Answer:
For the function, 
, stretches the graph by making the outputs matched to the inputs much larger than the parent function 
. It stretches further by being multiplied by 4 after 
. Lastly the graph is shifted down by 6 units.
Step-by-step explanation:
When functions are transformed there are a few simple rules:
- Adding/subtracting inside the parenthesis to the input shifts the function left(+) and right(-).
- Adding/subtracting outside the parenthesis to the output shifts the function up(+) and down(-).
- Multiplying the function by a number less than 1 compresses it towards the x-axis.
- Multiplying the function by a number greater than 1 stretches it away from the x-axis.
- Multiplying by a negative or changing the leading coefficient's sign will flip the graph.
For the function, , stretches the graph by making the outputs matched to the inputs much larger than the parent function . It stretches further by being multiplied by 4 after . Lastly the graph is shifted down by 6 units.
Answer:
14π yards^2, or 43.98^2 yards rounded to 2dp
Step-by-step explanation:
circumference = diameter x π
Step-by-step explanation:
Number of socks: 3+4+5= 12
Number of red socks= 4
Red socks/other socks= 4/12
Simplify: fraction: 1/3
percentage: 33.33%
decimal: 0.3333
Answer:
76017.69 mm²
631000 mm³
295045.04 mm³
Step-by-step explanation:
Surface area = bh + 2ls + lb
Since the sides of the triangular prism are equal (equilateral triangle) = 60 mm each
Height = 405 mm
The surface area of triangular = 76017.69 mm
The volume of triangular prism :
1/2 * base * height * length
Volume = 631000 mm³
If amount of chocolate inside = 335954.96 mm3
Empty space =
Volume of triangular prism - amount of chocolate inside
631000 - 335954.96
= 295045.04 mm³
