Answer:
3(3a - 6b + 7c )
Step-by-step explanation:
The greatest common factor of 9, 18 and 21 is 3
Factor out 3 from each term
9a - 18b + 21c
= 3(3a - 6b + 7c) ← in factored form
3(3a - 6b + 7c)
Write each term as a multiplication of its factors. Then see which factors are in common to all terms.
9a - 18b + 21c =
= 3 * 3 * a - 2 * 3 * 3 * b + 3 * 7 * c
The common factors are shown below in bold:
The only common factor is 3.
Now use the distributive property to factor out a 3.
= 3(3 * a - 2 * 3 * b + 7 * c)
Now multiply each term in parentheses again.
= 3(3a - 6b + 7c)
a) 2f(x) = 4x - 2
b) f(2x) = 4x - 1
Explanation:
Given function:
a) 2f(x)
2f(x) = 2(2x - 1)
= 4x - 2
b) f(2x)
f(2x) = 2(2x) - 1
= 4x - 1
8) 81 has diploma
9)54
10)54
11)27
12) 843
13)1,456
14)433
15)353
D
see explanation
Under a reflection in the line y = - x
a point (x, y ) → (- y, - x ), thus
T(- 1, 3 ) → T'(- 3, 1 )
U(- 1, 10 ) → U'(- 10, 1 )
V(- 2, 4 ) → V'(- 4, 2 )