Please answer the following questions (i): Are −3 and −2 solutions to x2 – x – 12 ≤ 0?                   (ii): − x2 + 4x + 5 ≥ 0                                                           (iii): (a) The discriminant is always less than 0 in quadratic inequalities True/False

Q: The question was: Find the horizontal intercepts of the quadratic f(x)=2x2+4x-4. I utilized the…

A: Given,            f(x)= 2x2 + 4x – 4

Q: Determine the real solutions of the inequalities 1 4 |x – 1|+ |x – 4| < 3; ? — 5х + 4 < 0%; 2 - 1

A: For solving the question we must the following properties of modulusinequality-1)   If a &lt; b ⇒ -a…

Q: Do you wholly agree with the statement that “the domain and range of a quadratic equation will be…

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Q: The equation (2x2 – 11)(x* – x² + 5) = 0 - (a) has two (and only two) real solutions (b) has, at…

A:

Q: Show that the equation x5 - πx² = |2x - 3| has a solution on (1, 2). Justify your answers by using…

A: Intermediate Value Theorem.

Q: Solve the queation 36x cubed + 45x squared - 7x - 4 = 0 given that -4/3 is a zero of f(x)=36x cubed…

A: Please see the below picture for detailed solution.

Q: Which of the following are solutions of the equation (2x - 3)(3x+5) = -14? (A) x = 1/3 and x = -…

A: topic - quadratic equations

Q: Check the definiteness of the following quadratic form;

A:

Q: 1) Suppose that f(x) = ²x² + 1⁄x³ − ³⁄/ x² + 5x - 2 for all real numbers. 1 Solve the equation f"…

A: Given, f(x)=56x4+16x3-32x2+5x-2

Q: 0 This part of the question concerns the quadratic function y =x+14x +36. %3D (i) Write the…

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

Q: What are the real solutions of 7(x-2)/x+6 = 2 ? And are there any extraneous solutions?

A: 7(x-2)/x+6 = 2

Q: .) The height of a ball thrown from the top of the building on Mars is given by h(t) = -2t + 6t +2…

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Q: Fut the following quadratic equations and inequalities into vertex form and graph: Graph the…

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Q: 3. Solve the following polynomial inequalities, zeR. a. x² - 4x + 3 0 d. -r²+3x+1 <0 e. -2x¹2x³ +…

A: As you are posted multiple questions but according to bartleby Q &amp;A guidelines we solve only…

Q: Solve the following inequalities by explaining all steps of working on adobe connect. You must…

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Q: Solve the polynomial inequalities using the test point method x' +2x? <15x

A: In test point method, we willl find all the critical points of the given inequality. That means the…

Q: Show, by using the discriminant, how many solutions 2x2-x-5=0  has. must show all work

A: The discriminant of a quadratic equation ax2+bx+c=0 is given by D=b2-4ac.  We have h quadratic…

Q: 4. Show all solution steps to solve the following: a. Divide the polynomial ((mx) ² — mx + 3x² +…

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Q: Find the solution set in the real numbers of each of the equations. (a) 2(2x – 4x + 6) = 2(1– 2x)+…

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Q: The quadratic form Q(x) = -3x,? – 7x2? – 4x3? is %3D (a) Negative definite (b) Indefinite (c)…

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Q: (c) Determine the definiteness of the quadratic form q(x) = xỉ +2/6x,6x2 + 2x3

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Q: B: solve the following 5x2 +x3 2- limx→2 G0x* +2x5, 6x3 -8x? 1- limx¬o( 3x4 -17x2

A: A detailed solution is given below.

Q: (a) -r -8x – 15 5(x³ – x) > 5(x³ – r)

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Q: What is the maximum value of the parabola shown? a. -3 b. (-1,7) x c. d. 1 7

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