34

√34 = 5.83, is the hypotenuse of one triangle, two triangles is;

5.83 x 2 = 11.66, are the hypotenuse's of both triangles.

Now we add up all the lengths:-

25 + 15 + 11.66

= 51.66 cm

Answer:

What u need help on

Step-by-step explanation:

Nothing is here hello.

Answer:

The equation formed: 3.5 x 6 = x

Kenny's speed: 3.5m/h

Distance covered by her in 6 hours: 3.5x6 =

18.0

Answer:

20 and a half

Step-by-step explanation:

10 plus 10 plus the half equals 10 and a half

You need to mix 60 liters of the 40% alcohol solution with 60 liters of the 60% solution to get a 50% solution.

Let's solve the problem step by step:

Step 1: Define the variables:

Let x be the number of liters of the 40% alcohol solution that needs to be mixed.

Step 2: Write the equation based on the alcohol content:

In the final mixture, the amount of alcohol from the 40% solution and the amount of alcohol from the 60% solution should be equal.

Alcohol from the 40% solution + Alcohol from the 60% solution = Total alcohol in the mixture

0.40x + 0.60(60) = 0.50(x + 60)

Step 3: Solve the equation for x:

0.40x + 0.60(60) = 0.50x + 0.50(60)

0.40x + 36 = 0.50x + 30

0.10x = 6

x = 6 / 0.10

x = 60

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The linear function that models the relationship between the number of hours and the cost of renting a canoe is Cost = 25 + 5 * Number of Hours.

To write a linear function that models the relationship between the number of hours and the cost of renting a canoe, we need the specific information about the rate of cost per hour.

Let's assume that the cost of renting a canoe is $25 for the first hour and increases by $5 for each additional hour. In this case, the linear function can be written as:

Cost = 25 + 5 * Number of Hours

Here, the number of hours represents the independent variable, and the cost represents the dependent variable. The initial cost of $25 is added, and then $5 is multiplied by the number of additional hours to account for the increase in cost.

For example, if you want to find the cost of renting a canoe for 3 hours, you can substitute the number of hours into the function:

Cost = 25 + 5 * 3 = 25 + 15 = $40

Therefore, the linear function that models the relationship between the number of hours and the cost of renting a canoe is Cost = 25 + 5 * Number of Hours.

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The statement "if the dot product of two nonzero vectors is zero, the vectors must be perpendicular to each other" is true. The dot product of two vectors is zero if and only if the vectors are perpendicular.

The dot product of two vectors is defined as the product of their magnitudes and the cosine of the angle between them. When the dot product is zero, it means that the cosine of the angle between the vectors is zero, which occurs when the vectors are perpendicular.

In other words, the dot product being zero indicates that the vectors are at a 90-degree angle to each other, supporting the statement that they are perpendicular.

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Answer:

the answer is b on plato

Step-by-step explanation

:

The age of the male sea turtle will be 215 years old.

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

You meet two talking sea turtles. The sum of their ages is 388. The male turtle is 42 years older than the female.

Let x be the age of a male and y be the age of a female. Then the equations will be

x + y = 388       ...1

x = y + 42         ...2

From equations 1 and 2, then we have

y + 42 + y = 388

2y = 346

y = 173 years old

Then the value of x will be

x = 173 + 42

x = 215 years old

The age of the male sea turtle will be 215 years old.

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Answer:

7/12 chances of it being red

Step-by-step explanation:

Hope this helped! :)

Answer:

1.5 or about 1 or 2 maybe

hope this helpd

Answer:

Step-by-step explanation:

2