See tutors' answers!

Algebra ->  Tutoring on algebra.com -> See tutors' answers!      Log On


   
By Tutor
 | By Problem Number | 

Tutor:
New! Get regular updates about newly solved problems via algebra.com's RSS system.

Recent problems solved by 'smartdude17'

smartdude17 answered: 27 problems
Quadratic_Equations/4115: Find the vertex and intercepts for each quadratic function. Does it open up or down? y = -3x^2 + 6x

1 solutions

Answer 1817 by smartdude17(30) About Me  on 2005-06-26 18:42:24 (Show Source):
You can put this solution on YOUR website!
Your problem is easy, even a 7th grader can do it. The intercepts are 2 and 0. You get it by doing the QF. You find the vertex by also using the QF. To find a vertex use : -b/2a. In this case the answer is 1. So, your parabola, or parabolic curve, is turned downward.


percentage/3948: What is 10% of $35.00 and What is 10% of $30.00? Also what is 10% of $15.00?
1 solutions

Answer 1733 by smartdude17(30) About Me  on 2005-06-21 16:56:48 (Show Source):
You can put this solution on YOUR website!
This one is easy! My teacher told me a little saying. When multiplying by a 10, move the decimal one place to the left. But this only works on tens. Answer is: 3.5 , 3.0 , and 1.5


Circles/3929: What is the radius of a circle with a diameter of 8 inches?
1 solutions

Answer 1732 by smartdude17(30) About Me  on 2005-06-21 16:47:16 (Show Source):
You can put this solution on YOUR website!
Usually the diameter is across the circle-meaning the radius is 1/2 of the diameter,therefore it equals 4.


Miscellaneous_Word_Problems/3938: The product of the first twelve positive integers is divisible by all of the following EXCEPT
(A) 210
(B) 88
(C) 75
(D) 60
(E) 34

1 solutions

Answer 1731 by smartdude17(30) About Me  on 2005-06-21 16:38:55 (Show Source):
You can put this solution on YOUR website!
The answer to this is: 34.


Quadratic_Equations/3944: Find the y-intercepts and any x-intercepts.
y=2x^2+6x-20
1 solutions

Answer 1730 by smartdude17(30) About Me  on 2005-06-21 16:23:22 (Show Source):
You can put this solution on YOUR website!
After you do all the busy work, it comes to this:
x=-5,2 and
y=0


Quadratic_Equations/3733: find the possible value or values of y in the quadratic equation 4-4y-y%5E2=0
1 solutions

Answer 1729 by smartdude17(30) About Me  on 2005-06-21 12:16:33 (Show Source):
You can put this solution on YOUR website!
The answer is a rational: y=+%284%2B-+4sqrt%282%29%29%2F-2
This is what i have got. good luck.


Linear-equations/3922: Please solve:
2x^2+3-1=0 by using quadratic formula
1 solutions

Answer 1728 by smartdude17(30) About Me  on 2005-06-21 11:43:44 (Show Source):
You can put this solution on YOUR website!
2x%5E2%2B3-1=0
2x%5E2%2B2=0
x%5E2=-1
Look, if you do the quadratic formula, you'll end up with having to take a square root of a negative number. That's undefined (no solutions) unless you are studying complex (imaginary) numbers.


Quadratic_Equations/1931: y=-3x^2+2x+7
I am still a little lost on this type of problem.
1 solutions

Answer 803 by smartdude17(30) About Me  on 2005-05-12 16:16:57 (Show Source):
You can put this solution on YOUR website!
I am going to show you step by step:
y=-3x^2+2x+7
x=%283%2B-sqrt%2893%29%29%2F%28-6%29 After you do all the substitutions.
x=%283%2B-183%2F19%29%29%2F%28-6%29 Since this technology doesn't let me do the work
without showing ERROR. I am going to show you
the answers.
x= -40/19 (-2 2/19), 21/19 (1 2/19)


Polynomials-and-rational-expressions/1922: z(5z-1)=3z(z+3)
"solve by suitable methods"....whatever that means. :)
1 solutions

Answer 739 by smartdude17(30) About Me  on 2005-05-11 17:50:49 (Show Source):
You can put this solution on YOUR website!
z(5z-1)=3z(z+3) Well, first you need to clear parenthesis.
5z^2-z=3z^2+9z Invert to = the formula.
2z^2=10z Now you invert 10z so it resembles the formula.
2z^2-10z=0 Do QF.
x=%28-b%2B-sqrt%28b%5E2-4%2Aa%2Ac%29%29%2F%282%2Aa%29
x=%2810%2B-sqrt%28100%29%29%2F%284%29
AFTER YOU DO THE WORK (THIS THING KEEPS SAYING I DID IT WRONG!) THE ANSWER =:
z=5,0 Let's Check!
5(25-1)=15(8)
120=120
0(0-1)=0(0+3)
0=0


Inequalities/1920: I am working on solving this inequality and could really use some help.
(x-3)/(x+4)>2
Thanks :)
1 solutions

Answer 737 by smartdude17(30) About Me  on 2005-05-11 17:41:47 (Show Source):
You can put this solution on YOUR website!
(x-3)/(x+4)>2 Multiply everything by CD. Change sign to =.
(x-3)/(x+4)=2](x+4) Simplify.
x-3=2x+8 Finish the equation.
-11=x, -11< x
(-10-3)/(-10+4)>2
-13/-6 > 2
2 1/6 > 2 IT CHECKS.


Quadratic_Equations/1883: x^2-5x=14
1 solutions

Answer 736 by smartdude17(30) About Me  on 2005-05-11 17:36:37 (Show Source):
You can put this solution on YOUR website!
x^2-5x-14=0 Invert 14 into quadratic form. Foil or do formula.
(x+2)(x-7)=0 In this case, it was easy to foil so I did that.
x+2=0 x-7=0
x= -2 & 7
LET'S CHECK.
-2^2-5(-2)=14
4+10=14
14=14
7^2-5(7)=14
49-35=14
14=14


Quadratic_Equations/1697: Solve the inequality, state the solution set using interval notation
1/2x^2 is greater than/or equal to 4-x

1 solutions

Answer 617 by smartdude17(30) About Me  on 2005-05-09 17:56:47 (Show Source):
You can put this solution on YOUR website!
1/2x >/= 4-x
1/2x = 4-x]2
x=4-x
2x=4
x=2
x >/= 2
1/2(4) > 4-4
2>0
This is your answer. I am sorry but I don't understand what you mean by interval notation. Sorry. Hope it helps!


Quadratic_Equations/1723: solve for x
x^2+3x+3=0
1 solutions

Answer 616 by smartdude17(30) About Me  on 2005-05-09 17:50:49 (Show Source):
You can put this solution on YOUR website!
The answer is easy, it is no. See:
x^2+3x+3=0
x=%28-b%2B-sqrt%28b%5E2-4%2Aa%2Ac%29%29%2F%282%2Aa%29
When you substitute all of the numbers it comes to a sqrt of a -3. You cannot get a sqrt of a -3. So the answer is no.


Quadratic_Equations/1791: When using the quadratic formula what if the answer does not equal 0 like this one; -x + 6 = 5x^2
1 solutions

Answer 614 by smartdude17(30) About Me  on 2005-05-09 17:42:08 (Show Source):
You can put this solution on YOUR website!
-x+6=5x^2 Invert to formula
0=5x^2+x-6 Solve regularly
x=%28-b%2B-sqrt%28b%5E2-4%2Aa%2Ac%29%29%2F%282%2Aa%29
x=%28-1%2B-sqrt%281%5E2-4%2A5%2A-6%29%29%2F%282%2A5%29
x=%28-1%2B-11%29%29%2F%2810%29
x= -6/5, x= 1 These are your answers. They should check. Let's see:
0=5(1)^2+1-6
0=0 This checks. Let's try the next one:
0=5(-6/5)^2-6/5-6
0=0/5 This also check because 5 goes into 0, 0 times.
After this work, mabey you did something wrong like mabey you made a sign error.


Linear-equations/1794: solve 3p/2 - 5p/3=1/5
1 solutions

Answer 610 by smartdude17(30) About Me  on 2005-05-09 16:08:47 (Show Source):
You can put this solution on YOUR website!
3p/2-5p/3=1/5](2)(3)(5)
45p-50p=6
-5p=6
-5p/5=6/5
p=-6/5


Quadratic_Equations/1671: I have no clue how to do this. I am working on quadratic functions and their graphs in intermediate algebra. This is one question with three parts:
A. Write the function y=3(x-2)^2+6 in the form of Y=ax^2 +bx+c, and find the
vertex of the parabola using the formula x=-b/2a
B. Repeat part (a) with the functions y=-4((x-5)^2-9 and y=3(x+2)^2-6.
C. What is the vertex for a parabola that is written in the form y=a(x-h)^2+k?
Explain your answer.
1 solutions

Answer 565 by smartdude17(30) About Me  on 2005-05-07 18:00:32 (Show Source):
You can put this solution on YOUR website!
WOW, I've already finished this topic and I'm in seventh grade(lol). Well to find the vertex of a parabola, you use -b/2a. Your equation is this and I'll try to help you solve it from the way you have written it.
y=3(x-2)^2+6
Now you would clear the parenthesis by:
y=3(x^2-4)+6 this turns into this:
y=3x^2-12+6
Now you need to simplify it:
y=3x^2-6
Now you can do the QF (quadratic formula)
x=%280%2B-sqrt%280%2B72%29%29%2F%286%29 Substitution
x=%28%2B-4sqrt%2818%29%29%2F%286%29
And this is your scantron answer. Or you could do method #2.
x=%280%2B-8+8%2F17%29%29%2F%286%29
So this is x=%28%2B-8+8%2F17%29%29%2F%286%29
And now you M.A.D. it by multiplying 17 and 8 then adding 8 which equals 144/17 and then you multiply it with 1/6 which equals 24/17 and -24/17


Numbers_Word_Problems/1674: Two consecutive integers are added together. The square of their sum is 361.
What are the integers?

1 solutions

Answer 564 by smartdude17(30) About Me  on 2005-05-07 17:39:01 (Show Source):
You can put this solution on YOUR website!
The two intergers are 9,10. How? Well If the sum is 361 the you find the root which is 19. Then I picked random #s untill I stumbled onto theses two.


Quadratic_Equations/1694: Why are there usually 2 solutions in a quadratic equation?
1 solutions

Answer 563 by smartdude17(30) About Me  on 2005-05-07 17:33:11 (Show Source):
You can put this solution on YOUR website!
There are usually 2 solutions because in the formula: ax^2+bx+c, the ^2 in ax^2 makes it 2. Do you understand?


Functions/1714: Think of a mathematical function that represents something from your own life. For example, suppose the number of beers you drink depends on the number of football games you watch. If you drink five beers every football game, the function would be Number of Beers (B) = 5 times Number of Football Games(F), or B=5F.
Write a brief paper describing this function that comes from your own life. It could be something about the amount of money you spend, the number of hours you spend on the phone, etc...
1 solutions

Answer 562 by smartdude17(30) About Me  on 2005-05-07 17:27:33 (Show Source):
You can put this solution on YOUR website!
OK, for your information, I do not help the way you need. This really isn't a mathematical problem. It is more like a short story you have to write. Say if I help 10 kids every time there is a basketball game on T.V.. For two weeks I helped because of the games. How many did I help? Well I helped(tutored) 140 kids. So is this what you're looking for?


Linear-equations/1664: Solving the equation
Problem
4Y+7=5Y+13
I know the answer is -6
But I need a breakdown, when I first tried to complete this problem I subtracted 7 from both sides but I was left with 9Y (4Y+5Y), I just need a break down I am doing someting wrong.
Thanks
Helpless in Durham
1 solutions

Answer 560 by smartdude17(30) About Me  on 2005-05-07 17:00:41 (Show Source):
You can put this solution on YOUR website!
Oky-doke. Step-by-step:
4y+7=5y+13 Given
Invert the 5y.
-y+7=13
Invert the 7.
-y=20
Now divide the minus.
-y/- = 20/-
Your answer: y=-20


Quadratic_Equations/1711: Quadratic_Equations/1699: Using the quadratic formula for x in the equation 2x^2=11x-9 results in which of the following values:
A. -9/2 or 1
B. 9/2 or -1
C. 9/2 or 1
D. -9/2 or -1
Thanks for any help you can give me on this question!!
1 solutions
Answer 553 by smartdude17(3) on 2005-05-07 13:43:30:
When you do all the work, it comes to the answer C. 9/2 and 1. That means you got it right!!!!!!!!!!
Can someone show me how you derive the answer to this question. I need to know how to figure this out as well. (Guess I should have said that...lol)
1 solutions

Answer 559 by smartdude17(30) About Me  on 2005-05-07 16:54:34 (Show Source):
You can put this solution on YOUR website!
Sure, I'll show you. It's the same person who answered it last time.
2x^2=11x-9 Given
2x^2-11x+9=0 Invert,lety=0
formula QF
x=%2811%2B-sqrt%28121-72%29%29%2F%282%2A2%29 Sub
x=%2811%2B-sqrt%2849%29%29%2F%284%29 S
x=%2811%2B-7%29%2F%284%29 S
And after you do the adding and subtracting, it will leave you with this:
9/2 and 1


Numbers_Word_Problems/1717: If 3 is subtrcted from four times a number, the result is 10 less than five times the number. Find the number.
1 solutions

Answer 558 by smartdude17(30) About Me  on 2005-05-07 16:42:16 (Show Source):
You can put this solution on YOUR website!
This is a word problem and you have to translate it like this:
3-4n=10-5n T
n=7 I,S
3-4(7)=10-5(7) Sub
-25=-25


Inequalities/1658: how do you solve this quadratic equation.y >/= x^2-3x+1
1 solutions

Answer 557 by smartdude17(30) About Me  on 2005-05-07 16:36:56 (Show Source):
You can put this solution on YOUR website!
Very simple. I will show you:
y >/= x^2-3x+1 G
0=x^2-3x+1 lety=0,let sign be=
x=%28-b%2B-sqrt%28b%5E2-4%2Aa%2Ac%29%29%2F%282%2Aa%29 QF
x=%283%2B-sqrt%285%29%29%2F%282%29 Sub,S
And this is your answer. It is in the radical form. There is no sqrt of five besides 2.24. And besides, this is the scantron answer. Good Luck in all of your other problems!


Linear-equations/1665: I'm having trouble with solving systems. I did this before, at the beginning of the year, but I completely forget how to do it. Here's the system:
y=7x-9
y=4x+6
1 solutions

Answer 556 by smartdude17(30) About Me  on 2005-05-07 16:13:59 (Show Source):
You can put this solution on YOUR website!
Well for a system you start like this:
0=7x-9 G,lety=0
0=4x+6
4x+6=7x-9 Merge by Sub
15/3=3x/3 S
5=x Solution
4(5)+6=7(5)-9 Sub
26=26


Quadratic_Equations/1695: -10x^2+11x+24=20
1 solutions

Answer 555 by smartdude17(30) About Me  on 2005-05-07 14:26:37 (Show Source):
You can put this solution on YOUR website!
In order to solve this, you have to start with the first step. I'll show you:
-10x^2+11x+24= 20 G
-10x^2+11x+44= 0 I,S
x=%28-b%2B-sqrt%28b%5E2-4%2Aa%2Ac%29%29%2F%282%2Aa%29 QF
x=%28-11%2B-sqrt%28121%2B1760%29%29%2F%28-20%29 Sub,S
x=%28-11%2B-sqrt%281881%29%29%2F%28-20%29 S
Now do some thinking. Is 1881 a perfect? If it isn't, you do this:
x=%28-11%2B-43+32%2F87%29%29%2F%28-20%29 S
x=%28-53+32%2F87%29%29%2F%28-20%29 S, (answer #1)
x=32+32%2F87%29%29%2F%28-20%29 S, (answer #2)
In the two answers, M.A.D. them. It means to multiply, add, and divide. Or you could do it this way which leaves it at a radical:
x=-11%2B-sqrt%281881%29%29%2F%28-20%29
Now think! What times what is 1881? Well 9*209=1881, so 9 is a perfect leaving 209 in the sqrt.
x=-11%2B-9sqrt%28209%29%29%2F%28-20%29
And that is your radical answer.


Inequalities/1698: Solve the inequality, state the solution set using interval notation
1/2x^2 is greater than/or equal to 4-x

1 solutions

Answer 554 by smartdude17(30) About Me  on 2005-05-07 13:55:39 (Show Source):
You can put this solution on YOUR website!
I don't know what you mean by interval notation, but this is what I got:
1/2x^2 >/= 4-x G
1/2x^2 >/= 4-x]2 I(CD)
x^2 >/= 8-2x S
x^2+2x-8= 0 I,change to =
(x+4)(x-2)= 0 FoiL (you can also do the QF)
x+4=0, x-2=0 Set all terms to zero
x=-4, x=2 Isolate,S
And here are your answers. If you have to graph it, use -b/2a.


Quadratic_Equations/1320: y=-5xsquared

1 solutions

Answer 481 by smartdude17(30) About Me  on 2005-05-01 19:27:35 (Show Source):
You can put this solution on YOUR website!
y=-5x^2 is easy!
You need to set "y" to zero (0)and you also need to know that you're adding zeros(0) to it:
0=-5x^2+0+0
Now you do the quadratic formula:
x=%28-b%2B-sqrt%28b%5E2-4%2Aa%2Ac%29%29%2F%282%2Aa%29
Then substitue by pluging in numbers with the letters(ax^2+bx+c)
And simplify:
x=-0%2B-sqrt%280%29%29%2F%28-10%29
And this is your answer. Some answers are usually radicals.