Answer:
a) f(x) translated up 4 units ⇒ vertical moving
b) f(x) stretched vertically by scale factor 5
c) f(x) translated 3 units to the left ⇒ horizontal moving
d) f(x) stretched horizontally by scale factor 1/0.1 = 10
e) f(x) compressed horizontally by scale factor 1/3 and reflected
about the y-axis
Step-by-step explanation:
∵ f(x) = 1/x
a) ∵ g(x) = 1/x + 4
∴ f(x) moved up 4 units ⇒ vertical moving
b) ∵ g(x) = 5(1/x)
∴ f(x) stretched vertically by scale factor 5
c) ∵ g(x) = 1/(x + 3)
∴ f(x) moved 3 units to the left ⇒ horizontal moving
d) ∵ g(x) = 1/0.1x
∴ f(x) stretched horizontally by scale factor 1/0.1 = 10
e) ∵ g(x) = 1/-3x
∴ f(x) compressed horizontally by scale factor 1/3 and reflected
about the y-axis
Answer:
23
Step-by-step explanation:
a pair is 2 so 2 pairs time 3 2x3=6 so 17+6=23
Answer:
15/18
Step-by-step explanation:
A single di has 6 sides, meaning the probability of rolling a 6 is 1/6. So if you roll a di 18 times you would probably get 6 three times. Meaning the number of unsuccesful rolls would be (18/18 - 3/18). Hope this helps.
Answer:
n=7/3
Step-by-step explanation:
1 (n – 4) – 3 = 3 - (2n+3)
1. distribute the 1 on the left side and distribute the -1 on the right side
1n-4-3=3-2n-3
2. add like terms
1n-7=-2n
3. move n to one side and by itself
-7=-3n
4. divide -3 to get n alone. Both negatives cancel out each other
7/3=n