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 Quadratic-relations-and-conic-sections/254907: i do not understand how to put an equation into a graphing calculator. The problem i am working on asks how you would put this in to graph an ellipse 9x^2+25y^2=225 but i dont know what how to do it on a calculator1 solutions Answer 187200 by jim_thompson5910(28487)   on 2010-01-08 14:15:13 (Show Source): You can put this solution on YOUR website!In order to graph, you need to solve for y Start with the given equation. Subtract from both sides. Divide both sides by 25. Take the square root of both sides (don't forget about the plus/minus) or Break up the plus/minus to form two separate equations. So the two equations that you would enter into your calculator would be and If you enter them in, you should get the graph: Take note that the red graph is and the green graph is which both form the graph of
 Graphs/254910: How to I graph 6x + 5y = 10. 1 solutions Answer 187199 by jim_thompson5910(28487)   on 2010-01-08 14:10:19 (Show Source): You can put this solution on YOUR website!In order to graph , we first must solve for y. Start with the given equation. Subtract from both sides. Rearrange the terms. Divide both sides by to isolate y. Break up the fraction. Reduce. 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 -6 and the run is 5. This means that to go from point to point, we can go down 6 and over 5 So starting at , go down 6 units and to the right 5 units 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
 Linear-systems/254869: 6x-2y=8 -4x+6y=181 solutions Answer 187197 by jim_thompson5910(28487)   on 2010-01-08 14:08:43 (Show Source): You can put this solution on YOUR website! Start with the given system of equations: Multiply the both sides of the first equation by 3. Distribute and multiply. So we have the new system of equations: Now add the equations together. You can do this by simply adding the two left sides and the two right sides separately like this: Group like terms. Combine like terms. Simplify. Divide both sides by to isolate . Reduce. ------------------------------------------------------------------ Now go back to the first equation. Plug in . Multiply. Subtract from both sides. Combine like terms on the right side. Divide both sides by to isolate . Reduce. So the solutions are and . 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 (red) and (green)
 Equations/254899: -6x+2-2(x+1)=6x+61 solutions Answer 187195 by jim_thompson5910(28487)   on 2010-01-08 14:04:55 (Show Source): You can put this solution on YOUR website! Start with the given equation. Distribute. Combine like terms on the left side. Subtract from both sides. Subtract from both sides. Combine like terms on the left side. Combine like terms on the right side. Divide both sides by to isolate . Reduce. ---------------------------------------------------------------------- Answer: So the solution is which approximates to .
 absolute-value/254674: write an equation of the line that passes through each pair of point 0,-4),(5-4)1 solutions Answer 187058 by jim_thompson5910(28487)   on 2010-01-07 20:47:01 (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 Subtract 4 from both sides. Combine like terms. Simplify 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
 Linear-equations/254710: what are the step to solving and graphing y+3=4(x+1)1 solutions Answer 187056 by jim_thompson5910(28487)   on 2010-01-07 20:45:04 (Show Source): You can put this solution on YOUR website! Start with the given equation. Distribute Multiply and to get Subtract 3 from both sides to isolate y Combine like terms and to get Now let's graph 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
 Polynomials-and-rational-expressions/254734: i need help with an (intermediate algerbra: Rational expressions) im not to sure how to solve it i dont what exactlt im being asked for all r is not equal to (+ or - 2. r^2 - 5r+6 ______________=? r^2-4 a. r-3 r+2 b. r-2 r+2 c. r-2 r+3 d. r+3 r-2 e. r+3 r+2 i need to know how to do it to get the correct answer i have a test at ecpi on saturday i can figure out how to work it out to get the answer they want please and thank you1 solutions Answer 187055 by jim_thompson5910(28487)   on 2010-01-07 20:42:47 (Show Source): You can put this solution on YOUR website!The key to this problem is factoring. Start with the given expression. Factor to get (note: if you need help with factoring, check out this solver) Factor to get . Highlight the common terms. Cancel out the common terms. Simplify. So simplifies to . In other words, where or
 Graphs/254738: how do i write an equation of a horizontal line that passes through the point (-4,3)?1 solutions Answer 187053 by jim_thompson5910(28487)   on 2010-01-07 20:41:31 (Show Source): You can put this solution on YOUR website!All horizontal lines are of the form where 'k' is some number. Since we want the line to go through (-4,3) and 3 is the value of the y coordinate, this means that the equation must be
 Linear-systems/254721: Trying to solve by substitution method. 4x + 7y = 36 x = 19 - 3y1 solutions Answer 187052 by jim_thompson5910(28487)   on 2010-01-07 20:40:13 (Show Source): You can put this solution on YOUR website! Start with the first equation. Plug in Distribute. Combine like terms on the left side. Subtract from both sides. Combine like terms on the right side. Divide both sides by to isolate . Reduce. Go back to the second equation Plug in Multiply Subtract So the solutions are and giving us the ordered pair (-5,8)
 Graphs/254636: find the slope of (5,0) (6,-4) 1 solutions Answer 186966 by jim_thompson5910(28487)   on 2010-01-07 18:33:02 (Show Source): You can put this solution on YOUR website!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
Graphs/254638: use the intercepts to graph the equations
x+2y=4
1 solutions

Answer 186964 by jim_thompson5910(28487)   on 2010-01-07 18:32:21 (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 .

Multiply and 0 to get 0.

Simplify.

So the x-intercept is .

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

#### y-intercept

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

Plug in .

Simplify.

Divide both sides by to isolate .

Reduce.

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

 Equations/254591: 14-9x=-8(10+x)1 solutions Answer 186927 by jim_thompson5910(28487)   on 2010-01-07 17:42:27 (Show Source): You can put this solution on YOUR website! Start with the given equation. Distribute. Subtract from both sides. Add to both sides. Combine like terms on the left side. Combine like terms on the right side. Divide both sides by to isolate . Reduce. ---------------------------------------------------------------------- Answer: So the solution is
 Graphs/254603: Find the slope of (5,0) (-6,-4) These are the points that I have already plotted onto a graph. I just need the slope now. 1 solutions Answer 186926 by jim_thompson5910(28487)   on 2010-01-07 17:39:47 (Show Source): You can put this solution on YOUR website!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
 Graphs/254614: How do I find the slope of the line 5x+2y=-3?1 solutions Answer 186924 by jim_thompson5910(28487)   on 2010-01-07 17:38:56 (Show Source): You can put this solution on YOUR website! Start with the given equation. Subtract from both sides. Rearrange the terms. Divide both sides by to isolate y. Break up the fraction. Reduce. So the equation is now in slope intercept form where the slope is and the y-intercept is note: the y-intercept is the point
 Graphs/254613: (7,2) and (10,-4) find the slope if it exsists. m=1 solutions Answer 186923 by jim_thompson5910(28487)   on 2010-01-07 17:38:03 (Show Source): You can put this solution on YOUR website!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
 absolute-value/254575: Suppose a is a negative real number. Determine if the following is a positive or negative number: a) –a b) │-a│ c) -│a│ d) -(-a) e) -│-a│ I am totally confused about absolute values and do not understand this question.1 solutions Answer 186908 by jim_thompson5910(28487)   on 2010-01-07 16:48:37 (Show Source): You can put this solution on YOUR website!Hint: The absolute value of any number is ALWAYS positive. So |a| is ALWAYS positive and |-a| is ALWAYS positive. Let me know if this clears things up a bit.
 Graphs/254582: Graph the equation using the slope and the y intercept. y=7/5x+2 * 7/5 is written out as a fraction. did want to confuse you with division ok..thanks.1 solutions Answer 186906 by jim_thompson5910(28487)   on 2010-01-07 16:46:04 (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 7 and the run is 5. This means that to go from point to point, we can go up 7 and over 5 So starting at , go up 7 units and to the right 5 units 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
 Linear-systems/254227: Hi I have this word problem I need help on figuring out the formula to use. the problem reads. A skirt and a blouse together cost $75. The skirt costs$15 more than the blouse. What is the cost of the skirt? What is the cost of the blouse? I would greatly appreciate your help on this problem Thank you Scott1 solutions Answer 186535 by jim_thompson5910(28487)   on 2010-01-06 14:40:25 (Show Source): You can put this solution on YOUR website!Let s=cost of skirt, b=cost of blouse Since "A skirt and a blouse together cost $75", we know that . Also, because "The skirt costs$15 more than the blouse", we can say that Start with the first equation. Plug in Combine like terms on the left side. Subtract from both sides. Combine like terms on the right side. Divide both sides by to isolate . Reduce. Go back to the second equation. Plug in Add =============================================================== Answer: So the solutions are and which means that the blouse costs $30 and the skirt costs$45 Take note that the skirt is \$15 more than the blouse and that 30+45=75. So our answer is verified.
 Proportions/254229: All I need is a little help understanding how to solve a proportion. The problem is . my teacher actually didn't have time to teach us because we had a test today. thank you for help and time!1 solutions Answer 186532 by jim_thompson5910(28487)   on 2010-01-06 14:36:15 (Show Source): You can put this solution on YOUR website!The proportion is equivalent to the equation Start with the given equation. Multiply both sides by 100 Multiply Reduce So our answer is which is roughly
 Average/254233: What is the average (arithmetic mean) of 8,7,7,5,3,2,and 2?1 solutions Answer 186528 by jim_thompson5910(28487)   on 2010-01-06 14:34:22 (Show Source): You can put this solution on YOUR website!Add up the numbers and divide the sum by 7 (the number of numbers) So the mean is roughly 4.857
Linear-systems/253988: 3x+4y-3z=5
x+6y+2z=3
6x+2y+3z=4
1 solutions

Answer 186351 by jim_thompson5910(28487)   on 2010-01-05 20:18:35 (Show Source):
You can put this solution on YOUR website!
Let's use Cramer's Rule to solve this system

 Solved by pluggable solver: Using Cramer's Rule to Solve Systems with 3 variables First let . This is the matrix formed by the coefficients of the given system of equations. Take note that the right hand values of the system are , , and and they are highlighted here: These values are important as they will be used to replace the columns of the matrix A. Now let's calculate the the determinant of the matrix A to get . To save space, I'm not showing the calculations for the determinant. However, if you need help with calculating the determinant of the matrix A, check out this solver. Notation note: denotes the determinant of the matrix A. --------------------------------------------------------- Now replace the first column of A (that corresponds to the variable 'x') with the values that form the right hand side of the system of equations. We will denote this new matrix (since we're replacing the 'x' column so to speak). Now compute the determinant of to get . Again, as a space saver, I didn't include the calculations of the determinant. Check out this solver to see how to find this determinant. To find the first solution, simply divide the determinant of by the determinant of to get: So the first solution is --------------------------------------------------------- We'll follow the same basic idea to find the other two solutions. Let's reset by letting again (this is the coefficient matrix). Now replace the second column of A (that corresponds to the variable 'y') with the values that form the right hand side of the system of equations. We will denote this new matrix (since we're replacing the 'y' column in a way). Now compute the determinant of to get . To find the second solution, divide the determinant of by the determinant of to get: So the second solution is --------------------------------------------------------- Let's reset again by letting which is the coefficient matrix. Replace the third column of A (that corresponds to the variable 'z') with the values that form the right hand side of the system of equations. We will denote this new matrix Now compute the determinant of to get . To find the third solution, divide the determinant of by the determinant of to get: So the third solution is ==================================================================================== Final Answer: So the three solutions are , , and giving the ordered triple (2/3, 1/2, -1/3) Note: there is a lot of work that is hidden in finding the determinants. Take a look at this 3x3 Determinant Solver to see how to get each determinant.

 Functions/254011: What is a function that has the values f(1)=8 and f(7)=-101 solutions Answer 186344 by jim_thompson5910(28487)   on 2010-01-05 20:05:48 (Show Source): You can put this solution on YOUR website!Since f(1)=8 and f(7)=-10, this means that the line goes through the points (1,8) and (7,-10) 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 Distribute Multiply Add 8 to both sides. Combine like terms. Simplify So the equation that goes through the points and is This means that the function is (replace 'y' with f(x)) Notice how the graph of goes through the points and . So this visually verifies our answer. Graph of through the points and
Sequences-and-series/254000: I forgot how to work this type of problem and don't know what to do.
2 3/4 + 1 1/8

1 solutions

Answer 186343 by jim_thompson5910(28487)   on 2010-01-05 20:04:43 (Show Source):
You can put this solution on YOUR website!
First, convert each fraction to an improper fraction

Let's convert into an improper fraction:
Solved by pluggable solver: Converting Mixed Fractions to Improper Fractions (and vice versa)

#### Mixed Fractions to Improper Fractions

Remember, mixed fractions (or mixed numbers) are of the form:

               numeratorwhole part ----------------              denominator

So we can see that: , , and

Now follow these steps to convert the mixed fraction to an improper fraction

Step 1) First, multiply the whole part by the denominator to get .

Step 2) Now add that result to the numerator to get . This result is the new numerator. The denominator will remain the same.

Step 3) Place the new numerator over the original denominator to get

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

So,

Let's convert into an improper fraction:
Solved by pluggable solver: Converting Mixed Fractions to Improper Fractions (and vice versa)

#### Mixed Fractions to Improper Fractions

Remember, mixed fractions (or mixed numbers) are of the form:

               numeratorwhole part ----------------              denominator

So we can see that: , , and

Now follow these steps to convert the mixed fraction to an improper fraction

Step 1) First, multiply the whole part by the denominator to get .

Step 2) Now add that result to the numerator to get . This result is the new numerator. The denominator will remain the same.

Step 3) Place the new numerator over the original denominator to get

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

So,

 Solved by pluggable solver: Fractions Solver Start with the given expression In order to add these two fractions, these fractions need to have a common denominator. In order to do that, we simply find that the LCM of 4 and 8 is 8 (note: if you need help with finding the LCM, check out this solver) Now we need to get each denominator to 8 Multiply by Multiply and to get Since both fractions have a common denominator of 8, we can now combine the fractions Combine the fractions Add the numerators So

Finally, convert back to a mixed fraction

 Solved by pluggable solver: Converting Mixed Fractions to Improper Fractions (and vice versa) Start with the given improper fraction. Break up to get . Note: Make sure that the first number is a multiple of the denominator Break up the fraction. Reduce=============================Answer:So,

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