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Functions/556736: Find the domain of the function f(x) = 3x-1
1 solutions

Answer 362227 by jim_thompson5910(28593) About Me  on 2012-01-12 23:01:22 (Show Source):
You can put this solution on YOUR website!
The domain of ANY polynomial is the set of all real numbers.


So the domain of f(x) = 3x-1, which is a polynomial, is the set of all real numbers.


Expressions-with-variables/556655: Please show me how to solve this problem: 2x+1=5

Thanks.
1 solutions

Answer 362211 by jim_thompson5910(28593) About Me  on 2012-01-12 21:33:00 (Show Source):
You can put this solution on YOUR website!
2x%2B1=5 Start with the given equation.


2x=5-1 Subtract 1 from both sides.


2x=4 Combine like terms on the right side.


x=%284%29%2F%282%29 Divide both sides by 2 to isolate x.


x=2 Reduce.


----------------------------------------------------------------------

Answer:

So the solution is x=2

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test/556495: What is the formula for 4=29-5y
1 solutions

Answer 362177 by jim_thompson5910(28593) About Me  on 2012-01-12 17:43:16 (Show Source):
You can put this solution on YOUR website!
4=29-5y


4 - 29 = 29-5y - 29


-25 = -5y


-25/(-5) = -5y/(-5)


5 = y


y = 5

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Jim



Equations/556479: j-(-19)=-79
1 solutions

Answer 362175 by jim_thompson5910(28593) About Me  on 2012-01-12 17:22:30 (Show Source):
You can put this solution on YOUR website!
j-(-19)=-79


j+19=-79


j = -79 - 19


j = -98

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Jim



Quadratic_Equations/556472: Determain the nature of the solutions.
x^2+18=0
A. 1 real solution
B. 2 imaginary solutions
C. 2 real solutions
I got B. Am I right?
1 solutions

Answer 362173 by jim_thompson5910(28593) About Me  on 2012-01-12 17:13:59 (Show Source):
You can put this solution on YOUR website!
You are correct. Good job.


Quadratic_Equations/556467: Please Help! Find the vertex, line of symmetry, the maximum/minimum value of the quadratic function.
f(x)= -2x^2+2x+10
I got x= 1/2
y= 21/2
the line of symmetry is x= 1/2
the maximum/minimum of f(x)is 21/2
the value. f(1/2)=(21/2)is the maximum
Did I do this right?
1 solutions

Answer 362171 by jim_thompson5910(28593) About Me  on 2012-01-12 17:10:11 (Show Source):
You can put this solution on YOUR website!
You did everything correctly. Congratulations.


Numeric_Fractions/556453: wat is 3x=x
1 solutions

Answer 362169 by jim_thompson5910(28593) About Me  on 2012-01-12 17:04:11 (Show Source):
You can put this solution on YOUR website!
3x=x

3x-x = 0

2x = 0

x = 0/2

x = 0


Travel_Word_Problems/556456: if you have drove 75 miles and hour for 3 hours how far have you driven?
1 solutions

Answer 362168 by jim_thompson5910(28593) About Me  on 2012-01-12 17:03:21 (Show Source):
You can put this solution on YOUR website!
d = rt

d = 75*3

d = 225


So you've driven 225 miles

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Jim



Equations/556424: 6h - 2(h + 6) = 10h
1 solutions

Answer 362164 by jim_thompson5910(28593) About Me  on 2012-01-12 16:20:59 (Show Source):
You can put this solution on YOUR website!
6h-2%28h%2B6%29=10h Start with the given equation.


6h-2h-12=10h Distribute.


4h-12=10h Combine like terms on the left side.


4h=10h%2B12 Add 12 to both sides.


4h-10h=12 Subtract 10h from both sides.


-6h=12 Combine like terms on the left side.


h=%2812%29%2F%28-6%29 Divide both sides by -6 to isolate h.


h=-2 Reduce.


----------------------------------------------------------------------

Answer:

So the solution is h=-2

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Jim



Angles/556421: find the measure of the supplement and the complement of an angle with the given measure 10^0

1 solutions

Answer 362163 by jim_thompson5910(28593) About Me  on 2012-01-12 16:20:08 (Show Source):
You can put this solution on YOUR website!
Supplement: 180 - 10 = 170

Complement: 90 - 10 = 80


Linear-systems/556418: 5x + 3y = 23
2x + 4y = 12
Please help me figure out what the x and y are. my teacher wants me to present my answer to the class tomorrow and how i did it.
Thanks in advance.
1 solutions

Answer 362160 by jim_thompson5910(28593) About Me  on 2012-01-12 16:12:15 (Show Source):
You can put this solution on YOUR website!

Start with the given system of equations:
system%285x%2B3y=23%2C2x%2B4y=12%29


4%285x%2B3y%29=4%2823%29 Multiply the both sides of the first equation by 4.


20x%2B12y=92 Distribute and multiply.


-3%282x%2B4y%29=-3%2812%29 Multiply the both sides of the second equation by -3.


-6x-12y=-36 Distribute and multiply.


So we have the new system of equations:
system%2820x%2B12y=92%2C-6x-12y=-36%29


Now add the equations together. You can do this by simply adding the two left sides and the two right sides separately like this:


%2820x%2B12y%29%2B%28-6x-12y%29=%2892%29%2B%28-36%29


%2820x%2B-6x%29%2B%2812y%2B-12y%29=92%2B-36 Group like terms.


14x%2B0y=56 Combine like terms.


14x=56 Simplify.


x=%2856%29%2F%2814%29 Divide both sides by 14 to isolate x.


x=4 Reduce.


------------------------------------------------------------------


20x%2B12y=92 Now go back to the first equation.


20%284%29%2B12y=92 Plug in x=4.


80%2B12y=92 Multiply.


12y=92-80 Subtract 80 from both sides.


12y=12 Combine like terms on the right side.


y=%2812%29%2F%2812%29 Divide both sides by 12 to isolate y.


y=1 Reduce.


So the solutions are x=4 and y=1.


Which form the ordered pair .


This means that the system is consistent and independent.


Notice when we graph the equations, we see that they intersect at . So this visually verifies our answer.


Graph of 5x%2B3y=23 (red) and 2x%2B4y=12 (green)

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Equations/556398: 4(x+3)= 16
1 solutions

Answer 362158 by jim_thompson5910(28593) About Me  on 2012-01-12 15:55:35 (Show Source):
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4%28x%2B3%29=16 Start with the given equation.


4x%2B12=16 Distribute.


4x=16-12 Subtract 12 from both sides.


4x=4 Combine like terms on the right side.


x=%284%29%2F%284%29 Divide both sides by 4 to isolate x.


x=1 Reduce.


----------------------------------------------------------------------

Answer:

So the solution is x=1

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Average/556394: Evaluate the expression by hand.
100 - 2 ∙ 33

1 solutions

Answer 362157 by jim_thompson5910(28593) About Me  on 2012-01-12 15:54:16 (Show Source):
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100 - 2*33

100 - 66

34



So 100 - 2*33 = 34

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Linear-equations/556385: with a slope of -3 and a y-intercept of 1
1 solutions

Answer 362156 by jim_thompson5910(28593) About Me  on 2012-01-12 15:37:50 (Show Source):
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y = mx + b

y = -3x + 1


test/556389:
1 solutions

Answer 362155 by jim_thompson5910(28593) About Me  on 2012-01-12 15:37:25 (Show Source):
You can put this solution on YOUR website!
missing problem.


Linear-equations/556369: Write an equation
with a slope of -3 and a y-intercept of 3

1 solutions

Answer 362149 by jim_thompson5910(28593) About Me  on 2012-01-12 15:15:25 (Show Source):
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y = mx+b

y = -3x+3


*** Note: m is the slope and b is the y-intercept ***


Quadratic_Equations/556361: Help please! Find and label the vertex and line of symmetry. graph the function.
f(x)= -1/5x^2
I got (0,0) and the line of symmetry is 0. Am I right?
1 solutions

Answer 362148 by jim_thompson5910(28593) About Me  on 2012-01-12 15:09:47 (Show Source):
You can put this solution on YOUR website!
The line of symmetry is x = 0. So you're very close. Everything else is perfect. Congrats.


Equations/556362: 6/8=a/2
1 solutions

Answer 362147 by jim_thompson5910(28593) About Me  on 2012-01-12 15:08:42 (Show Source):
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6/8=a/2


6*2=8a


12 = 8a


12/8 = a


3/2 = a


a = 3/2

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Graphs/556339: Graph the equation 5x+2y=10. Solve for y. Thanks ya'll.
1 solutions

Answer 362145 by jim_thompson5910(28593) About Me  on 2012-01-12 15:06:40 (Show Source):
You can put this solution on YOUR website!
5x%2B2y=10 Start with the given equation.


2y=10-5x Subtract 5x from both sides.


2y=-5x%2B10 Rearrange the terms.


y=%28-5x%2B10%29%2F%282%29 Divide both sides by 2 to isolate y.


y=%28%28-5%29%2F%282%29%29x%2B%2810%29%2F%282%29 Break up the fraction.


y=-%285%2F2%29x%2B5 Reduce.


Looking at y=-%285%2F2%29x%2B5 we can see that the equation is in slope-intercept form y=mx%2Bb where the slope is m=-5%2F2 and the y-intercept is b=5


Since b=5 this tells us that the y-intercept is .Remember the y-intercept is the point where the graph intersects with the y-axis

So we have one point




Now since the slope is comprised of the "rise" over the "run" this means
slope=rise%2Frun

Also, because the slope is -5%2F2, this means:

rise%2Frun=-5%2F2


which shows us that the rise is -5 and the run is 2. This means that to go from point to point, we can go down 5 and over 2



So starting at , go down 5 units


and to the right 2 units to get to the next point



Now draw a line through these points to graph y=-%285%2F2%29x%2B5

So this is the graph of y=-%285%2F2%29x%2B5 through the points and

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Number-Line/556351: How do I show 2/5 on a number line
1 solutions

Answer 362144 by jim_thompson5910(28593) About Me  on 2012-01-12 15:05:13 (Show Source):
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2/5 = 0.4 so divide the interval from 0 to 1 into ten pieces and place the point on the fourth tick mark


test/556267:
1 solutions

Answer 362143 by jim_thompson5910(28593) About Me  on 2012-01-12 15:04:17 (Show Source):
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problem is missing, please repost


test/556348:
1 solutions

Answer 362142 by jim_thompson5910(28593) About Me  on 2012-01-12 15:03:58 (Show Source):
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problem missing


Rectangles/556357: What is the perimeter of a 5 inch by 7 inch rectangle?
1 solutions

Answer 362141 by jim_thompson5910(28593) About Me  on 2012-01-12 15:03:29 (Show Source):
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P = 2L+2W

P = 2*7+2*5

P = 14+10

P = 24


So the perimeter is 24 inches

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real-numbers/556353: What is 5/9? Real number, Irrational number.
1 solutions

Answer 362136 by jim_thompson5910(28593) About Me  on 2012-01-12 14:50:15 (Show Source):
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5/9 is real and it's rational, so it's NOT irrational.


test/556354: True or false is 6:2 the same as 3:1
1 solutions

Answer 362135 by jim_thompson5910(28593) About Me  on 2012-01-12 14:49:16 (Show Source):
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This is true. Simply divide each component by 2 to go from 6:2 to 3:1


expressions/555078: x - 3 (x-2) = 7x - (2x + 5) solve for x (I don't understand how to get to the solution although my maths teacher has explained it many times I don't understand the way he explained it)
1 solutions

Answer 362126 by jim_thompson5910(28593) About Me  on 2012-01-12 13:27:24 (Show Source):
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x-3%28x-2%29=7x-1%282x%2B5%29 Start with the given equation.


x-3x%2B6=7x-2x-5 Distribute.


-2x%2B6=7x-2x-5 Combine like terms on the left side.


-2x%2B6=5x-5 Combine like terms on the right side.


-2x=5x-5-6 Subtract 6 from both sides.


-2x-5x=-5-6 Subtract 5x from both sides.


-7x=-5-6 Combine like terms on the left side.


-7x=-11 Combine like terms on the right side.


x=%28-11%29%2F%28-7%29 Divide both sides by -7 to isolate x.


x=11%2F7 Reduce.


----------------------------------------------------------------------

Answer:

So the solution is x=11%2F7

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Radicals/555508: √216x^3
1 solutions

Answer 362125 by jim_thompson5910(28593) About Me  on 2012-01-12 13:25:51 (Show Source):
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sqrt%28216%2Ax%5E3%29 Start with the given expression.


sqrt%2836%2A6%2Ax%5E3%29 Factor 216 into 36%2A6


sqrt%2836%2A6%2Ax%5E2%2Ax%29 Factor x%5E3 into x%5E2%2Ax


sqrt%2836%29%2Asqrt%286%29%2Asqrt%28x%5E2%29%2Asqrt%28x%29 Break up the square root using the identity sqrt%28A%2AB%29=sqrt%28A%29%2Asqrt%28B%29.


6%2Asqrt%286%29%2Asqrt%28x%5E2%29%2Asqrt%28x%29 Take the square root of 36 to get 6.


6%2Asqrt%286%29%2Ax%2Asqrt%28x%29 Take the square root of x%5E2 to get x.


6x%2Asqrt%286x%29 Rearrange and multiply the terms.

==================================================

Answer:


So sqrt%28216%2Ax%5E3%29 simplifies to 6x%2Asqrt%286x%29


In other words, sqrt%28216%2Ax%5E3%29=6x%2Asqrt%286x%29 where every variable is non-negative.

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Numeric_Fractions/556262: A serving of a certain kind of cereal is 2/3 cup. There are 12 cups of cereal in the box. How many servings of cereal are in the box?
1 solutions

Answer 362124 by jim_thompson5910(28593) About Me  on 2012-01-12 13:23:43 (Show Source):
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There are 12/(2/3) = 12*(3/2) = 36/2 = 18 total servings.


percentage/556325: what is 75 percent of 25

1 solutions

Answer 362123 by jim_thompson5910(28593) About Me  on 2012-01-12 13:17:00 (Show Source):
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75% of 25

0.75*25

18.75


So 75% of 25 is 18.75


Equations/556323:
Solve for y. 3x + 2 = y - x

1 solutions

Answer 362122 by jim_thompson5910(28593) About Me  on 2012-01-12 13:14:11 (Show Source):
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3x + 2 = y - x

3x + 2 + x = y

4x + 2 = y

y = 4x + 2

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Equations/556320: help solve the equation
10-(-y-6)=3(y+4)-7(y+4)
1 solutions

Answer 362121 by jim_thompson5910(28593) About Me  on 2012-01-12 13:10:03 (Show Source):
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10-%28-y-6%29=3%28y%2B4%29-7%28y%2B4%29 Start with the given equation.


10%2By%2B6=3y%2B12-7y-28 Distribute.


y%2B16=3y%2B12-7y-28 Combine like terms on the left side.


y%2B16=-4y-16 Combine like terms on the right side.


y=-4y-16-16 Subtract 16 from both sides.


y%2B4y=-16-16 Add 4y to both sides.


5y=-16-16 Combine like terms on the left side.


5y=-32 Combine like terms on the right side.


y=%28-32%29%2F%285%29 Divide both sides by 5 to isolate y.


----------------------------------------------------------------------

Answer:

So the solution is y=-32%2F5

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