In a given polynomial function p(x), a student tests x=m and finds that x-m is a factor of p(x). which is true about p(m)?

Answers

Answer 1

If x - m is a factor of p(x), then p(m) = 0. This property is based on the fact that when a polynomial has a root, evaluating the polynomial at that root will result in zero.

If a student tests x = m and finds that x - m is a factor of the polynomial function p(x), it means that when x = m, p(x) is equal to zero. In other words, m is a root or a solution of the polynomial equation p(x) = 0.

When x - m is a factor of p(x), it implies that (x - m) divides p(x) evenly. This means that if we divide p(x) by (x - m), the remainder will be zero. In polynomial division, the dividend is p(x), the divisor is (x - m), and the quotient is the result of the division.

Let's consider an example to illustrate this further. Suppose we have the polynomial function p(x) = x² - 5x + 6. If we test x = 2, we can check if (x - 2) is a factor of p(x) by dividing p(x) by (x - 2):

       x - 3

   ---------------

x - 2 | x² - 5x + 6

       - (x² - 2x)

       ------------

               -3x + 6

               -(-3x + 6)

               ----------

                      0

As we can see, the division is exact with no remainder, which means that (x - 2) is indeed a factor of p(x). Therefore, when x = 2, p(x) will be equal to zero.

In general, if x - m is a factor of p(x), then p(m) = 0. This property is based on the fact that when a polynomial has a root, evaluating the polynomial at that root will result in zero.

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Related Questions

Q1. A company explores crude from a reservoir at about 300m below the earth's surface. The explored oil is pumped is pumped at a rate of 2.0 kg/s to a storage tank, 15 meters above the ground level. a. Calculate the rate of change of potential energy in the oil at the point above the ground. b. For enhanced oil recovery, CO₂ is pumped from the same point above the ground into the reservoir. Determine the change of potential energy in the gas in the reservoir.

Answers

In this scenario, the rate of change of potential energy in the oil is calculated as it is pumped from a reservoir 300m below the earth's surface to a storage tank 15 meters above the ground.

a. To calculate the rate of change of potential energy in the oil, we need to consider the height difference between the reservoir and the storage tank. The potential energy change is given by the formula ΔPE = mgh, where m is the mass of the oil, g is the acceleration due to gravity, and h is the height difference.

In this case, the mass of oil being pumped per unit time is 2.0 kg/s, and the height difference is 300m - 15m = 285m. Thus, the rate of change of potential energy in the oil is (2.0 kg/s) × (9.8 m/s²) × (285m).

b. For the CO₂ pumped into the reservoir, the change of potential energy is determined similarly using the same formula. However, in this case, the height difference is between the ground level and the reservoir, which is 300m. The mass of CO₂ being pumped per unit time is not provided in the information given, so further calculations would require that information.

It's important to note that potential energy calculations involve the height difference and the mass of the substance being considered, multiplied by the acceleration due to gravity.

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Given the point (2.-4) scale the point to a factor of 3​

Answers

Hey there! I'm happy to help!

To increase a point by a certain scale factor, you multiply each number inside the point by that scale factors. Ours is 3.

2(3)=6

-4(3)=-12

So, our final point is (6,-12).

Have a wonderful day! :D

A 2 x 3 factorial design with between subjects variables was carried out with 8 subjects per cell. how many levels in the first factor and second factor, respectively?

Answers

In a 2 x 3 factorial design, the numbers 2 and 3 represent the levels of the first and second factors, respectively. Therefore, there are 2 levels in the first factor and 3 levels in the second factor.

In a factorial design, the numbers 2 and 3 do not directly represent the levels of the factors. The numbers indicate the number of levels present in each factor.

In a 2 x 3 factorial design, the "2" represents the number of levels in the first factor, and the "3" represents the number of levels in the second factor.

For example, let's say the first factor is "A" and it has two levels: Level 1 and Level 2. The second factor, "B," has three levels: Level 1, Level 2, and Level 3. The design would then involve combinations of these levels such as A1B1, A1B2, A1B3, A2B1, A2B2, and A2B3.

So, in a 2 x 3 factorial design, there are 2 levels in the first factor and 3 levels in the second factor, leading to a total of 6 unique combinations or cells.

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PLSSS HELP IF YOU TURLY KNOW THISSS

PLSSS HELP IF YOU TURLY KNOW THISSS

Answers

Answer:

x=3

Step-by-step explanation:

2(10x+2)=64

20x+4=64

20x=60

x=60÷20

x=3

Answer:

x=3

Step-by-step explanation:

2

(10x+2)=64

=

20x+4=64

Subtract 4 from both sides

20x=60

Divide both sides by 20

20x/20 = 60/20

therefore x = 3

a student draws a line says that it is 10cm long.when it is carefully measured.the truth length is 10.2cm .what is the percentage error in the drawing​

Answers

Answer:

1.96%

Step-by-step explanation:

→ Minus the 2 numbers

10.2 - 10 = 0.2

→ Divide by the original 10.2

0.0196078

→ Times by 100

1.96%

Find the value of m and n so that tha function . = + −x a solution of Given differential equations ′′ − ′ − = 0 () = , ′() = 2

Answers

Question:

Determine the value of m and n so that the following system of linear equation have an infinite number of solutions.

\((2m-1)x+3y-5=0\)

and

\(3x+(n-1)y-2=0\)

Answer:

\(m=\frac{17}{4}\)

\(n = \frac{11}{5}\)

Step-by-step explanation:

Given

\(3x+(n-1)y-2=0\)

\((2m-1)x+3y-5=0\)

Rewrite both equations:

\(3x + (n - 1)y = 2\)

\((2m - 1)x + 3y = 5\)

For the expression to have a solution, the following condition must exist:

\(\frac{3x}{(2m - 1)x} = \frac{(n-1)y}{3y}= \frac{2}{5}\)

Split to 2

\(\frac{3x}{(2m - 1)x} = \frac{2}{5}\)

\(\frac{(n-1)y}{3y}= \frac{2}{5}\)

Cross Multiply

\(5 * 3x = 2 * (2m - 1)x\) -- (1)

\(5 * (n -1)y = 2 * 3y\) -- (2)

Solving (1)

\(5 * 3x = 2 * (2m - 1)x\)

Divide both sides by x

\(5 * 3 = 2 * (2m - 1)\)

Open bracket

\(15 = 4m - 2\)

Collect Like Terms

\(4m = 15+2\)

\(4m= 17\)

Make m the subject

\(m=\frac{17}{4}\)

Solving (2)

\(5 * (n -1)y = 2 * 3y\)

Divide both sides by 7

\(5 * (n - 1) = 2 * 3\)

Open bracket

\(5n - 5 = 6\)

Collect Like Terms

\(5n = 5 + 6\)

\(5n = 11\)

Make n the subject

\(n = \frac{11}{5}\)

Troy spends $9.75 on chicken feed
each week. He has 48 chickens and
each chicken lays one egg a day. At
the end of the week, Troy keeps one
dozen eggs for himself and sells the
rest at the farmer's market for $4.00 a
dozen. What is Troy's weekly profit?
A $98.25
B $102.25
© $112
D $192

Answers

Answer:

A

Step-by-step explanation:

Total eggs in lay in one week = 48 * 7 = 336

total eggs sold = 336 - 12 = 324

Total dozen = 324 : 12 = 27

Total profit = 27 * 4 = $108

Profit without chicken feed = 108 - 9.75 = $98.25

22. If a pilot elects to proceed to the selected alternate, the landing minimums used at that airport should be

Answers

If a pilot elects to proceed to the selected alternate, the landing minimums used at that airport should be equal to or higher than the minimums required for the original destination airport.

When a pilot chooses to proceed to the selected alternate airport, they must consider the weather conditions at that airport, particularly the landing minimums. The landing minimums are the lowest weather conditions in which an aircraft can safely land at an airport. They are determined by various factors, such as the visibility range and the height of the cloud ceiling.

Therefore, if a pilot decides to go to the alternate airport, they should use the landing minimums for that airport to ensure a safe landing. The landing minimums for the alternate airport should be equal to or higher than the minimums required for the original destination airport.

It's important to note that the pilot must have knowledge of the landing minimums for the alternate airport before deciding to proceed there. If they don't have the necessary information, they should consider other options, such as returning to the departure airport or diverting to a different airport with suitable weather conditions.

In summary, when a pilot chooses to proceed to an alternate airport, they should use the landing minimums for that airport to ensure a safe landing. The pilot must have knowledge of the minimums before proceeding to the alternate airport.

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Which statement correctly describes the relationship between △JKL and △J′K′L′?

△JKL is congruent to △J′K′L′ because you can map △JKL to △J′K′L′ using a reflection across the x-axis, which is a rigid motion.
△JKL is not congruent to △J′K′L′ because there is no sequence of rigid motions that maps △JKL to △J′K′L′.
△JKL is congruent to △J′K′L′ because you can map △JKL to △J′K′L′ using a translation 5 units up, which is a rigid motion.
△JKL is congruent to △J′K′L′ because you can map △JKL to △J′K′L′ using a rotation of 90° counterclockwise about the origin, which is a rigid motion.

Which statement correctly describes the relationship between JKL and JKL? JKL is congruent to JKL because

Answers

Answer:

Is not congruent because there is not sequence of rigid motions

Step-by-step explanation:

You can see the letter L

Answer:

B

Step-by-step explanation:

TOOK TEST

Subcutaneous interleukin-2 in combination with medroxyprogesterone acetate and antioxidants in advanced cancer responders to previous chemotherapy: phase II study evaluating clinical, quality of life, and laboratory parameters

Answers

In this phase II study, researchers evaluated the effects of subcutaneous interleukin-2 (IL-2) in combination with medroxyprogesterone acetate (MPA) and antioxidants in advanced cancer patients who had responded to previous chemotherapy. The study aimed to assess the clinical outcomes, quality of life, and laboratory parameters in these patients.

To conduct the study, the researchers recruited advanced cancer patients who had previously shown a positive response to chemotherapy. These patients were administered subcutaneous IL-2, MPA, and antioxidants as part of the treatment.

The researchers then monitored various parameters to evaluate the effects of the treatment. Clinical outcomes, such as tumor response and overall survival, were assessed to determine the effectiveness of the treatment in controlling cancer progression. Quality of life measurements were used to evaluate the impact of the treatment on patients' well-being and daily functioning. Additionally, laboratory parameters were measured to assess any changes in patients' blood count, liver function, and kidney function.

By analyzing the data obtained from the study, the researchers aimed to determine the efficacy and safety of the combination treatment in advanced cancer patients who had previously responded to chemotherapy. The findings of this phase II study can contribute to our understanding of potential treatment options for this specific patient population.

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how many driving lessons do you need to do with a professioanl instructor before my parents could teach me

Answers

The number of driving lessons you need to take with a professional instructor before your parents can teach you varies depending on the regulations in your area. In some regions, a specific number of driving lessons is required by law before you can apply for your driver's license. As a result, you should check with your local Department of Motor Vehicles (DMV) or other regulatory agency to learn more about the specific requirements in your area.

In general, however, it is usually beneficial to take as many driving lessons as possible with a professional instructor. Professional driving instructors have been educated in how to teach driving skills safely and effectively. They have also assisted many other people in learning how to drive, and as a result, they have a wealth of knowledge and expertise to draw on.

The more driving lessons you take with a professional instructor, the more chances you'll have to learn and improve your driving abilities. You may be able to practice with your parents after only a few lessons, but it's generally a good idea to take as many as possible with an instructor before doing so. This will give you the best chance of success while you learn to drive safely and confidently.

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(2 × 109) × (4 × 10−4)

Answers

Answer:

the correct answer is equal 7848

Determine whether each number is rational or irrational.

Determine whether each number is rational or irrational.

Answers

Answer:

All four of these numbers are rational.

Find the perimeter of the rectangle. Be sure to write the correct unit in your answer.

Find the perimeter of the rectangle. Be sure to write the correct unit in your answer.

Answers

Answer: 90 inches

Step-by-step explanation:

20+20=40
25+25=50
40+50=90

Perimeter = 90in!

Mr Rai sale a watch for Rs 2035 a profit of 10% how much money has he paid to buy the also find his profit amount​

Answers

Answer:

He paid Rs 1,850 to buy the watch

Profit = Rs 185

Step-by-step explanation:

Cost price = x

Profit = 10% of x

Selling price = Rs 2035

Profit = Selling price - cost price

10% of x = 2035 - x

0.1x = 2035 - x

0.1x + x = 2035

1.1x = 2035

x = 2035 / 1.1

x = 1,850

Cost price = x = Rs 1,850

Profit = 10% of x

= 10% of 1,850

= 0.1 × 1850

= 185

Profit = Rs 185

I’ll give you 20 points if you help me please

Ill give you 20 points if you help me please

Answers

Answer:

f(g(x)) = 2x - 5

Step-by-step explanation:

If f(x) = 2x + 1 and g(x) = x - 3

Then to find the value of f(g(x)) we write x - 3 instead of x in the function f(x)

f(g(x)) = 2 (x-3) + 1 ➡ f(g(x)) = 2x -5

Answer:

\(\huge \boxed{f(g(x))=2x+-5}\)

Step-by-step explanation:

The functions are given,

\(f(x)=2x+1\)

\(g(x)=x-3\)

To find \(f(g(x))\), the input for the function f of x will be g of x.

\(f(g(x))=2(x-3)+1\)

Expand brackets.

\(f(g(x))=2x-6+1\)

Combine like terms.

\(f(g(x))=2x-5\)

I need a answer fast thanks!

I need a answer fast thanks!

Answers

Answer:

Chart:

x           y

-6         11

3           5

15         -3

-12        15

Step-by-step explanation:

The only things you can plug in are the domain {-12, -6, 3, 15}

Plug in the domain into equation to find y.

-6 :

y = -2/3 (-6) +7

y = +47

y=11

(-6,11)

3:

y = -2/3 (3) +7

y = -2 +7

y = 5

(3, 5)

15:

y = -2/3 (15) +7

y =  -10 +7

y = -3

(15 , -3)

-12:

y = -2/3 (-12) +7

y = 8 + 7

y= 15

(-12,15)

Answer:

1) 11

2) 3

3) -3

4) -12

Step-by-step explanation:

eq(1):

\(y = \frac{-2}{3} x + 7\\\\y - 7 = \frac{-2}{3} x\\\\x = (y - 7)\frac{-3}{2} \\\\x = (7-y)\frac{3}{2} ---eq(2)\)

1) x = -6

sub in eq(1)

\(y = \frac{-2}{3} (-6) + 7\\\\y = \frac{12}{3} + 7\\\\y = 4+7\\\\y = 11\)

2) y = 5

sub in eq(2)

\(x = (7-5)\frac{3}{2} \\\\x = 3\)

3) x = 15

sub in eq(1)

\(y = \frac{-2}{3} 15 + 7\\\\y = \frac{-30}{3} +7\\\\y = -10 + 7\\\\y = -3\)

4)

sub in eq(2)

\(x = (7-15)\frac{3}{2} \\\\x = -8\frac{3}{2}\\ \\x = -12\)

Which of the following statements best gives the reasons that a data usage bill for a smart phone is an essential (variable) expense? a. It is an obligation to pay, but the spender has some control over its amount. b. It cannot be eliminated in a later budget, in order to save money. c. It is expected to be the same amount every month. d. Bills for services rendered have a higher priority than any other type of expense. Please select the best answer from the choices provided A B C D

Answers

Answer: I’m pretty sure its A on e2020

Step-by-step explanation:

It is an obligation to pay, but the spender has some control over the amount.

Option A is the correct answer.

We have,

The reason that a data usage bill for a smartphone is an essential (variable) expense is that it is an obligation to pay.

In other words, the phone service is necessary for the phone to function properly, and therefore, the bill must be paid.

However, the spender has some control over its amount by managing their data usage, such as turning off data for certain apps or using Wi-Fi instead of cellular data.

This means that while the bill cannot be eliminated entirely, the spender can take steps to reduce the amount owed.

Statement b is incorrect because while the bill cannot be eliminated entirely, it can be reduced by managing data usage.

Statement c is incorrect because the amount of the bill is not expected to be the same every month, as it will depend on how much data is used. Statement d is incorrect because while bills for services rendered may be a priority, they do not necessarily have a higher priority than other types of essential expenses, such as food or housing.

Thus,

It is an obligation to pay, but the spender has some control over the amount.

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Suppose annual salaries for sales associates from a particular store have a bell-shaped distribution with a mean of $32,500 and a standard deviation of $2,500. Refer to Exhibit 3-3. The z-score for a sales associate from this store who earns $37,500 is
Suppose annual salaries for sales associates from a particular store have a bell-shaped distribution with a mean of $32,500 and a standard deviation of $2,500. Refer to Exhibit 3-3. The z-score for a sales associate from this store who earns $37,500 is

Answers

To find the z-score for a sales associate who earns $37,500, we can use the formula:

z = (x - μ) / σ

Where:

x is the value we want to convert to a z-score (in this case, $37,500),

μ is the mean of the distribution (in this case, $32,500), and

σ is the standard deviation of the distribution (in this case, $2,500).

Substituting the given values into the formula, we have:

z = (37,500 - 32,500) / 2,500

z = 5,000 / 2,500

z = 2

Therefore, the z-score for a sales associate who earns $37,500 is 2.

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Final answer:

The z-score for a sales associate earning $37,500 in a system where the mean salary is $32,500 and the standard deviation is $2,500 has a z-score of 2. This score indicates that the associate's salary is two standard deviations above the mean.

Explanation:

The z-score represents how many standard deviations a value is from the mean. In this case, the value is the salary of a sales associate, the mean is the average salary, and the standard deviation is the average variation in salaries.

We calculate the z-score by subtracting the mean from the value and dividing by the standard deviation, like so:

Z = (Value - Mean) / Standard Deviation

So, the z-score for an associate earning $37,500 would be:

Z = ($37,500 - $32,500) / $2,500

This gives us a z-score of +2, indicating that a salary of $37,500 is two standard deviations above mean.

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Enter a recursive rule for the geometric sequence.

5, -10, 20, -40,...

a^1 = __; a^n = __

Answers

Answer

a^1=-2,5

a^n=a×a^n-1

Graph △ABC with vertices A(2,3), B(2,0), and C(3,2) and its image after a 90 degrees clockwise rotation about the origin and a reflection in the y-axis.

Answers

The coordinates of the final image are

A'' (3, 2)

B'' (0, 2)

C'' (2, 3)

How to find the coordinates of the final image

The coordinates of the preimage are A(2,3), B(2,0), and C(3,2)

The transformation rule for a 90 degrees clockwise rotation is

(x, y) → (y,-x)

hence we have

A(2,3), → (3,-2)

B(2,0) → (0,-2)

C(3,2) → (2,-3)

The transformation rule for reflection in the y axis is

(x, y) → (x,-y)

hence we have

A'(3,-2) → (3, 2)

B'(0,-2) → (0, 2)

C'(2,-3) → (2, 3)

The image is plotted and attached

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Graph ABC with vertices A(2,3), B(2,0), and C(3,2) and its image after a 90 degrees clockwise rotation

Which statement is true about the value of |-5|? It is the distance that -5 is form 0 on the number line. It is the distance that -5 from 5 on the number line. It is less than 5. It is greater than 5.

Answers

Answer: It is the distance that -5 is form 0 on the number line

Step-by-step explanation:

We can define the absolute value of any number:

IxI as:

"The distance between the point x and the origin in the coordinate axis"

If we are in one dimension, x is just a value, and the coordinate axis will be a number line.

Then we could rewrite this as:

"is the distance between the value x and the 0 in the number line"

So:

IxI = x if x > 0

IxI = -x if x < 0.

Then:

I -5 I

Is the distance between the number -5, and the 0 in the number line, and this is:

I - 5 I = 5.

The correct option is:

"It is the distance that -5 is form 0 on the number line"

Answer:

Answer: It is the distance that -5 is form 0 on the number line

Step-by-step explanation:

There must be atleast 8 students to form a club. Which inequality shows the number of students needed to form a club

Answers

the answer to your problem is 8 i’m guessing??

Question 6 The function h(x) = defined as: f(x)= Question Help: Video < 1 can be expressed in the form f(g(x)) where g(z) = (x + 3) and f(x) is 2+3

Answers

The function h(x) can be written as the expression f(g(x)), where g(x) is defined to be equal to x + 3 and f(x) is defined to be equal to 2 + 3.

In the problem that has been presented to us, we have a function h(x) that needs to be represented in the form f(g(x)), where g(x) is defined as (x + 3), and f(x) is defined as 2 + 3. In order to accomplish this, we will need to change f(x) such that it reads g(x).

In the first step, we give f(x) the value of g(x) = (x + 3), which gives us the result f(g(x)) = f(x + 3). Next, we determine the value of f(x + 3) by plugging x + 3 into the equation f(x) = 2 + 3. Further simplification leads us to the conclusion that f(x + 3) = 2 + 3 = 5.

Therefore, the term h(x) can be rewritten as f(g(x)) = f(x + 3) = 5 to represent the same thing. This indicates that the output of the function h(x) will always be 5, regardless of the value of the argument x. To put it another way, the h(x) function is a constant function, which means that its value is always 5, despite the fact that x might be any value.

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A person on a lake sees a plane flying overhead. The angle formed by his line of sight to the plane is 39°; If the plane is flying about 5000 ft, find the horizontal ground distance between the person and the plane.

Answers

The horizontal ground distance between the person and the plane is 6174.5 feet

What is an equation?

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

Let d represent the horizontal ground distance between the person and the plane.

tan(39) = 5000 / d

d = 6174.5 feet

The horizontal ground distance between the person and the plane is 6174.5 feet

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What type of triangle is defined by the following set of side lengths

10, 9, 5



Acute


Obtuse


Right


Not a triangle

Answers

Answer:

Acute

Step-by-step explanation:

Hope it helps you in your learning process.

Hello there.

Question:

What type of triangle is defined by the following set of side lengths

10, 9, 5

Answer:

Acute

Step-by-step explanation:

The triangle perimeter is the sum of the lengths of its three sides.

\(p=a+b+c=10+9+5=24\)

The semiperimeter of the triangle is half its perimeter. The semiperimeter appears in formulas for triangles to be given a separate name. the triangle inequality, the longest side length of a triangle is less than the semi perimeter.

\(s=\frac{p}{2} =\frac{24}{2} =12\)

using Heron's formula

Heron's formula gives the area of a triangle when the length of all three sides is known.

\(T=\sqrt{s(s-a)(s-b)(s-c)}\)

\(T=\sqrt{12(12-10)(12-9)(12-5)}\)

\(T=\sqrt{504}=22.45\)

There you go :) I even calculated it for you.

Hope this helps!

If you have any questions please ask.

4 movie tickets cost $48. At this rate, what is the cost of:

5 movie tickets?

Answers

Answer:

60 dollars for 5 tickets.

Step-by-step explanation:

4x=48

x=12

5 times 12= 60

Answer:

$60

Step-by-step explanation:

4x=48

x=12 so each ticket costs 12 dollars

so for 5 movie tickets 12x5=60 dollars

so 5 movie tickets would cost 60 dollars



A double fault in tennis is when the serving player fails to land their serve "in" without stepping on or over the service line in two chances. Kelly's first serve percentage is 40%, while her second serve percentage is 70%.


c. Design a simulation using a random number generator that can be used to estimate the probability that Kelly double faults on her next serve.

Answers

The estimated probability of Kelly double faulting on her next serve would be (600 + 300) / 1000 = 0.9 or 90%.

To design a simulation using a random number generator to estimate the probability that Kelly double faults on her next serve, we can follow these steps:

1. Determine the probability of Kelly double faulting on her first serve:
  - Given that her first serve percentage is 40%, the probability of Kelly landing her first serve "in" is 0.40.
  - Therefore, the probability of Kelly double faulting on her first serve is the complement of 0.40, which is 1 - 0.40 = 0.60.

2. Determine the probability of Kelly double faulting on her second serve:
  - Given that her second serve percentage is 70%, the probability of Kelly landing her second serve "in" is 0.70.
  - Therefore, the probability of Kelly double faulting on her second serve is the complement of 0.70, which is 1 - 0.70 = 0.30.

3. Use a random number generator to simulate the serve:
  - A random number generator can be used to generate a random number between 0 and 1.
  - If the generated random number is less than or equal to 0.60, it represents Kelly double faulting on her first serve.
  - If the generated random number is greater than 0.60 but less than or equal to 0.90, it represents Kelly double faulting on her second serve.
  - If the generated random number is greater than 0.90, it represents Kelly successfully landing her serve "in".

4. Repeat the simulation multiple times:
  - By repeating the simulation multiple times, we can obtain an average probability of Kelly double faulting on her next serve.

For example, if we repeat the simulation 1000 times, and Kelly double faults on her first serve in 600 instances and on her second serve in 300 instances, the estimated probability of Kelly double faulting on her next serve would be (600 + 300) / 1000 = 0.9 or 90%.

Remember, this is just an estimation based on the provided percentages and random number generation. The actual probability may vary in real-life situations.

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Question below fr this time

Question below fr this time

Answers

Answer:

An object's initial position

The initial velocity of an object

The time an object was in motion

The acceleration of an object

Step-by-step explanation:

That equation is used to solve for an object's final position.

DO NOT ANSWER JUST TO GET POINTS, YOU WILL GET REPORTED

You decide to rent a cottage you own. You spend $400 getting the cottage ready to put on the rental market. Your costs for utilities run approximately $15 per day. You think you can charge $115 per night in rent. Part A: Write an equation that represents your costs, C, in dollars for x number of nights. Part B: Write and equation that represents the Revenue (income), R, in dollars for x number of nights. Part C: What is the solution to this system of equations? Interpret the meaning of the solution.

Answers

Answer:

Part A

The costs consist of one off payment to get the cottage ready and daily utility charges:

C = 400 + 15xPart B

The revenue is the sum of daily rental:

R = 115xPart C

To solve it as a system we make C= R or:

400 + 15x = 115x

Solving we get:

400 = 115x - 15x400 = 100xx = 400/100x = 4

It gives us:

C = 400 + 15*4 = 460R = 115*4 = 460

The meaning of the solution is the number of nights we can pay off the costs and after 4 days we start to get profit.

Answer:

what is this

Step-by-step explanation:

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