explain why the x-intercept can be used to solve (x-6)(x-3)=0

Q: What is the value of x that would make the equation (27x) 3 = 243 true?

A: Given:          (27x)5/3 = 243         (27x)5/3  = 275/3  Powers are equal on both sides of…

Q: If (x – 3)2 = 5, what values of x make the quadratic equation TRUE?

A: Here we have given a quadratic equation and we have to find out the value of variable x for which…

Q: Compute the discriminant of  equation .What does the discriminant indicate about the number and type…

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Q: The number of mosquitoes M(x), in millions, in a certain area depends on the June rainfall x, in…

A: For max no. of mosquitos, function m(x) should be maximum i.e M(x)= 10x – x2 -i) Differentiate m(x)…

Q: What is the discriminant of the quadratic equation 9x? + 5x – 9 = 0? -

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Q: Can 5 be the solution for x in the equation 5x- 2 = 23 ? How do you know?

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Q: What is the relationship between solutions to a quadratic equation and the x intercept.

A: The quadratic equation has the form ax2+bx+c=0

Q: What are the steps to the Quadratic Formula, for x2+2x--7=0? (Explained in detail please)

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Q: Solve the equation algebraically. Verify your results using a graphing utility. 6 - x = 2x + 9

A: 6 - x = 2x + 9 => 3x = -3 => x = -1

Q: Solve the equation algebraically. Verify your results using a graphing utility. 2(3 + 2x) = 3(x - 4)

A: 2(3 + 2x) = 3(x - 4)

Q: scriminant of the quadratic equation x2+2x-7=0

A: Introduction: The discriminant of the quadratic equation ax2+bx+c=0 is given by, d=b2-4ac If…

Q: What is the solution set of the equation |3x + 1| = 8?

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Q: x² + 20xtlo0 X2 -100

A: Given : f(x) = x2 + 20x + 100x2 - 100   To find x-intercept and y-intercept of the given function.

Q: Solve the equation  x2+4x-5=0 using graph. Then verify the result.

A: Given equation: x2+4x-5=y Concept: Write the quadratic equation with. on one side. Determine…

Q: Find real solution if any using quadratic formula .  8x2  -x+4=0

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Q: 1 Solve the equation 3x(x2 + 6) = 8 – 17x². -

A: The given equation is: 3x(x2+6)=8-17x2

Q: discriminate

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Q: How can I write a quadratic equation when I am given the vertex and another point of the graph?

A: Definition used -                    The vertex form of quadratic equation is given by -…

Q: Solve the equation graphically. x4 - 9x2 = x - 9

A: If we are actually solving this problem with graph only we will need graphing software. which will…

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: Compute the discriminant of 3x2 - 2x + 5 = 0. What does the discriminant indicate about the number…

A: Given: 3x2-2x+5=0 we know that every quadratic equation has two solutions, if DiscriminantD of…

Q: Find the real solutions of the equation by factoring. Verify your results using a graphing utility.…

A: Given equation is x3+x2-x-1=0. To find the real solutions of the equation by factoring and to verify…

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

Q: The solution set for x−7− square root of 36x =0 consists of

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Q: Find the standard equation for the quadratic function y = 3x² + 11x-4.

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Q: Show that the cubic equation 2x3−3x2−15=0 has a solution in the interval (2,3).

A: Cubic Equation: Let f(x)=2x3-3x2-15We need find that there is a solution between (2,3)

Q: If the zeros of a quadratic function are -3 and 5, what is the equation of the axis of symmetry?

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Q: x² – 8x – 2 = 0 - %3D -

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Q: How would you solve the equation x − 2 = 5 by graphing?

A: Draw the graph of y=x-2. To solve equation by graphing we have to find that at what point of x value…

Q: Compute the discriminant. Then determine the number and type of solutions for the equation. 7x² -x +…

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Q: F Equation: Solution: -5 | -4 -3 -2 -1 01 -1 4. 3. 2.

A: Here we have to find the equation of the given graph.

Q: what are the steps to solve an equation of quadratic type:2X+9√X=5

A: Given,

Q: Use the graphical method to solve the equation. x6 - 2x3 - 3 = 0

A: Given : The equation is x6 - 2x3 - 3 = 0 .

Q: Which equation in standard form corresponds to x2+y2−2x+2y=7?

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Q: this equation is quadrfatic or expendential k(x)=4x+3

A: Consider the equation

Q: List the solutions of the equation: 0 = -x² + 20x + 3

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Q: Find the real solutions of equation x4+4x3+2x2-x+6=0

A: To determine the real solutions of given equation.

Q: Find the real solutions of the equation: (√2x + 3) - (√x + 2) = 2

A: Given equation is 2x+3-x+2=2. To find the real solutions of the equation. Solution: Given equation…

Q: Use a graphing device to find all real solutions of the equation. x4 - 3x3 - 3x2 - 9x - 2 = 0

A: Solution:Given      x4 - 3x3 - 3x2 - 9x - 2 = 0To find the solutions of the equation using graphing…

Q: What are the zeros of the equation y + 4x = x³?

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Q: Find all real solutions of the equation.

A: Given equation,  x-9-3x=0.   It is simplified as follows: x-9-3x=0 Squaring both sides,…

Q: Use the IVT to show that the equation: x5 + 2x3 +3x- 4 = 0 has a solution.

A: Intermediate value theorem states that if f(x) is continuous in [a, b] and and f(a)*f(b)<0, that…

Q: Use a graphing device to find all real solutions of the equation. x5 = x + 3

A: Here given equation x5 = x + 3 Now let fx=x5,gx=x+3

Q: Solve the equation algebraically. Verify your results using a graphing utility. 8x - (3x + 2) = 3x -…

A: To solve the equation 8x-3x+2=3x-10 algebraically and verify using a graphing utility. Solution:…

Q: xlnx-5x+2=0 How do you solve for x without graphing?

A: Given xlnx-5x+2=0 substitute lnx=logex xlogex-5x+2=0x(x)-5x+2=0x2-5x+2=0

Q: 3 8 =D1 x-3 x2 -9

A: Given:  3x-3-8x2-9=1 To Find: The true solutions of the given equation

Q: What are the real solutions of the equation x3 + 5 = 4x2 + x?

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Q: Use the graphical method to solve the equation. 2x4 + 4x2 + 1 = 0

A: Given that, 2x4+4x2+1=0

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.