Answers
Answer:
x = 3√7.
y = 12.
Step-by-step explanation:
The 2 triangles are similar so:
x/9 = 7/x
x^2 = 63
x = √63
= 3√7.
By Pythagoras' theorem
y^2 = 9^2 + (3√7)^2
= 81 + 63
= 144
y = 12.
Related Questions
The first equation in the system models the height, h, of a falling volleyball as a function of time, t. The second equation models the height, h, of the hands of a player jumping up to spike the ball as a function of time, t. Which statement describes the situation modeled by this system?
StartLayout Enlarged Left-Brace 1st Row h = 14 minus 16 t squared 2nd Row h = 7 + 24 t minus 16 t squared EndLayout
The volleyball is 7 feet above the ground at the instant the player begins her jump.
The volleyball is 14 feet above the ground at the instant the player begins her jump.
The volleyball is 16 feet above the ground at the instant the player begins her jump.
The volleyball is 24 feet above the ground at the instant the player begins her jump.
Answers
Answer:
The volleyball is 14 feet above the ground at the instant the pl;ayer begins her jump.
B is correct.
Step-by-step explanation:
Here we have two situation of system of models.
[tex]\text{The height (h) of a falling volleyball as function of time (t):h}(t)=14-16t^2[/tex]
[tex]\text{The height (h) of the hands of a player as function of time (t):h}(t)=7-24t-16t^2[/tex]
We need to find the height of ball above the ground at the instant the player begins jump.
At t=0, player begins jump.
We put t=0 into [tex]h(t)=7+24t-16t^2[/tex]
Height of player hand at t=0 , h=7 feet.
Now we will set t=0 for first model.
[tex]h(0)=14-16\times0^2 \ = > 14[/tex]
Thus, The volleyball is 14 feet above the ground at the instant the pl;ayer begins her jump.
B is correct.
Answer: B
Step-by-step explanation:
EDGE 2023
A mixture of 50 liters of paint is 25% red tint, 30% yellow tint and 45% water.
5 liters of yellow tint are added to the original mixture.
The percent of yellow tint in the new mixture is ____?
Answer must be correct to 1 decimal place
Answers
From the given information provided, the percent of yellow tint in the new mixture is 36.4%.
The total amount of yellow tint in the original mixture is:
0.30 × 50 liters = 15 liters
When 5 liters of yellow tint are added to the mixture, the total amount of yellow tint becomes:
15 + 5 = 20 liters
The total amount of new mixture is:
50 + 5 = 55 liters
To find the percentage of yellow tint in the new mixture, we divide the amount of yellow tint by the total amount of the mixture and multiply by 100:
(20/55) × 100 = 36.4%
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The number of bald eagles in a state during the winters from 1996 to 2002 can be modeled by the quartic function f(x)equalsnegative 3. 439 x Superscript 4 Baseline plus 35. 952 x cubed minus 99. 139 x squared plus 41. 541 x plus 178. 192 where x is the number of years since 1996. Find the number of bald eagles in the state in the winter of 1999
Answers
The number of bald eagles in the state in the winter of 1999 is 273.909, where The number of bald eagles in a state during the winters from 1996 to 2002 can be modeled by the quartic function.
by the given information the equation is
[tex]f(x) = -3.439(x)^4 + 35.952(x)^3 - 99.139(x)^2 + 41.541(x) + 178.192[/tex]
where x = number of years since 1996
The given quartic function must be changed to x = 3 in order to determine the number of bald eagles in the state during the winter of 1999:
[tex]f(3) = -3.439(3)^4 + 35.952(3)^3 - 99.139(3)^2 + 41.541(3) + 178.192[/tex]
When we condense this expression, we get:
f(3) = -3.439(81) + 35.952(27) - 99.139(9) + 41.541(3) + 178.192
f(3) = -1107.759 + 970.104 - 892.251 + 124.623 + 178.192
f(3) = 273.909
Hence, in the winter of 1999, there were roughly 273.909 bald eagles in the state.
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-8x253.96 pls help if you can because i'm stuck on this problem, so please help if you can.
Answers
The mean of 50 observations was 250. Later it was found that the number 152 was wrongly copied as 102 for the computation of mean. Find the correct mean.
Answers
Answer:
[tex](250*50-102)+152[\tex]
The correct mean of the 50 observations is 249.96.
To find the correct mean, we need to adjust the value that was wrongly copied. The difference between 152 and 102 is 50, so the corrected total of the 50 observations would be:
Corrected total = (original total - 102) + 152
= [tex](250*50-102)+152[/tex]
= [tex]12498[/tex]
Therefore, the correct mean of the 50 observations is:
Correct mean = Corrected total / Number of observations
= [tex]12498 / 50[/tex]
= 249.96
Hence, the correct mean of the 50 observations is 249.96.
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Which of the following rectangles has an area that can be represented by the algebraic expression 9x+9
?
Responses
Image with alt text:
Image with alt text:
Image with alt text:
Image with alt text:
Answers
Answer: we can't see the images
Step-by-step explanation:
Answer:
Step-by-step explanation:
be can not see the pictures sir do better ni***
What will be the coordinates of point G after
a 90° counterclockwise rotation about the
origin?
Answers
So, if we have the original coordinates of point G, we can swap the x and y values and negate the new y-value to find the coordinates of point G after a 90° counterclockwise rotation about the origin.
To perform a 90° counterclockwise rotation about the origin, we can use the following transformation:
x' = -y
y' = x
This means that the new x-coordinate (x') will be the negative of the original y-coordinate (y), and the new y-coordinate (y') will be the original x-coordinate (x).
If we have the coordinates of point G, we can apply this transformation to find the new coordinates after the rotation.
Let's say that the coordinates of point G are (x, y). Then, the new coordinates (x', y') after the rotation will be:
x' = -y
y' = x
So, the new coordinates will be (-y, x). Therefore, if we want to find the new coordinates after a 90° counterclockwise rotation, we just need to swap the x and y values and negate the new y-value. This gives us the following coordinates for point G after the rotation:
G' = (-y, x)
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Letter answer only answer only!
Answers
Answer: B
Step-by-step explanation:
One pump can fill a swimming pool in 4 hours. A second pump can fill the pool in 6 hours. If the pool starts empty, what part of the pool will be filled in each situation? The first pump works for 2 hours and the second pump works for 3 hours.
Answers
Answer:
1/2 of the pool is filled, and in the second situation, the entire pool is filled.
Step-by-step explanation:
Let's start by finding the hourly filling rate of each pump. The first pump can fill the pool in 4 hours, so its hourly rate is 1/4 of the pool. The second pump can fill the pool in 6 hours, so its hourly rate is 1/6 of the pool.
For the first situation, the first pump works for 2 hours, so it fills 2/4 or 1/2 of the pool. The second pump does not work in this situation, so it fills 0 of the pool. Therefore, the total amount of the pool filled is 1/2.
For the second situation, the first pump works for 2 hours and fills 1/2 of the pool. The second pump works for 3 hours and fills 3/6 or 1/2 of the pool. Therefore, the total amount of the pool filled is 1/2 + 1/2 = 1.
So, in the first situation, 1/2 of the pool is filled, and in the second situation, the entire pool is filled.
help would be appreciated
Answers
Challenge A store is giving out cards labeled 1 through 10 when customers enter the store. If the card is an even number, you get a 10% discount on your purchase that day. If the card is an odd number greater than 6, you get a 30% discount. Otherwise, you get a 25% discount. The table shows the results of 200 customers. What is the relative frequency for each discount? Use pencil and paper. If the manager of the store wants approximately half of the customers to receive the 25% discount, does this seem like an appropriate method? explain
Answers
Answer: To find the relative frequency for each discount, we need to divide the number of customers who received each discount by the total number of customers.
Discount Number of customers Relative Frequency
10% 70 0.35
25% 99 0.495
30% 31 0.155
To determine if it is appropriate for the manager to want approximately half of the customers to receive the 25% discount, we can calculate the relative frequency for the 25% discount and compare it to 0.5 (or 50%).
Relative frequency for 25% discount = 99/200 = 0.495
Since the relative frequency for the 25% discount is already very close to 0.5, it seems like an appropriate method to achieve the manager's goal. However, it's worth noting that this method may not be the most effective in terms of maximizing profits or customer satisfaction. It's always important for businesses to carefully consider their pricing strategies and discount policies.
Step-by-step explanation:
What is the advantage
of a two-way relative frequency table for
showing relationships between sets of
paired data?
Answers
A two-way relative frequency table, in general, is an effective instrument for analysing paired data because it offers a succinct and clear summary of the relationship between the variables, enabling us to spot patterns and conduct methodical hypothesis testing.
A tool used to display the connection between two sets of paired data is a two-way relative frequency table, which arranges the data in rows and columns. The frequency of each combination is indicated in the chart, which can also be used to determine its relative frequency, which is calculated as the frequency of the combination divided by the total number of observations.
The benefit of using a two-way relative frequency table to illustrate relationships between pairs of paired data is that it gives a more comprehensive image of the data and the interrelationships between the variables. More specifically, it enables us to:
Finding patterns and trends is simple thanks to the table's presentation of the data. We can see which combinations are more or less prevalent than others by examining the relative frequencies of each set of values, and we can spot patterns in the data that might not be obvious otherwise.
Calculate conditional probabilities: Conditional probabilities are the likelihoods of one event given the occurrence of another event, and they can be determined using the chart. We can determine the likelihood that a smoker is male or female and the likelihood that a non-smoker is male or female, for instance, if we have a two-way table illustrating the connection between gender and smoking status.
Testing hypothesis: The table can be used to evaluate theories about how the variables are related to one another. A chi-square test, for instance, can be used to determine whether gender and smoking status are significantly associated.
In general, a two-way relative frequency table is an effective tool for analysing paired data because it offers a succinct and clear summary of the relationship between the variables, enabling us to spot patterns and test theories in a methodical manner.
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There are 2 boys and 2 girls working on an art project. They are sharing 10 ounces of paint equally. How much paint should each child get?
Answers
Answer:
2 ounces per person
Step-by-step explanation:
A group of Physicians must build an addition to their existing private clinic. They are considering three different sized additions; a small addition, a medium addition and a large addition. If the medical demand is high (there is a favorable market for the addition) they would realize a net profit of $100,000 with a large addition, a net profit of $40,000 with a medium addition and a net profit of $10,000 with a small addition. If the medical demand is low (there is an unfavorable market for the addition) they would realize a net loss of $40,000 with the large addition, a net loss of $10,000 with the medium addition and a net profit of $5,000 with the small addition. The Physicians were also able to assign the following utility preference values to each of the potential payoffs they could encounter. Utility of $100,000 is 1.0, U ($40,000) is 0.9, U ($10,000) is 0.6, U ($5,000) is 0.5, U ($-10,000) is 0.4, and U ($-40,000) is 0.0. The physicians also have a reliable forecast indicating a 40% probability of the high medical demand. Using expected monetary value theory, what should they do and what is the expected value of that decision? Using expected utility theory, what should they do and what is the expected utility of that decision?
Answers
Therefore , the solution of the given problem of probability comes out to be the medium addition because it has the greatest expected utility (0.72).
What is probability, exactly?The primary goal of the structures within a methodology expression known as criteria is to provide an indication of the probability that the assertion is true or that a specific event will occur. Any number between zero and one, at which 0 is frequently indicated as a possibility and 1 has frequently used to denote a level of confidence, can be used to represent chance. The chance that a specific event will occur is displayed in a probability diagram.
Here,
The following formula can be used to determine each option's anticipated financial value:
=> EMV of big addition = (0.4 * $100,000) plus (0.6 * -$40,000) for a total of $16,000.
=> EMV of the middle addition is
= (0.4 * $40,000) plus (0.6 * -$10,000) for a total of $14,000.
=> EMV of a minor addition = (0.4 * 10,000) plus (0.6 * 5,000), which equals $6,000
The large addition should be chosen by the physicians as it has the greatest expected financial value of $16,000.
dividing each outcome's usefulness value by its likelihood, then adding the results:
=> (0.4 * 1.0) + (0.6 * 0.0) = 0.4 is the EU of the big addition.
=> (0.4 * 0.9) + (0.6 * 0.6) = 0.72 is the EU of medium addition.
Smaller EU = (0.4 * 0.5) + (0.6 * 0.6) = 0.58
The doctors should choose the medium addition because it has the greatest expected utility (0.72), according to expected utility theory.
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A = 1/2bh or A = bh/2
Area: 256.5 cm2
base: 27cm
What is the height?
Answers
Step by step
We know
Formula for area is A=1/2bh
Area is 256.5
b is 27
Plug these into your formula for Area and solve
256.5 = 1/2 (27) h
256.5 = 13.5 h
Divide both sides by 13.5 to solve for h
256.5/13.5 = 13.5/13.5 h
19 = h
Your height is 19cm
Isabel left her home at 11. 30 A. M. She took 45 minutes to jog to the park.
After exercising for 1 hour 55 minutes, she jogged home. She reached home at 3 P. M.
How long did she take to jog home? Explain how you got to this answer
Answers
Answer: 1 hour 50 minutes
Step-by-step explanation: it took her 2 hours to get home
she left home at 11:30 am it took her 45 minutes to jog to the park by the time she got to the park it was 12:15 pm she exercised for 1 hour and 55 minutes by the time she was done her work out it is 1:10 if she finished at 3 pm it took her 1 hour 50 minutes to get home
You spend a $5 per turn on a fair game to win $15 for each winYou lose the first round but win the next two rounds. What was the net payoff ?
Answers
If you spend a $5 per turn on a fair game to win $15 for each win and you lose the first round but win the next two rounds, then the net payoff is $15
Since you spend $5 per turn and play three rounds, your total cost is $5 x 3 = $15.
If you win a game, you receive $15, so winning two games will give you $15 x 2 = $30.
However, since you lost the first round, you only won two out of three rounds. Therefore, your net payoff is:
= $30 - $15
Subtract the numbers
= $15
Therefore, your net payoff is $15
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Do the three lines 5x - y = 7, x + 3y = 11, and 2x + 3y = 13 have a common point of intersection? If so, find it. if not, explain why not .
Answers
Answer:
429
Step-by-step explanation:
Points C and D are plotted on a graph.
C has coordinates (1, -5) and D has coordinates (6, 4)
Calculate the length of the line segment CD.
Leave your answer to 2 decimal places.
Answers
Answer:
The length of line segment CD is 10.3 units (rounded to 2 decimal places).
Step-by-step explanation:
To find the length of line segment CD, we need to use the distance formula, which is:
Distance = √[(x2 - x1)^2 + (y2 - y1)^2]
Here, (x1, y1) = (1, -5) and (x2, y2) = (6, 4).
So, substituting these values in the distance formula, we get:
Distance = √[(6 - 1)^2 + (4 - (-5))^2]
= √[5^2 + 9^2]
= √(25 + 81)
= √106
≈ 10.3 (rounded to 2 decimal places)
Therefore, the length of line segment CD is 10.3 units (rounded to 2 decimal places).
Hope this helps!
Use substitution to solve the system of equations. Show your work.
Check your answer to show proof that the solution works in each equation.
[tex]4x+y=14\\y=8+2x[/tex]
Answers
x=1
Answer:
x = 1 , y = 10
Step-by-step explanation:
Given : y = 8 + 2x
by substitution,
4x + 8 + 2x = 14
6x + 8 = 14
6x = 14 - 8
6x = 6
x = 6/6 = 1
y = 8 + 2x
y = 8 + 2(1)
y= 10
Proof :
if x = 1,
4 (1) + 8 +2 (1) = 14
4 + 8 + 2 = 14
14 = 14
if y = 10 and x = 1
4 ( 1) + 10 = 14
4 + 10 = 14
14 = 14
For both equations, LHS = RHS
Therefore Proved.
hope it helps!
There are 2 boys and 2 girls working on an art project. They are sharing 10 ounces of paint equally. How much paint should each child get? show work
Answers
Answer:
2.5 oz each
Step-by-step explanation:
2 boys and 2 girls
10 divided by 2 is 5, 5 is not an even number.
there would be 2 left after our calculation.
meaning that 2 in half's (hence .5) is 4 so each child would get 2.5 oz of paint.
Hope this helps, thanks :)
Answer: 2 1/2
Step-by-step explanation:
I need to know the answer asap
Answers
256 is the lateral surface area.
What's the lateral surface area?
Side indicates the side of commodity. thus, lateral surface area is set up by chancing the face area of the sides of the object.
This is done by chancing the border of the base and multiplying it by the height of any three- dimensional figure.
For the given situation,
The sides of the triangle are 5 cm, 6 cm, 5 cm.
The length of the prism = 16 cm
The formula for lateral surface area of triangular prism is
LSA = (perimeter)(length)
On substituting the above values,
LSA = (5 + 6 + 5)(16)
= (16)(16)
= 256
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At the shelter 0.6 of the animals are dogs, If there are 260 totally animals how many are not dogs?
Answers
Answer: 104
Step-by-step explanation:
If .6 or 60% of the animals in the shelter are dogs, then we can multiply .6 by 260 to get how many are dogs.
.6 times 260 is 156.
260-156=104.
Sal stands a candle up inside a paper bag, opened at the top. The candle and bag are both in the shape of right rectangular prisms. The dimensions, in inches, are given.
Length Width Height
Bag 2 4 8
Candle 1 2 3
Sal wants to put sand inside the bag surrounding the base of the candle. He wants the sand to be between 12 and 34 inches deep. How much sand, in cubic inches, should Sal put inside the bag? Select your answers from the drop-down lists
Answers
Sal should put the sand which is in between the amount of 3 cubic inches and 4.5 cubic inches inside the bag surrounding the base of the candle.
Base area of the bag = 4 × 2 = 8 in²
Base area of the candle = 2 × 1 = 2 in²
therefore, we know that base area to be filled with sand:
= 8 - 2 = 6 in²
now, height of sand is known to be between 1/2 and 3/4 inches,
therefore, we can make out that the volume of land is between 6 × 1/2 in³ and 6 × 3/4 in³
3 in³ and 4.5 in ³
therefore, amount of sand is between 3 cubic inches and 4.5 cubic inches, with this we know that Sal should put the sand which is in between the amount of 3 cubic inches and 4.5 cubic inches inside the bag surrounding the base of the candle.
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The graph plots four equations, A, B, C, and D:
Line A joins ordered pair negative 6, 16 and 9, negative 4. Line B joins ordered pair negative 2, 20 and 8, 0. Line C joins ordered pair negative 7, negative 6 and 6, 20. Line D joins ordered pair 7, 20 and 0, negative 7.
Which pair of equations has (4, 8) as its solution?
Equation A and Equation C
Equation B and Equation C
Equation C and Equation D
Equation B and Equation D
(It is not option D or A)
Answers
Answer: To find the equation that passes through (4, 8), we need to check which equation contains that point.
Line A has an equation of y = (2/5)x + (194/5). Plugging in x = 4, we get y = (2/5)(4) + (194/5) = 198/5, which is not equal to 8.
Line B has an equation of y = (-5/5)x + 30. Plugging in x = 4, we get y = (-5/5)(4) + 30 = 26, which is not equal to 8.
Line C has an equation of y = (13/13)x - 7. Plugging in x = 4, we get y = (13/13)(4) - 7 = -3, which is not equal to 8.
Line D has an equation of y = (-27/7)x + (491/7). Plugging in x = 4, we get y = (-27/7)(4) + (491/7) = 377/7, which is not equal to 8.
Therefore, none of the given equations has (4, 8) as its solution.
Step-by-step explanation:
Hello!
Please help me for this geometry problem
I appreciate it!
Answers
Answer:
x = 48
Step-by-step explanation:
given a line parallel to a side of a triangle and it intersects the other two sides, it divides those sides proportionally, that is
[tex]\frac{x}{18}[/tex] = [tex]\frac{56}{21}[/tex] ( cross- multiply )
21x = 18 × 56 = 1008 ( divide both sides by 21 )
x = 48
Determine the eccentricity for r=5/2+1sin theta
0. 5
5
2
1
Determine the equation of the directrix of r=26. 4/4+4. 4 cos theta
X=-6
Y=6
X=6
Answers
The eccentricity for r=5/2+1sin theta and the equation of the directrix of r=26. 4/4+4. 4 cos theta is 0.5 and x=6
To find the eccentricity of the polar equation r = 5/2 + 1sin(θ), we first need to convert it to rectangular form:
r = 5/2 + 1sin(θ)
r = 5/2 + 1y/r
r^2 = (5/2)r + y
x^2 + y^2 = (5/2)r + y
x^2 + y^2 = (5/2)√(x^2 + y^2) + y
x^2 - (5/2)√(x^2 + y^2) + y^2 = 0
We can see that this is the equation of a conic section, specifically an ellipse, since the signs of the x^2 and y^2 terms are the same. The standard form of an ellipse centered at the origin is:
x^2/a^2 + y^2/b^2 = 1
Comparing this to our equation, we can see that a^2 = (5/2) and b^2 = 1. The eccentricity of an ellipse is given by:
e = √(1 - b^2/a^2)
Plugging in our values, we get:
e = √(1 - 1/(5/2))
e = √(3/5)
e ≈ 0.5
Therefore, the answer is (A) 0.5.
To find the equation of the directrix for the polar equation r = 26.4/4 + 4.4cos(θ), we first need to convert it to rectangular form:
r = 26.4/4 + 4.4cos(θ)
r = 6.6 + 4.4x/r
r^2 = 6.6r + 4.4x
x = (r^2 - 6.6r)/4.4
We can see that this is the equation of a parabola, since the highest degree of the variable r is 2. The standard form of a parabola with its focus at (0, p) is:
y = (1/4p)x^2
Comparing this to our equation, we can see that p = -6.6/4 = -1.65. The directrix of a parabola is a line perpendicular to the axis of symmetry and located at a distance of |p| from the focus. Since the axis of symmetry is the x-axis, the equation of the directrix is:
y = 1.65
However, since the question asks for the equation of the directrix in terms of x, we can rewrite this as:
x = 0
Therefore, the answer is (C) x = 6.
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it is known that the length of time it takes a college student to find a parking spot in the library parking lot follows a normal distribution with a mean of 3.5 minutes and a standard deviation of 1 minute, 75 % of the colege students will take more than how many minutes when trying to find a parking spot in the library parking lot? O A. 32 minutes B. 42 minutes C. 28 minutes O D. 3.4 minutes
Answers
75 % of the college students will take more than 4.25 minutes when trying to find a parking spot in the library parking lot.
What is experimental probability?Actual experiments and sufficient documentation of the occurrence of occurrences serve as the foundation for experimental probability, sometimes referred to as empirical probability. A number of real experiments are carried out in order to ascertain the likelihood of any event. Random experiments are studies that don't have a predetermined outcome. The results of such tests are unpredictable. The chance of random experiments is calculated repeatedly. A trial is a repeating of an experiment that is performed a certain number of times.
Given that, mean of 3.5 minutes and a standard deviation of 1 minute.
Now, for 75% we have:
P(X > x) = 0.75
The z-score is given by:
0.75 = (X - μ) / σ
Substituting the formula we have:
0.75 = (X - 3.5) / 1
0.75 = X - 3.5
X = 0.75 + 3.5 = 4.25.
Hence, 75 % of the college students will take more than 4.25 minutes when trying to find a parking spot in the library parking lot.
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what is 46x squared times 24x squard
Answers
Answer:
the answer to ur question is: 1218816
What is the remainder when \( f(x)=-6 x^{23}+x^{11}-x^{6}+2 x \) is divided by \( x+1 \) ? The remainder is
Answers
The remainder when f(x)=-6x^23+x^11-x^6+2x is divided by x+1 is -7.
Explanation: In this question, we can solve the problem by using the Remainder Theorem. The remainder theorem states that when we divide a polynomial f(x) by x−a then we get a remainder equal to f(a). So, here we can take a=−1 and find the remainder of f(x).
Here is the given polynomial,
()=−6^23+^11−^6+2
We are asked to find the remainder when f(x) is divided by x+1. Using the remainder theorem, we can find the remainder of f(x) by evaluating f(−1).
(−1)=−6(−1)^23+(−1)^11−(−1)^6+2(−1)=6+1+1−2=6
Now, we have the remainder as 6. However, we need the remainder when f(x) is divided by x+1. The relationship between the remainder and the divisor of a polynomial is that when we divide a polynomial f(x) by x−a, we get a remainder of r(x) such that:
()=(−)()+()
where q(x) is the quotient of the division.
So, the question asks us to divide the polynomial f(x) by x+1 and get the remainder. Here is the long division of f(x) by x+1:
The remainder is −7. Therefore, the remainder when f(x) is divided by x+1 is -7.
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