Answer:
Step-by-step explanation:
(4w - 5) (w - 4)
4w² - 21w + 20
We will look two numbers that when we add will give is -21 and when we multiply will give us 20 × 4= 80 and these numbers are -16 and -5.
4w² - 16w - 5w + 20
4w(w - 4) - 5(w - 4)
z varies inversely
so z=a/x^2
9=a/(2/3)^2
9=a/(4/9)
9=9a/4
a=4
z=4/x^2
z=4/(5/4)^2
z=4/(25/16)
z=64/25
This is your answer
(E) I, II and III
Given,
[email protected] = a + b - ab ∀ a, b ∈ Z ( set of all integers ),
For solving this question we need to remember the following properties of integers:
I. [email protected] = a + b - ab,
[email protected] = b + a - ba = a + b - ab
Thus, [email protected] = [email protected]
II. [email protected] = a + 0 - a × 0
= a + 0 - 0
= a
III. ([email protected])@c = ([email protected])+c - ([email protected])c
= (a + b - ab) + c - (a + b - ab)c
= a + b - ab + c - ac - bc + abc
= a + b + c - ab - bc - ac + abc,
Now, [email protected]([email protected]) = [email protected]( b + c - bc )
= a + (b + c - bc) - a(b+c - bc)
= a + b + c - bc - ab - ac + abc
= a + b + c - ab - bc - ac + abc.
Thus, ([email protected])@c = [email protected]([email protected])
its 1565!