123 Answered Questions for the topic Quadratics
Given the quadratic 5x^2 + ax - 1 = 0, what would a need to be in order for the discriminate to be 29?
The height h (in feet) of a diver t seconds after jumping from a diving board can be modeled by h = −16t^2 + 16t + 10. Find the diver’s maximum height.
A basketball player shoots a ball toward the basket. Use the given ordered pairs to complete the problem, where t represents time and h(t)represents the height of the... more
The height of h (in feet) of a baseball t seconds after it is hit is given by the function y = −16t 2 + 96t + 3. Find the maximum height of the baseball.
Hint- convert to vertex form
Find the equation of the parabola, with axis of symmetry of the y-axis, which passes through the points 𝐴(−2,1) and 𝐵(4, −5).
Finding a point on a parabola
I need to find the point (x,15) on the parabola with the equation h(x)=-8x^2+50x+26. How would I calculate that out.
What is the best method for factoring a quadratic?
Quadratic Word Problem
A woman falling from a building is modeled by the equation, h=-16t^2+300. Superman makes a path modeled by the equation, 100t+3h=600. Will he get to her before she hits the ground? If so at what... more
Min/Max applications of quadratic formulas
The total cost of producing a type of truck is given by , C(x) = 21000 -20x + 0.04^2 where x is the number of trucks produced. How many trucks should be produced to incur minimum cost?
Quadratics College Algebra
Max/Min applications of quadratics
The total cost of producing a type of tractor is given by , C(x)= 21000-60x + 0.05x^2 where x is the number of tractors produced. How many tractors should be produced to incur minimum cost?
throwing a softball
Aida threw a softball that traveled along a path described by the parabola y= -x^2 + 10x, where y = the height of the softball in feet and x = the horizontal distance in feet that the ball has... more
Quadratic Equation Question
You throw a stone off a cliff 36 feet above the water. The height of the stone in terms of time in seconds is given by h(t)= -16t2+7t+36. At what time will the stone splash into the water?
An equation of a Parabola in the form of y=(x-h) squared + K
An equation of a Parabola in the form of y=(x-h)2+ K and passes through points (0,6) and (-3,21) Find Its equation?
Graphs of Quadratics
A student estimated based on the video that the ball left my hand 1.56 meters off the ground, and after 0.59 seconds the ball reached the maximum height of 3.26 meters.Use this information to find... more
Solving Quadratics by the Quadratic Formula
Damian the diver always dives into the deep abyss following the equation d=-5t2+10t+5, where d is the distances above the water (in meters) and t is the time (in seconds). How high is the diving... more
A Parabola has a vertex (-3,7) and one x intercept is -11. Find the other x intercept and the y intercept.
A Parabola has a vertex (-3,7) and one x intercept is -11. Find the other x intercept and the y intercept. How on earth do i do thisCould you go step by step
whats one parabola that can pass through both (15,10) and (0,8)
in vertex,standard,or factorized form
The curved surface area of a cylinder of radius xcm and length 3x+2cm is 32pi cm^2. Form an equation, in terms of x, and solve it to find the length of the cylinder
answer a, b and c
You will build a rectangular sheep pen next to a river. There is no need to build a fence along the river, so you only need to build three sides. You have a total of feet of fence to use. Find the... more
applications of quadratics
A coin, thrown upward at time 𝑡=0 t = 0 from an office in the Empire State Building, has height in feet above the ground 𝑡 t seconds later given by h(t)=-16t^2+64t+960=-16(t-10)(t+6) From what... more
the width of a rectangle is 3cm less than the legnth. If the area of the rectangle is 10cm2, find the dimensions of the rectangle.
Find $C$ such that $x^2 - 47x - C = 0$ has integer roots, and further conditions?
Have been working on this for years. Need a system which proves that there exists a number $C$ which has certain properties. I will give a specific example, but am looking for a system which could... more
the product of two consecutive even integers is 12 more than six times the smaller number
Finding quadratic equation
The braking distance of a car travelling at 100km/h is 40 metres. The formula for braking distance (d) in metres is d=kx2 where k is constant and x is speed in km/h. a) Find the value of k
Find three points given the equation 10x^2-26x=-12
Please help me and be descriptive on how you found points.