Basic Math question and answers for September 20, 2024
- Q The polynomial f(x) given below has 1 as a zero.Find all the other zeros of f(x).Provide your answer below:(x) = x ? 3x + 4x ? 2
- Q Which of the following are odd functions?Select all correct answers.Select all that apply:(x) = ?9x(x) = x ? x + 5f(x) = 2x + xf(x) = 3x + 3xf(x) =...
- Q One factor of the function f(x) = x3 - 8x + 17x - 10 is (x - 5). Describe how to find the x-intercepts and the y-intercept of the graph...
- Q Rewrite the following equation in standard form.f(x) = (2x + 5)(3x 5)a f(x) = 6x5x - 25b f(x) = 6x + 5x 25c f(x) = 6x + 25x 25d f(x)...
- Q The graph of y = 5x6 - 3x4 +2x-9 has at most how many turning points?Choose the correct answer below.
- Q Solve for w.3w2 +5=-8wIf there is more than one solution, separate them with commas.If there is no solution, click on "No solution."
- Q Use the long division method to find the result when 8x3 +22x + 29x + 21 is divided by 2x + 3.
- Q Find all the zeros of the quadratic function.y=x-2x-24If there is more than one zero, separate them with commas.If there are no zeros, click on "None".
- Q Solve for u.(u+6) =2u +9u+26If there is more than one solution, separate them with commas.
- Q The flight of a kicked football follows the quadratic function f(x) = -0.02x +2.2x +2, where f(x) is the vertical distance in feet and is the horizontal distance the ball...
- Q Watch the video that describes using the zero-product property with one solution.Click here to watch the video.Solve the following equation. For an equation with real solutions, support your answer graphically.64s...
- Q Solve (x-5)2-20=0, where x is a real number.Simplify your answer as much as possible.If there is more than one solution, separate them with commas.If there is no solution, click "No...
- Q Solve the equation. For an equation with real solutions, support the answer graphically.5x - 6x=0Rewrite the equation in factored form._________=0(Factor completely.)
- Q For the quadratic function defined, (a) write the function in the formP(x)= a(x-h)2+k, (b) give the vertex of the parabola, and (c) graph the function.P(x)=x-3x+3
- Q Watch the video that describes completing the square.For the quadratic function defined, write the function in the form P(x)= a(x-h) + k.P(x)=x - 6x-4
- Q For the following quadratic function, (a) use the vertex formula to find the coordinates of the vertex and (b)graph the function.P(x)=x - 4x +3The vertex is(Type an ordered pair.)
- Q Determine whether the function's verlex is a maximum point or a minimum point.(1/2)x+x=y=5The vertex is a maximum point.The vertex is a minimum point.Find the coordinates of this point.(x, y) =Find...
- Q 3. Graph the following equation by findingtheir intercepts. If an equation cannot begraphed using the intercepts, graph it byfinding other points on the line. Use a thirdpoint on each graph...
- Q Use Descartes' rule of signs to determine the total number of real zeros and the number of positive and negative real zeros. (Hint: First factor out x to its lowest...
- Q Jason and his team were working on finding the points of intersection of f(x) = 2x -5x + 6 andg(x) = 2x-x+ 30. He suggested, "Maybe we could start by...
- Q Graph the equation y = -x + 6x - 8 on the accompanying set ofaxes. You must plot 5 points including the roots and the vertex. Usingthe graph, determine the...
- Q Put the equation y = x + 14x + 40 into the form y.= (x - h) + k:Answer: y =
- Q Consider the parabola given by the equation: f(x) = - 2x + 4x + 15Answer the following for this parabola:A) The graph of this function opens: Select an answerB) Give...
- Q Solve the equation 2 = - 4s2 - 9sState your answers as integers or reduced fractions, separated by commas.
- Q If the discriminant of a quadratic equation is -2, then the equation hasIf the discriminant of a quadratic equation is 2, then the equation hasIf the discriminant of a quadratic...
- Q Which statements are true about exponential functions and quadratic functions? Check all that apply.Quadratic functions both decrease and increase for different values of X.Equations of both quadratic and exponential functions...
- Q While warming up for a game, two basketball players shoot balls in parabolic paths. The path of the first player's ball can be represented by the function g(x) = -2x...
- Q Plot the given parabola on the axes. Plot the roots, the vertex and two other points.-10y = 2x + 246x + 6804
- Q Consider the quadratic equation 4x - 11x - 3= 0. Which of the following shows this equation rewritten and ready to solve using factoring by grouping?A) 4x - 9x-2x -...
- Q Write the equation of the quadratic function whose graph is a parabola containing the points (10,84), (0, -1), and (-5,31.5).y=(Use integers or decimals for any numbers in the expression.)
- Q The global spending on travel and tourism (in billions of dollars) can be described by the equationy = 1.48x- 25.23x + 416.91where x equals the number of years past 1990.+...
- Q Using data from 2002 and with projections to 2024, total annual expenditures for national health care (in billions of dollars) can be described byE = 4.61x + 43.4x + 1620where...
- Q List the roots of the parabola: y = 4x + 8x - 2In other words, list the solutions of the equation: 0 = 4x + 8x - 2Your answers must...
- Q The temperature T, in degrees Fahrenheit, of a person during an illness is given by the function T(t) = 6t/t^2+1+98.6, where t= time, in hours. Find the interval over which...
- Q (a) Find the vertex and axis of symmetry of the quadratic function. (b) Determine whether the graph is concave up or concave down. (c) Graph the quadratic function.f(x) = (x...
- Q Solve the following quadratic inequality.x2+5x+4?0Submit your answer by dragging the movable bluepoints on the number line. For an interval thatextends to +? or -?o move the blue points tothe right...
- Q An object is thrown upward at a speed of 131 feet per second by a machine from a height of 14 feet off the ground. The height of the object...
- Q Solve the following quadratic inequality.x-x-6?0Submit your answer by dragging the movable bluepoints on the number line. For an interval thatextends to +? or -?o move the blue points tothe right...
- Q Given f(x) = x + 6x +16, what is the y- intercept?A y = 20By=16Cy=1Dy=0
- Q Abigail has $30.00 to buy groceries. She needs to buy some apples, some bananas, and 3 pounds of potatoes. Fuji apples are $1.79 a pound, bananas are $0.36 each, and...
- Q A quadratic function f(x) is hidden from view. You must find all intervals wheref(x) is increasing. Choose the form of the quadratic function f(x) that you wouldlike to see in...
- Q Which of the following polynomial equations are equivalent? Select all that apply.I.ab(x ? 3)(x + 3) = abx - 6abx - 9abII.(-x+3) - 3x + 2 = -(2x - 6x...
- Q Use the Intermediate Value Theorem to determine whether the polynomial function has a real zero between the given integers.f(x) = 8x + 2x+ 9x - 9; between -2 and -1
- Q Solve for x in x2 + 5x-6 = 0 using the QuadraticFormula.x = 5,6x = 2,3x=1, -6x = -2, -3x = -1, -6
- Q Franco borrows a total of $5,000 in student loan from two lenders. One charges 4.1% simple interest and the other charges 6.1% simple interest. He is not required to pay...
- Q Consider the following equation 28x+28x + 7 = 0.(a) Solve the equation by completing the square.NOTE: Enter your solutions exactly. If there is only one solution, enter it twice.(b) Solve...
- Q Without solving, say whether the equation (x + 4) = 19has two solutions, one solution, or no solution.The equation hasbecause
- Q Given a polynomial that has zeros of -1, 7i, and -7i and has a value of 1000 when x = 1. Write the polynomial in standard form ax + bxn-1+....
- Q Factor the following expression completely:x + 12x + 27
- Q Factor the following expression completely:r -10r + 25
- Q Factor the following expression completely:27x +24x16
- Q Solve the equation: m2 - 6m = 0
- Q Decide whether the following statement is true or false.The graph of f(x) = 4x + 5x - 7 opens up.Choose the correct answer below.FalseTrue
- Q Here is a quadratic function in factored form. Fill in the blanks about the vertex and intercepts. Enter intercepts as ordered pairs, aka points. Then graph the quadraticy = -3(z...
- Q 3. Evin is walking home from the museum. She starts 38 blocks from home and walks 2 blocks each minute.Evin's distance from home is a function of the number of...
- Q The area (in square inches) of a rectangle is given by the polynomial function A(y) = y + 5y + 6. If the length of the rectangle is (y +...
- Q Use z scores to compare the given values.The tallest living man at one time had a height of 240 cm. The shortest living man at that time had a heightof...
- Q Solve the equation. List both the exact solution and its approximation rounded to two decimal places. (Enter your answers as acomma-separated list. If an answer does not exist, enter DNE.)12x136x...
- Q ks. Diagrams are not to scale unless otherwise stated.2. The coordinates of the endpoints of ABC areA(-8,-2) and C(16,6). What are the coordinates ofpoint B, such that AB:BC is 3:5?
- Q List the roots of the parabola: y = x - 6x + 10In other words, list the solutions of the equation: 0= x - 6x + 10H= Your answers must...
- Q Two long distance runners began an 18 3/4-mile run. They ran uphill for 5 5/8 miles, downhill 7 1/3 miles, and the rest of the course was level. Find the...
- Q Exercise #3: The graph of the function y=x-4x+1 is shown below.(a) State this function's y-intercept.(b) Between what two consecutive integers does the larger x-intercept lie?(c) Draw the horizontal line y=-2...
- Q The Royal Fruit Company produces two types of fruit drinks. The first type is 70% pure fruit juice, and the second type is 95% pure fruit juice. The company is...
- Q A ball is launched from a 1128.32-foot tall platform. The equation for the ball's height h at time t seconds after launch is h(t) = ? 16t + 6.4t +...
- Q Solve the following equation.y4 +12y - 13 = 0
- Q A box with an open top has a square base and four sides of equal height. The volume of the box is 144 ft. If the surface area is 160...
- Q We are standing on the top of a 512 feet tall building and launch a small object upward. The object'svertical position, measured in feet, after t seconds is h(t) =...
- Q Please number your responses to the questions as they are shown (1 and 2).Tanya is given the graphs of the following functions. The functions f(x) and g(x) are linear, and...
- Q Determine if the following sets of quadratics are equivalent. Choose true or false.x-10x+14 = 0 and (2x-10)2 =156(x-10) = 68 and - 20x=-32x - 6x=247 and (x-3) = 256(x +...
- Q Use the long division method to find the result when 3x + 5x - 15x+7 is divided by x - 1.
- Q Answer the following parts.(a) Solve x - 7x + 10 = 0.(b) Solve (x-3) - 7(x-3) + 10 = 0. Compare the solutions to part (a).(c) Solve (x + 2)...
- Q Consider the following expression:5x2 +8Step 1 of 2: The given expression is a polynomial. Determine if the polynomial is a monomial, binomial, or trinomial.
- Q For the quadratic function f(x) = 2x + 24x + 9,(a) Use completing the square to write the function in the form f(x)= a(x-h)+k.(b) Use your answer to (a) to...
- Q Where is the function f(x)=x increasing? Where is it decreasing?
- Q Solve the following equation using the quadratic formula.x +9x+3=0Using the standard form of a quadratic equation (ax +bx+c= 0) so that a > 0, identify each of the following:a= (use...
Get Answers to Unlimited Questions
Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!
Membership Benefits:
- Unlimited Question Access with detailed Answers
- Zin AI - 3 Million Words
- 10 Dall-E 3 Images
- 20 Plot Generations
- Conversation with Dialogue Memory
- No Ads, Ever!
- Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!