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 Polynomials-and-rational-expressions/708977: What is the degree of the polynomial 8y squared - square root of 21 solutions Answer 436339 by jim_thompson5910(28595)   on 2013-01-31 18:03:36 (Show Source): You can put this solution on YOUR website!The largest exponent is 2, so the degree is 2.
 Proportions/708962: on a map the scale is 1/2 inches =25 miles and I k=need to find the actual distance. Can you help me find the actual distance for 8 and 3/4inches? 1 solutions Answer 436337 by jim_thompson5910(28595)   on 2013-01-31 17:56:35 (Show Source): You can put this solution on YOUR website!8 and 3/4 = 8 + 3/4 8 and 3/4 = 32/4 + 3/4 8 and 3/4 = 35/4 ------------------------------------------ 1/2 inches = 25 miles 1 inch = 2*25 miles 1 inch = 50 miles 35/4 inches = (35/4)*50 miles 35/4 inches = (35*50)/4 miles 35/4 inches = 1750/4 miles 35/4 inches = 875/2 miles 35/4 inches = (874 + 1)/2 miles 35/4 inches = 874/2 + 1/2 miles 35/4 inches = 437 + 1/2 miles 35/4 inches = 437 and 1/2 miles 8 and 3/4 inches = 437 and 1/2 miles
 Equations/708957: -m/5=3 Solve the equation.1 solutions Answer 436329 by jim_thompson5910(28595)   on 2013-01-31 17:37:44 (Show Source): You can put this solution on YOUR website!multiply both sides by -5 to go from -m/5 = 3 to m = -15
 Equations/708954: 6y+34=2y-2 solve. 1 solutions Answer 436328 by jim_thompson5910(28595)   on 2013-01-31 17:36:29 (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. Combine like terms on the right side. Divide both sides by to isolate . Reduce. ---------------------------------------------------------------------- Answer: So the solution is
 Inequalities/708947: Please solve it for me 2x+6<5(x-3)1 solutions Answer 436326 by jim_thompson5910(28595)   on 2013-01-31 17:34:18 (Show Source): You can put this solution on YOUR website! Start with the given inequality. Distribute. 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 . note: Remember, the inequality sign flips when we divide both sides by a negative number. Reduce. ---------------------------------------------------------------------- Answer: So the solution is
 Inequalities/708940: 9x-2x>=14-9(-x-4)1 solutions Answer 436320 by jim_thompson5910(28595)   on 2013-01-31 17:27:24 (Show Source): You can put this solution on YOUR website! Start with the given inequality. Distribute. Combine like terms on the left side. Combine like terms on the right side. Subtract from both sides. Combine like terms on the left side. Divide both sides by to isolate . note: Remember, the inequality sign flips when we divide both sides by a negative number. Reduce. ---------------------------------------------------------------------- Answer: So the solution is
 logarithm/708946: logb27=31 solutions Answer 436318 by jim_thompson5910(28595)   on 2013-01-31 17:26:35 (Show Source): You can put this solution on YOUR website!logb27=3 b^3 = 27 b^3 = 3^3 b = 3
 Triangles/708891: Hi! I was wondering if I have a triangle where two of the angles are 60 and the third angle is y and one side is labled 4x how would I find the variables? It also says the perimeter is 54 too. 1 solutions Answer 436301 by jim_thompson5910(28595)   on 2013-01-31 16:12:30 (Show Source): You can put this solution on YOUR website!All 3 angles in a triangle add up to 180 degrees, so 60+60+y = 180 120 + y = 180 y = 180 - 120 y = 60 So the third angle is 60 Since each angle is 60, we have an equilateral triangle. So we have 3 sides equal to 4x They add to the perimeter of 54, which means 4x+4x+4x = 54 12x = 54 x = 54/12 x = 27/6 x = 9/2 x = 4.5 So in the end, x = 4.5 and y = 60 Because x = 4.5, each side is therefore 4.5*4 = 18 units long.
Equations/708894: how to factor? -2x^2-3x+6
1 solutions

Answer 436298 by jim_thompson5910(28595)   on 2013-01-31 16:09:15 (Show Source):
You can put this solution on YOUR website!

Factor out the GCF .

Now let's try to factor the inner expression

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

Looking at the expression , we can see that the first coefficient is , the second coefficient is , and the last term is .

Now multiply the first coefficient by the last term to get .

Now the question is: what two whole numbers multiply to (the previous product) and add to the second coefficient ?

To find these two numbers, we need to list all of the factors of (the previous product).

Factors of :
1,2,3,4,6,12
-1,-2,-3,-4,-6,-12

Note: list the negative of each factor. This will allow us to find all possible combinations.

These factors pair up and multiply to .
1*(-12) = -12
2*(-6) = -12
3*(-4) = -12
(-1)*(12) = -12
(-2)*(6) = -12
(-3)*(4) = -12

Now let's add up each pair of factors to see if one pair adds to the middle coefficient :

First NumberSecond NumberSum
1-121+(-12)=-11
2-62+(-6)=-4
3-43+(-4)=-1
-112-1+12=11
-26-2+6=4
-34-3+4=1

From the table, we can see that there are no pairs of numbers which add to . So cannot be factored.

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

So simply factors to

In other words, .

 Average/708899: if i have 85% final mark in bio, and i get 50% on my final exam, or even 40%, and the test is worth 70% of my mark. what will my grade go down to?1 solutions Answer 436296 by jim_thompson5910(28595)   on 2013-01-31 16:07:48 (Show Source): You can put this solution on YOUR website!If you got a 50% on the final exam: 0.85*0.30 + 0.50*0.70 = 0.605 which means your grade would go down to a 60.5% -------------------------------------------------------- If you got a 40% on the final exam: 0.85*0.30 + 0.40*0.70 = 0.535 which means your grade would go down to a 53.5%
 Inequalities/708803: solve the inequality and graph the solution set 3(4m-1)+7>281 solutions Answer 436293 by jim_thompson5910(28595)   on 2013-01-31 15:51:22 (Show Source): You can put this solution on YOUR website! Start with the given inequality. 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 To graph , follow these steps Step 1) Draw out a number line. Make sure that this number line includes the number 2. Step 2) Plot a circle at the point 2 on the number line. Step 3) Make sure you keep this circle an open circle (ie NOT filled in). You don't fill in the circle because we have a > sign. This tells you to exclude the endpoint. Step 4) Shade to the right of this circle to completely graph m>2. You shade to the right because there is a > sign. So to sum things up, you plot an OPEN circle at 2 and shade to the RIGHT.
 Polynomials-and-rational-expressions/708860: y^3+8y^2-y-81 solutions Answer 436290 by jim_thompson5910(28595)   on 2013-01-31 15:24:06 (Show Source): You can put this solution on YOUR website! Start with the given expression Group the terms in two pairs Factor out the GCF out of the first group. Factor out the GCF out of the second group Since we have the common term , we can combine like terms Factor to get using the difference of squares rule So factors to In other words, for all values of y
 Linear-equations/708864: 3x – y = 28 3x + y = 141 solutions Answer 436289 by jim_thompson5910(28595)   on 2013-01-31 15:22:11 (Show Source): You can put this solution on YOUR website!Hint: Add the equations to get 3x – y = 28 3x + y = 14 ------------ 6x+0y = 42 6x = 42 solve 6x = 42 for x, then use this to find y.
 Polynomials-and-rational-expressions/708861: 4x^2-16x=01 solutions Answer 436285 by jim_thompson5910(28595)   on 2013-01-31 15:03:09 (Show Source): You can put this solution on YOUR website!Hint: 4x^2-16x=0 factors to 4x(x - 4) = 0 and that breaks into 4x = 0 or x-4 = 0
 Equations/708871: -x+14=7(2+3x)1 solutions Answer 436284 by jim_thompson5910(28595)   on 2013-01-31 15:02:21 (Show Source): You can put this solution on YOUR website! Start with the given equation. Distribute. 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
 Equations/708169: 10+3x=26-5x1 solutions Answer 436071 by jim_thompson5910(28595)   on 2013-01-30 14:22:34 (Show Source): You can put this solution on YOUR website! Start with the given equation. 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
 Equations/708170: 11-2x=31-7x1 solutions Answer 435997 by jim_thompson5910(28595)   on 2013-01-30 02:37:30 (Show Source): You can put this solution on YOUR website! Start with the given equation. 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
 Equations/708171: 16x+21=30+13x1 solutions Answer 435996 by jim_thompson5910(28595)   on 2013-01-30 02:32:22 (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. Combine like terms on the right side. Divide both sides by to isolate . Reduce. ---------------------------------------------------------------------- Answer: So the solution is
 Equations/708172: 4x+10=2(2x+5)1 solutions Answer 435995 by jim_thompson5910(28595)   on 2013-01-30 02:31:48 (Show Source): You can put this solution on YOUR website! Start with the given equation. Distribute. Subtract from both sides. Subtract from both sides. Combine like terms on the left side. Combine like terms on the right side. Simplify. Since this equation is ALWAYS true for any x value, this means x can equal any number. So there are an infinite number of solutions.
 Exponents/708121: The product of 6x to the power of a and x is ?1 solutions Answer 435982 by jim_thompson5910(28595)   on 2013-01-29 23:47:58 (Show Source): You can put this solution on YOUR website!6x^a * x = 6x^a * x^1 6x^a * x = 6x^(a + 1) Answer: 6x^(a + 1)
 Inequalities/708122: Solve the inequalities, and express the solutions in terms of intervals -3 ≤ x - 9 ≤ 3 1 solutions Answer 435975 by jim_thompson5910(28595)   on 2013-01-29 22:52:59 (Show Source): You can put this solution on YOUR website!-3 ≤ x - 9 ≤ 3 -3+9 ≤ x - 9+9 ≤ 3+9 6 ≤ x + 0 ≤ 12 6 ≤ x ≤ 12 Answer: 6 ≤ x ≤ 12
 test/708105: How do you solve K^2-12k+35=01 solutions Answer 435974 by jim_thompson5910(28595)   on 2013-01-29 22:26:54 (Show Source): You can put this solution on YOUR website!Hint: factor the left side k^2 - 12k + 35 = 0 (k - 7)(k - 5) = 0
 Problems-with-consecutive-odd-even-integers/708110: Gain of 15 yards in football ? 1 solutions Answer 435973 by jim_thompson5910(28595)   on 2013-01-29 22:26:12 (Show Source): You can put this solution on YOUR website!Gain of 15 yards in football = +15 or just 15 as an integer
 test/708077: The roots of the equation x^2-14x+48=0 are ...1 solutions Answer 435966 by jim_thompson5910(28595)   on 2013-01-29 21:42:42 (Show Source): You can put this solution on YOUR website!Hint: In the equation x^2-14x+48=0 The left side factors to (x-6)(x-8)=0
 Inequalities/708027: 4x+49<9-x1 solutions Answer 435952 by jim_thompson5910(28595)   on 2013-01-29 20:47:25 (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. Divide both sides by to isolate . Reduce. ---------------------------------------------------------------------- Answer: So the solution is
 Numbers_Word_Problems/707958: The sum of two numbers is 20. Their difference is 4. Solve by elimination to find the two numbers. 1 solutions Answer 435930 by jim_thompson5910(28595)   on 2013-01-29 19:31:01 (Show Source): You can put this solution on YOUR website!Hint: x+y = 20 x-y = 4 --------- 2x+0y = 24 2x = 24 Solve for x. Then use this to find y.
 Percentage-and-ratio-word-problems/707941: in a group of 12 students, 7 of the students were girls. What is the fraction of boys and girls in the group1 solutions Answer 435929 by jim_thompson5910(28595)   on 2013-01-29 19:30:10 (Show Source): You can put this solution on YOUR website!There are 12 - 7 = 5 boys Fraction of Girls: 7/12 Fraction of Boys: 5/12
 Equations/707959: 3x-9=6x-141 solutions Answer 435928 by jim_thompson5910(28595)   on 2013-01-29 19:29:07 (Show Source): You can put this solution on YOUR website! Start with the given equation. Add to 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
 test/707939: Tell whether the ordered pair is a solution of the equation. y=5x; (15, -3)1 solutions Answer 435927 by jim_thompson5910(28595)   on 2013-01-29 19:27:58 (Show Source): You can put this solution on YOUR website!y = 5x -3 = 5*15 ... plug in x = 15 and y = -3 -3 = 75 Since that last equation is FALSE, this means (15, -3) is NOT a solution.
 Proofs/707955: I have been wrestling with trying to solve this proof.....Pleeaaassseee HELP! (J->L)->(M->N),A,A->(J->L),(M->N)->[(J->L)->O],O->(A->B)|-B 1 solutions Answer 435925 by jim_thompson5910(28595)   on 2013-01-29 19:20:03 (Show Source): You can put this solution on YOUR website!You have A (ie you're assuming A is true) and you have this A -> (J -> L) So you can use modus ponens to get J -> L --------------------------------------------- You have this statement (J->L)->(M->N) and you can use modus ponens with this and the "J -> L" you got earlier to get M -> N --------------------------------------------- Now you have M -> N and (M->N)->[(J->L)->O] Use modus ponens to get (J->L)->O Then use modus ponens again with J -> L and (J->L)->O to get O ---------------------------------------------- You now have O and O -> (A -> B) Use modus ponens to get A -> B Finally, use modus ponens with A and A -> B to get B ---------------------------------------------- So all of the given statements and using modus ponens a bunch of times leads us to the conclusion of B This proves that the argument and conclusion is valid.
 Equations/707938: -3(x+5)= 3(x-1)1 solutions Answer 435923 by jim_thompson5910(28595)   on 2013-01-29 19:14:56 (Show Source): You can put this solution on YOUR website! Start with the given equation. Distribute. Add to 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