valeriecse2006
valeriecse2006 valeriecse2006
  • 03-03-2021
  • Mathematics
contestada

if q is directly proportional to (p-1)^2 and q=20 when p=3,find the values of p when q=80​

Respuesta :

abidemiokin
abidemiokin abidemiokin
  • 08-03-2021

Answer:

p = 17 and -15

Step-by-step explanation:

If q is directly proportional to (p-1)², this can be written as;

q = k(p-1)²

If q = 20 when p = 3

20 = k(3-1)²

20 = 2²k

20 = 4k

k = 5

To get p wen q = 80

80 = 5(p-1)²

16 = (p-1)²

p-1 = ±√16

p-1 = 16 and p-1 = -16

p = 17 and p=-16+1

p = 17 and -15

Answer Link

Otras preguntas

Solve the system of equations.3x+3y+6z=33x+2y+6z=74x+4y+7z=4
What is a Mandala Autobiography?
Given the inequalities y > 5x-8 and y >3x+4, find the point that satisfies one inequalities but not them all
Given the inequalities y > 5x-8 and y >3x+4, find the point that satisfies one inequalities but not them all
A 1700 kg 2006 Mustang GT can accelerate from rest to 100 km/h in a time of 5.0 s.  Determine the net amount of work that must be done on the car to cause this
At the school carnival, Carmen sold 3 times as many hot dogs as Shawn. The two of them sold 152 hot dogs altogether. How many hot dogs did Carmen sell? 51382111
Given the inequalities y > 5x-8 and y >3x+4, find the point that satisfies both inequalities
One way to show that a statement is NOT a good definition is to find a _____ converse.conditional.counterexample.biconditional.
One-half of a number is -12. Find the solution ???
What Canadian city is across a body of water from New York