Tutors Answer Your Questions about Quadratic Equations (FREE)
Question 166632: An NFL kicker attempts a 41-yard field goal. The path of the football toward the uprights can be represented by the graph of the quadratic function f(x)= -.0625x²+2.7x, where x is the horizontal distance the football travels in yards and the f(x) is the vertical distance the football travels. The bottom of the uprights is 3.5 yards above the ground.
1. Assuming the kick is in between the uprights, did the kicker make the field goal? Why or Why not?
2. Would the kicker have made a 42-yard field goal with the same kick? Why or Why not?
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 167340: I am having trouble understanding and solving quadratic equations. x^2-2x-13=0
and 4x^2-4x+3=0
The steps I need to use are:
a. move the constant term to the right side of the equation
b. multiply each term in the equation by four times the coefficient of the x^2 term.
c. square the coefficient of the original x term and add it to both sides of the equation
d. Take the square root from both sides
e. Set the left side of the equation equal to the positive square root of the number on the right side and solve for x.
f. set the left side of the equation equal to the negative square root of the numberon the right side of the equation and solve for x
I have to solve these kind of questions on a test and I am lost. This is what I have so far: x^2-2x-13=0
x^2 -2x=13
4x^2-8x=52
Can you help me?
~Jenn
Click here to see answer by nerdybill(7384)  |
Question 167432: A rectangular swimming pool is surrounded by a walk. The area of the pool is 323 sq ft, and the outside dimensions of the walk are 20x22 ft. How wide is the walk?
I know this should be simple, but I'm struggling with it!
Thank you so much for your help, what ever kind person answers my question!
Lauren
Click here to see answer by scott8148(6628)  |
Question 167426: The annual yield per lemon tree is fairly constant at 320 pounds when the number of trees per acre is 50 or fewer. For each additional tree over 50, the annual yield per tree for all trees on the acre decreases by 4 pounds due to overcrowding. Find the number of trees that should be planted on an acre to produce the maximum yield. How many pounds is the maximum yield?
I understand the concept of max and min. What I can't get is the quadratic function.
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 167518: A firm can sell X units of a product at a price of P cents per unit, where P = 503 - X
The total costs of production is given by the function T(X) = 500 + 2X.
# Find the number of units to be sold to achieve maximum profit and find the maximum profit.
# What price per unit would the firm be charging at the maximum profit output level?
Click here to see answer by stanbon(75887) |
Question 167546: Word problems inolving ratios and poportions, percen, etc..
50 is what pecent of 80?
x * 80/100 = 50
=> x = 500/8 = 62.5
82 of what number is 16?
x/100 * 82 = 16
=> x = 1600/82=800/41 = 19.51
Click here to see answer by sowmya(32) |
Question 167548: Zarig took part in a 26 mile road race.
a. he ran the first 15 miles at an average speed of x mph. he ran the last 11 miles at an average speed of (x-2)mph. write down an expression,in terms of x, for the time he took to complete the 26 mile race?
b.zarig took 4 hours to complete the race. using your answer to part a, form an quation in terms of x.
c. i) simplify your equation and show that it can be written as
2x^2-17x+15=0
ii) solve the quation and obtain zarig's average speed over the first 15 miles of the race.
pls it would kind enough if you can help me put with this question?
Click here to see answer by stanbon(75887) |
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