Given the function r(x) = 2V9-x-8, %3D a) What is the domain? Show all work or reasoning. Inequality Notation: Interval Notation: b) What is the y-intercept? Show all work or reasoning. Write answer as an ordered pair.

Q: What are the steps followed for solving Linear inequalities in One variable?

A: What are the steps followed for solving Linear inequalities in One variable?

Q: The domain of f(x) = V5x – 20 can be found by solving the inequality

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Q: The value of x for Inequality |2x – 5| < 9 is

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A: Given Rate of housekeeper laundry=$620/ month Rate of village laundry=$9 for first 20 kgs and $8 for…

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Q: For the function f(x)=x²-7x-5, find the vertex. Solve and express the answer in interval notation:…

A: The given function, fx=x2-7x-5

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Q: For Exercise, solve the inequalities. a – 2 a + 4

A: Given expression is A rational expression is equal to 0, if its numerator is zero and is negative…

Q: I. Solve for x in the inequality. notation, and c) draw the graph.

A: Given that the sum of two numbers is 44 and their difference is 8

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A: To write the correct inequality from the given verbal description

Q: Use the graph of the function f to solve the inequality

A: Use the graph of the function f to solve the inequality

Q: Describe in words the region of R' indicated by each equation or inequality. (a) x² + z? <9

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Q: For Exercise, solve the inequalities. w – w – 2 w + 3

A: w2 - w - 2w = 3 ≥ 0⇒ w2 - 2w + w - 2w + 3 ≥ 0⇒ w(w - 2) + 1 (w - 2)w + 3 ≥ 0⇒ (w - 2) (w + 2)w…

Q: Find the range of the quadratic function. y = 3x+12.x+ 13 + 12x+ 13 Write your answer as an…

A: Given: y=3x2+12x+13 To find: Range of given quadratic y=3x2+12x+13.

Q: For Exercise, solve the inequalities. (1 – x)(3x + 5)? (r – 3)*

A: We will check the signs of each factor of the left side. Because it has even degree 2   Because it…

Q: Which inequality describes the restrictions on x according to the hinge theorem? 3x + 2 38 12 12 30…

A: Given: The figure is shown below: According to the hinge theorem:In a triangle, the side opposite…

Q: Do Now: Consider the linear inequalities. y>-2x + 4 x> 2 a. Use two different colors to graph the…

A: We are given the linear inequalities y≥-2x+4, x&gt;2. For (a),

Q: For Exercise, solve the inequalities. 6 – 2x

A: Solve the inequality by finding the critical points.

Q: how do i find the vertex with the axis of symmetry? f(x)=(x-4)^2-9   that is (x-4) squared..

A: Given:

Q: For Exercise, solve the inequalities. 3 - x 2 4 x + 2

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Q: Use the graph of the function f to solve the inequality.(a) f(x)&gt; 0 ; (b)f(x)&lt;=0

A: Given: The graph of a function f as To determine: The solution of the inequalities of fx&gt;0 fx≤0

Q: What is Range v(x+5)-2?

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Q: ') Given y= -2x² –16x, find the absolute min imum and the absolute max i in the interval[-1, 4]

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

Q: Use the graph of the function to solve the inequality. a. f(x) > 0 0.5

A: Given the graph of the function is f(x)=sinx

Q: The shaded region A is farmed by the tines y- 2. v 31, and y -6 Write down the three Inequalities…

A: Consider the given graph for the functions: y=2 , y=3x and x+y=6

Q: For Exercise, solve the inequalities. 2 - x x + 6

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Q: For Exercise, solve the inequalities. 4 - x x + 5

A: To solve inequality , we will take factors on denominator on left sidethen use it to find…

Q: The total number of seats in an auditorium is modeled by f(x) = 2x2 - 6x, where x represents the…

A: Given,          The total number of seats in an auditorium is modeled by fx=2x2-6x, where…

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A: To solve an inequality, the variable terms are grouped on one side of the equation and the constant…

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Q: For Exercise, solve the inequalities. 4 - 2x

A: Given

Q: The Inequality hz 48 represents the minimum helght hnecessary to ride a certain roller coaster. Who…

A: In this problem, the inequality h≥48 represent the minimum height h necessary to ride a roller…

Q: What is the axis of symmetry for f(x) = 2x² – 4x + 5? %3D Ox=-2 Ox = -1 Ox = 1 Ox= 2

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Q: Based on the graph, find the set of all x-values for which the points P(x, y) are on the graph and y…

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Q: Solve the inequality f{x) <g(x) using the graph given below.

A: Given,  The graph of  fx  and  gx. We have to find  the solution set for f(x)&lt;g(x) in interval…

Q: Express the inequality in interval notation. (a) -1 <xs 5 (b) x< 3 (c) x 2 4

A: we have to express the given inequalities in interval notation: (a)-1&lt;x≤5 (b) x&lt;3 (c) x≥4

Q: 2. The volume of a box is represented by the function V (x) = x³ + 6x² + 11x + 6 .The height of the…

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Q: 1. Rewrite the relation y = -2x2 + 24x – 75 in vertex form by completing the square. What is the…

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Q: Graphically approximate the solution to the inequality x +5x +6 > 0.

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Q: A company finds that if they price their product at $ 30, they can sell 138 items of it. For every…

A: To find the maximum revenue possible

Q: For Exercise, solve the inequalities. 10 2 x + 2 x + 2

A: We have to solve inequalities 10x+2≥2x+2 Solving given inequality,…

Q: find the domain  f(x)=√10-x answer is (-infinity,10}

A: Let us find the domain of the given function in the next step.

Q: Solve f(x) = g(x) by graphing and algebraic methods. 60. fx) = x+r? g(x) = 9x + 9

A: Introduction: The solution to the given set of equations g(x) and f(x) can be found as follows-

Q: For Exercise, solve the inequalities. 3 - x x + 2

A: The given inequality is 3-xx+2≥4

Q: Use the graph of the function f to solve the inequality. (a) f(x) 0

A: topic - inequality

Q: The inequality x .2 14 x < 15is equivalent to -

A: Given: x2-14x&lt;15 For finding equivalent inequality of given inequality, we simplify it by using…