Help me please please please please​

Answer:

This inequality is true when x<8

The powers, (index) and coefficients of the polynomial indicates;

(A) The standard form is; 2·x⁴ + 3·x³ + 9·x² - 12·x + 6

(B) 4

(C) Positive zeroes; 2 or 0, negative zeroes; 0 or 2, complex zeroes; 0 or 2 or 4

(D) ±1/2, ±1, ±3/2, ±2, ±3, ±6

(E) Please find attached the graph of the polynomial created with MS Excel

(F) Four complex roots

A polynomial is a mathematical expression that consists of variables and coefficients joined together by addition, subtraction and multiplication, with the exponents of the variables consisting of positive integer values.

Part A) The polynomial in standard form is; 2·x⁴ + 3·x³ + 9·x² - 12·x + 6

Part B) The degree of the polynomial is 4, as the highest power of the polynomial is 4

Part C) The use of the Rule of Signs, to determine the options for the number of positive zeroes, negative zeroes and complex zeroes, can be presented as follows;

Positive zeroes options; The number of time the signs coefficients of the expression; 2·x⁴ + 3·x³ + 9·x² - 12·x + 6, changes are two as follows;

+6 to -12, and from -12 to +9, therefore, the number of possible positive zeroes are 2 or 0, positive zeroes

The negative zeroes options; The negative zeroes options can be found by changing the sign of all the coefficients as follows; -2·x⁴ - 3·x³ - 9·x² + 12·x - 6, therefore, the number of times the sign of the coefficients change are again from -6 to +12, and from +12 to -9, which is 2 times, therefore;

The possible number of negative zeros are 2 or 0, negative zeroes

Whereby there are possibly 0 negative zeros and 0 positive zeroes, the possible number of complex zeroes are 4

Whereby there are 2 negative zeros and 0 positive zeroes, the possible number of complex zeroes are 2 complex zeroes

Whereby there are possibly 0 negative zeros and 2 positive zeroes, the possible number of complex zeroes are 2 complex zeroes

Part D) The rational roots theorem indicates that for a polynomial the rational roots are in the form p/q, where p is a factor of the constant term, and q is a factor of the leading coefficient.

The constant term is 6, and the leading coefficient is 2. The factors of 6 are ±1, ±2, ±3, and ±6 and the factors of 2 are; ±1, ±2 therefore;

p/q = ±1/1, ±2/1, ±3/1, ±6/1, ±1/2, ±2/2, ±3/2, ±6/2, which can be summarized as; ±1/2, ±1, ±3/2, ±2, ±3, ±6

Part E) Please find attached a screenshot of the graph of the polynomial created with MS Excel

Part F) The attached graph of the polynomial, created with MS Excel, indicates that there are no real zeros of the polynomial, therefore, there are four complex zeroes of the polynomial

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If you take the answer, 2786 and multiple by 21

You get 58,506

Which if you subtract from 58,511 you would get 5

Which is r

Answer:

58.05% probability that at least 1 of the students is a senior.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the captains are chosen is not important. So we use the combinations formula to solve this question.

Combinations formula:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question:

Either no seniors are captain, or at least one is. The sum of these probabilities is 100%. The easier way to solve this question is finding the probability of no seniors being captain, and subtratcing 100 from this. So

Probability of no seniors being captain:

Desired outcomes:

Four captains, from a set of 18 + 18 + 15 = 51. So

\(D = C_{51,4} = \frac{51!}{4!(51-4)!} = 249900\)

Total outcomes:

Four captains from a set of 18 + 18 + 15 + 12 = 63. So

\(T = C_{63,4} = \frac{63!}{4!(63-4)!} = 595665\)

Probability:

\(p = \frac{D}{T} = \frac{249900}{595665} = 0.4195\)

41.95% probability of no seniors being captains.

Find the probability that at least 1 of the students is a senior.

p + 41.95 = 100

p = 58.05

58.05% probability that at least 1 of the students is a senior.

Answer:

-5.99

-3

-6

-5.9

-1

-5.999

-5

2

Step-by-step explanation:

All these numbers are greater (or equal to) -6 because they are closer to 0

Answer:

14.4 there sorry for the wait

The least common denominator of 8/( x²+11x+28 ) and -2/ (x^2+4x) is (x+4).

We have to find the least common denominator of 8/x²+11x+28 and -2/x^2+4x. We can solve this problem by following a few steps.

The denominator of both terms is, x²+11x+28 and x²+4x.

First of all, we have to find the factors of these two terms.

Let's find the factors of x²+11x+28.

x²+11x+28 = x²+11x+28

Or, x²+11x+28 = x²+ 4x+ 7x+ 28        [ we have to break the middle term in such a way as the product of consecutive terms must be 28 ]

Or, x²+11x+28 = x (x+4) +7 (x-4)        [ we have to take ( x+ 4) as acommon ]    

Or, x²+11x+28 = ( x+4 )( x+7 ).................(1)

Now find the factors of x²+4x.

x²+4x = x (x+4)..................(2)          [ We have to take x as a common ]

Therefore, the common term between (1) and (2) is ( x+4 ). So, the least common denominator is ( x+4 ).

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Answer:

22.82

Step-by-step explanation:

can u plz mark me as brainliest??

Answer:

22.82

Step-by-step explanation:

3.1*1.4 = 4.34

27.16-4.34 = 22.82

[edited, I messed up the order of operations before, sorry]

The required area of the washer is  8πr - 16π square millimeter.

A =  π r², where r is the circle's radius, is the formula for calculating a circle's surface area. The square unit, such as m², cm², in², etc., is the unit of area.

Circle Area Formulas;

Area is equal to  π r², where r stands for radius.

Area is equal to ( π /4) d², where d stands for diameter.

Area is equal to C²/4 π  where C stands for circumference.

The area of a washer with outer radius "r" and inner radius "r-4" can be found as follows:

Area = π * (outer radius² - inner radius²)

= π * (r² - (r-4)²)

= π * (r² - r² + 8r - 16)

= 8πr - 16π square millimeter.

Thus, required area  of washer is 8πr - 16π,Option(B) is correct.

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The total surface area of the figure is 315π square feet, or approximately 988.8 square feet if we use a value of 3.14 for π.

Given information:

The cylinder is sitting on the base of the cone.

The diameter of the base is 14 feet.

The slant height of the cone is 9 feet and the height of the cylinder is 11 feet.

To find the total surface area of the figure, we need to find the surface area of the cone and the surface area of the cylinder and add them together.

The surface area of the cone:

The radius of the cone is half of the diameter, which is 7 feet.

The lateral surface area of the cone can be found using the formula:

L = πrs, where r is the radius and s is the slant height.

L = π(7)(9) = 63π square feet

The base of the cone is a circle with a radius of 7 feet, so its area is:

A = πr² = π(7²) = 49π square feet

The surface area of a cylinder:

The radius of the cylinder is also 7 feet since it shares the same base as the cone.

The lateral surface area of the cylinder is:

L = 2πrh, where r is the radius and h is the height.

L = 2π(7)(11) = 154π square feet

The base of the cylinder is another circle with a radius of 7 feet, so its area is:

A = πr² = π(7²) = 49π square feet

Total surface area:

Adding the lateral surface area and the base area of the cone and cylinder, we get:

63π + 49π + 154π + 49π = 315π square feet

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Answer:

327.08 m/s

Step-by-step explanation:

Given that:

Length of pipe = 2.96m

4th harmonic frequency = 221 Hz

Speed of wave in the horn :

Speed of wave (v) = fλ

For 4th harmonic :

Wavelength, λ = (2/4)L

λ = L/2 ; 2λ = L

2λ = 2.96

λ = 2.96 / 2

λ = 1.48 m

Hence, speed of wave in the horn = 221 * 1.48 = 327.08 m/s

Answer:

v = 3

Step-by-step explanation:

You can start by distributing -2:

-2v - 2 = 3v -17

Next, add 2v to both sides to combine the v terms:

-2v - 2 = 3v - 17

+2v        +2v

-2 = 5v - 17

To isolate the v term, we add 17 to both sides:

-2 = 5v - 17

+17       +17

15 = 5v

Lastly, divide by 5 to get v:

15 = 5v

÷ 5    ÷5

3 = v --> v = 3

Answer:5x because ie d ecaied d

The probability that a randomly selected study's participant was less than 4 is 0.2266.

Given that:

mean = 5.8

standard deviation = 2.4

a) P(x < 4) = P[(x - mean ) /sd < (4 - 5.8) / 2.4]

= P(z < -0.75)

Using z table,

= 0.2266

b) P(4 < x < 6) = P[(4 - 5.8)/ 2.4) < (x - \m ) /sd < (6 - 5.8) / 2.4) ]

= P(-0.75 < z < 0.08)

= P(z < 0.08) - P(z < -0.75 )

Using z table,

= 0.5319 - 0.2266

= 0.3053

c) P(x > 8) = 1 - p( x< 8)

=1- p P[(x - \m ) / sd< (8 - 5.8) / 2.4]

=1- P(z < 0.92)

Using z table,

= 1 - 0.8212

= 0.1788

Lastly, there are no unusual events because all the probabilities are greater than 0.05.

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The inverse function \(f^{-1}(x)\) is such that

\(f\left(f^{-1}(x)\right) = x\)

If \(f(x)=-\frac34x+9\), then we have

\(f\left(f^{-1}(x)\right) = -\dfrac34f^{-1}(x)+9 = x\)

Solve for the inverse :

\(-\dfrac34f^{-1}(x)+9 = x \\\\ -\dfrac34f^{-1}(x) = x-9 \\\\ f^{-1}(x) = -\dfrac43(x-9) \\\\ \boxed{f^{-1}(x) = -\dfrac43x+12}\)

Answer: it is (c)

i hope this helped :)

Answer:

Correct answers are Marci's monthly payment: $227.30, and total finance charge: $455.20.

Step-by-step explanation:

24 months (2 years)

$45.46 x 5 = $227.30

$227.30 x 24 = $5,455.20

$5,455.20 - $5,000 = $455.20

The population is the number of children in gymnastic class = 5.

A parameter is the mean number of steps taken by the 5 children.

What is a parameter?

Four parameters, referred to as hybrid or h Parameters, can be used to assess any linear circuit with input and output terminals. These parameters are one measured in ohm, one in mho, and two dimensionless. Hybrid is short for "mixed." These parameters are referred to as hybrid parameters since they have dual dimensions

Here, we have

Given that,

Suppose that there are 5 children in a gymnastics class.

One day, they count the number of steps each person takes while walking on their hands until they lose balance and come down.

The mean number of steps these children took while walking on their hands is 20 steps.

We have to find the population and parameters.

The area of interest is a particular gymnastic class, therefore all individuals or children belonging to this particular gymnastic class make up the population.

Population = number of children in gymnastic class = 5.

Parameter = mean number of steps taken by the 5 children.

Hence, Population is the number of children in gymnastic class = 5.

A parameter is the mean number of steps taken by the 5 children.

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Answer:

8

Step-by-step explanation:

Substitute the values in the expression, we have:

\(\displaystyle{|-1-3|+4}\)

Evaluate:

\(\displaystyle{|-4|+4}\)

Any real numbers in the absolute sign will always be evaluated as positive values. Thus:

\(\displaystyle{|-4|+4 = 4+4}\\\\\displaystyle{=8}\)

Hence, the answer is 8. A quick note that z-value is not used due to lack of z-term in the expression.

Answer:

$68

Step-by-step explanation:

=> 20% 0f 340

=> (20/100) * 340

=> (1/5) * 340

=> (340/5) = 68

Sarah spends $68 dollar on transportation.

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Answer:

-6

Step-by-step explanation:

3+7=10

10-6=4

so 3+7-6=+4

hope this helps

Answer:

6

Step-by-step explanation:

= means the same as

3+7 = 10

therefore 4 + ?=10

10-4=6

therefore the missing number is 6

=6

For the given median, there are 50 students who scored greater than 72.

What is median?

The median is a measure of central tendency in a set of numerical data. It is the value that separates the higher half of the data from the lower half when the data is arranged in order from least to greatest or greatest to least.

We are given that 99 6th graders took a test and the median score was 72. We want to find out how many students scored greater than 72.

Let the scores be denoted by S1, S2, ..., S99. We can sort these scores in order from least to greatest:

S1 ≤ S2 ≤ ... ≤ S99

Since the median score is 72, exactly half of the scores are above 72 and half are below 72. Thus, the 50th score in the sorted list is 72.

Since there are 99 scores in total, we can approximate the number of students who scored above 72 by dividing the total number of students by 2:

\($\frac{99}{2} = 49.5$$\)

This means that approximately 49.5 students scored above 72.

Since 0.5 rounds up to 1, we round 49.5 up to 50. Therefore, approximately 50 students scored greater than 72.

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Answer:

t and u are supplementary as opposite angles of a cyclic quadrilateral.

t = 180 - (81 + 53) = 46

u = 180 - t = 180 - 46 = 134

v and w are equal as opposite angles to equal sides.

v = w = 1/2(180 - u) = 1/2(180 - 134) = 23

Step-by-step explanation:

Answer:

The domain of exponential functions is all real numbers. The range is all real numbers greater than zero. The line y = 0 is a horizontal asymptote for all exponential functions. When a > 1: as x increases, the exponential function increases, and as x decreases, the function decreases.

Based on the given conditions, the lock solution is 205.

To solve the lock, to calculate the total score based on the given conditions:

Crocus: + 20

Daffodil: + 25

Snowflake: - 50

Tulip: + 30

Bird-Red: + 25, else + 10

Calculating the scores for each input:

TULIP: +30

CROCUS: +20

DAFFODIL: +25

TULIP: +30

DAFFODIL: +25

TULIP: +30

DAFFODIL: +25

CROCUS: +20

Total score = 30 + 20 + 25 + 30 + 25 + 30 + 25 + 20 = 205

Therefore, the solution for the lock is 205.

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Image transcribed:

SPRING NOW LOADING.

<IF CROCUS, THEN +20>

<IF DAFFODIL, THEN +25>

<IF SNOWFLAKE, THEN -50>

<IF TULIP, THEN +30>

<IF BIRD-RED, THEN +25, ELSE + 10>

TULIP

CROCUS

DAFFODIL

TULIP

DAFFODIL

TULIP

DAFFODIL

CROCUS

Solve Lock

Using the number line to find the coordinate of P that represents the weighted average of the set of points we see that the value of 6 represents the weighted average of the coordinates.

The ordinary arithmetic mean is comparable to a weighted arithmetic mean. The primary difference between the two is that the weighted arithmetic mean takes into account the fact that not all of the data points contribute the same amount to the overall average; rather, some data points contribute more than others.

Generally, the equation for Average weight is mathematically given as

\(Av=\frac{ (3 * 2 + 8 * 3)}{(2 + 3)}\)

Consider the quotient in question.

Average weight = 6

As a direct result of this, the value 6 was determined to be the weighted average of the coordinates.

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Answer:

Step-by-step explanation:

*a is 6:55

*b is 37

*c is 15:12