Tutors Answer Your Questions about Quadratic Equations (FREE)
Question 117245: I'm not exactly sure what section this is either. I'm realy sorry! But, if you don't mind, can you please help me with this one too?
f(x)= {-1 for 0< or equal to x<1
{-3 for 1< or equal to x<2
{-5 for 2< or equal to x<3 and so on...Graph f(x) for 0
Click here to see answer by Edwin McCravy(8908)   |
Question 117346: I have a maths c/w on Pythagorean triples (gcse level) and we are using the quadratic formula:
.
a + d (n-1) + 0.5 c (n-1) (n-2)
.
for the sequence of Pythagorean triples multiplied by 4.
where:
.
a = first term
d = first difference
c = second difference
.
length of middle side: 16, 48, 96, 160, 240
.
I have done so far:
.
a = 16
d = 32
c = 16
.
substitute:
.
16 + 32 (n-1) + 0.5 * 16 ( n-1) (n-2)
.
giving me:
.
.
simplified:
.
.
BUT when i am checking it against the third term (96) the 16 at the end of the equation is
left as extra and the answer I seem to get is 112 (an extra plus 16)
.
please help me urgently
Click here to see answer by bucky(2189) |
Question 118188: It's a story where you are supposed to pull out information to build and a quadratic equation step-by-step, and then possible solve it. Here's the story;
"A retailer spent $48 to purchase a number of special mugs. Two of them were broken in the store, but by selling each of the remaining mugs for $3 above the original cost per mug, she made a total profit of $22. Construct an equation that will allow us to solve for the number of mugs, denoted by n, that were originally purchased."
Step 1) If the price for n mugs is $48, how can we express the cost per mug?
I figured it out to be: 48/n=y
Step 2) we are told that the retailer, in order to make a specific profit, sells the remaining mugs for $3 more than the original cost per mug. using this information, and your answer to step 1, how can we express the selling price per mug?
I figured it out as: n(y+3)=70, this is from cost $48 for all mugs plus the profit of $22.
Step 3) Since two of the mugs were broken in the store, how can we represent the number of mugs available for sale?
I figured it be: n-2
Step 4) Using your answers from step (2) and (3)construct an expression for the the amount of money made on the sale of the remaining mugs.
I figured that out to be: n-2+n(y+3)=70
Step 5) The profit on the mugs can be found by subtracting the cost of the mugs from the amount of money made on the sale of the mugs. Write an eqution that states this relationship between the money made, the cost, and the profit.
I know the equation has to equal -48+70=22, but how...
is it like: -48+(n-2)+n(y+3)=22
Then to top this off rewrite the equation that you wrote in step (5) in the standard form of a quadratic equation.
Please tell me if I'm on the right track, or at least help get to the track?
Click here to see answer by scott8148(6628)  |
Question 118217: Hello, I am having problems understanding the steps used to solve equations using the quadratic formula. Can you please show me detailed steps to understand how to solve this problem. All help is greatly appreciated, thank you.
My directions say to use the quadratic formula to solve.
3x^2 – 2x = 15x – 10
Thank you
Patti
Click here to see answer by jim_thompson5910(28579) |
Question 118217: Hello, I am having problems understanding the steps used to solve equations using the quadratic formula. Can you please show me detailed steps to understand how to solve this problem. All help is greatly appreciated, thank you.
My directions say to use the quadratic formula to solve.
3x^2 – 2x = 15x – 10
Thank you
Patti
Click here to see answer by ankor@dixie-net.com(15649)  |
Question 118246: 1- Find the roots- 1/x+4 - 1/x-7= 11/30, x is not equal to -4,7.
2- Sum of the areas of two squares is 468m2. If the difference of their perimeters is 24m, find the sides of the two squares.
3-The sum of the reciprocals of Rehman's ages(in years) 3 years ago and 5 years from now is 1/3. Find his present age.
Click here to see answer by stanbon(57307) |
Question 118245: a>
Is it possible to design a rectangular mango grove whose length is twice its breadth, and the area is 800 m2? If so, find its lenght and breadth.
b>
The sum of the ages of two friends is 20 years. Four years ago, the product of their ages in years was 48. Determine their present ages.
c>
Is it possible to design a rectangular park of perimeter 80 m and 400 m2? If so, find its lenght and breadth.
Click here to see answer by ankor@dixie-net.com(15649) |
Question 118286: jessie kicked a soccer ball into the air with an initial upward velocity of 40 feet per second. The hieght (h) in feet of the ball above the ground can be modeled by h=-16t2+40t,where t is the time in seconds after jessie kicked the ball. find the time it takes the ball to reach 25 feet above the grond.
Click here to see answer by jim_thompson5910(28579) |
Question 118354: Identify the axis of symmetry, create a suitable table of values, and sketch the graph for the following table.
y=x^2-5x+3
I have the axis of symmetry of x=5/2
I know how to graph this equation.
I need help with creating a suitable table of values. I am confused with this. Please help.
Click here to see answer by Earlsdon(6287) |
Question 118354: Identify the axis of symmetry, create a suitable table of values, and sketch the graph for the following table.
y=x^2-5x+3
I have the axis of symmetry of x=5/2
I know how to graph this equation.
I need help with creating a suitable table of values. I am confused with this. Please help.
Click here to see answer by scott8148(6628) |
Question 118365: A fountain in the town square sprays water in a parabolic arc. The water spray starts at 1/2 metre above the ground and reaches a maximum height of 5 metres after 3 seconds. Determine the quadratic function that models the path followed by the water in the fountain and use it to determime the height of the water at 1&3/4 seconds . Round your answer to the nearest tenth of a metre .
Click here to see answer by stanbon(57307) |
Question 118365: A fountain in the town square sprays water in a parabolic arc. The water spray starts at 1/2 metre above the ground and reaches a maximum height of 5 metres after 3 seconds. Determine the quadratic function that models the path followed by the water in the fountain and use it to determime the height of the water at 1&3/4 seconds . Round your answer to the nearest tenth of a metre .
Click here to see answer by ankor@dixie-net.com(15649) |
Question 118365: A fountain in the town square sprays water in a parabolic arc. The water spray starts at 1/2 metre above the ground and reaches a maximum height of 5 metres after 3 seconds. Determine the quadratic function that models the path followed by the water in the fountain and use it to determime the height of the water at 1&3/4 seconds . Round your answer to the nearest tenth of a metre .
Click here to see answer by bucky(2189) |
Question 118391: Fab Jeans presently sells ladies' jeans at an average price of $50 a pair,with sales averaging 300 pairs daily. From an analysis of the market, it is estimated that with every $1.50 decrease in the cost of a pair of jeans, daily sales will increase by 25 pairs.
What price should Fab Jeans change to maximize their daily revenue ? What is the maximum revenue ?
If it costs Fab Jeans $12 to make each pair of ladies jeans, what price should the company charge in order to make the greatest profit ?
Click here to see answer by stanbon(57307) |
Question 118401: Please assist me with this question. Iam taking beginning algebra online and the book does not give a example of hoe to answer word problems.
If an object is given an initial velocity of v0 feet per second from a height of S0 feet, then its height S after t seconds is given by the formula . A rock is thrown into the air at 26 feet per second from a height of 13 feet. How long does it take to reach the earth?
Click here to see answer by stanbon(57307) |
Question 118400: Please help me solve this problem. I have no idea how to arrange word problems .
The length of a rectangle is 3 cm more than 2 times its width. If the area of the rectangle is 93 cm2, find the dimensions of the rectangle to the nearest thousandth. Place your answers in the blanks provided.
Width = __________cm, Length = _________cm.
Click here to see answer by stanbon(57307) |
Question 118400: Please help me solve this problem. I have no idea how to arrange word problems .
The length of a rectangle is 3 cm more than 2 times its width. If the area of the rectangle is 93 cm2, find the dimensions of the rectangle to the nearest thousandth. Place your answers in the blanks provided.
Width = __________cm, Length = _________cm.
Click here to see answer by MathLover1(6627)  |
Question 118442: Algebraically determine the exact roots of each equation.
a) sqrt7x-2/sqrt2x = sqrt2x/sqrt7x+2
I got 7x^2-4=2x
7x^2-4-2x^2=0
5x^2-4=0
x=sqrt4/5 My teacher marked it wrong .
b)4/x+1 - x+3/x-2 = -5
I got x= -5+or- 311i/8 Also marked wrong.
Click here to see answer by stanbon(57307) |
Question 118446: It takes a local train 30 minutes longer than the express to travel 216km.The local averages 6km/h less than the express.What is a possible equation which could be used to determine the speed of each train?
I said 216/x-6 - 216/x = 30 but I was marked wrong :(
Click here to see answer by ankor@dixie-net.com(15649) |
Question 118450: Hello, I need some help on finding the value of c that makes each trinomial a perfect square. The problem is;
[n^2+14n+c]
I have tried the formula: [(a+b)^2=a^2+2ab+b^2]
But I seem to be getting stuck trying to find the value of [b]
May someone show me how to work out the problem?
Thank you :]
Click here to see answer by jim_thompson5910(28579) |
Question 117153: I have to simplify each expression. # 11 is: (2+3i)(8-5i).
And # 14 is: Physics
For a model rocket, the altitude h, in meters, as a function of time t, in seconds, is given by h=68t-8t(squared). Find the maximum height of the rocket. How long does it take to reach the maximum height?
Click here to see answer by wgunther(43) |
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