Basic Math question and answers for September 23, 2024
- Q 3. Find the zeros of the quadratic function by graphing. Round to the nearest tenth if necessary.f(x) = -2x + 3x + 10.8,2.1) is a zero of the quadratic function...
- Q Which of the following reveals the minimum value for the equation 3x2 + 18x+15=0?3(x+3) = 63(x+9) = 123(x+3) = 123(x+9) = 228
- Q Consider the parabola given by the equation: y = 1x + 14x - 33Find the following for this parabola:A) The vertex = (B) The y intercept is the point (0,C)...
- Q A person standing close to the edge on top of a 112-foot building throws a ball vertically upward. The quadratic function h(t)=16t +96t+ 112 models the ball's height about the...
- Q Find all real solutions of the equation(b + 3) = 294After simplifying, the solutions should look like b = A +- B?C whereA =B =C =
- Q NASA launches a rocket at t = 0 seconds. Its height, in meters above sea-level, as a function of time is given by h(t) = -4.9t +241t+ 178. Assuming that...
- Q An object is thrown upward at a speed of 132 feet per second by a machine from a height of 17 feetoff the ground. The height of the object after...
- Q Solve this equation using the square root property. If possible, simplify radicals. All answers should be exact.(c - 9) = 29The solution(s) to this equation have the form c =...
- Q Graph f(x) = 2x 24x70 below by first selecting the correct shape, clicking the vertex, then clicking an x-intercept.
- Q Consider the quadratic function f(x) = x - 2x - 24.Determine the following: (enter all numerical answers as integers, fractions, or decimals):The smallest x-intercept is =The largest x-intercept is x...
- Q Solve for x.x+2x+1=0If there is more than one solution, separate them with commas.If there is no solution, click on "No solution."
- Q Use the discriminant b 4ac to determine the number of solutions.9x - 6x +1=0Remember:If discriminant = negative --> no real solutionsIf discriminant = zero --> 1 real solutionif discriminant =...
- Q Solve by completing the square.h + 4h = 29Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.hor h=
- Q Solve by completing the square.-3f + 18f = -33Write your answers as integers, proper or improper fractions in simplest form, or decimal rounded to the nearest hundredth.f = or f...
- Q John owns a hot dog stand. He has found that his profit is given by the equation P= -x + 60x + 71, where x is the number of hot...
- Q Given f(x) = x - 2x - 3a. Evaluate f(-3). b. Find the vertex of the parabola. c. Determine the x- and y-intercepts. Write the intercepts as ordered pairs.d. Sketch...
- Q A farmer needs to enclose three sides of a plot with a fence (the fourth side is a river). The farmer has 35 feet of fence and wants the plot...
- Q There are two machines that produce aluminum cans. The newer machine can produce 5400 cans in 180 minutes. It takes the older machine 270 minutes to produce that many cans....
- Q Find the formula, in standard form y = ar+bx+c, for a quadratic that has roots at x = -9 and x = 5, and has leading coefficient of 1.
- Q Rewrite the following polynomial in standard form.-x+7-10x
- Q Consider the following absolute value inequality. |5x + 2| < 44
- Q Find the third degree polynomial function that has an output of 320 when x = = 4, and has zeros 2 and -8i. Provide your answer below:f(x) = 7
- Q The sum of a number and its reciprocal is 17/4The number isFind the number.
- Q Use the formal definition of the derivative to find the derivative of y= 1/x+8 at x= 7Derivative isFind an equation for the tangent line to the graph of y= 1/x+8Tangent...
- Q Solve the system of equations.a+8n=22a+3n=10
- Q 5. Jessica is building a model rocket for her physics class. After studying the flight path of her rocket, she has concluded that she wants her rocket to achieve a...
- Q Given the functiony = -2x -5x - 4, give the number and type of solutions. Then use the quadratic formula to find the zeros. Show all work to receive full...
- Q Use like bases to solve the exponential equation.15625.5^(3x+4)=625x=____
- Q Find the coordinates for the vertex of the following quadratic function algebraically.Be prepared to show your algebraic work.P(x) = -9x + x2Enter the exact coordinates separately in each blank. (Do...
- Q Solve equation by using the quadratic formula. List the solutions, separated by commas.4w+3w6=0W=
- Q Cosider the quadratic function y =x - 4x - 3.The vertex is the point_____The equation of the line of symmetry is_____The vertical intercept is the point_____The horizontal intercept(s) is/are the...
- Q Which of the following statements is true for the quadratic equation x - 16x+64 = 0?The equation has no solutions.The equation has two solutions.It's impossible to determine how many solutions...
- Q Find allercepts and y-intercepts of the graph of the function.f(x)=3x +17x+20If there is more than one answer, separate them with commas.Click on "None" if applicable.
- Q A frog with bionic legs leaps from a stump with an initial velocity of 64 ft/sec. It is determined thatthe height of the frog as a function of time can...
- Q Consider the Quadratic function f(x) = x 3x - 18.Its vertex is Its largest x-intercept is x =Its y-intercept is y =
- Q The polynomial of degree 4, P(x) has leading coefficient 1, has a zero of multiplicity 2 at x = 4, a zero of multiplicity 1 at a x=0, and a...
- Q Caleb made a round-trip journey of 160 miles in each direction. Caleb's rate of travel to his destination was 15 mph slower than the rate of travel back home. His...
- Q Solve the equation 10z^2 + 11z 6 = 0.Write your answers as a list of integers or reduced fractions, with your answers separated by (a) comma(s). For example, if you...
- Q Bob is thinking deeply about the following equation:y= ax^2 + cHe comes to the conclusion that if 'a and 'c' have the same sign that there will be no x-intercepts....
- Q Solve by completing the square.X^2 + 16x +41 = 0Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.
- Q Solve by completing the square.p^2 - 24p = -19Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.
- Q Solve by completing the square. k^2 + 18k - 25 = 0Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth,
- Q For the equation, (a) solve for x in terms of y, and (b) solve for y in terms of x.6x - 2xy + 3y = 8(a) Solve for x in...
- Q Chris operates a small sign-making business. He finds that if he charges x dollars for each sign, he sells 40 - x signs per week. What is the smallest number...
- Q Solve the equation by making an appropriate substitution.x4-40x + 144= 0Make an appropriate substitution and rewrite the equation in quadratic form.Let u = x, then the quadratic equation in u...
- Q Find the quadratic function y = ax+bx+c whose graph passes through the given points.(2,-20), (-3,30), (1, -14)y=
- Q Select the correct answer.Mr. Waller owns a company that manufactures decorative statues. The revenue earned, in thousands of dollars, by the company each year over an eight-year period is modeled...
- Q Solve the equation using the quadratic formula.x-2x+17=0The solution set is.(Simplify your answer. Type an exact answer, using radicals and i as needed. Use integers or fractions for any numbers in...
- Q Solve by completing the square.x + 12x - 5 =0x = 6-?41 or x = 6 + ?41x=-6-?41 or x = ?6+ ?41x = -6?31 or x = ?6+ ?31x=...
- Q Solve 49x - 36 = 0x = 6 or x = -7x=6/7 orx = -6/7x= - 6/7x = 6/7
- Q Select the axis of symmetry and y-intercept of f (x) = -x + 4x + 1 (0, -1) (0,-5)x=-2x=-1x=0(0, 1)x=3(0,8)(0, 12)x=2 x=4
- Q Solve by factoring: 3x^2 + 7x + 2 = 0x =1/3 orx = 2x = -1/3 or x = 2x=1/3 orx = -2x= -1/3 or x = -2
- Q What are the x-intercepts of the function f (x) = 2x + 7x-4?x=-1/2?x = 4x = 1/2, x=-4x=-8, x = 1x=4,x=-7
- Q Use factoring to solve: 7x + 8x + 1 = 0x = -7 or x = 1/7x = 1 or x = 1/7x = -1 or x = -1/7x =...
- Q Find the missing value "c" to create a perfect square trinomial for x + 16x + c644-408
- Q Factor the perfect square trinomial: x - 34x + 289(x-17) (x + 17)(x-34)(x-17)(x + 17)
- Q A certain electronics manufacturer found that the marginal cost C to produce x DVD/Blu-ray players can be found using the equation C = 0.03x - 4x + 800. If the...
- Q Rewrite the equation y =-2x + 20x + 31 in graphing form by completing the square.y=-2 (x - 5) - 19y=-2 (x - 5) +81y=2(x + 5) 19y = -2(x...
- Q Find all the roots and check the answer.7x +78x+11=0
- Q Which equation models the same quadratic relationship as function ?f(x) = 2x - 12x + 11A. y = 2(x + 6) + 2B. y = 2(x ? 6) + 5C....
- Q Use the quadratic model d= -3p2 + 168p 315 to predict d if p equals 15.1845216028801530
- Q The polynomial of degree 4, P(x) has a root of multiplicity 2 at x = 1 and roots of multiplicity 1 at x = 0 and x = - 4....
- Q What substitution should be used to rewrite x8-3x4+2=0 as a quadratic equation?u = xu=x4u=x8u = x16
- Q One solution of the quadratic function f ls-5-7i. Which statement is true about this function?Another solution of function f is 5 + 7i.Another solution of function is 5 - 7iFunction...
- Q Open the graphing tool from your tools and graph this system of equations. Then approximate the solutions to this system.y = 3x+x-6y = x - 4
- Q Solve the equation x - 4x+6=0 by completing the square.
- Q For the following polynomial function, find (A) the degree of the polynomial, (B) all x-intercepts, and (C) the y-intercept.f(x) = (3x + 2)4(x ? 5)5(A) The degree of the polynomial...
- Q Consider the function f(x)=-3x + 12x-9.a. Determine, without graphing, whether the function has a minimum value or a maximum value.b. Find the minimum or maximum value and determine where it...
- Q Use the Rational Zero Theorem to list all possible rational zeros for the given function.f(x) = 5x4 +4x-12x - 4x-10Choose the answer below that lists all possible rational zeros.
- Q A toy rocket is launched straight up from the top of a building. The function that models the heightas a function of time is h (t) = -16t + 200...
- Q What are the zeros of the polynomial function F(x) = x +5x+6?A. x = -6 and x = 1B. x = -3 and x = -2C. x= -1 and x...
- Q Use the quadratic formula to solve the equation: 4x - 26x - 42 = 0Ox= 132-?337/4 or x = -13-2?//127/4Ox= 13+?337/4 or x = -13+2?127/4Ox= 13+2/127/4 or x = -13+2?/337/4Ox=...
- Q A rock falls from a tower that is 102.9 m high. As it is falling, its height is given by the formula h = 102.9-4.91. How many seconds will it...
- Q Find all the roots.22x - 15x=0x = (Use a comma to separate answers. Type repeated roots only once.)
- Q Which of the following sets contains all roots of the polynomialF(x) = 2x + x-3x?A. (0,1,3/2)B. (-3/2,0.1)C. (-3/2,1)D. (-1.-3/2)
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