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

20 points PLEASE HELP ASAP!!!!!!! The shorter base of isosceles trapezoid is 6 cm. The altitude is 10 cm. The acute angle of the trapezoid is 63º. Find the long
Describe how training programs would differ for the following: weight training, weightlifting, power lifting, and bodybuilding
How does the Federal Funds Rate affect consumers looking to take out a loan?
Write 3 equivalent ratios for 17:69
Five times a number is added to two times it’s square. If the result is 168, find the number.
Your heart pumps blood at variable rates depending on your degree of physical activity or neural/hormonal activity (this is called heart rate). With exercise or
5+ 12x = x What is x?
[tex](1.345*\frac{1}{24} )^{24}[/tex]
You are assessing a 49-year-old man who complains of chest pressure that began the night before. He is conscious, but anxious, and tells you he has a history of
How did Spain and Portugal protect their claims in the Americas?