Answer:
X = {8n – 7n – 1 : n ϵ N}
Y = {49 (n –1) : n ϵ N} — (1) [all terms divisible by 49]
X = {8n – 7n – 1}
= (1 + 7)n – 7n – 1
= 1 + nC1 7 + nC2 72 + ….. + nCn 7n – 7n – 1
= nC2 72 + …… + nCn 7n
= 49 [nC2 + nC3 7 + …. nCn 7n-2] — (2)
From (1) and (2),
X is divisible by 49.
Y has all multiples of 49.
X ⊂ Y
Average rate of change = [(g(7) - g(4))/(7 - 4) + (g(8) - g(7))/(8 - 7)] = [(7/2 + 5) - (4/2 + 5)]/(7 - 5) + [(-3(8) + 3) - (-3(7) + 3)]/(8 - 7) = [(8.5 - 7)/2 + (-21 - (-18))/1] = (1.5/2 + (-3)) = 0.73 - 3 = -2.25
Answer: X intercept= (-3,0) Y intercept= (0,4)
Step-by-step explanation:
Answer:
129
Step-by-step explanation:
180-51= 129
129 is corresponding with x
and corresponding angles are equal
so 129 is the answer
Divide by 11 to make z by itself
z = 4/11
