A cubic function y has real coefficients, and its zeros are 1, –5 and 0. If x = 2, y=-42 satisfies its equation find the equation of the cubic function in standard form. Let the leading coefficient be a if necessary.

Q: Each of the following equations represents a cubic function

A: Given data: The first equation is y=2x2+3. The second equation is y=-x1/2-1. The third equation is…

Q: 7. A cubic function y has real coefficients, and its zeros are 0, –4 and -1. If x =-5, y=60…

A: Explanation of the answer is as follows

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A: Let, the quadratic equation is  y = ax2 + bx + c Given : 0 and -4 are zeroes that y = 0 when x= 0…

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Q: Show that the equation x - 17x + c = 0 has at most one root in the interval [-2, 2].

A: Any function y = f(x) will have exactly one real root in an interval if the function is either…

Q: A cubic function y has real coefficients, and its zeros are 6, –6 and 0. If x = 2, y =-16 satisfies…

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Q: Find the general solution to f(x) = 6

A: Given function f(x) - f(x) = 6cosπ5x-3+2(a)f(7) = ?Putting x=7, in the function given.f(7) =…

Q: Rewrite the quadratic function in standard form. h(x) = 2x2 + 4x − 17 h(x) =        Give the…

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Q: What are the real root(s) of the quadratic equation whose related function is graphed below? A (3,0)…

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Q: Write the equation of a quadratic function with roots at 5 and 1, and a vertex at (3, -4). Write the…

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Q: What are the real root(s) of the quadratic equation whose related function is graphed below? A (3,0)…

A: The x-intercepts of the graph are the roots of concerned quadratic equation.

Q: A quadratic function in standard form is given by the following equation. f(x) = a(x - h)2 +k %3D…

A: Using step 2 and step 3: (h, k) = (-3, -4) a = 1

Q: Being the one-dimensional eguation a²w a²w əx² Where w is the height of the wave, x is the…

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Q: The graph of a quadratic function f(x) is shown above. It has a vertex at (2, 1) and passes the…

A: The graph of a quadratic function fx has vertex 2,1 and passes through the point 0,-1. Standard…

Q: [π, 3π]

A: The given equation is2 sin2x-3sinx+1=0 ---(1)⇒2(2 sinx.cosx)-3sinx+1=0  (trignometrical formula 2…

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Q: Let c be a real constant. Show that the equation x – 15x + c = 0 has at most one real root in the…

A: Rolle’s theorem states that if a function f is continuous on the closed interval [a, b] and…

Q: 5. A quadratic function y = x² – 12x + 11 is intercepted at the right angles at the po (3, –16) by…

A: Topic:- Geometry

Q: Find a quadratic equation whose product of roots x, and x₂ is X₁ X₂ equal to 4 and satisfying the…

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Q: The quadratic function shown has an equation of y= a(x-3)(x+1) where a, m, and are integers. (0,-6)…

A: I have given an answer in step 2.

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Q: Show that the equation e** -x+2=0 has a root between 2 and 3. Use Fixed-Point method to find the…

A: Lets solve  the equation by Fixed point method

Q: the zeros  of a cubic function are -1,-2/3,and 5. what are all the factors of (x).

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Q: Sketch the graph of the quadratic function. f(x) = x2 + 4x + 4 Indicate the coordinates of the…

A: NOTE: Refresh your page if you can't see any equations. . compare this equation with the vertex…

Q: quadratic functions into the vertex 2. f(x) = 2x² – 12x+ 19 %3D

A: Explanation of the answer is as follows

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Q: Form a quadratic function f(x) for which f(1)3D0, f(-1)= -4, and f(2)= 5. The equation is f(x) =-

A: Given : fx is a quadratic equation. f1 = 0f-1 = -4f2 = 5

Q: (a) Show that the equation x6 – 5x – 5 = 0 has at least one solution on the interval [-1, 0).

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

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A: To find the equation of quadratic equation

Q: Let c be a real constant. Show that the equation x – 15x +c=0 has at most one real root in the…

A: Our Aim is to show that the equation x3-15x+c=0 has at most one real root in the interval -2,2.

Q: A cubic function y has real coefficients, and its zeros are -1, 2 and 4. If x = -3, y= 350 satisfies…

A: First write the cubic function in the zeroes form than satisfy the given point.

Q: Given (x) = x2 - 6x +8 and 9(x) - x - 2, solve (x) - 0(X) algebraically. Show your work.

A: Substrate g(x) from f(x) algebraically. Only operates on similar terms .

Q: 5. A quadratic function y = x2 – 12x + 11 is intercepted at the right angles at the point (3, –16)…

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Q: Determine the x-intercept(s) of the quadratic function f(x)=x²+ 8x+ 12. (-6, 0), (–5, 0) no…

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Q: Given h(x) = -x - 3, solve for a when h(x) = -10. %3D %3D |

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A: Given query is to find the f(x) which open upward and g(x) which open downward.

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A: The given quadratic functions are: y=x2-2x-1y=-3x2+12x-12y=x2-6x+13 Find intercepts and relative…

Q: 3. A cubic function y has real coefficients, and its zeros are 0, 6 and -6. If x = 4, y= -20…

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Q: A +x+ 2 A +x+ J Use the graph of Ax) = = 0. to solve the equation - 4x x* - 4x 8

A: a) Here we have to use the graph of f(x)=x2+x+5x2-4x to solve the equation x2+x+5x2-4x=0

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A: A cyclist rides from point M and point B, which is equal to 8 km in distance at an average speed at…

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.