what is the degree of the function f(x)=x⁴-5x+8+x²?​

Answer:

The slope of a line passing through two points (x1, y1) and (x2, y2) can be calculated using the formula:

slope = (y2 - y1) / (x2 - x1)

Using the given points, we have:

(x1, y1) = (9, 4)

(x2, y2) = (3, 9)

Therefore, the slope of the line passing through these points is:

slope = (9 - 4) / (3 - 9) = 5 / (-6) = -5/6

So, the slope of the line passing through the points (9, 4) and (3, 9) is -5/6.

Answer:

3/19

Step-by-step explanation:

A box contains 20 balls: 10 are yellow , 6 are red and 4 are grey.

P(yellow) = yellow balls / total balls

         = 10/20 = 1/2

Now there are only  19 balls: 9 are yellow , 6 are red and 4 are grey.

P(red) = red balls/ total

          =6/19

Multiply the two probabilites together

P(yellow) * P(red) = 1/2 * 6/19 = 3/19

Step-by-step explanation:

12.1 in the length of D and angle c equal to 31 degree

The set containing the zeros of the graphed function h(x) is given as follows:

{-1, 2}.

The zeros of a function are the values of the input x for which the output y of the function assumes a value of y.

Hence, on the graph of a function, the zeros of a function are the values of x for which the graph either touches or crosses the x-axis.

From the graph, the zeros are given as follows:

x = -1 and x = 2.

Meaning that the set is {-1, 2}, and the first option is correct.

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Answer:

probably 4 times since it is not 100% accurate I guess

\(\boxed{\boxed{\pink{\bf The \ two \ numbers \ are \ 12 \& \ 85 . }}}\)

Given that , One number is 1 more than 7 times the other number. If their sum is 73 more than

twice the smaller number. And we need to find the numbers. So let us take the

\(\underline{\red{\boldsymbol{ According \ to \ the \ Question :- }}}\)

\(\bf\implies 2( Small \ no.) + 73 = Bigger \ no. + Smaller \ no.\\\\\bf\implies 2x + 73 = x + 7x + 1\\\\\bf\implies 2x + 73 = 8x + 1 \\\\\bf\implies 8x - 2x = 73-1 \\\\\bf\implies 6x = 72 \\\\\bf\implies x =\dfrac{72}{6} \\\\\bf\implies \boxed{\red{\bf x = 12 }}\)

Hence the smaller number is 12 and the bigger number will be :-

\(\bf \implies Number_{bigger} = 7x + 1 \\\\\bf\implies Number_{bigger} =7(12)+1\\\\\bf\implies Number_{bigger} = 84 + 1 \\\\\bf\implies \boxed{\red{\bf Number_{bigger}=85 }}\)

Step-by-step explanation:

let us say the number: x

7x+1=y

x+y=73+2x

y-73=2x-x

y-73=x or

x=y-73

then, 7x+1=y

x=y-73

then after,we'll substitute

7x+1=y

7(y-73)+1=y

7y-511+1=y

7y-510=y

7y-y=510

6y=510

y=510/6

y=85

x=y-73

x=85-73

x=12

Therefore y=85 & x=12

Answer:

Solution is the missing word.

Step-by-step explanation:

Answer:

Solution

Step-by-step explanation:

In statistical experiments, each time the experiment is repeated, a different outcome may occur. The correct answer is C.

Statistical experiments involve random processes, such as the random selection of individuals from a population, the random assignment of subjects to groups, or the random measurement of a variable.

The outcome of a statistical experiment is influenced by chance and is inherently uncertain, so it is not possible to guarantee that the same outcome will occur every time the experiment is repeated. Different outcomes may occur, even if the experimental conditions are kept constant, due to the random nature of the processes involved.

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The type of sample that a store prints a request on each receipt asking customers to fill out a satisfaction survey online if they are willing is a voluntary response sample.

In the statistics world, a voluntary response sample is a research sample that relies on individual self-selection. This is in opposition to random sampling, in which the samples are gathered in a way that ensures everyone in a particular population has an equal chance of being chosen. This method of self-selection is also known as self-selection bias or sampling bias.Voluntary response samples are subject to a variety of flaws. The responses may not be representative of the population as a whole, and they may be skewed by numerous factors, such as which individuals are most likely to volunteer, how these volunteers differ from the population as a whole, and how the survey questions are phrased.The results of a voluntary response survey may be useful in generating hypotheses or gaining a general sense of how individuals feel about a particular subject. However, they are not reliable enough to draw any conclusions or to be taken seriously in the scientific sense.

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Considering the definition of an inequality, an inequality that represent the possible values for the number of hotdogs purchased and the number of drinks purchased is \(\bold{4.50h + 3d \leq 70}\).

An inequality is the existing inequality between two algebraic expressions, connected through the signs:

An inequality contains one or more unknown values, in addition to certain known data.

In this case, you know that:

Each hotdog costs $4.50 and each drink costs $3.

Mamadou has a total of $70 to spend on hotdogs and drinks.

Being:

the inequality that expresses the previous relationship is

\(\bold{4.50h + 3d \leq 70}\)

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The inequality that represents the possible values for the number of hotdogs and drinks purchased is 4.50ℎ + 3d ≤ 70.

To write an inequality that represents the possible values for the number of hotdogs purchased, ℎ h, and the number of drinks purchased, �, we can use the following equation:

4.50ℎ + 3d ≤ 70

This inequality states that the sum of the cost of the hotdogs (4.50 multiplied by the number of hotdogs) and the cost of the drinks (3 multiplied by the number of drinks) should be less than or equal to 70, which is the total amount of money Mamadou has to spend.

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The equation of the function is y = 10 * sin(x/2pi) + 5.

What is the sinusoidal function?

The period of a sinusoidal function is the time it takes for the sinusoidal function to complete one cycle of revolution.

The graph of a sinusoidal function can be represented by the equation:

y = A * sin(B(x - C)) + D

where A is the amplitude, B is the frequency, C is the horizontal shift, and D is the vertical shift.

From the information given, we know that the maximum point is at (0,5) and the minimum point is at (2pi,-5). We can use this information to find the values of A, B, C, and D.

The amplitude is the distance between the maximum and minimum points. In this case, it is 5 - (-5) = 10. So A = 10.

The period of the function is the distance between two consecutive maximum or minimum points. In this case, it is 2π.

So the frequency is 1/2π.

The horizontal shift is the amount by which the function is shifted along the x-axis. In this case, the maximum point is at x = 0, so the function is not shifted horizontally. So C = 0.

The vertical shift is the amount by which the function is shifted along the y-axis. In this case, the maximum point is at y = 5, so the function is shifted upward by 5. So D = 5.

So the equation of the function is:

y = 10 * sin(1/2pi (x - 0)) + 5

y = 10 * sin(x/2pi) + 5

where x is entered in radians.

Hence, the equation of the function is y = 10 * sin(x/2pi) + 5.

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We have the following function

Where x is the number of days and f(x) is the corresponding rent.

The domain is all the possible values for x (number of days )

Now we know that you cannot rent for a fractional number of days or negative number of days so option D is straight away incorrect since real numbers also include integers and rational numbers.

The number of possible days must be discrete like 0, 1, 2, 3 and so on

So, option B makes complete sense for the domain of this function.

The domain of the function is

Note that option A (x ≥ 0) suggests that the numbers of days may also be decimal like 0.15, 1.23 etc. so it is also incorrect.

Also, option C is the range of the function that is possible values of rent f(x) so it is also incorrect.

Answer:

(6,-8) or(-6,8)

Step-by-step explanation:

sobtract either a from b or b from a

Answer:

DONT ASK ME

Step-by-step explanation:

The number of nonnegative integer solutions to the inequality x1 + x2 + x3 ≤ 11 is C(14,3) = 364.

We can solve this inequality by introducing an auxiliary variable x4, such that x1 + x2 + x3 + x4 = 11. Here, x1, x2, x3, and x4 are all nonnegative integers.

We can interpret this equation as follows: imagine we have 11 identical objects and we want to distribute them among four boxes (x1, x2, x3, and x4). Each box can contain any number of objects, including zero. The number of solutions to this equation will give us the number of nonnegative integer solutions to the original inequality.

We can use a technique known as stars and bars to count the number of solutions to this equation. Imagine we represent the 11 objects as stars: ***********.

We can then place three bars to divide the stars into four groups, each group representing one of the variables x1, x2, x3, and x4. For example, if we place the first bar after the first star, the second bar after the third star, and the third bar after the fifth star, we get the following arrangement:

| ** | * | ****

This arrangement corresponds to the solution x1=1, x2=2, x3=1, and x4=7. Notice that the number of stars to the left of the first bar gives the value of x1, the number of stars between the first and second bars gives the value of x2, and so on.

We can place the bars in any order, so we need to count the number of ways to arrange three bars among 14 positions (11 stars and 3 bars). This is equivalent to choosing 3 positions out of 14 to place the bars, which can be done in C(14,3) ways.

Therefore, the number of nonnegative integer solutions to the inequality x1 + x2 + x3 ≤ 11 is C(14,3) = 364.

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Answer:

7⁵

Step-by-step explanation:

An exponent indicates how many times a number multplies itself.

Examples:

2² = 2* 2

2⁴ = 2 * 2 * 2 * 2

Answer:

5m+3 =3m

Step-by-step explanation:

−6(t − 8) = 12

-6((6) -8) =12

5m+3=3m

5m-3m=3

2m=3

2(6)≠3

t + 5 = 11

(6) + 5 = 11

9 = 2x − 3

2x = 9+3

2(6) = 12

Answer:

17%

Step-by-step explanation:

5 out of 30 is 17%

5/30 = 5 ÷ 30 = .16.  rounds to .17 =17%

Answer:

"what are angles"

Step-by-step explanation:

En la geometría euclidiana, un ángulo es la figura formada por dos rayos, llamados lados del ángulo, que comparten un punto final común, llamado vértice del ángulo. Los ángulos formados por dos rayos se encuentran en el plano que contiene los rayos. Los ángulos también se forman por la intersección de dos planos. Estos se llaman ángulos diedros

The probability of the word MATH being found in one of the two piles is approximately 0.0000242, which is a very small probability.

This is a probability question that requires a bit of combinatorics. There are 26 letters in the alphabet, and they are separated into two equal piles, each containing 13 letters.

To calculate the probability of the word MATH being found in one of the piles, we need to first determine the number of ways that the letters can be arranged in each pile.

For the first pile, there are 13 letters to choose from, so we have 13 choices for the first letter, 12 choices for the second letter, 11 choices for the third letter, and 10 choices for the fourth letter.

This gives us a total of 13 x 12 x 11 x 10 = 15,120 possible arrangements.

The same is true for the second pile, so we have a total of 15,120 x 15,120 = 228,614,400 possible arrangements for the two piles combined.

To calculate the probability of the word MATH being found in one of the piles, we need to determine how many of these arrangements contain the letters M, A, T, and H in the same pile.

To do this, we can fix the position of the first letter, which must be one of the letters in MATH.

There are four choices for this letter. We can then fix the position of the second letter, which must be one of the remaining three letters in MATH. There are three choices for this letter.

We can then fix the positions of the remaining two letters, which must be two of the 22 remaining letters in the pile. There are 22 x 21 = 462 possible arrangements for these two letters.

Multiplying these choices together gives us a total of 4 x 3 x 462 = 5,544 possible arrangements that contain the letters M, A, T, and H in the same pile.

Finally, we can calculate the probability of the word MATH being found in one of the piles by dividing the number of arrangements that contain the letters M, A, T, and H in the same pile by the total number of possible arrangements. This gives us:

Probability = 5,544 / 228,614,400 = 0.0000242

So the probability of the word MATH being found in one of the two piles is approximately 0.0000242, which is a very small probability.

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Answer:

12

Step-by-step explanation:

Ppopp

groceries has a higher population mean annual credit card charge

What is population mean?

A population is the complete set group of individuals, whether that group comprises a nation or a group of people with a common characteristic. In statistics, a population is the pool of individuals from which a statistical sample is drawn for a study.

The population mean can be calculated by the sum of all values in the given data/population divided by a total number of values in the given data/population.

Given that Bank of America’s Consumer Spending Survey collected data on annual credit card  charges in seven different categories of expenditures: transportation, groceries, dining out,  household expenses, home furnishings, apparel, and entertainment (US Airways Attache,  December 2003).

Sample size n =42

Mean difference d = 850

Std dev s = 1125

Point estimate of the difference is 0

95% confidence level would be

= 0A ± tcritical * stderrror

=  A ± 2.021*173.59

= (-350.83 , 350.83)

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Answer:

B

Step-by-step explanation:

Trust me but don't mind this uzfhfzhzlxkxufxxigdho

Answer:

23

Step-by-step explanation:

The given sequence is:

7, 28, 112, 448...........

From the sequence above:

The first value, a = 7

The common ratio, r = 28/7 = 112/28 = 448/112

r = 4

Since there is a common ratio of r = 4, the sequence is a geometric sequence that has the formula:

The symbolic representation is pUq

Symbolic representation is defined as the representation of a principal, a nation for example, through a symbol, such as a flag, that evokes particular meanings and emotions about the nation

Papa Smurf is green or the Snorks use clams as money

let's suppose p = Papa Smurf is green

or q = Snorks use clams as money

here and logic is used in between Papa Smurf being green or the Snorks using clams as money

Or logic is represented by "U".

pUq will be the correct answer.

NOTE- a symbolic representation of Or is  U.

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The quintic binomial among the given polynomials is option a: \(3x^5 + 2\).

Let's go through the options in more detail to identify the quintic binomial:

a. \(3x^5 + 2\): This is a quintic polynomial because it has a degree of 5, which means the highest exponent is 5. It is a binomial because it consists of two terms, \(3x^5\) and 2. Therefore, option a is a quintic binomial.

b. \(x^4 + 2x^3 - x^2 + 7x + 11\): This polynomial is not a quintic binomial because its degree is 4, which means the highest exponent is 4. Additionally, it has more than two terms, so it is not a binomial.

c. \(x^2 + 4x\): This polynomial is not a quintic binomial because its degree is 2, which means the highest exponent is 2. Additionally, it has more than two terms, so it is not a binomial.

d. \(5x^2 - 2x + 1\): This polynomial is not a quintic binomial because its degree is 2, which means the highest exponent is 2. Additionally, it has more than two terms, so it is not a binomial.

Therefore, the polynomial that is a quintic binomial is option a: \(3x^5 + 2\).

Complete Question:

Which polynomial is a quintic binomial?

a. \(3x^5 + 2\)
b. \(x^4 + 2x^3 -x^2 + 7x + 11\)

c. \(x^2 + 4x\)

d. \(5x^2 -2x + 1\)

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Answer:

3 classmates will get some kiwi

Step-by-step explanation: