Recent content by memomator

I need help starting it. I have tried using the way my physics teacher told me too, however i have no clue how to involve the use of improper fractions in this question

If two masses m1 and m2 (in kg) are a distance d (in m) apart, then the force F (in N) of gravity is F = Gm1m2/d2, where G = 6.67 × 10−11 Nm2/kg2. If the mass of the Earth is 5.97 × 1024 kg and the radius of the Earth is 6380 km, calculate the work required (in J) to send a mass of 1 kg to the...

Thank you very much Dick, I finally understand. You have 6 solutions. Because B3 is between 3 and 8 and the numbers between 3 and 8 are solutions and you take those number and sub them into the other equation to find out b1 and b2.

Ok i understand that now, is there an easier way to find out how many solutions there are other than plugging into numbers.

The question states. Find all combination of pills that provide you with the exact daily requirement(no partial pill). How will I find all the combination of pills, knowing only the number of pills in brand 1, 2, and 3.

Oh ok so b3 is between 3 and 8 but if i plug in 0, 1, and 2 i get a negative number for b2. also what does the number 3 between 8 represent

Ok i found out that b3 must be greater or equal to 3. does this mean that there are infinite solutions if b3 is greater or equal to 3? If so does this mean that there are infinite combination to the pills.

Oh sorry you are right i made a mistake. Ok so the row echelon becomes 1 0 1 8 0 1 -1 -3 0 0 0 0 the equations become b1+b3=8 b2-b3=-3 what do i do after this I am really confused right now.

i reduced it to row-echelon form and got 1 0 0 8 0 1 -1 -3 0 0 0 0 so the first column is b1 second is b2 thrid is b3

b1=8 b1-b2=-3 i sub b1 into b1-b2=-3 i get b2 to be 5 So 8 and 5 are the coefficient of the pills?

Oh wait, B1=8 so B2 is 5 if i did substitution for the 2 equations. Please tell me if I am on the right track.

Ok i did get the solution: B1=8 and b1-b2=-3 and no solutions for b3 because brand three does not exist due to the fact that there are 0 vitamin A in that brand, and therefore not a solution because the doctor recommended brand 5 units of vitamin A. I was wondering though what does b1-b2=-3...

Hi, i do not understand this question, can somebody help me start this question please?