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 Radicals/269077: Evaluate if possible. If the expression is not a real number, so state 16^3/21 solutions Answer 197224 by jim_thompson5910(28595)   on 2010-02-13 01:21:55 (Show Source): You can put this solution on YOUR website!Remember that In this case, this means that So
 Radicals/269083: Simpify. Write the answer in exponential form without negative exponents x^4*x^21 solutions Answer 197223 by jim_thompson5910(28595)   on 2010-02-13 01:19:19 (Show Source): You can put this solution on YOUR website!Recall that which means that So
 Radicals/269084: Simpify. Write the answer in exponential form without negative exponents x^1/2/x^1/31 solutions Answer 197222 by jim_thompson5910(28595)   on 2010-02-13 01:18:09 (Show Source): You can put this solution on YOUR website!Remember that So this means that So where
this is what my homework said
find the intercepts of the equations graph.then graph the equation on the given coordinate grid.
2x+ y=-2
and then it has a x and y graph
Thanks a lot
1 solutions

Answer 197221 by jim_thompson5910(28595)   on 2010-02-13 01:15:36 (Show Source):
You can put this solution on YOUR website!

#### x-intercept

To find the x-intercept, plug in and solve for x

Plug in .

Simplify.

Multiply.

Divide both sides by to isolate .

Reduce.

So the x-intercept is .

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

#### y-intercept

To find the y-intercept, plug in and solve for y

Plug in .

Multiply and 0 to get 0.

Simplify.

So the y-intercept is .

Now let's plot the points and which are the x and y intercepts respectively.

Now draw a straight line through the plotted points to graph .

Graph of

 Complex_Numbers/269096: how do you do i+(11-5i) write the expression as a complex number in standard form. i am not sure but i think you do -i to the -5i so you get (11-6i)? am i correct? or if i am wrong please show me how to please?1 solutions Answer 197220 by jim_thompson5910(28595)   on 2010-02-13 01:14:38 (Show Source): You can put this solution on YOUR website!Think of 'i' as a variable. So which means that
 Volume/268988: What is the volume of 10 in. high, 9 in. long, and 4 in. wide 1 solutions Answer 197132 by jim_thompson5910(28595)   on 2010-02-12 16:39:19 (Show Source): You can put this solution on YOUR website!If it's rectangular prism, then the volume is simply V = 10*9*4 = 90*4 = 360 cubic inches.
 Square-cubic-other-roots/268985: Need some help with these problems: 1. Simplify by taking roots of the numerator and the denominator 3 I dont know if I did it right but the problem is a radical with a degree of 3. thanks 1 solutions Answer 197124 by jim_thompson5910(28595)   on 2010-02-12 16:09:50 (Show Source): You can put this solution on YOUR website! Start with the given expression. Break up the root. Rewrite 729 as Factor to get Break up the root in the numerator. Evaluate the cube roots of , and to get 9, 'x', and 'y'. Multiply So where
 Coordinate-system/268904: Write a slope-intercept equation for a line with the given circumstances. Passes through (-3,7) and (-1,-5)1 solutions Answer 197091 by jim_thompson5910(28595)   on 2010-02-12 15:16:23 (Show Source): You can put this solution on YOUR website! First let's find the slope of the line through the points and Note: is the first point . So this means that and . Also, is the second point . So this means that and . Start with the slope formula. Plug in , , , and Subtract from to get Subtract from to get Reduce So the slope of the line that goes through the points and is Now let's use the point slope formula: Start with the point slope formula Plug in , , and Rewrite as Distribute Multiply Add 7 to both sides. Combine like terms. So the equation that goes through the points and is Notice how the graph of goes through the points and . So this visually verifies our answer. Graph of through the points and
 Graphs/268615: The following needs to be solved by graphing: 4x+y=6 y=-4x-1 I also need to know if the lines have no solution or infinitely many solutions. I got the coordinates (0,6) and (0,-1).When graphed, i got parallel lines so I believe it has no solution. Please check to see if this is correct for me.1 solutions Answer 196854 by jim_thompson5910(28595)   on 2010-02-11 18:08:02 (Show Source): You can put this solution on YOUR website!You are correct. There are no solutions. Good job.
 Linear-equations/268627: y=4x-5 graph this linear equation, i dont understand how to do this1 solutions Answer 196853 by jim_thompson5910(28595)   on 2010-02-11 18:06:54 (Show Source): You can put this solution on YOUR website! Looking at we can see that the equation is in slope-intercept form where the slope is and the y-intercept is Since 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 Also, because the slope is , this means: which shows us that the rise is 4 and the run is 1. This means that to go from point to point, we can go up 4 and over 1 So starting at , go up 4 units and to the right 1 unit to get to the next point Now draw a line through these points to graph So this is the graph of through the points and
 Triangles/268549: the legs of a rihgt triangle are 8 and 6 find the area of the triangle1 solutions Answer 196775 by jim_thompson5910(28595)   on 2010-02-11 14:01:26 (Show Source): You can put this solution on YOUR website!Hint: Remember that the area of a triangle is Area = (base*height)/2
 Polynomials-and-rational-expressions/268497: Solve for W, answer in interval notation: w^2+1/w+7 < or = 1/w+7 I came up with w=0 or (-infinity,-7]1 solutions Answer 196769 by jim_thompson5910(28595)   on 2010-02-11 13:06:38 (Show Source): You can put this solution on YOUR website!You're close, but remember that you CANNOT divide by zero. So which means that . This means that you should have or . Notice the parenthesis after the -7.
 Divisibility_and_Prime_Numbers/268303: Solve using the principle of zero product (y - 7)(4y + 12)(y + 13) = 01 solutions Answer 196665 by jim_thompson5910(28595)   on 2010-02-10 21:00:03 (Show Source): You can put this solution on YOUR website!Hint: Since , this means that , or . Solve each equation for 'y' to get 3 solutions.
 Miscellaneous_Word_Problems/268092: a hockey team receives 2 points for every win and 1 point for every tie. The team won with 52 points. The team won 11 more games than they tied. Wins=___ Ties=___1 solutions Answer 196568 by jim_thompson5910(28595)   on 2010-02-10 13:58:44 (Show Source): You can put this solution on YOUR website!Check out this similar solution. Let me know if you still need help.
 Miscellaneous_Word_Problems/268091: bayside insurance offers two health plans. Under plan A you would pay the first $100 of a bill plus 30% of the remainder. Under plan B you would pay the first$150 of a bill but only 20% of the remainder. For which plan would you save more money? Assume there are over $150 in bills. You would save more with plan B if you had over$_______ in bills.1 solutions Answer 196567 by jim_thompson5910(28595)   on 2010-02-10 13:57:30 (Show Source): You can put this solution on YOUR website!Check out this similar solution (the values are just different) and let me know if this helps at all. If not, then let me know or repost.
 Systems-of-equations/268071: i need help on linear fuctions in algebra 1. can this website help me?1 solutions Answer 196566 by jim_thompson5910(28595)   on 2010-02-10 13:55:37 (Show Source): You can put this solution on YOUR website!Can you be more specific on what you need help with?
 Average/268087: Solve for x, in interval notation: x^2-3/x-3 > or = 1/x-3. I came up with [-2,2]U[3,infinity). The quiz said it should be [-2,2]U(3,infinity). I think the book is wrong. If not, why wouldn't 3 be the = part?1 solutions Answer 196565 by jim_thompson5910(28595)   on 2010-02-10 13:53:06 (Show Source): You can put this solution on YOUR website!Simple reason: you CANNOT divide by zero. If , then the denominator which is a violation of this rule. So that's why 3 was excluded from the solution set.
 Numbers_Word_Problems/268069: Five times a number is the same as 30 more than 8 times the number. Find the number. If n is "the number," which equation could be used to solve for the number? 3n = 301 solutions Answer 196554 by jim_thompson5910(28595)   on 2010-02-10 12:54:52 (Show Source): You can put this solution on YOUR website!Translation:  Five times a number ---> '5n' is the same as ---> '=' 30 more than ---> '30+ 8 times the number ---> '8n'  So altogether, "Five times a number is the same as 30 more than 8 times the number. Find the number" translates to . I'll let you solve for 'n' to find the number.
Linear-equations/268058: solving the linear equation for 5x+4y=5 Y=
1 solutions

Answer 196549 by jim_thompson5910(28595)   on 2010-02-10 12:30:58 (Show Source):
You can put this solution on YOUR website!
 Solved by pluggable solver: Converting Linear Equations in Standard form to Slope-Intercept Form (and vice versa) Start with the given equation Subtract from both sides Multiply both sides by Distribute Multiply Rearrange the terms Reduce any fractions So the equation is now in slope-intercept form () where (the slope) and (the y-intercept)

 Linear-systems/268057: how would I understand the the linear systems of by substutition. I am so confused bout that.The most confusing questions for me are for example:y=x-4 3x+2y=7 1 solutions Answer 196548 by jim_thompson5910(28595)   on 2010-02-10 12:29:17 (Show Source): You can put this solution on YOUR website!Here's the basic idea: Step 1) Pick an equation and a variable to solve for. In this case, we're given which is already solved for 'y' (ie 'y' is isolated on one side). So we don't have to do this step. Step 2) Move onto the other equation and plug in . In other words, replace each 'y' term with 'x-4'. Doing this gets you . From here, we have a simple linear equation. Step 3) Since you have a simple linear equation with one variable, you can easily solve for that variable (if a solution exists). Step 4) Once you have a solution in terms of 'x', plug that value into to find the solution in terms of 'y'.
 Rational-functions/267977: X and Y are integers. Find the domain of the relation and draw it's graph. Is the relation a function? {(x,y): |x|=|y| and |y|≤ 2} Please Please help me.I'm begging. Thank You!1 solutions Answer 196547 by jim_thompson5910(28595)   on 2010-02-10 12:18:29 (Show Source): You can put this solution on YOUR website!Because and , this means that as well. Why? Well say (a value greater than 2), then which would mean that also. But this is a clear violation of the statement . Since , this means that the only allowable "input" are values of that satisfy the inequality since this is basically the conditions imposed on 'x'. Solve this inequality to get So the domain is which in interval notation is Now take and solve for 'y' to get or . These equations are simply lines. Now draw a vertical line through any random point on the circle. Does this line cut through more than one point? Barring one exception, the answer will be 'yes'. Since this is the case, the relation fails the vertical line test which means that this relation is NOT a function.
 Distributive-associative-commutative-properties/268042: It's been 5 years since I've done algebra and looking mostly for a refresher. the product of 3 less than twice x and 2 more than the quantity 3 times x? 1 solutions Answer 196544 by jim_thompson5910(28595)   on 2010-02-10 12:02:41 (Show Source): You can put this solution on YOUR website!"the product of" tells you to multiply. Eg: "The product of 2 and 3" ---> 2*3=6 "3 less than twice x" translates to and "2 more than the quantity 3 times x" becomes Since we want the "product of" these two separate expressions, this means that "the product of 3 less than twice x and 2 more than the quantity 3 times x" completely translates to (ie just multiply the two expressions). That's just the translation, you might have to expand/FOIL it out. I'll let you do that (if you need to). Let me know if you need help with that.
 Equations/268048: what is the expression 7 subtracted from 8n1 solutions Answer 196542 by jim_thompson5910(28595)   on 2010-02-10 11:58:31 (Show Source): You can put this solution on YOUR website!The phrase "7 subtracted from 8n" translates to . Take note how the order of the terms is reversed.
 logarithm/267996: Evaluate the logarithmic equation for three values of x that are greater than 1, three values of x that are between 0 and 1, and at x=1. Show your work. Use the resulting ordered pairs to plot the graph; submit the graph via the Dropbox. State the equation of the line asymptotic to the graph (if any). y=log^4(x)+4 I am lost with this.1 solutions Answer 196540 by jim_thompson5910(28595)   on 2010-02-10 11:56:20 (Show Source): You can put this solution on YOUR website!You'll need a calculator for this problem. When they say "Evaluate the logarithmic equation...", they simply mean plug in some number in for 'x' and use a calculator to find the result. For example, to evaluate the logarithm for x=1, plug in x=1 to get . You would type in "log(1)/log(4)+4" (without quotes) into your calculator. So when , then giving you the point (1,4). Use this idea to find the other points. Once you have enough points, plot them on a grid and draw a curve through them to graph
Equations/268044: Find an equation of the line containing the given par of points
(2,4) and (6,5)

1 solutions

Answer 196538 by jim_thompson5910(28595)   on 2010-02-10 11:51:23 (Show Source):
You can put this solution on YOUR website!
 Solved by pluggable solver: Finding the Equation of a Line First lets find the slope through the points (,) and (,) Start with the slope formula (note: (,) is the first point (,) and (,) is the second point (,)) Plug in ,,, (these are the coordinates of given points) Subtract the terms in the numerator to get . Subtract the terms in the denominator to get So the slope is ------------------------------------------------ Now let's use the point-slope formula to find the equation of the line: ------Point-Slope Formula------ where is the slope, and (,) is one of the given points So lets use the Point-Slope Formula to find the equation of the line Plug in , , and (these values are given) Distribute Multiply and to get . Now reduce to get Add to both sides to isolate y Combine like terms and to get (note: if you need help with combining fractions, check out this solver) ------------------------------------------------------------------------------------------------------------ Answer: So the equation of the line which goes through the points (,) and (,) is: The equation is now in form (which is slope-intercept form) where the slope is and the y-intercept is Notice if we graph the equation and plot the points (,) and (,), we get this: (note: if you need help with graphing, check out this solver) Graph of through the points (,) and (,) Notice how the two points lie on the line. This graphically verifies our answer.

 Linear-equations/268049: 1. Read the examples in the lesson and work them out on paper. Pay particular attention to the steps and the corresponding algebraic properties. 2. Work the following problems in a Word document. Be sure to show each step for solving the equations. Showing the work is required for this assignment. Please work hard to understand each problem and contact your instructor if you are having trouble with the material. Save your work and submit it to the Dropbox “Project 01.08.” 5x + 1 = 21 2x = 5x -12 4 - (2x - 9)= -19 -3(2x + 1) = 2(x - 2) -6x + 3 - 2x = 3 - 8x 1 solutions Answer 196537 by jim_thompson5910(28595)   on 2010-02-10 11:49:28 (Show Source): You can put this solution on YOUR website!We don't mind helping you, but it looks as if you just copied and pasted your entire assignment here. Did you have specific questions about anything?
 Miscellaneous_Word_Problems/267735: I would like to know if you could please help me. Thank you for your time and help. Lottery winnings in a certain state will be distributed over a three day period, with the number of winners each day increasing by 2. If the lottery will distribute 27 prizes, how many will be awarded each day? Our teacher said to fill each of these steps when trying to solve the given problem. 1) Write down what you know 2) What am I trying to find? 3) Make a table with the given/not given information 4) Write an algebraic equation relating the information and solve 5) Make sure your answer makes sense (no negatives)1 solutions Answer 196406 by jim_thompson5910(28595)   on 2010-02-09 18:28:33 (Show Source): You can put this solution on YOUR website!Let x = number of people who win on day 1 So on day 2, there are winners (since "the number of winners each day increasing by 2") and on day 3 there are winners. To recap, on day 1, there are 'x' winners. On day 2, there are winners. Finally, on day 3, there are winners. Over the course of three days, there are winners (just add up the individual winner counts). Simplify to get . So over the course of 3 days, there are winners. But since we know that " the lottery will distribute 27 prizes" over the course of 3 days, this means that . From here, simply solve for 'x'. Once you have 'x', you can find 'x+2' and 'x+4'.
 Conjunction/267283: If p is a true statement and q is a false statement then find the truth value of q^(p^q)1 solutions Answer 196196 by jim_thompson5910(28595)   on 2010-02-08 18:29:31 (Show Source): You can put this solution on YOUR website!Hint: recall that p ^ q is only true if BOTH p AND q are true. Otherwise, p ^ q is false. To get you started, since p is true, but q is false, we know that p ^ q is false (since q is false). I'll let you continue.
Quadratic_Equations/267280: I am having the worst time trying to solve this one. Here is what I have:
25x^2 + 10x + 1
I come up with (5x + 2)(5x )
and then i am lost!
1 solutions

Answer 196195 by jim_thompson5910(28595)   on 2010-02-08 18:28:16 (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: Factoring using the AC method (Factor by Grouping)
In order to factor , first multiply the leading coefficient 25 and the last term 1 to get 25. Now we need to ask ourselves: What two numbers multiply to 25 and add to 10? Lets find out by listing all of the possible factors of 25

Factors:

1,5,25,

-1,-5,-25, List the negative factors as well. This will allow us to find all possible combinations

These factors pair up to multiply to 25.

1*25=25

5*5=25

(-1)*(-25)=25

(-5)*(-5)=25

note: remember two negative numbers multiplied together make a positive number

Now which of these pairs add to 10? Lets make a table of all of the pairs of factors we multiplied and see which two numbers add to 10

||||
 First Number | Second Number | Sum 1 | 25 | 1+25=26 5 | 5 | 5+5=10 -1 | -25 | -1+(-25)=-26 -5 | -5 | -5+(-5)=-10

We can see from the table that 5 and 5 add to 10. So the two numbers that multiply to 25 and add to 10 are: 5 and 5

breaks down to this (just replace with the two numbers that multiply to 25 and add to 10, which are: 5 and 5)

Replace with

Group the first two terms together and the last two terms together like this:

Factor a 5x out of the first group and factor a 1 out of the second group.

Now since we have a common term we can combine the two terms.

Combine like terms.
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