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Quadratic_Equations/342464: Determine the nature of the solutions of the equation.
x^2-14x+49=0
What does the equation have?
One real solution, two non-real solutions, or two real solutions
1 solutions

Answer 245125 by Fombitz(13828) About Me  on 2010-09-13 16:00:50 (Show Source):
You can put this solution on YOUR website!
Use the discriminant.
D=b%5E2-4ac
D=%28-14%29%5E2-4%281%29%2849%29
D=196-196
D=0
There is one real solution (a double root).
.
.
.
graph%28300%2C300%2C-5%2C15%2C-10%2C10%2Cx%5E2-14x%2B49%29


Inequalities/341639: Hello. Can you please help me with this problem?
Write an inequality for which the solution is all real numbers in the form
ax+b > c(x+d) Explain how you know this.
Thank you!
1 solutions

Answer 245123 by Fombitz(13828) About Me  on 2010-09-13 15:58:45 (Show Source):
You can put this solution on YOUR website!
ax%2Bb+%3E+c%28x%2Bd%29
ax%2Bb+%3E+cx%2Bcd
ax-cx%3Ecd-b
x%28a-c%29%3Ecd-b
If %28a-c%29%3E0, then x%3E%28cd-b%29%2F%28a-c%29
If %28a-c%29%3C0, then x%3C%28cd-b%29%2F%28a-c%29
If %28a-c%29=0, and b%3Ecd, then the solution is all x.
If %28a-c%29=0, and b%3Ccd, then there is no solution.


Graphs/341601: graph the equation and identify the y intercept x+3y=9
1 solutions

Answer 245122 by Fombitz(13828) About Me  on 2010-09-13 15:54:26 (Show Source):
You can put this solution on YOUR website!
Set x=0 and solve for y.
0%2B3y=9
y=3
(0,3)
.
.
.
Plot that point.
.
.
.

.
.
.
Convert the equation to slope-intercept form,y=mx%2Bb
x%2B3y=9
3y=-x%2B9
y=-%281%2F3%29x%2B3
Use another x value.
Let x=3,
y=-%281%2F3%29%283%29%2B3
y=-1%2B3
y=2
(3,2)
Plot that point also.
.
.
.

.
.
.
Then connect the two points with a line.
.
.
.
.
.
.

.
.
.


Geometry_Word_Problems/342295: A rectangular solid has a square base. The volume is 360 cubic inches and the height is 10 inches. What is the perimeter of the base?
(a) 24 (b) 36 (c) 40 (d) 60 (e) 100
1 solutions

Answer 245120 by Fombitz(13828) About Me  on 2010-09-13 15:48:38 (Show Source):
You can put this solution on YOUR website!
V=A%2Ah=s%5E2%2Ah
s%5E2%2A10=360
s%5E2=36
s=6
For a square, the perimeter is,
P=4s
P=4%286%29
P=24inches.


test/342455: Your question goes here. Write clearly! We are not mind readers, so be sure to ask a question that we can understand.
1 solutions

Answer 245119 by Fombitz(13828) About Me  on 2010-09-13 15:47:20 (Show Source):


Expressions-with-variables/342453: A=1/2bh, solve for h
1 solutions

Answer 245118 by Fombitz(13828) About Me  on 2010-09-13 15:46:59 (Show Source):


Mixture_Word_Problems/342400: How many gallons of a 3% salt solution must be mixed with 20 gallons of a 9% solution to obtain a 5% solution?
1 solutions

Answer 245117 by Fombitz(13828) About Me  on 2010-09-13 15:46:08 (Show Source):
You can put this solution on YOUR website!

Let A be the amount of 3% solution.
3A%2B9%2820%29=5%28A%2B20%29
3A%2B180=5A%2B100
2A=80
highlight%28A=40%29gallons


Distributive-associative-commutative-properties/342388: 1) 9/2709
2) 7/21021
3) 3/606
4) 9/4500
* Can you please show the work so I know how its done.
1 solutions

Answer 245116 by Fombitz(13828) About Me  on 2010-09-13 15:43:59 (Show Source):
You can put this solution on YOUR website!
I'll show you one.
The others are done exactly the same way.
9%2F2709=9%2F%289%2A301%29=cross%289%29%2F%28cross%289%29%28301%29%29=1%2F301


Geometry_Word_Problems/342452: point j is between h and k on hk. use the given information to write an equation in terms of x. solve the equation. then find hj and jk. hj=2x jk=3x kh=25
1 solutions

Answer 245114 by Fombitz(13828) About Me  on 2010-09-13 15:42:13 (Show Source):
You can put this solution on YOUR website!
hj%2Bjk=hk
Substitute,
2x%2B3x=25
5x=25
x=5
.
.
.
hj=2x=2%285%29=10
jk=3x=3%285%29=15


Numbers_Word_Problems/342356: A piggy bank has 70 coins which has only nickels and dimes. The total value in the bank is $5.55. How many nickels and how many dimes?
1 solutions

Answer 245112 by Fombitz(13828) About Me  on 2010-09-13 15:41:02 (Show Source):
You can put this solution on YOUR website!
Total number of coins,
1.N%2BD=70
Total value of the coins,
5N%2B10D=555
2.N%2B2D=111
Subtract eq. 1 from eq. 2,
N%2B2D-N-D=111-70
highlight%28D=41%29
Then from eq. 1,
N%2B41=70
highlight%28N=29%29
There are 29 nickels and 41 dimes.


Quadratic_Equations/342387: x+4/x+2=7/x+2 + 24/x^2-4
Find all the real solutions
1 solutions

Answer 245111 by Fombitz(13828) About Me  on 2010-09-13 15:38:07 (Show Source):
You can put this solution on YOUR website!
First simpify,
%28x%2B4%29%2F%28x%2B2%29=7%2F%28x%2B2%29+%2B+24%2F%28x%5E2-4%29
%28x%2B4-7%29%2F%28x%2B2%29-24%2F%28x%5E2-4%29=0
%28x-3%29%2F%28x%2B2%29-24%2F%28x%5E2-4%29=0
Use the common denominator, x%5E2-4=%28x-2%29%28x%2B2%29

%28x%5E2-2x-3x%2B6-24%29%2F%28%28x-2%29%28x%2B2%29%29=0
%28x%5E2-5x-18%29%2F%28%28x-2%29%28x%2B2%29%29=0
Find the zeros of the numerator using the quadratic formula,
x+=+%285+%2B-+sqrt%28+%285%29%5E2-4%2A1%2A%28-18%29+%29%29%2F%282%2A1%29+
x+=+%285+%2B-+sqrt%28+25%2B72%29%29%2F2+
highlight%28x+=+%285+%2B-+sqrt%28+79%29%29%2F2%29+


Rectangles/342334: The length of a rectangular piece of land is 60 yards more than two times its width. The perimeter is 540 yards.Find the dimensions?
1 solutions

Answer 245107 by Fombitz(13828) About Me  on 2010-09-13 15:26:45 (Show Source):
You can put this solution on YOUR website!
L=6%2B2W
The perimeter of a rectangle is,
P=2L%2B2W=540
L%2BW=270
Substituting from the first equation,
6%2B2W%2BW=270
6%2B3W=270
3W=264
highlight%28W=88%29 yds.
Then from the first equation,
L=6%2B2%2888%29
L=6%2B176
highlight%28L=182%29 yds.


Linear-systems/342440: which equation represents a straight line 4x^2+9y^2=25, 2xy+6=15y, 3y-2x=7
1 solutions

Answer 245105 by Fombitz(13828) About Me  on 2010-09-13 15:24:27 (Show Source):
You can put this solution on YOUR website!
3y-2x=7 is a linear equation.


Radicals/342424: how do i find the domain of: f(x) = x+[3/(5-x)]
1 solutions

Answer 245097 by Fombitz(13828) About Me  on 2010-09-13 14:59:56 (Show Source):
You can put this solution on YOUR website!
The domain is all x which make f(x) defined.
This function is undefined when you have a division by zero.
This happens when x-5=0
x=5
So the domain is all x except x=5
In interval notation that would be
(-infinity,5)U(5,infinity)


test/342429: The first 4 nth terms of 2n (squared) + 3n
1 solutions

Answer 245096 by Fombitz(13828) About Me  on 2010-09-13 14:57:46 (Show Source):
You can put this solution on YOUR website!
I'll do the first two.
You finish it.
n=1, 2n%5E2%2B3n=2%281%29%5E2%2B3%281%29=2%281%29%2B3=2%2B3=5
n=2, 2n%5E2%2B3n=2%282%29%5E2%2B3%282%29=2%284%29%2B6=8%2B6=14
Do it the same way.


Expressions-with-variables/342401: how do I solve this equation ? 2-3x/5 < x+2,
1 solutions

Answer 245085 by Fombitz(13828) About Me  on 2010-09-13 14:32:38 (Show Source):


Graphs/342321: Determine the coordinates of the x-intercept of 3x – 4y = 24.

1 solutions

Answer 245082 by Fombitz(13828) About Me  on 2010-09-13 14:31:10 (Show Source):
You can put this solution on YOUR website!
Set y=0 and solve for x.
3x-4%280%29=24
3x=24
highlight%28x=8%29
.
.
.
(8,0)


test/342411: Find the ratio of the first two numbers to the second number and simplify: 4.8 to 6.4
1 solutions

Answer 245080 by Fombitz(13828) About Me  on 2010-09-13 14:29:40 (Show Source):


Graphs/342371: How would you graph y = x^2 + 2
1 solutions

Answer 245034 by Fombitz(13828) About Me  on 2010-09-13 11:18:28 (Show Source):
You can put this solution on YOUR website!
Choose a range of x-values.
Calculate the y values.
Plot the x,y pairs and connect them with a smooth curve.
x=-3,y=%28-3%29%5E2%2B2=9%2B2=11
x=-2,y=%28-2%29%5E2%2B2=4%2B2=6
x=-1,y=%28-1%29%5E2%2B2=1%2B2=3
x=0,y=%280%29%5E2%2B2=0%2B2=2
x=1,y=%281%29%5E2%2B2=1%2B2=3
x=2,y=%282%29%5E2%2B2=4%2B2=6
x=3,y=%283%29%5E2%2B2=9%2B2=11
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.
.


Linear_Algebra/342266: the equation 5x^2+14x+1=0 has two solutions A and B where a1 solutions

Answer 245031 by Fombitz(13828) About Me  on 2010-09-13 11:06:07 (Show Source):
You can put this solution on YOUR website!
Have you tried the quadratic formula?
It works for any quadratic equation.
5x%5E2%2B14x%2B1=0
a=5
b=14
c=1
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
x+=+%28-14%2B-+sqrt%28+14%5E2-4%2A5%2A1+%29%29%2F%282%2A5%29+
x+=+%28-14%2B-+sqrt%28+196-20+%29%29%2F%2810%29+
x+=+%28-14%2B-+sqrt%28+176+%29%29%2F%2810%29+
x+=+%28-14%2B-+4%2Asqrt%28+11+%29%29%2F%2810%29+
x+=+%28-7%2B-+2%2Asqrt%28+176+%29%29%2F%285%29+
.
.
.
B+=+%28-7%2B+2%2Asqrt%28+176+%29%29%2F%285%29+
A+=+%28-7-+2%2Asqrt%28+176+%29%29%2F%285%29+
So that A%3CB


Problems-with-consecutive-odd-even-integers/342368: Five consecutive even integers starting with -6
1 solutions

Answer 245029 by Fombitz(13828) About Me  on 2010-09-13 11:02:28 (Show Source):


Systems-of-equations/342265: solve each system of equations 2x-y=12
x+3y=13







1 solutions

Answer 245028 by Fombitz(13828) About Me  on 2010-09-13 11:02:05 (Show Source):
You can put this solution on YOUR website!
2x-y=12
x%2B3y=13+
From eq. 1,
y=2x-12
Substitute into eq. 2,
x%2B3%282x-12%29=13
x%2B6x-36=13
7x=49
highlight%28x=7%29
Then from eq. 1,
y=2%287%29-12
y=14-12
highlight%28y=2%29


Numeric_Fractions/342362: Three-fourths of what number is 10,500?
1 solutions

Answer 245023 by Fombitz(13828) About Me  on 2010-09-13 10:44:47 (Show Source):


Linear_Equations_And_Systems_Word_Problems/342360: please help me solve this: A father is four times as old as his son. In six years time,their combined ages will be 57. How old is the father now?
1 solutions

Answer 245022 by Fombitz(13828) About Me  on 2010-09-13 10:43:27 (Show Source):
You can put this solution on YOUR website!
Let the Father's age be F, the son's S.
In 6 years their ages are F%2B6 and S%2B6.
1.F=4S
.
.
.
%28F%2B6%29%2B%28S%2B6%29=57
F%2BS%2B12=57
2.F%2BS=45
Substitute eq. 1 into eq. 2,
4S%2BS=45
5S=45
highlight%28S=9%29years old
Then from eq. 1,
F=4%289%29
highlight%28F=36%29 years old


Equations/342328: what is the LCD of 2v^6w^9 and 4u^4v^9w^9
1 solutions

Answer 245020 by Fombitz(13828) About Me  on 2010-09-13 10:40:41 (Show Source):


Linear_Equations_And_Systems_Word_Problems/342358: Please help me work this out: The sum of 3 numbers P,T and K is 129. T is more than P and P is less than K. Find the numbers.
1 solutions

Answer 245019 by Fombitz(13828) About Me  on 2010-09-13 10:39:02 (Show Source):
You can put this solution on YOUR website!
P%2BT%2BK=129
T%3EP
P%3CK
You don't have enough information to solve for P,T, and K.


Linear_Equations_And_Systems_Word_Problems/342357: please help me with the follwing question,please can you help me work it out: If i multiply a certain number by 5,i get the same answer as when i subtract the number from 48. What is the number?
1 solutions

Answer 245018 by Fombitz(13828) About Me  on 2010-09-13 10:37:47 (Show Source):
You can put this solution on YOUR website!
Let's call the number N.
Translate the words into expressions with N
"multiply a certain number by 5"
5N
"subtract the number from 48"
48-N
The two values are equal.
5N=48-N
Add N to both sides.
5N%2BN=48-N%2BN
6N=48
Divide both sides by 6
N=48%2F6
highlight%28N=8%29


Word_Problems_With_Coins/342344: A stack of pennies and dimes has a total value of $2.31. How many dimes are in the stack if there are twice as many dimes as pennies?
1 solutions

Answer 245014 by Fombitz(13828) About Me  on 2010-09-13 10:14:16 (Show Source):
You can put this solution on YOUR website!
Let D be the number of dimes, P the number of pennies.
.
.
.
D=2P
.
.
.
10D%2BP=231
10%282P%29%2BP=231
20P%2BP=231
21P=231
highlight%28P=11%29
Then from the first equation,
D=2%2811%29
highlight%28D=22%29


Rectangles/342257: If the area of a rectangle is 810units^2, what are the dimensions of the rectangle?
1 solutions

Answer 245013 by Fombitz(13828) About Me  on 2010-09-13 10:12:05 (Show Source):
You can put this solution on YOUR website!
The dimensions are LxW where L%2AW=810.
You haven't provided enough information and have multiple possible answers.
1x810=810
6x135=810
9x90=810
etc.


Travel_Word_Problems/342235: Kevin drove 320 miles to a mountain resort. His return trip took 20 minutes longer because his speed returning was 4 miles per hour slower than his speed going.
1 solutions

Answer 245012 by Fombitz(13828) About Me  on 2010-09-13 10:09:53 (Show Source):
You can put this solution on YOUR website!
Rate*Time=Distance
.
.
.
R%5B1%5D%2At%5B1%5D=D
R%5B2%5D%2At%5B2%5D=D
.
.
.
R%5B2%5D=R%5B1%5D-4
t%5B2%5D=t%5B1%5D%2B20%2F60=t%5B1%5D%2B1%2F3
.
.
.
OK, so what's the question??


absolute-value/342250: |(x+h)^2-x^2|<3h^2, where h>0
Solve the inequality and
specify the answer in interval notation in terms of h
1 solutions

Answer 245011 by Fombitz(13828) About Me  on 2010-09-13 10:05:43 (Show Source):
You can put this solution on YOUR website!
abs%28%28x%2Bh%29%5E2-x%5E2%29%3C3h%5E2
abs%28x%5E2%2B2xh%2Bh%5E2-x%5E2%29%3C3h%5E2
abs%282xh%2Bh%5E2%29%3C3h%5E2
2xh%2Bh%5E2%3C3h%5E2 and -%282xh%2Bh%5E2%29%3C3h%5E2
2xh%3C2h%5E2 and 2xh%2Bh%5E2%3E-3h%5E2
x%3Ch and 2xh%3E-4h%5E2
x%3Ch and x%3E-2h
-2h%3Cx%3Ch