(a) Factor 2x2−8x−102x2−8x−10 completely. (b) Solve the quadratic equation 28x+16=8x228x+16=8x2 using any appropriate method. (c) A ball is thrown upward from an initial height of 60 feet with an initial speed of 64 feet per second. This scenario can be modeled by the function f(x)=−16x2+64x+60f(x)=−16x2+64x+60. After how many seconds does the ball reach its maximum height? What is the maximum height of the ball? (d) Describe the end behavior and state the number of possible turning points for the function f(x)=−x5+4x4+6x3−4x2+x−1f(x)=−x5+4x4+6x3−4x2+x−1 (e) Simplify the expression: 2x3y53−2x4y3

Q: Solve the quadratic: -4x2 – 15x + 4 = 0 x=

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Q: Solve the quadratic equation by completing the square. x² +11x-5=0 Choose the appropriate process…

A: We have to solve above Quadratic equations

Q: If 3  4i is a solution of a quadratic equation with realcoefficients, then is also a solution of…

A: To solve the given problem.

Q: Find the maximum or minimum value of the quadratic function g1x2  2x2  6x  3.

A: The given quadratic function is g(x)=2x2+6x+3

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A: We Have a quadratic equation, we know that the quadratic equation is an equation which is of the…

Q: Find all real solutions of the equation. 0 = x2 - 4x + 1

A: The given equation is 0=x2-4x+1

Q: What is the largest value of the quadratic form 5x} – 3x; if x'x = 1?

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Q: - Solve the quadratic equation using appropriate method. x² - 81 = 0 2. x² +5x +6=0 3. 2x2 4x+3=0

A: Here we have to solve the quadratic equation.

Q: The solution of the quadratic equation x² + 3x - 5 = 0 is 3+ VII A. 3土 V29 C. -3 + VII -3 + v29 D. 2…

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Q: 4 What is a in the quadratic equation 2x2 + 8x + 10 0? A. 8x B. 2 C. 2x D. 2x S. What is 2x (x-6) 10…

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Q: What is the average of the two solutions of the arbitrary quadratic equation ax2 + bx + c = 0?…

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Q: What is the equation of a quadratic function y=f(x) with two irrational zeros, negative square root…

A: The equation of a quadratic function y=f(x) with two irrational zeros, negative square root of h and…

Q: Use the techniques presented in this section to find all solutions of the given equation   2x3 + 6x…

A: Given: To find: all solutions of the given equation     2x3+6x-3=0

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Q: Solve the quadratic: -4x2 - 15x + 4 = 0 X =

A: Given : -4X^2-15X+4 = 0

Q: Find the roots of the quadratic function f(x) = 2x2- 6x + 7 by the method of completing the square.

A: Topic : quadratic equation

Q: (b)Solve graphically and explain geometrically X1 - 4x2 = 20.1 3x1 + 52x2 = 5.9

A: The given system of equations: x1-4x2=20.1        ...(i) 3x1+52x2=5.9            ...(ii) Putting…

Q: What is the equation of a quadratic in standard form, given the zeros x = 3 and x = 6 and the point…

A: The solution is given below.

Q: Solve the roots of the equation f(x)=-0.5x^2+2.5x+4.5 a.With the Graphical Method b.Using…

A: Here, we need to find the roots of the equation f(x)=-0.5x2+2.5x+4.5. For (a), Graphical Method:…

Q: Confirming Homework. See Attached

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A: Suppose ax2+bx+c = 0 is a quadratic equation. The discriminant of the quadratic equation is b2-4ac.…

Q: The solutions of the quadratic equation 4x2 +3r +2 0 are O-3+V-15 8. O 3+V-7 12 O -3+ V-23 8. O…

A:

Q: The discriminant of the quadratic equation 3x2 + 6x - 1 = 0 is [ Select ] and tells us that there…

A: we have to find the discriminant

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Q: The solutions of the quadratic equation x(x + 2) + 9 = 0 are

A: Given: x(x+2)+9=0 we can write: x2+2x+9=0 Formula: For the quadratic equation ax2+bx+c=0  x=-b…

Q: The solution of the quadratic equation 3x² + 5x + 2 = 0 are. O -5± V13 12 O -5± V13 6 O -5 ± V13 O…

A: given quadratic equation is                                              3x2+5x+2=0 solution of…

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Q: The solutions of the quadratic equation x2 + 4x + 8 = 0 are

A:

Q: If the roots of a quadratic equation: A x 2 + B x + C = 0 are x=5 and x=4/3, then what is the…

A: Consider the given quadratic equation: Ax2+Bx+C=0 Root of the above equation is x=5 and x=43 Here,…

Q: Find the value of a for which one root of the quadratic equation (a² − 5a +3)x² + (3a-1)x+2=0 is…

A:

Q: 6. Find all the solutions of the quadratic 2x2 (a + 2b)x + ab = 0. |

A:

Q: B. Solve the quadratic equation using appropriate method. 1. x2 - 81 = 0 2. x2 + 5x+ 6 = 0 3. 2x? -…

A: The given equation,1. x2-812. x2+5x+6=03. 2x2-4x+3=0

Q: the quadratic equation x2 + x = 3kx- k2 has two different real roots. find the range of value of k

A: The given problem is to find the range of value of k for which the quadratic equation has two…

Q: Compute the discriminant of 4x2 - 8x + 1 = 0. What does the discriminant indicate about the number…

A: Given: 4x2-8x+1=0

Q: 8.) Solve the given quadratic equation using the factoring method. x² +5x+2 = -2x² +7x+7

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Q: x2 - 2x- 15 = 0

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Q: If the discriminant of ax2 + bx + c = 0 is positive, the quadratic equation has________ real…

A: We have to fill in the blanks: If the discriminant of ax2+bx+c=0 is positive, the quadratic equation…

Q: b) Solve algebraically for x: 54x = 125*-1

A:

Q: 6. Find all the solutions of the quadratic 2x² – (a + 2b)x + ab = 0.

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Q: # 1: Solve algebraically and graphically: 3x - 9 < 18

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Q: The solutions of the quadratic equation x(x + 4) + 15 = 0 are 4+iv8 2 O -4+iv8 4 O -4+iv12 2 O…

A:

Q: The most efficient technique for solving x2 + 8x + 15 = 0 is by using________.

A: Given, x2+8x+15=0

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A: y=2x2-4x The position of duck to dive down 2 meters y=-2 -2=2x2-4x 2x2-4x+2=0 2(x2-2x+1)=0…

Q: Solve the quadratic for x: -4x2 – 15x + 4 = 0

A: Given,            -4x2-15x+4=0

Q: 7. The length of a rectangular garden is 4 meters more than the width of the garden. If the area of…

A: Let the width of the rectangular garden is := x meters;   Length of the Rectangular garden:= (4+ x)…

Q: The solutions of the quadratic equation x + 3x + 9 = 0 are O -3+iv36 2 -3+iv27 2 O -3+iv27 4 O…

A:

Roots

The main dissimilarity between real and complex roots is that the real roots are obtained as real numbers, in contrast with the complex roots, which are indicated as imaginary numbers. The standard format for depicting any complex number is in the form of a + bi.