Three roots of a fifth degree polynomial function f(x) are –2, 2, and 4 + i. Which statement describes the number and nature of all roots for this function?

Answer:

x=3,−13

Step-by-step explanation:

Here it is (i typed it on another doc)

The linear equations are x + y = 20 and 5.25x + 7.75y = 140. Then the number of child tickets is 6 and the number of adult tickets is 14.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

The Pixar Movie Theatre is getting ready to debut the new movie Star Wars: Rogue One.

Felicia’s mom is buying tickets for Felicia’s entire family and must take the following guidelines into consideration.

Each adult and child ticket has a different price value.

Felicia’s mom bought a total of 20 tickets for the family.

Each child ticket costs $5.25 and each adult ticket costs $7.75.

Felicia’s mom spent a total of $140 on all of the tickets.

Let c be the number of child tickets and a be the number of adult tickets. Then we have

c + a = 20 ...1

5.25c + 7.75a = 140 ...2

By solving the equations 1 and 2, we have

c = 6 and a = 14

The number of child tickets is 6 and the number of adult tickets is 14.

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ANSWER

EXPLANATION

The problem represents a geometric progression.

The general form of a geometric sequence is:

where a = first term

r = common ratio

The first term from the table is the first price (for the first month). That is $80.00

To find the common ratio, we divide a term by its preceeding term.

Let us divide the price of the second month from the first.

We have:

The price after the 8th month is the value of a(n) when n = 8

So, we have that:

Answer:

9.42.

Step-by-step explanation:

If you have 3.14 × 3 You would put it over as an equation.

3.14

× 3

----------

9.42 is final answer.

The standard deviation of the sampling distribution of X is approximately 0.0704.

The standard deviation of the sampling distribution of X can be calculated using the formula:

\(\sigma = \sqrt{((p * (1 - p)) / n)}\)

Where:

σ is the standard deviation of the sampling distribution of X

p is the proportion of voters that would vote for the incumbent (46% or 0.46)

n is the sample size (50)

Plugging in the values:

\(\sigma = \sqrt{((0.46 * (1 - 0.46)) / 50)} \\\sigma = \sqrt{(0.2484 / 50)} \\\sigma = \sqrt{(0.004968)} \\\sigma = 0.0704\)

The standard deviation of the sampling distribution of X is approximately 0.0704.

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After evaluating the given integral \(/2 2 cot?x dx /3\), We got  \(ln(sin(2)/sin(2/3)).\). To evaluate the integral, we can use the substitution method. Let u = sin x, then du/dx = cos x and dx = du/cos x.

Substituting u and dx into the integral, we get: ∫c\(ot(x)dx = ∫cot(x)cos(x)du/sin(x) = ∫du/u = ln|u| + C\). Substituting back u = sin x, we get: \(ln|sin(x)| + C\). To evaluate the definite integral from 2/3 to 2, we simply substitute these limits into the antiderivative: \(ln|sin(2)| - ln|sin(2/3)|\)

Using the logarithmic identity \(ln(a) - ln(b) = ln(a/b)\), we can simplify this expression to: \(ln(sin(2)/sin(2/3))\). Therefore, the value of the definite integral from 2/3 to 2 of cot(x) dx is \(ln(sin(2)/sin(2/3)).\)

The definite integral from 2/3 to 2 of cot(x) dx is \(ln(sin(2)/sin(2/3)).\)

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Answer:

y = 47

Step-by-step explanation:

All of the angles in a triangle must add up to 180. The angle marked 3y can help us find the missing angle of the triangle: 180-3y
Then you can make an equation to help solve for y:
50 + (2y-3) + (180-3y) = 180
Combine like terms:
227-y=180
y = 47

\(\quad \huge \quad \quad \boxed{ \tt \:Answer }\)

\(\qquad \tt \rightarrow \: y=47 \degree\)

____________________________________

\( \large \tt Solution \: : \)

\(\qquad \tt \rightarrow \:(2y - 3) + 50 = 3y\)

\(\qquad \tt \rightarrow \:2y - 3 + 50 - 3y = 0\)

\(\qquad \tt \rightarrow \:2y - 3y + 47 = 0\)

\(\qquad \tt \rightarrow \: - y = - 47\)

\(\qquad \tt \rightarrow \:y = 47 \degree\)

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

The cost of renting a community center for x guest is given as y = 10x + 100

An equation is an expression that shows the relationship between two or more variables and numbers.

The standard linear equation is in the form:

y = mx + b

Where m is the rate of change and b is the y intercept.

Let y represent the cost of renting a community center for x guest. Hence:

y = 10x + 100

The cost of renting a community center for x guest is given as y = 10x + 100

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Answer: divide by 35

Answer:

68

Step-by-step explanation:

Divide 2,380 by 35

It would by 68.

68 x 35 = 2,380

Todd use to save $500 in less than 16 weeks and have $20 extra in Plan C.

In plan A,

    Plans for saving = $500

  Amount of saving each week = $20

∴ Number of weeks needed to make goal = (500 ÷ 20) (by using division)

                                                                       = 25

In plan B,

    Plans for saving = $500

   Amount of saving each week = $30

∴ Number of weeks needed to make goal = (500 ÷ 30) (by using division)

                                                                       = 17

In plan C,

    Plans for saving = $500

   Amount of saving each week = $40

∴ Number of weeks needed to make goal = (500 ÷ 40) (by using division)

                                                                       = 13

In plan D,

    Plans for saving = $500

   Amount of saving each week = $50

∴ Number of weeks needed to make goal = (500 ÷ 50) (by using division)

                                                                       = 10

So, Todd use to save $500 in less than 16 weeks and have $20 extra in Plan C.

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Price M paid for the goods is $12

Profit is the amount of money earned by selling a product at a price higher than its cost. Loss, in contrast, is the amount lost when an item is sold for less than its cost.

Given,

M sells goods to N at profit of 15%

N sells goods to P at loss of 5%

P pays $13.11 for the goods

Let M pays x for the goods

then,

N pays for goods

= x + 15x/100

= x + 0.15x

= 1.15x

P pays for goods

13.11 = 1.15x - 1.15x×5/100

13.11 = 1.15x(1 - 0.05)

13.11 = 1.15x(0.95)

x = 13.11/1.0925

x = 12

Hence, $12 is price, M paid for the goods.

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The equation of a line in point slope form is y - y₁ = m(x - x₁) and the equation of a line in slope intercept form is y = mx + b.

The equation of a line can be represented in different form such as point slope form, slope intercept form, general form and standard form.

The equation of a line in point slope form is as follows:

y - y₁ = m(x - x₁)

where

The equation of a line in slope intercept form is as follows:

y = mx + b

where

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Answer:

f(x) = 2(x –3)²

Step-by-step explanation:

f(x) = 2x² – 12x + 18

The vertex form of the above expression can be obtained as follow:

f(x) = 2x² – 12x + 18

Factorise

f(x) = 2(x² – 6x + 9)

Next, we shall simplify x² – 6x + 9 by factorisation method.

This is illustrated below:

x² – 6x + 9

Multiply the first term i.e x² and last term i.e 9 together. The result is 9x².

Next, find two factors of 9x² such that their sum will result to the 2nd term i.e –6x in the expression above.

The factors are –3x and –3x

Next, replace –6x with –3x and –3x in the equation above as shown below:

x² – 6x + 9

x² – 3x –3x + 9

Factorise

x(x – 3) –3(x –3)

(x –3)(x –3)

(x –3)²

f(x) = 2x² – 12x + 18

f(x) = 2(x² – 6x + 9)

f(x) = 2(x –3)²

Therefore, the vertex form of the function f(x) = 2x² – 12x + 18 is

f(x) = 2(x –3)²

Answer:

4.95x + 3.5y = 21.85

Step-by-step explanation:

x represents the greens, and y represents the beef bites.

The height of the candle after 7 hours is 20.9 centimeters.

Given that the height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning, we can find the equation of the linear function from the given information.

The given information can be tabulated as follows:

Time (hours)Height (centimeters)

After 5 hours 20.5 After 22 hours15.4

Let the height of the candle after x hours be y. Since the height of the candle is a linear function of the amount of time, we can use the slope-intercept form of the equation of a line to find the equation of the linear function, which is given by y = mx + b, where m is the slope and b is the y-intercept.

The slope of the line is given by \(m = (y₂ - y₁) / (x₂ - x₁)\)

Using the values of (x₁, y₁) = (5, 20.5) and

(x₂, y₂) = (22, 15.4),

we get m = (15.4 - 20.5) / (22 - 5)

= -5.1 / 17 = -0.3

Therefore, the equation of the line is y = -0.3x + b

Substituting the values of (x, y) = (5, 20.5),

we get

20.5 = -0.3(5) + b

=> b = 20.5 + 1.5 = 22

Substituting the values of m = -0.3 and b = 22 in the equation of the line, y = -0.3x + 22

Therefore, the height of the candle after 7 hours isy = -0.3x + 22

Substituting x = 7, we gety = -0.3(7) + 22= 20.9

Therefore, the height of the candle after 7 hours is 20.9 centimeters.

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Answer:

\(=\frac{4x+12}{7y-28}\)

Step-by-step explanation:

Four times a number (let's call this x) is added to twelve. In other words, this is:

\(4x+12\)

Now, this entire thing is divided by seven times a different number (let's use y) minus twenty-eight. So:

\((4x+12)\div (7y-28)\)

Let's put it into a fraction to simplify. Remember that dividing something by something else is the same as putting it over fraction. Thus:

\(=\frac{4x+12}{7y-28}\)

And we're done!

Answer:

12 + 4x

7y - 28

Step-by-step explanation:

Here we have 4 times a number is added to 12. So let's say that number is "x". Now we have 4x plus the 12 to get 4x + 12 And that is divided by 7 times a different number minus 8.

So 7 times a different number "y" is the same as 7y and put in that minus 28 to get 7y - 28 and don't forget the dividing!

It'll end up being;

12 + 4x

7y - 28

Hope this helps and have a great day!

Answer:

2 x (8 + 3)

Step-by-step explanation:

b) 16 + 6 = 2 x (8 + 3)

=> 22 = 2(11)

=> 22 = 22

Therefore, 2 x (8 + 3) is your answer.

The number of bicycle  store needs to sell each month to break even is, 55

An equation is a mathematical term, which indicates that the value of two algebraic expressions are equal. There are various parts of an equation which are, coefficients, variables, constants, terms, operators, expressions, and equal to sign.

For example, 3x+2y=0.

Types of equation

1. Linear Equation

2. Quadratic Equation

3. Cubic Equation

Given that,

A bicycle store costs ​$3850 per month to operate

The store pays an average of ​$75 per bike

The average selling price of each bicycle is ​$145

The number of sells to break even = ?

Suppose, the number of sales is x

So, it can be written as,

For break even condition

75x + 3850 = 145x

145x - 75x  = 3850

70x = 3850

    x = 3850/70

    x =  55

Hence, the number of sales is 55

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Answer:

(x+3)(x+1)(x-4)

Step-by-step explanation:

Answer:

i can give you tuturing 1 on 1 if you give me brainliest

Step-by-step explanation:

30*4 =120 +50

30*9=270+50

There are approximately over 60 million shipping containers in the world. Containers are stacked and arranged in these ports, creating an impressive sight and highlighting the scale of global trade.

Shipping containers are standardized metal boxes used for transporting goods by sea, rail, or road. They come in various sizes, including 20-foot and 40-foot lengths. These containers have revolutionized global trade, allowing for efficient and secure transportation of goods across long distances. While exact numbers are challenging to determine due to factors such as container movement and usage, estimates suggest that there are over 60 million shipping containers worldwide. This vast quantity of containers enables the global economy to function smoothly by facilitating the movement of goods between countries and continents.

The extensive use of shipping containers has led to the establishment of container ports and specialized container ships that can accommodate large numbers of containers.Moreover, repurposing shipping containers for alternative uses, such as modular homes or pop-up shops, has gained popularity in recent years, demonstrating the versatility and durability of these units.

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What is the question?

If there is a 'b' variable, switch it out with 3, so ex; 8b would then be 8(3), or 8*3. Same thing with h. If there is an 'a' variable, then you have to get everything gone but the variable. If you send over the question I can help

The probability of Kayla scoring above 70% on exactly three out of the four tests is 8.64%.

Probability

Given that the probability Kayla will score above 70% on a mathematics test is 0.60, and Kayla will take four tests this semester, and we want to find the probability she will score above 70% on exactly three out of the four tests, to determine what is the probability of Kayla scoring above 70% on exactly three out of the four tests, the following calculation must be performed:

0.6 x 0.6 x 0.6 x 0.4 = X

0.216 x 0.4 = X

0.0864 = X

0.0864 x 100 = 8.64

Therefore, the probability of Kayla scoring above 70% on exactly three out of the four tests is 8.64%.

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Use pythogorean theorem xd

answer 1) sqrt((15.25)^2-(2.75)^2)

etc. and so on

Answer:

1. 15

2. 47.8

3. 5√185

4. 34

Step-by-step explanation:

Answer:

3+x=y

x=2/y=5

6+x=y

x=1/y=7

Parallel lines are defined as lines that do not intersect or meet at any point in a plane. They are always parallel and equidistant from one another.

What is answer parallel line?

In geometry, parallel lines can be defined as two lines in the same plane that are at equal distance from each other and never meet. They can be both horizontal and vertical.

Parallel lines are two lines in the same plane that are equal distance apart and never intersect.

Real-world parallel line examples include railroad tracks, sidewalk edges, street markings, zebra crossings, the surface of pineapple and strawberry fruit, staircases and railings, and so on.

Parallel lines are lines in a plane that never meet, no matter how far they are extended. The distance between the parallel lines is constant because they never meet.

Parallel lines are defined as lines that do not intersect or meet at any point in a plane. They are always parallel and equidistant from one another.

these are 8 parallel lines

2x+3y = 6

2x+3y = 4

2x+3y = 1

2x+3y = 2

2x+3y = 3

2x+3y = 8

2x+3y = 7

2x+3y = 5

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Answer:

I HOPE THE ABOVE PHOTO WILL HELP YOU A LOT.

\(\huge{\mathcal {{{\color{orange}{\boxed{\rm \begin{array}{|c|c|c|c|} { \rm\: x}&2&5&8\\{\rm\:y}&2&0&2\end{array}}}}}}} \)

\( \Huge \mid\underline {\mathcal {{{\color{orange}{\LARGE{\mathcal{{{\color{red}{Solution}}}}}}}}}} \mid\)

If x is 2

Then ,

2x + 3y = 10

2(2) + 3y = 10

4 + 3y = 10

3y = 10 - 4

3y = 6

y = 6/3

y = 2

If y is 0

Then ,

2x + 3y = 10

2x + 3(0) = 10

2x + 0 = 10

2x = 10

x = 10/2

x = 5

If x is 8

Then ,

2x + 3y = 10

2(8) + 3y = 10

16 + 3y = 10

3y = 10 - 16

3y = -6

y = -6/2

y = -3

\(\huge{\mathcal{{{\color{blue}{\boxed{\rm \begin{array}{|c|c|c|c|} { \rm\: x}&2&2&4\\{\rm\:y}& - 2&2& - 8\end{array}}}}}}} \)

\( \Huge \mid\underline {\mathcal {{{\color{orange}{\LARGE{\mathcal{{{\color{red}{Solution}}}}}}}}}} \mid\)

If x is 2

Then ,

3x - y = 4

3(2) - y = 4

6 - y = 4

-y = 4 - 6

-y = -2

If y is 2

Then ,

3x - y = 4

3x - 2 = 4

3x = 4 + 2

3x = 6

x = 6/2

x = 3

If x is 4

Then ,

3x - y = 4

3(4) - y = 4

12 - y = 4

-y = 4 - 12

-y = -8