8 In a chess tournament, each participant earns 1 point for each game the participant plays that ends in a draw and 3 points for each game the participant wins. A certain participant in this tournament has earned 41 points. Which equation represents this situation, where d represents the number of games this participant has played that ended in a draw and w represents the number of games this participant has won?
4753 items match
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9 = + The function g is defined by g x x 300. ^ h What is the value of g x when x = 81? ^ h
1 + 5x4y+ Which expression is equivalent to 6x?
10 y 6600/5500 555555/444455 4400/30 33355/25 20/10 15/5 x ‒15 ‒10 ‒5 O 5 10 15 The shaded region shown in the graph represents all the solutions to which inequality? #
11 There are 240 players in a tennis competition that includes 4 rounds of matches. Each player in the competition will play a match against another player in round 1. At the end of each round, the player who loses the match is eliminated and the player who won the match advances to the next round to play a match against another winning player. Which equation gives the number of players, p, eliminated # at the end of round r, where r 4? 1 r =
12 = + Line k is defined by y 6x 4. Line j is parallel to line k in the xy-plane and passes through the point 0,5. Which equation defines line j? ^ h
13 In the triangle shown, what is the value of x?
14 What is the radius of the circle in the xy-plane defined by x + 2 + y + 5 = 169? ^ h^2 ^ h^2
15 y 350 300 250 200 150 100 50 x O 50 100 150 200 250 ‒50 ‒100 ‒150 ‒200 The graph shows the estimated boiling point y, in degrees Celsius, of a normal paraffin with a molecular weight of x grams per mole, where 1 # x # 280. Which statement is the best interpretation of the point 149.02,186.05? ^ h
16 For the polynomial function f, the graph of = y f x in the xy-plane passes through the points ^ h -5,0, 1,0, and 4,0. Which of the following ^ h ^ h ^ h must be a factor of f x? ^ h
17 x g x ^ h 1 32 2 28 3 24 4 20 For the linear function g, the table shows four values of x and their corresponding values of g x. The ^ h = + function can be written as g x mx b, where m ^ h and b are constants. What is the value of b?
18 x 24 30 32 f x -8 -8 8 ^ h For the quadratic function f, the table shows three values of x and their corresponding values of f x. ^ h Which equation defines f?
19 A certain open star cluster contains M-type stars and K-type stars. The estimated total mass of M-type and K-type stars in this open star cluster is 127,882quettagrams. The graph shown models the possible combinations of the number of M-type stars, x, and K-type stars, y, that could be in this open star cluster if all the M-type stars have the same estimated mass and all the K-type stars have the same estimated mass. Based on the graph, which of the following is closest to the estimated mass, in quettagrams, of each M-type star in this cluster?
2 To study the characteristics of sea stars in a group of tide pools, researchers measured the diameter of the sea stars within the tide pools. The dot plot gives the diameter, to the nearest inch, of each of the sea stars in these tide pools. 16 17 18 19 20 Diameter (inches) Based on the dot plot, how many sea stars had a diameter, to the nearest inch, of 16 inches?
20 9 3 = p^2 t^7 > > In the given equation, p 1 and t 1. If 1 t = p^3n^-, where n is a constant, what is the value of n?
22 f x = - 6x^2 + 60x - 126 ^ h The function f is defined by the given equation. Which of the following equivalent forms of the equation displays the maximum value of the function as a constant or coefficient?
23 In the figure shown, WZ and XY intersect at = = point Q, YQ 21, WQ 70, WX 60, and XQ = 120. What is the length of (=)/YZ?
24 52 x^3 + 64 x^4 - 81 = 0 ^ h^ h How many distinct real solutions does the given equation have?
25 The histogram summarizes data set A, which represents the number of points per player earned by 50 players of a game. A new player earns 18 points playing the game, and this number of points is added to data set A to create data set B with 51 values. Which of the following must be true? I. The median number of points per player for data set B is less than the median number of points per player for data set A. II. The mean number of points per player for data set B is less than the mean number of points per player for data set A.
26 In triangle XYZ, the measure of angle X is 90°. Point W lies on segment YZ, and segment WX is perpendicular to segment YZ. The length of segment WY is 572, and the length of segment WX is 429. What is the value of tanZ? 3
27 An area of 46.00 square nautical miles is equivalent to k square kilometers. To the nearest tenth, what is = the value of k? 1nauticalmile 1.852kilometers ^ h
3 A rectangle has a length of 56 inches and a width of 28 inches. What is the area, in square inches, of the rectangle?
4 = 10x 110 - = 6x 63 y The solution to the given system of equations is x,y. What is the value of y? ^ h
5 The function f is defined by f x = 9 2x + 3. For ^ h ^ h = what value of x does f x 63? ^ h
6 = 10x 86 What value of x is the solution to the given equation?