Answer:
a) f(x) = (-1/3)x + 8
b) f(x) = (1/3)x + 9
Step-by-step explanation:
f(x) = 1/3x - 8
a) To reflect across the x axis multiply f(x) by -1.
-f(x) = -1 (1/3x - 8)
= (-1/3)x + 8
b) to translate up 17 units add 17 to f(x)
f(x) + 17=
= 1/3x - 8 + 17
= 1/3x + 9
X= 78
Y=115
Because x + 102 = 180
Y is the same as the angle on the line below, since they are parallel
Answer:27/220
Step-by-step explanation:
She must have 2 �1 coins and 1 50p coin.
She can choose the 2 �1 coins 3C2 = 3 ways.
For each of those 3 ways she can choose the
50p coin 9C1 or 9 ways.
That's 3�9=27 ways to get �2.50.
She can choose any 3 coins in 12C3 = 220 ways.
The desired probability is 27 ways out of
220 ways,or 27/220, or 13.5% of the time.
The total number of bees is the number in the hive plus the number in the garden. 14 + 17 = 31 bees
