Need help on this math problem hard

9514 1404 393

  use the formula B = (P +2A)/3

Step-by-step explanation:

Suppose point B is the point that does the division. The problem statement tells you that B is located such that ...

  AB/AP = 1/3

Multiplying by 3·AP gives ...

  3AB = AP

For the purpose here, we can say the lengths AB and AP are the differences ...

  AB = B -A

  AP = P -A

Then ...

  3(B -A) = P -A

  3B -3A = P -A

Adding 3A to both sides gives ...

  3B = P +2A

and dividing by 3, we find B to be ...

  B = (P +2A)/3

We can use this formula with the coordinates of P and A that we read from the graph to find the coordinates of B.

Additional comment

The formula is applied separately to the x- and y-coordinates:

  (Bx, By) = ((Px +2Ax)/3, (Py +2Ay)/3)

step-by-step explanation:

the original amount doesn't ''re just looking for the time it takes for 1/2 of the substance to we have

(1/2) =)     take the ln   of both sides

ln (1/2)   = )   and we can write

ln(1/2) = ) lne     and lne   = 1     so we have

ln(1/2) = -.1092t     divide both sides by -.1092

t = ln(1/2)/-.1092 = about 6.347 days = about 6.3 days (rounded)

x= cost per bracelet

number of bracelets * x + shipping charge = total cost

so

9x+9=72