wahsorad9824 wahsorad9824
  • 03-01-2020
  • Mathematics
contestada

If k = (n + 2)(n – 2), where n is an integer greater than 2, what is the value of k ? (1) k is the product of two primes. (2) k < 100

Respuesta :

nijatibrahimov1993
nijatibrahimov1993 nijatibrahimov1993
  • 04-01-2020

Answer:

The answer is k=77

Step-by-step explanation:

It is given that n is an integer and greater than 2. Let us simplify k = (n + 2)(n – 2) to k=n^2-4.

In (1) it is stated that k is the product of two primes and in (2) it is stated that k<100. To solve the question we need to consider both cases (1) and (2).

Let say n=9 then k=n^2-4 becomes k=81-4=77. Well, 77 is the product of two prime numbers 7 and 11 (77=7*11). The answer is k=77

Answer Link

Otras preguntas

What characteristics of carbon allows it to form the base of each of compounds
Who believes that everyone can worship in their own way, whether at a temple or by practicing yoga at home?
x2= 121 can anyone solve it
A used car costs $6,472. A down payment of $1,000 is required. The remaining balance is to be paid in 36 equal monthly payments. What would be the monthly payme
Fossils in _______ layers of rock are generally estimated to be _______ than fossils found in the upper layers.
?????????????????????
The greatest biodiversity on earth is found in the __________ biome. A) taiga B) grasslands C) deciduous forest D) tropical rainforest
If foreign substances pass the body's first line of defense and into the bloodstream, what happens
Which of these is an organism? A.Virus B.Heart C.Bacteria D.Lung
what is the relationship between "2ab and a+b"