Answer: dividing polynomials calculator with work ; math dilation worksheet ; practise to learn conversions grade 6 ; answers for language problems ; 2x = 4 WebPassword requirements: 6 to 30 characters long; ASCII characters only (characters found on a standard US keyboard); must contain at least 4 different symbols; We know that, Ifthe slopes are the same and the y-intercepts are different, thelines are parallel. y = 7 3x Hence, The centroid of a triangle is the center point equidistant from all vertices. (x1, y1) = (2, 10) and (x2, y2) = (4, 15) Is 12 between the lowest (5) and highest (25) y values for the vertices? Question 1. The representation of f (x) and g (x) in the same coordinate plane is: Now, So, \(\frac{1}{5}\)x = 3 Explain your reasoning. n(x) = \(\frac{1}{2}\) | x 6 | The given function is: Explain your reasoning. Where, Hence, We can conclude that the given table is a function since each input value matches with each output value, Question 2. We can conclude that the graph of h is a vertical shrink of the graph of f when a = \(\frac{1}{3}\), b = 1, c = 0, and d = 0. b. The Big Ideas Math Algebra 1 Answer Key Ch 3 Graphing Linear Functions includes Questions from Exercises 3.1 to 3.7, Chapter Tests, Practice Tests, Cumulative Assessment, Review Tests, etc. y = -500 (0) + 3000 a \(\frac{5}{2}\). g(3) = -3 1 = -4 The given functions are: The y-intercept is: 3000 Graph r when r(0) = 12. 2x = 21 2x + 3y = 9xy So, 5k = -10 6 Answer: The given relation is: The representation of the given absolute value function in the coordinate plane is: (x1, y1) = (5, -12) and (x2, y2) = (5, -9) -x + 8y = 4 12,000,000 = 300,000 (t) y represents the amount in dollars The function t(x) = -4x +72 represents the temperature from 5 P.M. to 11 P.M., where x is the number of hours after 5 P.M. Explain your reasoning. So, Answer: The range of the given function is: 20 y 70, b. Question 30. From the graph, Answer: The given graph is: Answer: Hence, from the above, y= f (-x) So, Using f, graph (a) g and (b) h. Describe the transformations from the graph of f to the graphs of g and h. Question 1. x < 5 7 and x > -5 7 We know that, Now, The given ordered pairs are: The range of f (x) is: 0 y 10 (5, 4), (2, -3) (a) Describe the transformations from the graph of f(x) = | x | to the graph of g. The Calculator can calculate the trigonometric, exponent, Gamma, and Bessel functions Now, So, Explain. The domain of the given function is: - to = 75 So, We can conclude that (4, -3) does not belong with the other three. Hence, from the above, Answer: Hence, So, k(x) = \(\frac{1}{2}\)x + 4 Now, the range is defined as the set of all the values of y We can conclude that the given graph is a linear function. The domain is the set of all the values of x that holds the given equation true The given graph is: Match each function with its graph. = \(\frac{4}{2}\) The given equation is: We can conclude that the given graph is not a function, Question 8. m is the slope g (x) = 3x + 3 or g (x) = -3x + 7, c. Answer: 615-632. y = mx + c Now, f (x) = | x 3 | + 8 Answer: Answer: y = (180 4(0) ) / 6 For a function, each input must be matched with a single output Seven is at most the quotient of a number d and -5 Now, Answer: x represents the input The representation of the slope and the y-intercept in the standard form of the linear function s: y = 24 3x MULTIPLE REPRESENTATIONS x represents the independent variable Hence, The given equation is: The representation of n (x) in the coordinate plane is: y = 30 / 3 Area of the rectangle (A) = Length Width Then classify each equation based on the solution. Answer: As the translation between the values of x and y in the given point is 2, Explain why the relation that pairs letter-number combinations with food or drink items is a function. h (0) = 2 h (x) = \(\frac{3}{4}\) (4x + 8) It is also given that the team misses all the 1-point baskets and still scores 54 points. A football team has an away game, and the bus breaks down. d. y is the number of long-sleeved shirts. y = \(\frac{3 x}{5}\) What enclosed shape do the lines form? We can observe from the table that the difference between the values of x and y is constant Question 33. We can say that the slope is represented as: Question 16. y = | x | + 10. Hence, Q(x) = 16x 200 So, 3x = -3 g(-2) = -[-2] + 4 = 2 + 4 = 6 y is the number of 3-point baskets made. Is the domain discrete or continuous? 0 = -500x + 3000 Answer: We can conclude that the given relation is a function, Question 3. The y-intercept is the point that cuts the y-axis and x must be 0 g (x) = 3x + 3 or g (x) = -3x + 2 + 5 The value of the x-intercept is: 27 x is the cost of extra grooming services Hence, The representation of the rectangle after the transformation in the coordinate plane is: Question 55. So, g (x) = -3x + 4 + 1 Quickly review your x values: 4, 20, and 30. y = -x + 1 Let, For a given function to be a linear function, it will be in the form The x-intercept of the given equation is: 6. We know that, Answer: You only use your account for paying your rent (no other deposits or deductions occur). Answer: Question 16. Answer: f (x) = -x From the graphs, We can conclude that the given relation is not a function, Question 6. a. Hence, Where, You can use letters other than f to name a function. We know that, What is the maximum number of months you can pay your rent without receiving a text alert? Answer: USING STRUCTURE Hence, 4x + 3y = 12 (Section 3.5), Question 68. g (x) = f (x) 3 or g (x) = f (x) 1 or g (x) f (x) (1/2) Hence, Hence, from the above, The given choice of words to make the given statements true is: We can conclude that the transformations are a vertical stretch by a factor of 4 followed by a vertical translation of 2 units down. The given values of constants are: 3x = k The given function is: Question 59. Answer: Question 46. Answer: We can conclude that the solutions to the given equation are: (3, 16) and (6, 14). We can conclude that Answer: The dependent variable of the given function is: y, b. We can conclude that you make the shot. Answer: The representation of the ordered pairs in the coordinate plane is: The y-intercept of the given equation is: -6. How does the graph of the linear function f(x) = x compare to the graphs of g(x) = f(x) + c and h(x) = f(cx)? x = 12 \(\frac{5}{4}\) y = x(2 x) Now, So, Is the domain discrete or continuous? We can conclude that the domain is continuous by observing the graph, Question 8. a. f(5) is equal to 9. Question 46. The given points are: x + 2y = 6 Reflection in the y-axis means if f (x) is +ve, then the reflection of f (x) will be -ve and vice-versa Hence, Answer: From the graph, m = -3 and c = 3 (x1, y1) = (-4, 3) and (x2, y2) = (1, 1) So, Hence, from the above, We can conclude that the slope of the given graph is: \(\frac{5}{2}\), Question 5. Work with a partner. h(t) = 500t 10,000 Graph an absolute value function f that represents the route a wide receiver runs in a football game. y = 2x + 7, c. (4, 3), (1, -1) The given graph is: The given equation is: We know that, m = \(\frac{-4}{5}\) Question 45. 2x y = 4 x = -3 and y = 0 The values of m and c are: 0 and 8, Question 8. The linear function is: 9y = -18 The domain of t (x) is: -3 x 3 Your friend claims he can create a table of values that represents a nonlinear function. c. H(27) 61 Hence, from the above, As soon as class starts, quickly review your notes from the previous class and start thinking about math. The input 2 has 2 outputs i.e., (2, 0), and (2, 2) 5x 6 = 10x + 10 Sketch the graph of each function, along with f, on the same set of coordinate axes. The representation of the given function in the coordinate plane is: Now, Comparing Graphs of Functions Answer: Answer: g (x) = \(\frac{1}{2}\)x + 8 + 0 Answer: Hence, from the above, We can observe that the values of F vary from - to The real-life problem that fits the given graph is: Now, We can observe that the translation occurs at (1, 0) of f (x) x = 6 Now, The representation of g (x) in the coordinate plane is: Determine whether the relation is a function. The given equations are: We can observe that the graph is not a straight line Step 1: The coordinate values are already given. The representation of the solution of the given inequality in the graph is: Question 40. 4 (0) + 10y = 20 Hence, from the above, The given worded form is: So, The representations of the given four equations in the coordinate plane is: A linear function h models a relationship in which the dependent variable decreases 2 units for every 3 units the independent variable increases. f (a + b) is not equal to f (a) + f(b), Solve the inequality. Answer: (3, 3), (-3, 1) H(27) 61 From the above graph, c. h(x) = f(x) + 2 The slopes of f (x) and g (x) are the same and only the y-intercepts differ in f (x) and g (x) From the given graph, 12y = 300 y = 20 HOW DO YOU SEE IT? | x | = x for x > 0 Answer: We can say that we can connect the points in the graph, Question 8. The graph shows the elevation of the climber over time. We can take any 2 pairs of the input and output values to find the slope Where, The representation of the given equation in the coordinate plane is: Question 5. Explain. m = 30 3r The value of x is: 2, Explanation: d is the independent variable f (x) = | x h | + k m = 4 and c = -7 f(x) = x + 2; g(x) = \(\frac{2}{3}\)x + 2 Hence, x represents the input Now, Your friends distance f is given by the function f(t) = d(t 5). Hence, from the above, Hence, To find the missing vertex, we will use the fact that the coordinates of the centroid are the average of the x and y coordinates of the vertices. So, The representations of f(x) and g (x) in the same coordinate plane are: Explain. a. y = mx + c The standard representation of a linear function is: Answer: The given relation is: Compare the above equation with [3] Over time, different textures of granule matter were tested to see which gave the most constant flow within the bulbs. Compare the above equation with the standard form of the linear equation The given absolute value functions are: A (a, b), B (-a, b), C (a, -b), and D (-a, -b) v(t) = 1020t Hence, from the above, The function y = 10x + 100 represents the amount y (in dollars) of money in your bank account after you babysit for x hours. The representation of the equation in the standard form is: g (x) = \(\frac{1}{2}\) ( x 3 ) 5 The table shows sample labor costs from its main competitor, Master Remodeling. So, Hence, from the above, The given absolute value function is: So, We can conclude that the given statement does not use the word function in a way that is mathematically correct. a. Graph the function. t = 12,000,000 / 300,000 b. The given points are: (-3, 1), (1, -4) x = 5 USING STRUCTURE A single input has multiple outputs. ANALYZING A GRAPH | x | = x for x > 0 Swiss cheese costs $8 per pound. Answer: The given absolute value function is: The given function is: We know that, The given function is: f(x) = | x 1 | + 2; g(x) = 4 | x 1 | + 8 t (x) = -3 | x | The values you and your friend use are: Question 2. Answer: So, Divide both sides by B So, It is given that, The given functions are: Compare the above equation with y = 2x + 6 The circumference of a square is four times one of its sides. But the Y-coordinates are transformed into their opposite signs. The points represented by the table lie on a line. The fact that the hourglass also used granular materials instead of liquids gave it more accurate measurements, as the clepsydra was prone to get condensation inside it during temperature changes. Hence, from the above, x = 3000 / 500 We know that, y = 30 + 5(0) = 30 Now, m = 0 Let x be the number of adult tickets x + y = -6 Does the table or equation represent a linear or nonlinear function? So, The representation of the given statement in terms of f (x) is: h. The same television station x can be found on more than one channel y. We can conclude that the slope of the given line is: 0. Question 21. The representation of f (x) and n (x) in the coordinate plane is: The y-axis represents the distance in miles The representation of the given linear equation along with the x-intercept in the coordinate plane is: Question 32. The standard representation of the linear function is: From 10 to 14 seconds, f(x) = x; h(x) = -3x 4 Rewrite the given equation as: So, t = 4(1) = 4 a. h (x) = 3 | x 2 | + 5 We know that, We know that, ATTENDING TO PRECISION In Exercises 3134, determine whether the statement uses the word function in a way that is mathematically correct. We can conclude that h (x) translated 4 units away from f (x) towards the positive x-axis. 3 x + 6 . y = mx + c Hence, from the above, Rewrite the given equation in the form of y = mx + c h (x) = 3x + 6 But, the given equation is not in the form of y = mx + c m = \(\frac{5}{100}\) h (x) = \(\frac{3}{2}\)x + \(\frac{4}{2}\) From the given graph, A typical graphing calculator screen has a height to width ratio of 2 to 3. The formula is: Where the centroid is O, Ox = (Ax + Bx + Cx)/3 and Oy = (Ay + By + Cy)/3. The given expression is: h (x) = \(\frac{1}{2}\) (3x + 4) x = -2 and y = +5 (10, 0.5), (14, 0.5) y = | ax | Question 23. We can conclude that the given relation is a function, Question 4. The given absolute value function is: Your family goes on vacation to a beach 300 miles from your house. x represents the price Hence, So, The given absolute value function is: The domain is the set of all x-values y = mx + c Answer: The y-axis shrink by 50. Difference betwwen Function notataion and standard notation: MODELING WITH MATHEMATICS The x- and y-intercepts of the graph of the equation 3x + 5y = k are integers. C = 32 + F C = 32 1 = 31F Describe two real-life patterns: one that is linear and one that is nonlinear. It is given that the functions f and g are linear functions So, The x-axis shrink by a factor of 2 b. The given equation is: Now, x + 3y = -9 The profits of a school obtained by a school before playoffs and during the playoffs The new rectangle is formed at (-1, -3) at the x-axis and at (-4, -8) at the y-axis Rewriting and Graphing an Equation

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