Answer : option B
Parent Graph f(x) = 
is attached below
We analyze each option
A) f(x − 2)
--> x - 2 shifts the graph 2 units to the right
B) f(x + 2)
--> x + 2 shifts the graph 2 units to the left
C) f(x) − 2
--> f(x) - 2 shifts the graph 2 units down
D) f(x) + 2 --> f(x) + 2 shifts the graph 2 units up
In the graph of f(x)= , the x intercept at x=1
From the graph attached in the question, the x intercept at x=-1
Its means the parent graph is shifted 2 units to the left.
Option B: f(x + 2)
--> x + 2 shifts the graph 2 units to the left
Answer:
x = 17
Step-by-step explanation:
Combine like terms first:
x + 3x + 4 = 72 --> 4x + 4 = 72
Isolate the variable by subtracting 4 from both sides so you get
4x = 72 - 4
4x = 68
Divide both sides by 4 to get
x = 68/4
x = 17
Answer:
4 years
Step-by-step explanation:
Note that:
1 foot = 12 inches
1 2/3 feet = x inches
We cross multiply
1 foot × x inches = 1 2/3 feet × 12 inches
x inches = 1 2/3 feet × 12 inches/1 foot
x inches = 5/3 × 12 inches
x inches = 20 inches
A tree grows 5 inches each year. How many years will it take for the tree to be 1 2/3 feet tall = 20 inches
This is calculated as
5 inches = 1 year
20 inches = x year
Cross Multiply
5x = 20 inches × 1 year
x = 20/5
x = 4 years
It would take the tree 4 years to be 1 2/3 feet tall
Answer: B, C, E
Step-by-step explanation:
For us to know if the options are correct, we just have to multiply the length the rope was cut into by the number of pieces and check if it equals 504 centimeter.
A. 12 pieces of 42.3 centimeter long rope.
= 12 × 42.3
= 507.6
This is wrong
B. 15 pieces of 33.6 centimeter long rope
= 15 × 33.6
= 504cm
This is correct
C. 16 pieces of 31.5 centimeter long rope
= 16 × 31.5
= 504cm
This is correct
D. 20 pieces of 25 centimeter long rope
= 20 × 25
= 500cm
This is incorrect
E. 35 pieces of 14.4 centimeter long rope
= 35 × 14.4
= 504cm
This is correct
Therefore, the correct option are B, C and E.
Answer: 5 and 9
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