Answer: The number of blue triangles to number of yellow triangles is 1:16.
Step-by-step explanation:
Since we have given that
Number of blue triangles = 5
Number of yellow triangles = 80
According to question,
Ratio of number of blue triangles : number of yellow triangles
Hence, the number of blue triangles to number of yellow triangles is
1:16.
Answer:
The butterfly travels 660 ft in 1.25 min.
Step-by-step explanation:
If the distance, d, a butterfly flies varies directly as the time,t in the air, then we can write the mathematical statement.
If we introduce the constant of proportionality, we obtain;
According to the question, when ,
.
We substitute these values to obtain;
The direct variation equation now becomes
When
Therefore the butterfly will travel 660 ft in 1.25 min.
Given:
The given functions are:
To find:
The transformations performed of f(x) to create g(x).
Solution:
The translation is defined as
.... (i)
Where, k is stretch factor, a is horizontal shift and b is vertical shift.
If 0<k<1, then the graph compressed vertically by factor k and if k>1, then the graph stretch vertically by factor k.
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
We have,
Using these two function, we get
...(ii)
On comparing (i) and (ii), we get
It means the graph of f(x) is vertically stretched with a scale factor of 3, shifts 5 units left and 2 units down to get g(x).
Therefore, the correct options are A and C.