Mathematics Homework Solutions

Solve for x: 3x^2-5x+3=0

Solve for x. 3x^2-5x+3=0 Written out: Three x squared minus five x plus three equals zero.

Find the inverse of the given function: f(x)=2/3x+4

Find the inverse of the given function f(x)=2/3x+4

Algebra: Power Principle, Inequalities, Parabolas and Symmetry

Please see the attached file for the fully formatted problem(s). 1. Use the Power Principle to solve the radical equation: 2. Use interval notation to express the solution set of the inequality: 3. Find the vertex of the parabola, the y-intercept, and the x-intercepts. Then sketch the graph. 4. Determine whether th ...continues

Polynomials, Descartes’ Rule of Signs, zeros of the polynomial, Graph of a function, intercepts and asymptotes, logarithmic expression

8. Use the Rational Zero Theorem to list possible rational zeros for the polynomial: P(x) =x^3+3 x^2-6x-8 9. Use Descartes’ Rule of Signs to determine both the number of possible positive and the number of possible negative real zeros of the polynomial. P(x) = 2 x^3 + x^2 - 25 x + 12 10. Use the given zero to find t ...continues

Algebra: Solving for X, Parabolas, Systems of Equations and Maximization

Please see the attached file for the fully formatted problem(s). 13. Solve for x algebraically. 14. Find the vertex, focus, and directrix of the parabola given by the equation. 15. Solve the system of equations. 16. Maximize C = 6x +7y with the constraints:

Solve the system of equations by the Gaussian elimination method. Find the inverse of the given matrix. Evaluate the determinant by expanding by cofactors. Solve the system of equations by using Cramer’s Rule.

17. Solve the system of equations by the Gaussian elimination method. x- 3y + z= 8 2x- 5y -3 z= 2 x + 4y + z= 1 18. Find the inverse of the given matrix. 1 2 -2 -3 19. Evaluate the determinant by expanding by cofactors. -2 3 2 1 2 -3 -4 -2 1 20. Solve the system of ...continues

Algebra: Graphs and Linear Equations

Please see the attached file for the fully formatted problem(s). 1. Which graph correctly indicates the location and the quadrant of the point (2, 0)? A) B) C) Page 2ഊD) Page 3ഊ2. Which figure below is the correct graph of the linear equation y = –2x – 1? A) B) C) Page 4ഊD) Page 5ഊ3. Whic ...continues

Solving an equation for an unknown value.

What is the value of c? 6(5+c) = 5(c-4)

True and false questions about the characteristics of the parabola.

These questions are about the quadratic function which takes the form: y=ax^2+bx+c Where a is non-zero. Choose the false statements. A. If c=0, then the graph of y will go through the origin B. If B=0, then the graph of y will not be a parabola. C. The graph of y will have a minimum value if a is positive. ...continues

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