Tutors Answer Your Questions about Quadratic Equations (FREE)
Question 1077963: In two or more complete sentences, compare the number of x-intercepts in the graph of f(x) =x^2 to the number of x-intercepts in the graph of g(x) = x^2 +2. Be sure to include the transformations that occurred between the parent function f(x) and its image g(x).
Click here to see answer by josmiceli(19441)   |
Question 1077996: The speed of a sparrow is x km/h in still air. When the wind is blowing at 1 mph, the sparrow takes 5 hours to fly 12 miles to its nest and to return again. She flies out directly into the wind and returns with the wind behind her. Find her speed in still air. (Answer was 5 in the book)
Click here to see answer by josgarithmetic(39617) |
Question 1077996: The speed of a sparrow is x km/h in still air. When the wind is blowing at 1 mph, the sparrow takes 5 hours to fly 12 miles to its nest and to return again. She flies out directly into the wind and returns with the wind behind her. Find her speed in still air. (Answer was 5 in the book)
Click here to see answer by Theo(13342)  |
Question 1077996: The speed of a sparrow is x km/h in still air. When the wind is blowing at 1 mph, the sparrow takes 5 hours to fly 12 miles to its nest and to return again. She flies out directly into the wind and returns with the wind behind her. Find her speed in still air. (Answer was 5 in the book)
Click here to see answer by Alan3354(69443)  |
Question 1077996: The speed of a sparrow is x km/h in still air. When the wind is blowing at 1 mph, the sparrow takes 5 hours to fly 12 miles to its nest and to return again. She flies out directly into the wind and returns with the wind behind her. Find her speed in still air. (Answer was 5 in the book)
Click here to see answer by Fombitz(32388)  |
Question 1077996: The speed of a sparrow is x km/h in still air. When the wind is blowing at 1 mph, the sparrow takes 5 hours to fly 12 miles to its nest and to return again. She flies out directly into the wind and returns with the wind behind her. Find her speed in still air. (Answer was 5 in the book)
Click here to see answer by MathTherapy(10551)  |
Question 1077977: In two or more complete sentences, compare the number of x-intercepts in the graph of f(x) = x^2 to the number of x-intercepts in the graph of g(x) = -x^2 +7. Be sure to include the transformations that occurred between the parent function f(x) and its image g(x).
Click here to see answer by Boreal(15235)  |
Question 1078540: The flight of a flare fired from a boat is h=-.04t+15 where h is the height of the flare in meters and t is the time in seconds.
a)What is the max height the flare reaches?
b)how long does it take to get their?
c)How long will it take the flare to hit the water?
d)What is the height of the boat?
Click here to see answer by josmiceli(19441) |
Question 1078766: Karl correctly solved a quadratic equation. If her solution set is {-4, 0}, which of the following could be the graph of the equation?
A: Zeros are -4 and 0, vertex is (-2,4)
B: Zeros are -2 and 4, vertex is (1,-4.5)
C: Zeros are -4 and 2, vertex is (-1,-4.5)
D: Zeros are 0 and 4, vertex is (2, -4)
Please explain also, my teacher did not teach us this
Thank You!
Click here to see answer by MathLover1(20849)  |
Question 1078770: Given the diagram below, find the dimensions of the rectangle if the area is 128 square feet.
Rectangle Area=(x-1)(x+7)
I have no idea how to do this and if you could please explain the steps that would be awesome!
Thank You!!!
Click here to see answer by stanbon(75887) |
Question 1078770: Given the diagram below, find the dimensions of the rectangle if the area is 128 square feet.
Rectangle Area=(x-1)(x+7)
I have no idea how to do this and if you could please explain the steps that would be awesome!
Thank You!!!
Click here to see answer by MathTherapy(10551) |
Question 1079056: 1.Sketch the graph of y=-x2-2x+3
2.Sketch the graph of y=-x2+2x-2
3.Find the equation for the linear function that is parallel to f(x)=3/2x-3 through (4,-1)
4.Find the equation of the line that is perpendicular to the equation f(x)=2.5x-0.5 through (-4,2)
Click here to see answer by Boreal(15235) |
Question 1079076: A light aircraft flies from a to b , 450 km away , and back from b to a
In a total time of 5 1/2 hours . Suppose that during the whole journey there is a constant wind blowing from a to b . If the speed of the aircraft in the still air is 165 km/h . Find the speed of the wind .
Click here to see answer by josgarithmetic(39617) |
Question 1079076: A light aircraft flies from a to b , 450 km away , and back from b to a
In a total time of 5 1/2 hours . Suppose that during the whole journey there is a constant wind blowing from a to b . If the speed of the aircraft in the still air is 165 km/h . Find the speed of the wind .
Click here to see answer by ikleyn(52778)  |
Question 1079156: Sir Isaac Newton XIV, a descendant of the famous physicist and mathematician, takes you to the top of a building to demonstrate a physics property discovered by his famous ancestor. He throws your math book straight up into the air. The book's distance, s, above the ground as a function of time, t, is modeled by s=-16t^2+16t+32
a) When the book strikes the ground, what is the value of s?
b) Write an equation that you must solve to determine when the book strikes the ground.
c) solve the equation from problem b by factoring.
d) Are both solutions to the equation (t=2 and t=-1) also solutions to the question, "At what time does the book strike the ground"? Explain.
e) You want to know at what time the book is 32 feet above the ground. Write a quadratic equation that represents this situation.
f) Solve the equation from problem e by factoring.
Click here to see answer by Boreal(15235) |
Question 1079201: Your neighbors have just finished installing a new swimming pool at their home. The pool measures 15 feet by 20 feet. They would like to plant a strip of grass of uniform width around three sides of the pool, the two short sides and one of the longer sides.
a) Sketch a diagram of the pool and the strip of lawn, using x to represent the width of the uniform strip.
b) write an equation for the area, A, in terms of x that represents the lawn area around the pool.
c) Your neighbors have enough seed for 168 square feet of lawn. Write an equation that relates the quantity of seed to the area of the uniform strip of lawn.
d) Solve the equation in part c to determine the width of the uniform strip that can be seeded.
Click here to see answer by josmiceli(19441) |
Question 1079274: A 1/4 -mile track for racing stock cars consists
of two semicircles connected by parallel straightaway. In order to provide sufficient room for pit crews,
emergency vehicles, and spectator parking, the track must enclose an area of 100,000 square feet. Find the length of the
straightaways and the diameter of the semicircles to the nearest foot.
Click here to see answer by josgarithmetic(39617) |
Question 1079402: Ben shoots an arrow. The height of the arrow can be modleled at y=-16x^2 +100x + 4, where y represents the height in feet of the arrow x seconds after it is shot into the air.
A. Graph the height of the arrow
B. At what height was the arrow shot
C. What was the maximum height of the arrow
Click here to see answer by josmiceli(19441) |
Question 1079519: A rectangular garden has dimensions 6m x 4m. If each dimension is increased by the same amount, the area of the new rectangle is 50m^2.
By how much is each dimension increased?
What are the new dimensions of the garden?
Click here to see answer by ikleyn(52778) |
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