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parabola and its vertex
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Mathematics, 21.06.2019 22:30
Write the equation of a line that is perpendicular to the given line and that passes through the given point. β3x β 6y = 17; (6, 3) y = x β 9 y = 2x β 9 y = β2x β 9 y = x + 0 3. is the relationship shown by the data linear? if so, model the data with an equation. x y 1 5 5 10 9 15 13 20 the relationship is linear; y β 5 = (x β 1). the relationship is not linear. the relationship is linear; y β 5 = (x β 1). the relationship is linear; y β 1 = (x β 5). write an equation in point-slope form for the line through the given point with the given slope. (β10, β1); m = y + 10 = (x + 1) y β 1 = (x β 10) y β 1 = (x + 10) y + 1 = (x + 10) 5. write an equation for each translation of . 6.5 units up y + 6.5 = | x | y = | 6.5 x | y = | x | + 6.5 y = | x | β 6.5 6. write an equation for each translation of . 5.5 units right y = | x | + 5.5 y = | x β 5.5 | y = | x | β 5.5 y = | x + 5.5 | 7. which equation translates y = | x | by 8 units to the left? y = | x | β 8 y = | x | + 8 y = | x β 8| y = | x + 8|
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Mathematics, 22.06.2019 05:00
Three consecutive even numbers have a sum between 84 and 96. a. write an inequality to find the three numbers. let n represent the smallest even number. b. solve the inequality. a. 84 β€ n + (n + 2) + (n + 4) β€ 96 b. 78 β€ n β€ 90 a. 84 < n + (n + 2) + (n + 4) < 96 b. 26 < n < 30 a. 84 < n + (n + 1) + (n + 2) < 96 b. 27 < n < 31 a. n + (n + 2) + (n + 4) < β84 or n + (n + 2) + (n + 4) > 96 b. n < β30 or n > 31
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Mathematics, 22.06.2019 06:00
1. which answer is the solution set to the given inequality? 2x+6< 8 a. x e (-β,1) b. x e [1,β) c. x e (1,β) d. x e (-β,1] 2. which answer represents the given compound inequality in interval notation? xβ₯12 or x< -4 a. x e [-4, 12) b. x e (-β, -4) u [12,β) c. x e (-β, -4] u (12,β) d. x e (-4,12] 3. which answer is the solution set of the given compound inequality? 7> x+6 or x-2β₯3 a. x e (-β, 1) u [5,β) b. x e (1, 5] c. x e (-β, 1) β© [5,β) d. x e [1,5) 4. which conjunction or disconjunction is equivalent to the given absolute value inequality? |x+3|> 12 a. x+3> 12 and x+3< -12 b. x+3< 12 and x+3> -12 c. x+3< 12 or x+3> -12 d. x+3> 12 or x+3< -12
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