What is the value of h when the function is converted to vertex form? Note: Vertex form is f(x)=a(x−h)2+k . f(x)=x2+10x+35 Enter your answer in the box. h = What is the minimum value for h(x)=x2−16x+60? Enter your answer in the box. y = What are the x-intercepts of the quadratic function? f(x)=x2−3x−10 Enter your answers in the boxes. Let ​ f(x)=x2+17x+72 ​ . What are the zeros of the function? ​Enter your answers in the boxes. ​ and Let ​ f(x)=x2−8x+19 ​ . What is the minimum value of the function?​ Enter your answer in the box. ​

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general 6 months ago 2551

The steps to derive the quadratic formula are shown below: Step 1 ax2 + bx + c = 0 Step 2 ax2 + bx = − c Step 3 x2 + (b / a)x = - c / a Step 4 x2 + (b / a)x + b ^2 / 4a^2 = (- c / a) + (b^2 / 4a^2) Step 5 x2 + (b / a)x + b ^2 / 4a^2 = (-4ac / 4a^2) + (b^2/4a^2) Step 6 x^2 + b / 2a = (b^2 - 4ac) / (4a^2) Step 7 x + b / 2a = +- square root of b^2 - 4ac / 4a^2 = +- square root of b^2 - 4ac / 4a Step 8 x = −b / 2a +- square root of b ^2 - 4ac / 2a Step 9 x = (- b +- square root of b^2 - 4ac) / (2a) Which of the following is the first incorrect step? A) Step 4 B) Step 6 C) Step 7 D) Step 8

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general 6 months ago 4522

Corresponding angles of ΔABC and ΔDEF are congruent. Does this prove that the triangles are congruent? Justify. A) yes; AAA guarantees that all corresponding parts of the two triangles are congruent. B) yes; AAA guarantees similarity and congruency because the triangles must have equal sides to have equal angles. C) no; AAA only guarantees similarity because the lengths of the sides of the two triangles are not necessarily equal. D) yes; AAA guarantees congruency because if at least two angles of a triangle are congruent to each other, then the triangles are congruent. Eliminate

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general 6 months ago 8579

99 POINTS!!!QUESTION 1Taven mixes 18 liters of 14% acid solution with a 35% acid solution, which results in 23% acid solution.Let x represent the number of liters of 35% solution used and let y represent the number of liters of mixture. Which system of equations can be used to find the number of liters of 35% acid solution in the mixture?y = x + 18; 0.23y = 0.35x + 4.14y = x + 18; 0.14y = 0.35x + 4.14y = x + 18; 0.35y = 0.23x + 2.52y = x + 18; 0.23y = 0.35x + 2.521 points QUESTION 2Faith mixes 14 liters of 12% acid solution with a 30% acid solution, which results in an 18% acid solution.Let x represent the number of liters of 30% acid solution used, and let y represent the number of liters of mixture. Which system of equations can be used to find the number of liters of 30% acid solution in the mixture?y = x + 14; 0.12y = 0.3x + 4.2y = x + 14; 0.18y = 0.3x + 4.2y = x + 14; 0.12y = 0.3x + 1.68y = x + 14; 0.18y = 0.3x + 1.681 points QUESTION 3Marie mixes 16 liters of 78% acid solution with a 25% acid solution to make a 41% acid solution.How many liters of 25% solution did she use?8 liters12 liters13.7 liters37 liters1 points QUESTION 4Marie mixes 16 liters of 18% acid solution with a 27% acid solution to make a 21% acid solution.How many liters of 27% solution did she use?8 liters12 liters13.7 liters16 liters1 points QUESTION 5Faith mixes 14 liters of 12% acid solution with a 30% acid solution to make an 18% acid solution.How many liters of 30% solution did she use?12 liters7 liters21 liters4.7 liters

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general 6 months ago 7887

The graph below shows the numbers of cups of apple juice that are mixed with different numbers of cups of lemon-lime soda to make servings of apple soda: A graph is shown. The values on the x axis are 0, 1, 2, 3, 4, 5. The values on the y axis are 0, 6, 12, 18, 24, 30. Points are shown on ordered pairs 0, 0 and 1, 6 and 2, 12 and 3, 18 and 4, 24. These points are connected by a line. The label on the x axis is Lemon -Lime Soda in cups. The title on the y axis is Apple Juice in cups. What is the ratio of the number of cups of apple juice to the number of cups of lemon-lime soda? 1:24 24:1 1:6 6:1

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general 6 months ago 7665