Basic Math question and answers for September 21, 2024
- Q Suppose that the functions q and r are defined as follows.q(x)=-2x+2r(x)=x +1Find the following.(qor) (2) = (roq)(2) =
- Q For the following function, f(x)=x-3x-10 :(a) Find the values of x for which f(x) = 0.(b) Find f(0).
- Q Analyze the polynomial function f(x) = -3(x+2)(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= for large...
- Q E Homework: HomeworAnswer the questions about the following function.f(x)=3x-x-2(a) Is the point (-1,2) on the graph of f?(b) If x= 2, what is f(x)? What point is on the graph...
- Q Solve the following quadratic equations when the "b" term is missing.
- Q A backyard pool has a concrete walkway around it that is 4 feet wide on all sides. The total area of the pool and the walkway is 950 ft. If...
- Q olve the equation by making an appropriate substitution.36x=85x-49
- Q Given the polynomial f(x) = -2x-7x + kx + 4, find the value of k given that x=1 is a zero of the polynomial.0-9105
- Q Solve the following equation by making an appropriate substitution.(x + 5) +9(x+5) +18=0Make an appropriate substitution and rewrite the equation in quadratic form.Let u= x +5, then the quadratic equation...
- Q Factor.20a-11a-3Select the correct choice below and, if necessary, fill in the answer box within your choice.A. 20a-11a - 3 =B. The polynomial is prime.
- Q Factor.25q-40qd+ 16dSelect the correct choice below and, if necessary, fill in the answer box to complete your choice.A. 25q-40qd +16d = (Factor completely.)B. The polynomial is prime.
- Q Find the x-coordinate of the vertex, y-coordinate of the vertex, and the z-intercepts.x-coordinate of the vertex - x =-b/2a
- Q Find all values of x such that y=0.y = [x+4 / (7x-28)] -[4 / (x+4)] -2/7Select the correct choice below and, if necessary, fill in the answer box to complete...
- Q The quadratic expression (x - 1)^2 - 25 is written in vertex form.a. Write the expression in standard form.b. Write the expression in factored form.
- Q When the sum of 3 and twice a positive number is subtracted from the square of the number, 0 results. Find the number.
- Q When the sum of 4 and twice a positive number is subtracted from the square of the number, results. Find the number.The number is(Simplify your answer. Type an exact answer,...
- Q A rocket is fired upward with a velocity (v) of 96 feet per second. Find how many seconds it takes for the rocket to reach a height of 128 feet....
- Q Solve the following equation, upload a picture of your solution showing the method you chose to solve the quadratic. Make sure your work is neat and organized.3x-5x-7=0
- Q What is (are) the x-value(s) that solve the system of equations y = x and y = 2x - 1?x = 1x=-2x= -1, -2x = 1, 2No solution.
- Q Sketch the graph of the quadratic function.f(x) = 3x + 2Indicate the coordinates of the vertex, the y-intercept and the x-intercepts (if any). (If an answer does not exist, enter...
- Q x + Bx +49Find the value of "B" that will make the expression a perfect square trinomialWrite the trinomial as a product of two factors
- Q Given the polynomial functions j(x) and k(x), find k(x) - j(x).j(x) = x - xk(x) = 2x + x 1-2xx - 1x + x 12x + x-12x + 2x +...
- Q Write the quadratic equation in all 3 forms given the relevant data:Given a = 2, b = -4, c = -16, Vertex: (1,-18), x-intercepts: (4,0) and (-2,0)
- Q Write the quadratic equation in standard form.22=11x-4xThe quadratic equation in standard form is
- Q Use the remainder theorem to find P(-1) for P(x)=2x+4x +9.Specifically, give the quotient and the remainder for the associated division and the
- Q Use Descartes Rule of Signs to determine all possible combinations of real and imaginary zeros forthe polynomial f(x) = x x + 8x - 8. Then find all the real...
- Q Factor the polynomial f(x) = x - 2x - 9x + 18 given that x=2 is a zero of f(x).f(x) = (x-2)(x - 3)(x+3)f(x) = (x ? 3)(x + 3)f(x)...
- Q In this problem we will give a graph sketch of f(x) = x4 - 4x.(a) Factor f(x), find the roots.(b) For each root from part (a), give the degree.(c) Determine...
- Q Use the AC Method to factor x + 14x + 48Split the linear term, writing x2 + 14x +48 as the sum of two binomials:(be careful about how you choose...
- Q Solve the following equation by factoring.x-81=0Select the correct choice below and, if necessary, fill in the answer box to complete your choice.A. The solution set isB. There is no solution.
- Q An epidemiological study of the spread of a certain influenza strain that his a small school population found that the total number of students, P, who contracted the flut days...
- Q Use Descartes Rule of Signs to determine the possible combinations of real and imaginary zeros of each polynomial. Then, identify all the zeros of each polynomial. Please show all work...
- Q The cubic polynomial equation x + bx + cx + d = 0 has three roots X?, X2, and X3.By expanding the product (x-x?)(x - x?)(x - x3), show thata)...
- Q Write an equation representing the fact that the product of two consecutive even integers is 48. Use x to represent the smaller integer.(b) Solve the equation from part (a) to...
- Q Dilbert recently hired a roofer to do some necessary work. On the final bill, Dilbert was charged atotal of $1160. $480 was listed for parts and the rest for labor....
- Q The path of a shot put released at an angle of 35 can be modeled byy=-0.01x +0.7x + 6, where x is the horizontal distance (in feet) and y is...
- Q The cost for ground shipping with FedEx and UPS varies. UPS charges $8.25 initially, and then $0.20 per pound. FedEx initially charges $9.50 and then $0.16 per pound. Write the...
- Q Solve the equation by factoring.= 6x + 27Rewrite the equation in factored form.= 0(Factor completely.)The solution set is.(Use a comma to separate answers as needed. Type each solution only once.)
- Q The sum of two polynomials is shown below.Polynomial p: 3x + 6Polynomial q 42 - 8xp+q = (3x+6) + (4x - 8x) = 4x - 5x + 6How does the...
- Q Solve the equation by factoring.3x(x-2)=8x - 10xRewrite the equation in factored form.=0(Factor completely.)The solution set is.(Use a comma to separate answers as needed. Type each solution only once.)
- Q Write the polynomial f(x) that meets the given conditions. Answers may vary.Degree 3 polynomial with zeros of -4, 5i, and -5i.
- Q Find any intercepts.y = x + 7x - 8y-intercept:x-intercepts:(x, y) =(x, y) =(x, y) =(smaller x-value)(larger x-value)
- Q Solve the following using substitution.If one solution, type that point in for both points.If no solution, type in "NS".y = x2 - 5x + 7y = 2x + 1Solution 1:...
- Q Given f (x) = x + 2x - 7 and g(x) = 2x + 2, determine the x valuesfor which f(x) = g(x). Round your answers to the nearest hundredth.x=...
- Q A motorboat maintained a constant speed of 12 miles per hour relative to the water in going 23 miles upstream and then returning. The total time for the trip was...
- Q Solve for v.3/5v-25 +1=-1/v-5If there is more than one solution, separate them with commas.If there is no solution, click on "No solution".
- Q Use function notation to rewrite the function using the given functiony = 8x +7x+5, function name fChoose the correct function below.A. 8f2 +7f=y-5B. y=8f +7f+5C. f(y) = 8x + 7x+5D....
- Q Use the long division algorithm to determine the quotient in problems 1-6.1.2x-3x-5/x+12.2x-13x-x+3/2x+1
- Q Write the quadratic function in intercept form that has intercepts of -3 and 7 and goes through the point (6, -9)
- Q When the equation5.31x +2.92x-1.93=0is solved, the two values of the unknown x are _____ and ______
- Q Factor 5x 13x - 6. The factors are
- Q A model rocket is launched vertically from a platform 64 feet above the ground. The height the rocket reaches during the flight is modeled by the equation: s(t) = ?16t...
- Q Write the quadratic function in standard form that goes through the points (1, 5), (0,3), and (2, 3)
- Q Write the quadratic function in standard form. y = -2(x - 3) - 3(fill in the blanks with the correct coefficient. If the coefficient has a "minus sign" in front...
- Q Use the quadratic formula to solve for x.2x-3x-7=0(If there is more than one solution, separate them with commas.)
- Q What is the equation for g, which is f(x) = 2x2 + 3x - 1reflected across the y-axis?g(x) = 2x + 3x - 1B g(x) = -2x2 - 3x +...
- Q Solve the equation using the quadratic formula.10x= 2x+3The solution set is
- Q Solve the equation by the method of your choice.x +6x=10The solution set is
- Q Solve the equation by the square root property.3(x+5) = 54The solution set is.
- Q Solve the quadratic equation by completing the square.x - 6x-6=0To complete the square, what number should be added to both sides of the equation?(Type an integer or a simplified fraction.)
- Q Solve the equation by the square root property.3(x+6) = 36The solution set is(Type an exact answer, using radicals as needed. Use a comma to separate answers as needed. Simplify your...
- Q 17. Fill in the blank to complete the next step in solving the quadratic equation using thecomplete the square method:c + 10c + 8 = 0c + 10c= -8c+10c +...
- Q When p (x) is divided by (2x - 1), the quotient is (x + 3x - 1) and theremainder is 10. The function p(x) is:a) p (x) = 2x 5x...
- Q Find the zeros for the given polynomial function and give the multiplicity for each zero. State whether the graph crosses the x-axis or touches the x-axis and turns around at...
- Q Describe the multiplicity and zeros for the following polynomial: (x-9)2(x+8)7(x+10)Roots:. 2 (multiplicity of 9). 7 (multiplicity of 8). 1 (multiplicity of 10)Roots:. -9 (multiplicity of 2).8 (multiplicity of 7). 10...
- Q When finding the discriminant and it's positive, how many real solutions does it have?What if it's negative?What if it's 0?positive = no real solutions; negative = 1 real solution; 0...
- Q For the equation below:6x + 5x+8=0Find the discriminant of the quadratic equation.How many real solutions does the quadratic equation have?A Two Real SolutionsB One Real Solutionc No Real Solutions
- Q Frankie performed the following steps to solve the equation 2mStep 1: 2m - 24m +54 = 0Step 2: 2 (m - 12m +27) = 0Step 3: 2 (m - 9)...
- Q Given the height of a rocket is represented by a function given by H (t) = -16t^2 +50t + 50. Where H is in feet and t is in seconds....
- Q Select all the polynomial functions whose graphs have x-intercepts at x = 4,-1/4,-2.a. (x+4)(4x?1)(x?2)b.(x?4)(4x + 1)(x+2)c.(x?4)(4x?1)(x?2)d.(x + 4)(4x + 1)(x+2)e.(2x+4)(4x?1)(x?2)f.(4x-16)(4x + 1)(x+2)Explain or show your reasoning:
- Q To solve a quadratic equation by factoring, please order the following steps:Start123Factor completely.Set each factor equal to zero and solve for x.Get equation set equal to zero.
- Q Consider the polynomials below.P(r) = (x + 3x) (2x - 7x + 4)Q(x) = 215 714 - 1 + 6x + 11x - 9Determine which operation results in the simplified...
- Q Rewrite the following quadratic function in standard (vertex) form.Enter exact values and use improper fractions, if necessary.Provide your answer below:f(x) = -7x - 4x ? 6f(x) =
- Q Graph the parabola.y = 3x + 18x+21Plot five points on the parabola: the vertevertex, and two points to the right of thefunction button.
- Q A car's velocity is modeled by v(t) = 0.5t - 14t+ 80 for 0 ?t? 14, where the velocity is in feet per second and time is in seconds. When...
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