Math homework

Use the given conditions to write an equation for the line in the indicated form.Passing through (5, 3) and perpendicular to the line whose equation is y = x + 5;slope-intercept formy = 7x – 38y = – 7x + 38y = – 7x – 38y = – x -Question 22.5 PointsUse the given conditions to write an equation for the line in the indicated form.Passing through (3, 2) and parallel to the line whose equation is ;point-slope formy – 2 = 2(x – 3)y = 2xy – 2 = x – 3y – 3 = 2(x – 2)Question 32.5 PointsSolve the equation by factoring.x 2 = x + 30{5, 6}{-5, -6}{1, 30}{-5, 6}Question 42.5 PointsSolve the equation by factoring.7 – 7x = (4x + 9)(x – 1){-1, 4}{-4, 1}Question 52.5 PointsSolve the equation using the quadratic formula.5x 2 + x – 2 = 0Question 62.5 PointsSolve the equation using the quadratic formula.x 2 – 6x + 25 = 0{3 – 16i, 3 + 16i}{3 + 4i}{-1, 7}{3 – 4i, 3 + 4i}Question 72.5 PointsSolve the problem.The total cost in dollars for a certain company to produce x empty jars to be used by a jelly producer is given by the function C(x) = 0.8x + 40,000. Find  the cost of producing 50,000 jars.$50,040$40.80$40,000$80,000Question 82.5 PointsUse the vertex and intercepts to sketch the graph of the quadratic function.f(x) = 2 + 3x + x 2Question 92.5 PointsUse the vertex and intercepts to sketch the graph of the quadratic function.f(x) = 8 – x 2 + 2xQuestion 102.5 PointsAdd or subtract as indicated and write the result in standard form.(6 – 10i) + (7 + 7i) + (-4 – 5i)13 – 3i17 + 2i9 – 8i-5 – 22iQuestion 112.5 PointsAdd or subtract as indicated and write the result in standard form.(4 + 3i) – (-8 + i)-4 + 4i12 – 2i12 + 2i-12 – 2iQuestion 122.5 PointsFind the product and write the result in standard form.(-9 – 3i)(2 + i)-21 – 15i-15 – 15i-21 – 3i-15 – 3iQuestion 132.5 PointsComplex numbers are used in electronics to describe the current in an electric circuit. Ohm’s law relates the current in a circuit, I, in amperes, the voltage of the circuit, E, in volts, and the resistance of the circuit, R, in ohms, by the formula  Solve the problem using this formula.Find E, the voltage of a circuit, if I = (18 + i) amperes and R = (3 + 2i) ohms.(52 – 39i) volts(52 + 39i) volts(18 – 39i) volts(18 + 39i) voltsQuestion 142.5 PointsUse the vertical line test to determine whether or not the graph is a graph in which y is a function of x.not a functionfunctionQuestion 152.5 PointsUse the vertical line test to determine whether or not the graph is a graph in which y is a function of x.not a functionfunctionQuestion 162.5 PointsFind the slope of the line that goes through the given points.-Undefined-Question 172.5 PointsFind the slope of the line that goes through the given points.(-8, 8), (-3, 8)10414Question 182.5 PointsFor the given functions f and g , find the indicated composition.83,02854,16846,3177851Question 192.5 PointsUse the vertex and intercepts to sketch the graph of the quadratic function.f(x) = (x + 5) 2 + 6Question 202.5 PointsUse the vertex and intercepts to sketch the graph of the quadratic function.f(x) = 4 – (x – 2) 2Question 212.5 PointsUse the given conditions to write an equation for the line in point-slope form.Slope = , passing through (5, 7)y + 7 = (x + 5)y – 7 = (x – 5)y = x + 5x – 7 = (y – 5)Question 222.5 PointsFind the coordinates of the vertex for the parabola defined by the given quadratic function.f(x) = 3 – x 2 + 2x(- 1, 4)(1, – 4)(1, 4)(- 1, – 4)Question 232.5 PointsFind the x-intercepts (if any) for the graph of the quadratic function.f(x) = x 2 – 9(-9, 0)(3, 0)(-3, 0) and (3, 0)No x-interceptsQuestion 242.5 PointsFind the coordinates of the vertex for the parabola defined by the given quadratic function.f(x) = 7 – (x + 4) 2(7, 4)(4, 7)(7, -4)(-4, 7)Question 252.5 PointsUse the given conditions to write an equation for the line in slope-intercept form.Passing through (5, 3) and (4, 6)y = 3x + 18y = mx + 18y – 3 = – 3(x – 5)y = – 3x + 18Question 262.5 PointsUse the given conditions to write an equation for the line in slope-intercept form.Slope = -2, passing through (-6, 7)y – 7 = -2x + 6y – 7 = x + 6y = -2x – 5y = -2x + 5Question 272.5 PointsDetermine the constant that should be added to the binomial so that it becomes a perfect square trinomial. Then write and factor the trinomial.x 2 – 8×16; x 2 – 8x + 16 = (x – 4) 2-16; x 2 – 8x – 16 = (x – 4) 264; x 2 – 8x + 64 = (x – 8) 2-64; x 2 – 8x – 64 = (x – 8) 2Question 282.5 PointsSolve the equation by completing the square.x 2 + 14x + 26 = 0Question 292.5 PointsCompute the discriminant. Then determine the number and type of solutions for the given equation.x 2 + 4x + 3 = 04; two unequal real solutions-28; two complex imaginary solutions0; one real solutionQuestion 302.5 PointsGiven functions f and g, determine the domain of f + g.(- , 10) or (10, )(- , )(0, )(- , -3) or (-3, )Question 312.5 PointsUse the graph to determine the function’s domain and range.domain: (- , )range: (- , )domain: x = -range: y = 5domain: (- , )range: y = 5domain: x = -range: (- , )Question 322.5 PointsGiven functions f and g, perform the indicated operations.(3x + 4)(3x – 2)(3x + 4)(9x – 4)Question 332.5 PointsDetermine whether the relation is a function.{(-8, -9), (-8, 9), (1, 3), (3, 5), (10, -9)}Not a functionFunctionQuestion 342.5 PointsDivide and express the result in standard form.+ i+ i-  – i-  – iQuestion 352.5 PointsDivide and express the result in standard form.-1 + i1 + i-1 – i-1 + 2iQuestion 362.5 PointsGive the domain and range of the relation.{(-3, 10), (-2, 5), (0, 1), (2, 5), (4, 17)}domain: {-3, -2, 0, 2, 4}; range: {10, 5, 1, 17}domain: {10, 5, 1, 17}; range: {-3, -2, 2, 4}domain: {-3, -2, 2, 4}; range: {10, 5, 1, 17}domain: {10, 5, 1, 17}; range: {-3, -2, 0, 2, 4}Question 372.5 PointsPerform the indicated operations and write the result in standard form.Question 382.5 PointsPerform the indicated operations and write the result in standard form.Question 392.5 PointsFind the domain of the function.f(x) = x 2 + 8[-8, )(- , )(- , -8)  (-8, )(-8, )Question 402.5 PointsFind the domain of the function.f(x) =(- , 5)  (5, )(- , )(- , 0)  (0, )(5, )