Tutors Answer Your Questions about Quadratic Equations (FREE)
Question 12588: I'm supposed to find a family of quadratic equations passing through the points (1,0) and (-1,-2), using the general form y=Ax^2+Bx+C. So far, here's what I got:
1) Plugged in both points to the general form, giving me 2 distinct equations:
0=A+B+C
0=A-B+C+2
2) Made them equal to each other, giving me B=1
3) Subbed B=1 into either equation to get A=-C-1 and C=-A-1
Now this is the point where I get stuck, since if I use both B=1 and A=-C-1 to get the final two variables, I end up with nothing. Please help, and thanks so much!
-Bing
Click here to see answer by rapaljer(4671)   |
Question 12730: please help me. solve the following.
2m - 5
------- = 3
9
First thing you do is multiply both sides by 9.
(2m-5)(9)/9 = 3(9)
The nines should cancel
2m - 5 = 3 x 9
We know that 3 x 9 = 27
2m -5 = 27
Then add 5 to both sides
2m - 5 + 5 = 27 + 5
The 5's cancel each other
2m = 32
divide both sides by 2
2m/2 = 32/2
m = 16
Click here to see answer by rahman(247) |
Question 12730: please help me. solve the following.
2m - 5
------- = 3
9
First thing you do is multiply both sides by 9.
(2m-5)(9)/9 = 3(9)
The nines should cancel
2m - 5 = 3 x 9
We know that 3 x 9 = 27
2m -5 = 27
Then add 5 to both sides
2m - 5 + 5 = 27 + 5
The 5's cancel each other
2m = 32
divide both sides by 2
2m/2 = 32/2
m = 16
Click here to see answer by drpotillor(1) |
Question 12949: urgent!!!!solve this problem............
by application(algebra for 2nd year)
1.the product of two consecutive integers is 240.Find the two integers.
2.find the length and width of a rectangle whose area and perimeter are 51 sq.m. and 40 m.,respectively.
I need it right now plsasssss!!!!!!!!!!!!!!!
clear the steps in solving it............
Click here to see answer by askmemath(368) |
Question 14211: i'm in pre-calculus and our teacher gave us an extra credit problem. It reads:
Derive the quadratic formula. (Hint: Solve the general quadratic equation ax^2+bx+c=0 but a cannot = 0)
How do i go about solving this? I need it for tomorrow. 10/7/05
thanks!!
Click here to see answer by Earlsdon(6294) |
Question 14442: In school i lerned how to slove the quadratic equations by spliting it into seperate fractions . I never learned to slove the way they slove it on www.algebra.com . My question is there a section in this site to pratice questions my way or can you teach me to learn the way they slove it on this site
thank you,
Click here to see answer by Earlsdon(6294) |
Question 14811: A man has a goat, a wolf, and a head of cabbage. He comes to a river and must bring these three things across to the other side. The boat can only take the man plus either the goat, wolf, or cabbage. There is another problem. If the cabbage is left with the goat, the goat will eat the cabbage. If the wolf is left with the goat, the goat will be devoured. How can he transport the wolf, goat, and cabbage to the other side? Your answer should be a series of steps.
Click here to see answer by Alwayscheerful(414) |
Question 15188: When solving a rational equation, why it is OK to remove the denominator by multiplying both sides by the LCD and why can you not do the same operation when simplifying a rational expression or adding rational expressions?
The only answere that I have come up with so far is the one is an expression and one is an equation. With the equation we are solving for a variable, and with an expression we are simplyfying and then doing what is required ie, add, subtract, multiple or divide. Is there more to this question that I am missing?
Click here to see answer by rapaljer(4671) |
Question 14834: i have a worded problem that i cannot do. it goes like this:
A triangles base is x cm and the height is 3cm shorter than the base if the area is 20 what is the value of x.
I have worked out the answer but i dont know how to get to it.
please help me
Click here to see answer by rapaljer(4671) |
Question 15508: The second of three numbers is 8 more than the first, and the third number is 3 less than 3 times the first. If the third number is 15 more than the second, find the three numbers.
Click here to see answer by smik(40) |
Question 15510: The time a basketball player spends in the air when shooting a basket is called "the hang time." The vertical leap L measured in feet is related to the hang time "t" measured in sefconds by the equation L=4t^2. A typical athlete has a vertical leap of 1 1/2 to 2 feet; the best male jumpers attain heights of 3 1/2 to 4 feet. What is the hang time of an athlete who has a vertical leap of 2.8 feet?
Click here to see answer by smik(40) |
Question 15511: Each employee has a seperate telephone line. The company is studying the possible number of telephone calls that can be made from people in the office to other people in the office. They have discovered that the total number of possible telephone calls T is described by the equation T = 0.5(x^2-x), where x is the number of people in the office. If 45 people are presently employed at the office, how many possible telephone calls can be made between these 45 people?
Click here to see answer by pwac(253) |
Question 15590: How do you find the quadratic equation of a parabola with a vertex of (8, 102), a y-intercept of (0, 98.6) and a zero of (16,0)? I have tried to solve the equation -(b/2a) =8, but that hasn't worked out well. I've also tried to solve for a or b since I know that c is equal to 98.6, but so far I cannot get the right equation. All I have is that 64a + 8b + 98.6 = 102 and 256a + 16b + 98.6 = 0. I know a is a negative number, but that is the only other information I have.
Click here to see answer by khwang(438) |
Question 16324: I was just wondering if someone could tell me if I did this correctly or not and if not how to do it correctly. Thank you.
Solve for x without using decimals:
(2x + 3)^2 - (x - 2)^2 = 3
(2x+3)(2x+3) – (x-2)(x-2) = 3
4x^2 + 6x + 6x + 9 – x^2 – 2x – 2x + 4 = 3
4x^2 + 12x + 9 – x^2 – 4x + 4 = 3
4x^2 + 8x + 13 – x^2 = 3
3x^2 + 8x + 13 = 3
3x^2 + 8x + 10 = 0
A = 3
B = 8
C = 10
8^2 – 4*3*10 = -56
No real solution.
Click here to see answer by Earlsdon(6294) |
Question 16402: I am a 44 year old who is studying for my year 10 and I need help with factorise and simplify. I have read all the books I could find on the subject but they just confuse me more.
How would I for e.g factorise and simplify
5b+15
______
7b+21
I need all the help I can get.
thank you.
Click here to see answer by elima(1433) |
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