Convert the following quadratic equations into factored form. Find the x and y-intercepts. a) y = x² + 15x + 50 b) y = x² - 7x+ 12

Q: What is the axis of symmetry of the following quadratic equation? y = 2x +12x+10

A: Given,            y=2x2+12x+10To find : The axis of symmetry of the quadratic function.We know that,…

Q: What is the vertex of the following quadratic equation? y = x +8x O (-4, 16) O (4, -16) O (4, 16) O…

A: It can be expressed as the general form of parabola.

Q: If a and 3 are the roots of the quadratic 3r² – 4.x + 6 = 0, find the value of ( + )

A: We have to solve given problem:

Q: Find, in its simplest form, the quadratic equation with the following pair of solutions: 3/5 ± 3i

A: Given: The solutions of the quadratic equations are 35±3i. To find: Quadratic equation having the…

Q: Find the roots for the quadratic equation x + 6x +9 = 0 A 4 B. 1 F 3 -3 D. -2 H. -1

A: The correct option is G.

Q: Use the discriminant to determine how many and what kind of solutions the quadratic equation 3x2 –…

A:

Q: Given the equation  5x2 = 6x + 18 determine : Draw a neat sketch of the quadratic

A:

Q: The solutions to Shana's quadratic equation are x = 3 and I = . Which could be Shana's equation?…

A: Just write the form of quadratic equation when its solution is given.

Q: Substitute a, h, and k into the vertex form of a quadratic equation.

A: We know that the vertex, (h, k) of a parabola is a point where is minimum or maximum.  The vertex…

Q: Complete the square on the following quadratic equations: 1. y2 + 22y - 4 = 0 2. -2x2 - 14x + 5 =…

A: 1.y2+22y-4=0y2+2y(11)+112-112-4=0(y+11)2=125 taking square rooty+11=±55hencey=55-11  and -55-11…

Q: Identify b of the following quadratic equation: y = 2x2 +5x-14

A: Here the given quadratic equation is  y=2x2+5x-14 We need to find the value of "b".

Q: Use the discriminant to determine the number and types of solutions of the quadratic equation. 9x -…

A:

Q: Select the values of a, b, and c that you would substītute into the quadratic formula to solve the…

A: Given equation 3x(x-1)=x2+4  First, solve the equation…

Q: The equation m2/3 + 10m1/3 + 9 = 0 is said to be in __________form, because making the substitution…

A: In mathematical expressions/equations, power to which a variable has been raised is called an…

Q: Which of the following quadratic equations is in standard form? (a) x - 7x = 5 (c) (x + 5)(x – 4) =…

A: A polynomial is basically a function, which can either be quadratic, cubic, and so on in which the…

Q: If the discriminant of a quadratic equation is -2, then the equation has  ?      . If the…

A:

Q: Use the discriminant (D=b2-4ac) to determine the type of solutions of each of the following…

A: Use the discriminant to determine the type of solution and find the solution.

Q: determine how many solutions each of the following quadratic equations has. (use b2 - 4ac)…

A: Given :/  y = 5x2 -10x +1 Here, a = 5 ,  b = -10 ,  and c = 1

Q: What is the axis of symmetry of the following quadratic equation? y= 2x-4x-5 O x = -1 O x = -5 O x =…

A: The given equation is: y=2x2-4x-5 The objective is to state the axis of symmetry of the given…

Q: The discriminant of the quadratic equation 4x+7z-4 0 is O 15

A:

Q: Find the x-intercepts of the following quadratic equation: 10x - 29x + 10 = 0 Factors of ac that add…

A: We use Middle term splitting / AC method

Q: Find the discriminant of the following quadratic equation, and state the number of real roots that…

A: Discriminant The discriminant of the quadratic equation ax2+bx+c=0 is…

Q: Find the discriminant of the quadratic equation and give the number and type of solutions of the…

A: If the discriminant is greater than zero, this means that the quadratic equation has two real,…

Q: & and ß are the roots of a quadratic equation such that a + B = 2 and aß =. The value 3. *of a' + B?…

A: we have to find the following

Q: 20x +3x = 20–15x

A:

Q: 1. x2 – 6x + 9 > 0

A:

Q: The solutions to the quadratic equation x2 – 11x + 22 = 0 are x = 3 and x = :6. What is the base of…

A: Let the base be 'b' 11 (base b)= (b+1) of [ base 10] 22 (base b)=(2b+2) of [base 10] Now we know…

Q: Convert the given quadratic equation to vertex form, i.e., y = a(x – h)² + k. y = x2 + 6x – 9

A:

Q: Compute the value of the discriminant and give the number of real solutions of the quadratic…

A:

Q: Identify c of the following quadratic equation: +7x -8 %3D

A:

Q: Modify the following equation so that it is in quadratic form Determine the values for a, b, and c.

A: In question given question we have to modify the equation in the quadratic form s.t ax2+bx+c=0 and…

Q: Find the solutions of the following quadratic equation. x2 – 19x + 90 = 0 -

A: Given a quadratic equation x2-19x+90=0 To solve the equation

Q: Find the roots of the given equation by the method of completing the square 4x2 + 4bx - (a2 - b2 )…

A:

Q: If a and B are the roots of the quadratic equation 2x2 - 4x - 3 = 0, then 2a² +4B = 7. А. 3. В. 5.…

A:

Q: Identify the "c" value of the following quadratic equation given below. -8 = 2 (x + 9)2 O 85 170 О 6…

A: Given quadratic equation is

Q: Compute the value of the discriminant and give the number of real solutions of the quadratic…

A:

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: Use the discriminant (D=b2-4ac) to determine the type of solutions of each of the following…

A:

Q: Use the discriminant (D=b2-4ac) to determine the type of solutions of each of the following…

A:

Q: What is the axis of symmetry of the following quadratic equation? y=+8x O x= 8 O x= -4 O x=1 O x = 4

A: Topic = Quadratic equation

Q: What are the zeros of the following quadratic equation? y=x -6x O x= 0,6 O x-4,-2 O x= 6 O x=1,-6

A:

Q: What are the zeros of the following quadratic equation? y = x-9 O x= 2.5,-2.5 O x= 3 O x= 3,-3 O x=…

A:

Q: Show that in general,the sum of the roots of a quadratic equation ax²+ bx + c = 0 is −b       a…

A:

Q: Identify a of the following quadratic equation: y = -3x2 + 9x – 6

A: General form of quadratic equation is given by  Y = aX2 + bX + C. a = coefficint of X2. b =…

Q: If the discriminant of a quadratic equation is 2, then the equation has

A: The discriminant of a quadratic equation is given by b2-4ac We know that when the b2-4ac>0 then…

Q: Find the x-intercepts of the following quadratic equation: 10x2 - 29x + 10 0 Factors of ac that add…

A: Find the x intercept of the given quadratic equation.

Q: Provided that the roots of a quadratic equation, 12x^2 - 24x -65 = 115 are a and b respectively.…

A:

Q: Given the quadratic equation, 5x-4 2x, identify a, b, c

A: General form of a quadratic equation is   ax2+bx+c=0   ---(1)   Given equation is  5x2-4=2x  This…

Q: Heron of Alexandria solved the quadratic equation x2 + x + x = 212 by multiplying both sides by 11·…

A: To solve the below quadratic equation by multiplying both sides by 11⋅14. 1114x2+227x+x=212