If f ( x ) = 3 x + 2 and g ( x ) = x 2 − x , find the value. f ( 4 )

The main answer to your question is that the monomial function Y = -6X⁵ has a maximum value.

To find the maximum value of a monomial function, we need to look at the degree of the function.

The degree of a monomial function is the highest power of the variable in the function. In this case, the degrees of the given functions are:
- Y = -6X⁵ (degree 5)
- Y = -5X⁰ (degree 0)
- Y = -5X⁵ (degree 5)
- Y = -6X⁵ (degree 5)
Since the degree of Y = -6X⁵ is the highest among the given functions, it means that this function has the steepest slope and therefore has a maximum value.

Summary: The monomial function Y = -6X⁵ has a maximum value because it has the highest degree among the given functions.

Learn more about monomial click here:

https://brainly.com/question/2279092

#SPJ11

Answer:K=-4

Step-by-step explanation:

kx+8=x-7

when x =3

then, 3k+8=3-7

      3k=-8-4

      3k=-12

        k= -4

The value of k that makes x = 3 a solution of the equation kx + 8 = x - 7 is k = -4.

To find the value of k that makes x = 3 a solution of the equation kx + 8 = x - 7, you can substitute 3 for x in the equation and solve for k.

Substituting 3 for x gives:

k(3) + 8 = 3 - 7

This simplifies to:

3k + 8 = -4

Then, you can subtract 8 from both sides of the equation to isolate the k term:

3k + 8 - 8 = -4 - 8

3k = -12

Finally, you can divide both sides of the equation by 3 to solve for k:

(3k)/3 = (-12)/3

k = -4

Therefore, the value of k that makes x = 3 a solution of the equation kx + 8 = x - 7 is k = -4.

To learn more about linear equations,

https://brainly.com/question/14323743

When the department had planned to pay each member $25 per hour then the actual number of hours worked by the department members is 4347 hours (rounding down from 4347.2).

The fire department had expected to spend $100,000 in April but ended up spending $108,680.

Additionally, the department had planned to pay each member $25 per hour.

In this scenario, we will calculate the total number of hours worked by the members of the department in order to analyze the discrepancy between the expected and actual expenses.

To calculate the total number of hours worked, we can divide the actual expenditure by the planned hourly rate.

Let's denote the total number of hours worked as "h."

From the given information, we can set up the equation:

$25/hour * h = $108,680

Simplifying the equation, we find:

h = $108,680 / $25/hour

h ≈ 4347.2 hours

This means that the members of the fire department worked approximately 4347.2 hours in the month of April.

However, since the total number of hours worked cannot be a fraction, we can assume that the actual number of hours worked by the department members is 4347 hours (rounding down from 4347.2).

The difference between the expected and actual expenses can be attributed to various factors such as overtime, unforeseen circumstances, or additional expenses incurred during that period.

It is important for the fire department to analyze these discrepancies to better manage their budget and make more accurate financial projections in the future.

Learn more about Equation here:

https://brainly.com/question/29018878

#SPJ11

The statement "Flexible exchange rates ..." is incomplete, and without further clarification, it is uncertain to determine whether it is true or false. A complete statement is required to provide a clear context for discussing the nature and implications of flexible exchange rates.

Flexible exchange rates refer to a system in which currency exchange rates are determined by market forces, such as supply and demand. Under this system, exchange rates fluctuate freely based on various economic factors, including inflation rates, interest rates, trade balances, and investor sentiment.

Flexible exchange rates offer advantages such as the ability to adjust to changing economic conditions and promote trade balance adjustments. They can also help absorb external shocks and enhance monetary policy autonomy. However, they may also introduce volatility and uncertainty in international trade and investment. To assess the accuracy of the statement, additional information or context is needed.

To learn more about Flexible exchange rates: -brainly.com/question/29618048

#SPJ11

Answer:

-15

Step-by-step explanation:

df(x, y) / dy = lim (f(x, y+h) - f(x, y)) / h =

lim (e^x^2 - 15y - 15h - e^x^2 ‐ 15y) / h = lim -15h / h = -15

so, the first derivative of f(x,y) by y is simply a constant : -15

fy (x, y) = -15 for any and every values of x and y.

the fast track would be derivative calculation :

the derivative by y makes x a constant. and every constant is eliminated for derivation.

so, e^x^2 goes away (= 0 in the derivative).

that leaves -15y = -15×y¹. its derivative simply is

1×-15×y⁰ = -15

Answer:

(-2, 32, -21)

Step-by-step explanation:

You just multiply B by 3 and then subtract the corresponding parts. For example -2 -(0*3). and then 14-(-6*3)

Answer:

its answer a :)

Step-by-step explanation:

875/23 = 38.04, round down to get 38

Answer:

The function is

\(f(x)=0.5x^3-3x^2+5.5x-2\)

The graph is attached.

Step-by-step explanation:

We have a function g(x) and we need to graph a new function that is function of g(x).

The final function is

\(f(x)=0.5\cdot g(x-2)+1\)

We start by calculating g(x-2):

\(g(x-2)=(x-2)^3-(x-2)\\\\g(x-2)=(x^3-6x^2+12x-8)-(x-2)\\\\g(x-2)=x^3-6x^2+11x-6\)

Then, we can calculate f(x) as:

\(f(x)=0.5\cdot g(x-2)+1\\\\g(x-2)=x^3-6x^2+11x-6\\\\\\f(x)=0.5(x^3-6x^2+11x-6)+1\\\\f(x)=0.5x^3-3x^2+5.5x-3+1\\\\\\f(x)=0.5x^3-3x^2+5.5x-2\)

Answer:

7/5

Step-by-step explanation:

add the fractions

Answer:

what are the answer choices?

Answer:

5=3 bedmas

Step-by-step explanation:

It should be noted that the value that is equal to the expression 6c²d/2d is 3c².

it is important to note that an expression is simply used to show the relationship between the variables that are provided or the data given regarding an information.

In this case, it is vital to note that they have at least two terms which have to be related by through an operator. Some of the mathematical operations that are illustrated in this case include addition, subtraction, etc.

6c²d/2d = (6/2) * (c²d/d)

= 3 * c²

= 3c²

Therefore, the simplified expression is 3c².

Learn more about expressions on;

https://brainly.com/question/1859113

#SPJ1

By using  the sum or difference formula of cosine to solve cos(525°) we get cos(525°) = -0.465

The formula to find the value of cos(A ± B) is given as,

cos(A + B) = cosA cosB − sinA sinBcos(A − B) = cosA cosB + sinA sinB

Here, A = 450° and B = 75°

We can write 525° as the sum of 450° and 75°.

Therefore,cos(525°) = cos(450° + 75°)

Now, we can apply the formula for cos(A + B) and solve it.

cos(A + B) = cosA cosB − sinA sinBcos(450° + 75°) = cos450° cos75° − sin450° sin75°= 0.707 × 0.259 − 0.707 × 0.966= -0.465

Substituting the values in the above equation, we get

cos(525°) = 0.707 × 0.259 − 0.707 × 0.966= -0.465

Thus, cos(525°) = -0.465.

To know more about cosine visit:

brainly.com/question/29114352

#SPJ11

Answer:

nope, this is not a function!

Step-by-step explanation:

a function is where each input corresponds to one output.

in the diagram, -3 corresponds to -2, 0, and 2.

this is not a function.

Answer:

x = 8

Step-by-step explanation:

The angles shown are vertical angles

Vertical angles are congruent (equal to each other)

This means that 8x + 36 = 5x + 60

Using this equation we can solve for x

8x + 36 = 5x + 60  

==> subtract 36 from both sides

8x = 5x + 24

==> subtract 5x from both sides

3x = 24

==> divide both sides by 3

x = 8

Answer:

8x + 36 = 5x + 60

8x = 5x + 24

3x = 24

x = 8

Answer:

B) x = √118 mi

Step-by-step explanation:

This is a right triangle, so we can the measure of x using the Pythagorean theorem, which is

a^2 + b^2 = c^2, where

Step 1:  Plug in x and √26 for a and b and 12 for c and simplify:

x^2 + (√26)^2 = 12^2

x^2 + 26 = 144

Step 2:  Subtract 26 from both sides to isolate x^2:

(x^2 + 26 = 144) - 26

x^2 = 118

Step 3:  Take the square root of both sides to isolate x:

√(x^2) = √118

x = √118 mi

The system of equations can be used to determine the solution. If the snack stand sold double as many hamburgers as hotdogs and made 121.50, 9 hot dogs were sold.

To determine the number of hot dogs sold at a snack stand, we can set up a system of equations based on the given information.

Let's assume the number of hot dogs sold is x and the number of hamburgers sold is 2x (since hamburgers were sold at double the quantity of hot dogs). The revenue from selling hot dogs can be calculated as 3.50x, and the revenue from selling hamburgers can be calculated as 5.00(2x) = 10.00x.

Since the total revenue is $121.50, we can set up the equation 3.50x + 10.00x = 121.50. Combining like terms, we have 13.50x = 121.50. Dividing both sides by 13.50, we find x = 9. Therefore, 9 hot dogs were sold.

Learn more about system of equations here:

https://brainly.com/question/20067450

#SPJ11

Answer:24

Step-by-step explanation:

Since the numbers in the middle are 21 and 27, you add both and divide by 2 to get the number in the middle of those 2.

Answer:

24

Step-by-step explanation:

it is the median in the set.

So, the probability of winning the game by rolling a total of 2 or 5 with two fair number cubes is 1/9.

The probability of winning the game on your next turn by rolling a total of 2 or 5 with two fair number cubes is 1/9.

To calculate the probability of winning, we need to determine the number of favorable outcomes (rolling a total of 2 or 5) and divide it by the total number of possible outcomes when rolling two number cubes.

There are 36 possible outcomes when rolling two number cubes since each cube has 6 faces, resulting in 6 * 6 = 36 total outcomes.

Out of these 36 outcomes, there are three favorable outcomes: (1, 1), (1, 4), and (4, 1), where the sum of the numbers rolled is either 2 or 5.

Therefore, the probability of winning the game on your next turn is 3 favorable outcomes out of 36 possible outcomes, which simplifies to 1/12.

So, the probability of winning the game by rolling a total of 2 or 5 with two fair number cubes is 1/9.

To know more about probability click here

brainly.com/question/15124899

#SPJ11

The derivative of the secant function , with respect to x is equal to the product of "secant x" and "tangent x" .

The Secant function is written as : Sec(x) ;

We use the quotient rule of differentiation to find the derivative of secant function .

First we write the secant function in terms of sine and cosine ;

⇒ sec(x) = 1/cos(x) ;

Then, by taking derivative with respect to "x" using the quotient rule,

We get ;

⇒ d/dx(sec(x)) = (-1/cos²(x)) × (-sin(x)) = sin(x)/cos²(x) = tan(x).sec(x) ;

By using the identity of sec(x) = 1/cos(x), we can rewrite the above equation as ;

⇒ d/dx(sec(x)) = sec(x) × tan(x) .

Therefore , derivative of (sec(x)) ⇒ sec(x) × tan(x) .

Learn more about Derivative here

https://brainly.com/question/25324584

#SPJ4

The percentage of the students at the university which are foreign are 25% by conditional probability formula.

According to the question,  10% of all college students are foreign students who also smoke and it is also known that 40% of all foreign college students smoke.

We use the conditional probability formula to solve this question.

Let foreign students be denoted as F

Let students smoking be denoted as S

We know that 10% of all college students are foreign students who also smoke this means

P(F ∩ S) = 0.1

and 40% of all foreign college students smoke which means

P(S/F) = 0.4

So, the percentage of the students at this university who are foreign can be calculated as  

\(P(F) = \frac{0.1}{0.4}\) = 0.25

To know more about probability

https://brainly.com/question/24107596

#SPJ4

The equation of the line, in point-slope form, that passes through (1, -2) and has a slope of 4 is expressed as: y + 2 = 4(x - 1).

The equation of a line in point-slope form is often expressed in the form of y - b = m(x - a), where a point is given as (a, b), and the slope of the line is represented as m.

Given the following:

A point on the line (a, b) = (1, -2)

The slope of the line (m) = 4

To write the equation of the line in point-slope form, substitute m = 4, a = 1, and b = -2 into y - b = m(x - a):

y - (-2) = 4(x - 1)

y + 2 = 4(x - 1) [equation of the line in point-slope form]

Learn more about point-slope form on:

https://brainly.com/question/24907633

#SPJ1

Step-by-step explanation:

I only do synthetic division

Probability helps us to know the chances of an event occurring. The probability distribution of a girl child being born can be drawn as given below.

The probability helps us to know the chances of an event occurring.

\(\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}\)

As it is given to us that the possible genders of the children,

S = {BB, BG, GB, GG},

And we know that the probability of a girl child can be found using the formula of probability, now, finding the probability of the girl child,

A.) The probability that there is no girl child born,

\(\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}\\\\\)

\(\rm P(X=0)=\dfrac{\text{Outcomes in which no girl child is born}}{\text{All the possible values}}\)

\(\rm P(X=0)=\dfrac{1}{4} = 0.25\)

B.) The probability that there is one girl child is born,

\(\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}\\\\\)

\(\rm P(X=1)=\dfrac{\text{Outcomes in which one girl child is born}}{\text{All the possible values}}\)

\(\rm P(X=1)=\dfrac{2}{4} = 0.5\)

C.) The probability that there is two girl child is born,

\(\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}\\\\\)

\(\rm P(X=2)=\dfrac{\text{Outcomes in which two girl child is born}}{\text{All the possible values}}\)

\(\rm P(X=2)=\dfrac{1}{4} = 0.25\)

The probability distribution of a girl child being born can be drawn as given below.

Learn more about Probability:

https://brainly.com/question/795909

Answer:A

Step-by-step explanation:

is there a picture to the leaf

Answer:

Hope this is correct

True. If the set of vectors U is linearly independent in a subspace S, it means that no vector in U can be written as a linear combination of the others. Therefore, removing any vector from U will not affect its linear independence and will still form a basis for S.

False. In order for three nonzero vectors to form a basis for R3, they need to be linearly independent and span the entire space. However, if the three vectors lie in a plane, they cannot span R3 because they are confined to a two-dimensional subspace.

False. If the set of vectors U is already linearly independent in a subspace S, adding more vectors to U will not change its linear independence. The basis for S can be formed using the original linearly independent vectors.

To know more about vectors visit:

https://brainly.com/question/24256726

#SPJ11

Step-by-step explanation:

(18+12√5)(9-6√5)

18(9-6√5)+12√5(9-6√5)

162-108√5+108√5-360

162-360

-198

hope this helps you.

Tashi is correct. The dilation was an enlargement. The rule (6/5x, 6/5y) indicates that the figure was dilated by a factor of 6/5. Since this is greater than 1, the figure was enlarged.

Dilation is a geometric transformation that changes the size of an object. In a dilation, the size of the object increases or decreases by a scale factor, which is a number greater than 0. Dilation is a type of transformation in which the original figure is expanded or contracted, but the shape is not changed. Dilation can be used to enlarge or reduce an object, or to find the scale factor of two objects. This transformation can also be used to solve problems such as finding the area or perimeter of a figure.

To learn more about dilation
https://brainly.com/question/29634913
#SPJ1

The budgets of Hong Kong, the United States of America, and Korea differ in contents, formats, advantages, and disadvantages. While each budget has its strengths and weaknesses, they all aim to provide a clear and transparent financial plan for their respective countries.

A budget is a financial plan that estimates expected income and expenditure for a specific period. It may include income, expenses, debts, and savings. Budgets may vary from country to country and can be analyzed by comparing their contents, formats, advantages, and disadvantages. Here are the budgets of Hong Kong, the United States of America, and Korea:

United States Budget:

Korean Budget:

Learn more about Budget:

https://brainly.com/question/26894404

#SPJ11