24pateldheer 24pateldheer

20-05-2019
Mathematics

contestada

Prove that for all whole values of n the value of the expression:
n(n+2)–(n–7)(n–5) is divisible by 7.

Respuesta :

sqdancefan sqdancefan

20-05-2019

Explanation:

Multiply it out, collect terms, and look for a factor of 7:

n(n +2) -(n -7)(n -5) = n² +2n -(n² -12n +35)

= 14n -35

= 7(2n -5)

The expression has a factor of 7, so is divisible by 7 with a resulting quotient of 2n-5.

Answer Link

Otras preguntas

What increases the ability to see at night? A. an increased number of cone cells B. an increased number of rod cells C. more cone cells than rod cells D. an equ

According to the _____ of color vision, receptor cells are linked in pairs, working in opposition to each other.

Even though she had difficulty getting started in her research, Jacqueline really blew her teacher out of the water with her presentation on metaphors in Edgar

Which expression is equivalent to ((125^(2))/(125^((4)/(3))))

how does religion affect art?

Which factor most greatly limits the power of the US government

Name the binomial you can multiply by (x + 9) to get the product x2 + 5x - 36. a. 4 - x b. x + 6 c. x - 4 d. x - 6

An approach to lie detection that assesses a suspect's physiological response to details of a crime known only to police investigators is called the

Simplify the expression. Use the variables, numbers, and symbols that are shown. Drag them to the appropriate box in the polynomial. Use standard polynomial for

According to President Fillmore, why did he send Commodore Perry to Japan?