Date: Section %3D Practise: The Quadratic Relation y = ax + c 8.3 1. Without graphing, order the quadratic relations from narrowest to widest. iii) m = 2p + 3 ii) y = x + 3 a) Dy=글고+ 3 Order: ii) r = 4 iii) y = b) i) y = -4 Order: 13
Q: FIND THE FIXED PoINTS OF
A: To find- Find the fixed points of x˙ = 1 - x2 - y2y˙ = x
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A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…
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A: To check: If the points (1, 0,−1), (0, 2, 3), (−2, 1, 1), and (4, 2, 3) lie in the same plane and…
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A: example of three planes that have a common line of intersection
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A: To explain: the consistent and inconsistent system for 3 planes.
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A:
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Q: 9. What on does the discriminant give about a quadratic relation?
A: Given, Discriminant of a quadratic equation.
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A: Length and direction of vectors
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A: We have to prove that the quadrilateral given is a Square
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A: STATEMENT : LET T be a contraction mapping defined on a complete metric space X .…
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Q: describe the sets of points in space whose coordinatessatisfy the given inequalities or combinations…
A: We have to mention the sets of points in space whose coordinates satisfy the given inequalities…
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A: Describe the sets of points in space whose coordinates satisfy the given inequalities or…
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A:
Q: Sketch a graph of the plane y = −2 and label any intercepts.
A: Given y = −2 .
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A: Fixed point: Let f be any function. A point x0 in its domain is said to be fixed point if fx0=x0.
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A:
Q: 9. Quadrilateral ABCD with vertices A(-2,0), B(0,4), C(5,5), and D(8,2) will be graphed in the…
A: The graph is shown below:
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A:
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A: Given quadratic relations are a) y = (x - 9)2 b) y = (x + 2)2 c) y = (x - 5)2
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A: →Axis passing through the minimum point is the axis of symmetry.→Try to write the equation of…
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A: Given: 0≤x≤1 solution sets for given inequality can be represent on number line as below
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Q: use graph of fX): 2* to sketch graph of transfirsadion h (x) - 2x-3 %3D
A: The parent function is fx=2xTo graph hx=2x-3wx=2x-1y=fx+5
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A: First we will find the slope.
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A: We will solve the following.
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A: Here is the solution of the given problem.
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- A particular two-player game starts with a pile of diamonds and a pile of rubies. Onyour turn, you can take any number of diamonds, or any number of rubies, or an equalnumber of each. You must take at least one gem on each of your turns. Whoever takesthe last gem wins the game. For example, in a game that starts with 5 diamonds and10 rubies, a game could look like: you take 2 diamonds, then your opponent takes 7rubies, then you take 3 diamonds and 3 rubies to win the game.You get to choose the starting number of diamonds and rubies, and whether you gofirst or second. Find all starting configurations (including who goes first) with 8 gemswhere you are guaranteed to win. If you have to let your opponent go first, what arethe starting configurations of gems where you are guaranteed to win? If you can’t findall such configurations, describe the ones you do find and any patterns you see.In baseball, League A allows a designated hitter (DH) to bat for the pitcher, who is typically a weak hitter. In League B, the pitcher must bat. The common belief is that this results in League A teams scoring more runs. In interleague play, when League A teams visit League B teams, the League A pitcher must bat. So, if the DH does result in more runs, it would be expected that league A teams will score more runs in League A park than when visiting League B parks. To test this claim, a random sample of runs scored by league A teams with and without their DH is given in the accompanying table. Complete parts c) through d) below.Consider a two-player game that is set up with two piles of stones. The two players are taking turns removing stones from one of the two piles. In each turn, a player must choose a pile and remove one stone or two stones from it. The player who removes the last stone (making both piles empty) wins the game. Show that if the two piles contain the same number n ∈ Z+ of stones initially, then the second player can always guarantee a win.
- XYZA1,22,25,1B4,13,53,3C5,24,47,0D2,30,43,0 Which player or players have a strictly dominant strategy in this game? Group of answer choices Player 1 Player 2 Both Players 1 & 2 NoneWrite an essay that explains how the Conway’s Game of Life is played and some of the reasons why it continues to be a popular game.Suppose 59 percent of the customers at Pizza Palooza order a square pizza, 73 percent order a soft drink, and 40 percent order both a square pizza and a soft drink. Is ordering a soft drink independent of ordering a square pizza? multiple choice Yes No
- The 3-card Thriller game costs $3 to play and involves a 3-card deck where: • one card has red on both sides• one card has black on both sides• one card has red on one side and black on the other side. Once you pay, the host running the game draws a single card at random from the 3-card deck and shows you the colour of one of it’s sides. If you can correctly guess the colour of the other side of this card (the side you can’t see) you win $7. If you guess incorrectly you get nothing (i.e. $0, and a deep feeling of shame...). Prove that the expected value of this game is greatest when you always guess the same colour. Include a full mathematical expla- nation of all probabilities and include any references or sources.Nigel and Sofia play the following game. Each of them roll a fair six-sided die once. IfSofia’s number is greater than or equal to Nigel’s number, she wins the game. But ifSofia rolled a number smaller than Nigel’s number, then Nigel rolls again. If Nigel’ssecond roll gives a number that is less than or equal to Sofia’s number, the game endswith a draw. If Nigel’s second roll gives a number larger than Sofia’s number, Nigelwins the game.Find the probability that Nigel wins the game and the probability that Sofia wins thegame.In a Stackelberg game, what is the best response that follower firm 2 can make to the choice y1 already made by the leader, firm 1?
- A bag contains 16 red coins, 8 blue coins, and 8 green coins. A player wins by pulling a red coin from the bag. Is this game fair?To raise money for the local Veterans Affairs hospital, your friend organizes a fundraiser, inviting you to play a two-stage game where you pay $8 to play. The game works as follows: a fair 8-sided die is rolled, noting the number shown, and a spinner divided into 4 equal regions of different colors (blue, red, green, orange) is spun, noting the color. If the die shows 3 or the spinner shows orange, then you win $21. If the die shows an even number and the spinner does not show orange, then you win $9. Otherwise, you do not win anything. Let X be your net winnings. (a) Create a probability distribution for X. Enter the possible values of X in ascending order from left to right. All probabilities should be exact. X P(X) (b) Compute your expected net winnings for the game. Round your answer to the nearest cent. $ (c) Is this game fair? Yes NoRoll and spin is a game that contains 2 dice and a four sided spinner. To play this game, you will need another player If you roll the dice and get an even # , you will have to roll again but if you get an odd number you can spin the spinner Spinner contains the colours Red,green,yellow,blue Getting an odd number gets the opportunity to spin the spinner In order to win the game you must have rolled an odd number And spun the spinner and landed on the colour red Probability Distribution (Theoretical): - Define your discrete variable which will be the focus of your investigation (e.g., Let X represent the number of movement squares that a player’s token moves or the number of points won or lost in each turn), - Generate a theoretical probability distribution chart of the opening move of your game (I.e., ONE task, Two stages). You will focus on all possible outcomes for the first move ONLY! Recall that a probability distribution chart summarizes all outcomes and their respective…