Solve then sketch graph the following quadratic inequalities in one variable. 1. x2 + x - 6 > 0 3. x2 + x – 12 N 0 2. 2x2 + 3x – 2 <0 4. x2 – 5x + 4 <0

Q: 5 Solve each of the following inequalities, giving your answer using set notation: {x : |x| 2} { x…

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Q: Graph the following Linear Inequalities. 4x + 2y ≤ − 10

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Q: Discuss the possibilities for the number of times the graphs of two different quadratic functions…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 4. m2-7m 0

A: Given, m2-7m≤10orm2-7m-10≤0

Q: Show that the equation x3 - 15 x + c = 0 has at most oneroot in the interval [-2, 2] .

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Q: Solve the following incqualities |1 +1> 2

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Q: x22 y<4x 3x-2y26

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Q: Solve the inequalities. 4x с. 4x? b. 4x? d. 4x2 а. 12x + 9 0 12x + 9 > 0 - -

A: In this question, we have to solve four inequalitiesa. 4x2 - 12x + 9 &lt; 0b. 4x2 - 12x + 9 ≤ 0c.…

Q: Solve the inequalities. > 0 b. x + 4 а. x + 4 < 0 с. x + 4 d. x + 4

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Q: - Solve the following rational inequalities: 3x a. x2-16

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Q: Find all solutions that satisfy the following inequalities: 4x + 2 a +3

A: 4x+2x+3≤ x To find the solution

Q: b) Solve the following inequalities. (i) -5 9

A: Given i) -5&lt;1-2x≤9ii) 13|6+2x|&gt;9

Q: Solve the following inequalities. a) a+5| 3

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Q: graph each of the inequalities. 2x + 5y &gt; -4

A: Given: 2x+5y&gt;-4 At x=0; 2(0)+5y&gt;-45y&gt;-4y&gt;-45y&gt;-0.8 At y=0.…

Q: Solve the following inequalities 1.> 2. -21<4

A: Since you have posted multiple subparts question in this question so I have solved first three parts…

Q: Solve the following systemof inequalities8x + 3y ≤ 100 ... (1)x ≥ 0 ... (2)y ≥ 0 ... (3)

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Q: Which equation represents the graph of a quadratic function that has a vertex located at (-3, -1)?…

A: To find: The equation of quadratic function that have vertex located at -3,-1. Formula used: The…

Q: Solve each of the following inequalities. 2(x + 1) + 3(x + 2) &lt; 5(x - 3)

A: 2x+1+3x+2&lt;5x-3 Simplify left side  2x+1+3x+2&lt;5x-32x+2 +3x+6 &lt;5x-155x+8&lt;5x-15 Collect…

Q: 2. Select the coordinates of the vertex for the quadratic relation. a. (0, 5) b. (2, 4) c. (1, 1) d.…

A: Given, The quadratic equation  y=-0.5x2+5 We have to find the coordinates of the vertex for the…

Q: Solve the following Inequalities and graph the solution set on a real number line. Please show all…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Q6. Use the graph of the quadratic function sho 5 5. to solve the inequality y > 0 1 5 1 > x > 5 1…

A: Observe the graph and select the values of x for which curve is above the x - Axis.

Q: billions of​ dollars) for the years 2010 to 2015 can be approximated by the following quadratic​…

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Q: graph each of the inequalities. 3x + 2y ≤ 4

A: Consider the given inequality as 3x+2y≤4

Q: Which of the following inequalities represents the graph shown below? 1 1 Your answer: yS-2x +4 y2 -…

A: Given problem:-

Q: Q2) Solve the following inequalities and show their solution set 1-3+6x 3x+9

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Q: -11 4y + 17 > 6(1+x)< -48 6x – 10 < (-20 + 4)(x – 1)

A: An equation is a statement in which two algebraic expressions are equal. If the equation is of the…

Q: 1. Which of the following inequalities matches the graph? -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 D. x…

A: (1) Which of the following inequalities matches the graph? (A) x≥-6 (B) x&gt;-6 (C) x≤-6 (D)…

Q: solve each of the inequalities. (-5( y - 1) + 3) &gt; (3y - 4 - 4y)

A: -5y-1+3&gt;3y-4-4y

Q: Solve and graph the solutions of each of the following inequalities. 5x - 7 &gt; 8x + 5

A: The given inequality is 5x-7&gt;8x+5

Q: Find the maximum value of 7 x – y given the following inequalities in the first quadrant 5 x + 2 y <…

A: solve graphically . Plot the first inequality 5x+2y≤4  by changing it into equality . Then mark the…

Q: Which of the following inequalities should be graphed with a dashed line? Select all that apply. a.)…

A: A graph is drawn with a dashed line when the equality sign is not present It can be observed that…

Q: Create two possible cubic inequalities that has the solution: x < -4 and < x < 6.

A: Given: x&lt;-412&lt;x&lt;6 To determine: Two possible cubic inequalities that has the above given…

Q: 1. Solve the following inequalities using an algebraic method. х2-2х-15 a) x(x + 2)(x – 2)(x+ 3) > 0…

A: Given the inequalities is (a) xx+2x-2x+3≥0 (b) x2-2x-15x2-16≥0

Q: B. Shade the appropriate half-plane to complete the graph of the inequality. 2x+y 22 3x-y<-1

A: Here we have to shade the required region.

Q: Solve the following system of inequalities graphically on the set of axes below. State the…

A: See attached file for a step by step explanation to solve the given inequalities.

Q: 5 Solve each of the following inequalities, giving your answer using set notation: {x : |x| 2 } {x…

A: (d) The given inequalities is: 5x-2&lt;3 To solve the given inequalities.

Q: Q3 Solve the following linear inequalities. a) -3 <6x + 4 < 5 b) 17x 1 < 10

A: Here there are more than one question so I will answer the only the second question. And post…

Q: Solve, algebraically, each of the following two inequalities. 3 t (i) (20 – z – z²)(x+2) < 0 (ii) 21…

A: Please refer the attached image for complete solution.

Q: 1. Which of the following are quadratic inequalities in one variable? A. x2-3x +5 0 B. 5 x D.…

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Q: of Find the solution(s) to the quadratic equation using the graph below. 10 -10 -5 10 -10 X= Blank…

A: x=3 x=9

Q: - Solve each of the following inequalities. |6-5x|s10 |12x+1|s-9 |2w-1<1

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Q: 3. How shall we write the vertex form of the quadratic function y =x? – 6x – 4? а. у3 (х— 3)2 +13 b.…

A: Hello! thank you for the question but as per our honor, we'll able to solve only the first question…

Q: Answer the following questions for the quadratic h(x) = 3x2 – 6x + 1. ) Axis of symmetry (write you…

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Q: x2 + 5x + 6 x2 - 1

A: We need to solve the inequality and graw the graph of it.

Q: Solve the following set of Linear inequalities graphically 5х — Зу > 9 -10x + 6y >7

A: We first make tables for the auxiliary equations 5x-3y=9 x 0 3 y -3 2   -10x+6y=7 x -0.7…

Q: he solution of the inequality 4x + 4(x + 10) > 2x – 14 is

A: We have to solve the inquality

Q: 3. Select the coordinates of the vertex for the quadratic relation y = -0.5x² + 5. а. (0, 5) b. (2,…

A: The solution of the problem is given in the next step.

Q: b) Solve the inequalities: 1- 6x2 +5x-4 >0 2- |x - 2| + 4 < 10 3x x 3- x-1 -2<0 x+2

A: We have to solve the inequalities: 1. 6x2+5x-4&gt;02. x-2+4&lt;103. 3xx-1-xx+2-2&lt;0

Q: h Check if each of these points is a solution to the inequality 2y-x>t: (0, 2) (-6, 3)7, 3) DIesents…

A: Here only one question is seen clearly, check if each of these points is solution to the inequality…

Q: Solve, algebraically, each of the following two inequalities. (1) (20 – z - 2)(x + 2) <0 (1) 21 5+t

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