Basic Math question and answers for September 22, 2024
- Q Which of the following is an attribute of any quadratic function?It has a constant rate of change.The function values increase as x increases.It is symmetric about a line through its...
- Q A paper airplane is thrown from a height of 9 feet. The functiony = -2x + 3x +9 represents the path of the plane, where x is thedistance traveled and...
- Q The height in feet of a ball thrown in the air from a ledge 112 feet high isrepresented by the function f(x) = -16x+96x +112, where x is the numberof...
- Q Carter found the discriminant of this quadratic function.F(x)=6x-5x +3According to the discriminant, which best describes the roots of F(x)?One real rootTwo real rootsTwo complex rootsOne complex root
- Q Put the quadratic into vertex form and state the coordinates of the vertex.y = x ? 6x + 8Vertex Form: y =Vertex:
- Q Which equation has the same solution as x + 18x - 20 = -2?(x-9) = 99(x + 9) = -63? (x + 9) = 99(x - 9) = -63
- Q Alton and Eithan are each saving money for a car. The total amount of money Alton will save is given by the function f (x) = = 43 + 3x....
- Q Solve the equation below by completing the square and then solving for x.2x-28x-2=-50A. x= 2 or x = -18B. x = 7 or x = 4C. x = 2 or...
- Q The polynomial given below has___root(s).3x-8x+4A. two positiveB. two complexC. two negativeD. one positive and one negative
- Q What number would you add to complete the square for the equation below?x + 6x = 0
- Q Which of the following are solutions to the equation below?Check all that apply.x + 10x + 25 = 8A. x = 2?2-5B. x = ?17-10C. x = -2-??2-5D. x =...
- Q A child launches a toy rocket in the air, and the function f(x) = -10x +90x+ 20 represents the flight of the rocket, where x is the time in seconds...
- Q Find the sum: (x + 3x+x+1)+ (2x - 2x - 2x+2).A. x +5x+3x+2B. -x +5x-x+3C. 3x + x-x+3D. 3x + 5x-x+3
- Q What number must you add to the polynomial below to complete the square?x-26x
- Q Find the discriminant of the following equation.x+2x+7=0
- Q 6/x= 2x+4/5 Multiply each side by the common denominator to find the quadratic equation equivalent to this equation.A. x + 4x-15 = 0B. 2x + 4x-30 = 0C. x +...
- Q Enter the degree of the polynomial below:2x^4 + x^9 + 5x^6 + 5x^5-7x
- Q The ________ is the name of the number under the radical symbol in the quadratic formula.
- Q What number would you add to the equation below to complete the square?x^2+3x=0A. 3/2B. 9/4C. 9D. 6
- Q What number must you add to complete the square?x^2 +12x=9
- Q Find the product and enter it in the box below. Enter your answer as apolynomial in descending order and use the caret (^) for exponents. Forexample, you would write 4x2...
- Q Find all ordered pair solution (s) to the system of nonlinear equations given by:y=-x-5y = x - 5If there is more than one solution, enter as a list of ordered...
- Q Given the following quadratic equation, state the x and y intercepts (solutions of the form (x, 0) and (0, y)), the vertex, and then use this information to sketch the...
- Q The points (0, 2), (1, 3), (2, 6), and (3, 11) are on the graph of a function. Which of the following equations represents that function?A h(x) = 0.5x +1.5B....
- Q Determine whether the quadratic function shown below has aminimum or maximum, then determine the minimum or maximumvalue of the function.The(x) = x + 4x ? 1
- Q A ball was thrown upward into the air. The height, in feet, of the ball above the ground t seconds after being thrown can be determined by the expression -16t^2...
- Q Write the quadratic function in the form g(x)= a (x ?h) + k.Then, give the vertex of its graph.g(x)=x + 4x +3
- Q Find all real solutions of the equation (9x + 2) = 36.Write your answers as a list of integers or reduced fractions in the form A/B. For example, if your...
- Q Find all real solutions of equation 4x + 5x - 4 = 0.Does the equation have real solutions? Input Yes or No:If your answer is Yes, input the solutions:
- Q Find all real solutions of the equation 4k + 15 = 271.
- Q Consider the parabola given by the equation:Find the following for this parabola:y = x + 6x - 8A) The vertex =B) The y intercept is the point (0,C) Find the...
- Q Consider the parabola given by the equation:f(x)=x-12x + 13Find the following for this parabola:A) The value of f(-5):B) The vertex =C) The y intercept is the point (0,D) Find the...
- Q Determine the number and type of solutions for the equation 2x2 + 5x + 5 = 0Two different irrational-number solutionsOne repeated irrational-number solutionOne repeated rational-number solutionTwo different rational-number solutionsTwo imaginary-number...
- Q Find all real solutions of the equation 3s = 75.Write your answers as a list, using a comma to separate answers.
- Q A parabola has a vertex at the point (-2, -3) and an x-intercept at (1, 0). Find the other x-intercept. You must justify your answer for credit.
- Q Find all real solutions of the equation 9t-7=29.Write your answers as a list, using a comma to separate answers.
- Q Consider the quadratic function f(x)= -x2 - x +20Determine the following: (enter all numerical answers as integers, fractions, or decimals):The smallest (leftmost) -intercept is =The largest (rightmost) a-intercept is=The y-intercept...
- Q Solve using the quadratic formula.0= 4x + 11x + 4
- Q Consider the quadratic function f(x) = x + 2x ? 3.Determine the following: (enter all numerical answers as integers, fractions, or decimals):The smallest (leftmost) z-intercept is a =The largest (rightmost)...
- Q A person standing close to the edge on top of a 108-foot building throws a ball vertically upward. The quadratic function h(t) = ? 16t + 132t + 108 models...
- Q Find the critical numbers of the functionf(x) = ? 12x^5 + 75x^4 + 80x + 6 and classify them using a graph.
- Q The drama club is selling tickets to their play to raise money for the show's expenses. Each student ticket sells for $7 and each adult ticket sells for $9.50. There...
- Q Skylar repairs washing machines. Her revenue, in dollars, can be modeled by the equationy = 80 +24x, where x is the number of hours spent repairing microwaves. Her overhead cost,...
- Q Solve the equationx+1/x-1 = -2/x+3 + 8/x2+2x-3List all valid solutions, separated by commas.
- Q Solve the rational equation: x+56/x = 15
- Q A model rocket is launched with an initial upward velocity of 70 m/s. The rocket's height h (in meters) after t seconds is given by the following.h=70t-5tFind all values of...
- Q 3) A movie theater charges $8.00 for adults and $5.00 for children. If there were 40 people altogether and the theater collected $272.00 at the end of the day, how...
- Q Analyze the polynomial function f(x) = x(x + 4) using parts (a) through (e).(a) Determine the end behavior of the graph of the function.The graph of f behaves like y...
- Q The revenue achieved by selling x graphing calculators is figured to be x(45-0.2x) dollars. The cost of each calculator is $33. How many graphing calculators must be sold to make...
- Q What is the vertex form of the equation?y=-x + 12x-4
- Q Select the value needed in the box in order for the expression to be a perfect square trinomial.x +7x+3.5712.2514.5
- Q Let f(x) = 9x^4 - 6x +23x + 25. Use Descartes' Rule of Signs to answer the following questions.(a) List the possible number of positive real zeros (counting multiplicities) of...
- Q y=x + 4x-5Before we calculate important features of this quadratic function, identify a, b, &c. Remember, the standard form quadratic functions: y = ax^2 + bx + c.a = |b=C=
- Q The owner of a video store has determined that the cost C, in dollars, of operating the store is approximately given by C(x)=2x - 22x+780, where x is the number...
- Q Find all values of the variable x for which the rational expression is undefined. 3x + 5 / x + 12x + 20 The expression is undefined when x =...
- Q The function h(t) gives the height of a rock thrown off the Golden Gate Bridge in feet above the water at t seconds after it is thrown.h(t) = -16t +...
- Q The winner of a 10-mile bicycle race finishes 10 minutes ahead of a teammate and travels, on average, 10 miles per hour faster than the teammate. Find the average speed...
- Q Solve the equation using the quadratic formula.x +10x+21=0
- Q Solve the equation using the quadratic formula.x + 10x + 24 = 0The solution set is(Simplify your answer. Type an exact answer, using radicals and i as needed. Use integers...
- Q Solve the equation by factoring.9x +21x-8=0The solution set is(Use a comma to separate answers as needed. Type each solution only once.)
- Q Solve the equation using the quadratic formula.5x^2 = 2x+4
- Q A community theater uses the function p (d)=-4d^2 + 200d - 100 to model the profit (in dollars) expected in a weekend when the tickets to a comedy show are...
- Q Select the best choice for the definition for vertex. A. The graph of a quadratic function that is a U-shaped curve.B. Is defined by an ordered pair and is considered...
- Q Use the ALEKS graphing calculator to solve the system of equations.x + y = 22y=9/7 x+ 5/7Round to the nearest hundredth.If there is more than one solution, use the "or"...
- Q Which equation represents a quadratic function with a leading coefficient of 2 and a constant term of -3?
- Q Select the best choice for thedefinition of roots, zeroes orsolutions for the graph of a quadraticfunction. *A. A vertical line that passes through thevertex of the graph of a quadratic...
- Q Which of the following shows that polynomials are closed under addition when two polynomials 4x + 6 and 2x-8x-4 are added? (1 point)a. 2x-4x+2 will be a polynomialb. 2x-4x+2 may...
- Q Solve the equation using the quadratic equation.x = 2-6x
- Q Find all solutions by factoring.3w - 13w=10
- Q Solve for x.(x + 1) = 2Select the correct choice below and, if necessary, fill in the answer box to complete your choice.A. x=(Simplify your answer. Type an exact answer,...
- Q A rocket is fired upward with an initial velocity v of 70 meters per second. The quadratic function h(t) = -5t + 70t can be used to find the height...
- Q A quadratic function f is given.f(x) = -x + 12x(a) Express f in transformation form.f(x) =(b) Find the vertex and x- and y-intercepts of f. (If an answer does not...
- Q Solve by comparing the square : x2 + 8z - 2 = 0 f(x) = 5x2 - 1 Is it odd, even or neither A ball is thrown straight up,...
- Q Compute the discriminant of 8x = -7-x.The discriminant is:How many real solutions does the equation, 8x = -7-x, have?2 non-real solutionOne real solutionTwo real solutionsNone of the above
- Q Solve the quadratic equation by completing the square: t + 8t - 27 = 41Give the equation after completing the square, but before taking the square root. Your answer should...
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