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 Graphs/365336: How do you graph 3x - y = 31 solutions Answer 260437 by jim_thompson5910(28595)   on 2010-11-02 21:06:43 (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. 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 3 and the run is 1. This means that to go from point to point, we can go up 3 and over 1 So starting at , go up 3 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
 Trigonometry-basics/365339: I have a homework problem for trigonometry that is stumping me. it is to verify the identity: cot^2x-cos^2x= cot^2xcos^2x. I have to make both sides of the equation equal. I have tried using identities such as cot^2x=csc^2x-1, but nothing seems to be working. Thanks for your help!1 solutions Answer 260436 by jim_thompson5910(28595)   on 2010-11-02 21:05:34 (Show Source): You can put this solution on YOUR website!cot^2x-cos^2x= cot^2xcos^2x .... Start with the given equation. I'm only going to manipulate the right side. cot^2x-cos^2x= (csc^2x-1)cos^2x ... Plug in cot^2x=csc^2x-1 cot^2x-cos^2x= csc^2xcos^2x-cos^2x ... Distribute. cot^2x-cos^2x= ( 1/(sin^2x) )cos^2x-cos^2x ... Use the identity csc(x)=1/sin(x). cot^2x-cos^2x= (cos^2x)/(sin^2x)-cos^2x ... Multiply cot^2x-cos^2x= cot^2x-cos^2x ... Use the identity (cos(x))/(sin(x))=cot(x). So this verifies the identity.
 test/363911: Hi, Could someone please show me how to get the correct answer from the problem below. I am required to show all the steps I used to get the final answer, but I have no idea to do this. Directions: approximate each number using a calculator. Round your answer to three decimal places. e3.9 (should read e to the 3.9 power e^3.9) The answer is: 49.402 1 solutions Answer 259598 by jim_thompson5910(28595)   on 2010-10-30 19:43:03 (Show Source): You can put this solution on YOUR website!Type either e^3.9 or exp(3.9) into your calculator to get . On most calculators, there's an 'e' button along with a '^' button. Note: there aren't many steps (if there are any steps at all) since a calculator is involved.
 Quadratic_Equations/363908: 3x^2+12x+5=p(x+q)^2+r Find the values of p,q and r1 solutions Answer 259597 by jim_thompson5910(28595)   on 2010-10-30 19:40:24 (Show Source): You can put this solution on YOUR website! Start with the given equation. FOIL Distribute. Notice that the coefficients for the terms are (on the left) and (on the right). So So the equation becomes Multiply Now notice that the coefficients for the x terms are 12 and 6q. So , which means that So the equation then becomes and simplifies to Finally, we see that 12+r=5, which means that
 test/363907: Hi, Can someone plese show me what steps I would take to obtain my answer. I appreciate it! Section 12.1, #1 The answer shown in the book is: 9.190 but I have no idea how to get the correct answer, like what steps to use. I appreciate your help! Approximate each number using a calculator. Round your answer to three decimal places. 2^32 (should read 2 to the 32nd power) 1 solutions Answer 259595 by jim_thompson5910(28595)   on 2010-10-30 19:35:53 (Show Source): You can put this solution on YOUR website!, so there must be a typo somewhere.
 Inequalities/363640: Please help me solve: 1 solutions Answer 259306 by jim_thompson5910(28595)   on 2010-10-29 15:41:48 (Show Source): You can put this solution on YOUR website! Start with the given inequality. Subtract from both sides. Add to both sides. Combine like terms on the left side. Combine like terms on the right side. Simplify. Since the inequality above is ALWAYS true, this means that there are an infinite number of solutions.
 Expressions-with-variables/363396: (4a+2b-6c)+(3a+2c)=1 solutions Answer 259103 by jim_thompson5910(28595)   on 2010-10-28 21:38:36 (Show Source): You can put this solution on YOUR website! So
 Rate-of-work-word-problems/363386: Write an equation of the line passing through (-3,13),(8,9), and (-8,23). I wasn't sure how to do this because they have different slopes. The slope of (-3,13) and (8,9) is 4/-11 The slope of (8,9) and (-8,23) is 7/-8 How would I write an equation for that?1 solutions Answer 259099 by jim_thompson5910(28595)   on 2010-10-28 21:30:59 (Show Source): You can put this solution on YOUR website!You can't draw a straight line through all of those points since the slope of the line through (-3,13) and (8,9) is and the slope through (8,9) and (-8,23) is . The slopes need to be equal.
 Rectangles/363379: a rectangular piece of cardboard is 30 inches by 20 inches. a square with a side of 2 inches is cut out of each corner and the carboard is folded up to form a box. what is the volume of the box1 solutions Answer 259090 by jim_thompson5910(28595)   on 2010-10-28 21:13:18 (Show Source): You can put this solution on YOUR website!Since 2 inches is cut from each dimension, the new length is now 30-2*2 = 30-4 = 26 inches and the new width is 20-2*2 = 20-4 = 16 inches. So the volume is cubic inches.
 Signed-numbers/363376: how do you get 3000 using order of operation?1 solutions Answer 259086 by jim_thompson5910(28595)   on 2010-10-28 21:04:52 (Show Source): You can put this solution on YOUR website!You're going to have to be more specific and post the entire problem.
 Miscellaneous_Word_Problems/363374: in a factory, one inspector checks every 8th item coming off the assembly like. another inspector checks every 12th item. if 1500 items are produced each day, how many items are inspected two times1 solutions Answer 259083 by jim_thompson5910(28595)   on 2010-10-28 21:03:24 (Show Source): You can put this solution on YOUR website!Hint: The LCM of 12 and 8 is 24. So simply count off every 24th item until you reach 1500. A shortcut is to divide 1500 into 24.
 Equations/363313: __ + ( __ / __) x __ = 24 Where do the numbers 2, 8, 4 and 16 go in this equation to make it correct? I have tried every possible way and can't figure it out. Thanks for your help.1 solutions Answer 259081 by jim_thompson5910(28595)   on 2010-10-28 20:59:56 (Show Source): You can put this solution on YOUR website!Here are ALL of the possible ways to plug in the 4 given numbers into the 4 given slots above. You'll notice that none of these ways generates 24. So either there's a typo or there's actually no solution. 16+8/4*2 = 20 8+16/4*2 = 16 16+4/8*2 = 17 4+16/8*2 = 8 8+4/16*2 = 8.5 4+8/16*2 = 5 16+8/2*4 = 32 8+16/2*4 = 40 16+2/8*4 = 17 2+16/8*4 = 10 8+2/16*4 = 8.5 2+8/16*4 = 4 16+4/2*8 = 32 4+16/2*8 = 68 16+2/4*8 = 20 2+16/4*8 = 34 4+2/16*8 = 5 2+4/16*8 = 4 8+4/2*16 = 40 4+8/2*16 = 68 8+2/4*16 = 16 2+8/4*16 = 34 4+2/8*16 = 8 2+4/8*16 = 10
 test/363361: 3 over 4 equals C over 24 ? I need to find the answer for the variable c 1 solutions Answer 259068 by jim_thompson5910(28595)   on 2010-10-28 20:42:09 (Show Source): You can put this solution on YOUR website! Start with the given ratio Multiply both sides by 24 Multiply Simplify So our answer is
 Inverses/363363: (1-3/4) (1+3/4) can you please help me solve this problem. thank you1 solutions Answer 259067 by jim_thompson5910(28595)   on 2010-10-28 20:41:24 (Show Source): You can put this solution on YOUR website!Use the difference of squares formula to get: So
 Equations/358952: 3-4d=13 -22=11-6a 21=-10m-3 4-2y-y=12 -15=6p+15-10p 4e-3e-2e=1-o1 solutions Answer 259066 by jim_thompson5910(28595)   on 2010-10-28 20:39:32 (Show Source): You can put this solution on YOUR website!I'll do the first one to get you started. Start with the given equation. Subtract from both sides. Combine like terms on the right side. Divide both sides by to isolate . Reduce. ---------------------------------------------------------------------- Answer: So the solution is
 Equations/360341: 4x2+5x+6=0 كيف تم حساب نقطة الإنعطاف في الرسم البياني 1 solutions Answer 259064 by jim_thompson5910(28595)   on 2010-10-28 20:38:45 (Show Source): You can put this solution on YOUR website! Start with the given equation. Notice that the quadratic is in the form of where , , and Let's use the quadratic formula to solve for "x": Start with the quadratic formula Plug in , , and Square to get . Multiply to get Subtract from to get Multiply and to get . Simplify the square root (note: If you need help with simplifying square roots, check out this solver) or Break up the expression. So the solutions are or
 Equations/361650: -3(b-8)-5+9(b+2)=1 1 solutions Answer 259063 by jim_thompson5910(28595)   on 2010-10-28 20:38:11 (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. Combine like terms on the right side. Divide both sides by to isolate . Reduce. ---------------------------------------------------------------------- Answer: So the solution is
 Equations/360819: 5d=9d-181 solutions Answer 259062 by jim_thompson5910(28595)   on 2010-10-28 20:37:26 (Show Source): You can put this solution on YOUR website! Start with the given equation. Subtract from both sides. Combine like terms on the left side. Divide both sides by to isolate . Reduce. ---------------------------------------------------------------------- Answer: So the solution is
 Equations/361821: How do you solve a/6-5=9?1 solutions Answer 259060 by jim_thompson5910(28595)   on 2010-10-28 20:36:25 (Show Source): You can put this solution on YOUR website! Start with the given equation. Multiply both sides by the LCD to clear any fractions. Distribute and multiply. Add to both sides. Combine like terms on the right side. ---------------------------------------------------------------------- Answer: So the solution is
 Equations/362158: (6+5)-x=61 solutions Answer 259059 by jim_thompson5910(28595)   on 2010-10-28 20:35:51 (Show Source): You can put this solution on YOUR website! Start with the given equation. 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. ---------------------------------------------------------------------- Answer: So the solution is
 Equations/362157: 5/8(p-4)=21 solutions Answer 259058 by jim_thompson5910(28595)   on 2010-10-28 20:35:09 (Show Source): You can put this solution on YOUR website! Start with the given equation. Distribute. Multiply both sides by the LCD to clear any fractions. Distribute and multiply. Add to both sides. Combine like terms on the right side. Divide both sides by to isolate . ---------------------------------------------------------------------- Answer: So the solution is If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website Jim
 Equations/363359: 10x+4=9x1 solutions Answer 259057 by jim_thompson5910(28595)   on 2010-10-28 20:34:31 (Show Source): You can put this solution on YOUR website! Start with the given equation. Subtract from both sides. Subtract from both sides. Combine like terms on the left side. ---------------------------------------------------------------------- Answer: So the solution is If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website Jim
 Circles/363356: if the area in the form of a circle is to be roped off by a rope 10m long what will be the radious of this area1 solutions Answer 259056 by jim_thompson5910(28595)   on 2010-10-28 20:32:20 (Show Source): You can put this solution on YOUR website! Start with the circumference of a circle formula. Divide both sides by to isolate "r". Flip the equation. Plug in (the given distance of the rope). Replace with (note: Use more digits of to get better accuracy). Multiply 2 and to get . Divide into to get (this figure is approximate). So the radius of a circle which has a circumference of meters is about meters.
 Equations/363319: How do you transform this equation to isolate x ? x / (x +y) = c If I multiply each side by (x +y), I get: x = cx + cy then I can subtract cx from both sides: x - cx = cy But I still can't get x by itself. ???1 solutions Answer 259048 by jim_thompson5910(28595)   on 2010-10-28 20:14:16 (Show Source): You can put this solution on YOUR website!You're doing great, I'll start where you left off. Start with the given equation. Factor out the GCF 'x'. Divide both sides by to isolate x. If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website Jim
 Expressions-with-variables/363347: Solve for C: P = R-C/n I'm stuck. I can get as far as this: Pn = R-C Pn-R = -C I'm stuck getting rid of the negative to solve for C. Please help!1 solutions Answer 259046 by jim_thompson5910(28595)   on 2010-10-28 20:11:48 (Show Source): You can put this solution on YOUR website!Is the equation or is it ?
 Numeric_Fractions/363348: simplify the expression: -18+6-4x+10-11x+21 solutions Answer 259044 by jim_thompson5910(28595)   on 2010-10-28 20:11:05 (Show Source): You can put this solution on YOUR website! So If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website Jim
 Graphs/363342: my question is how do you graph y=2/3x-51 solutions Answer 259043 by jim_thompson5910(28595)   on 2010-10-28 20:09:51 (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 2 and the run is 3. This means that to go from point to point, we can go up 2 and over 3 So starting at , go up 2 units and to the right 3 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 If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website Jim
 Rate-of-work-word-problems/363280: i paint a house in 4 hours and my wife paints the same house in 6 hours how long does it take for us to paint the house together? i have not been in scholl for over 20 yrs and need a reminder of the equations1 solutions Answer 259015 by jim_thompson5910(28595)   on 2010-10-28 18:17:53 (Show Source): You can put this solution on YOUR website!See this previous solution.
Graphs/363121: -x+5y=10 use the intercepts to graph the equation
1 solutions

Answer 258876 by jim_thompson5910(28595)   on 2010-10-28 13:29:41 (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.

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 .

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/363127: how to solve 2(n+5)=-21 solutions Answer 258874 by jim_thompson5910(28595)   on 2010-10-28 13:27:27 (Show Source): You can put this solution on YOUR website! Start with the given equation. Distribute. Subtract from both sides. Combine like terms on the right side. Divide both sides by to isolate . Reduce. ---------------------------------------------------------------------- Answer: So the answer is