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.
Answer:
-110
Step-by-step explanation:
well it depends on who, how well, if they understand how to read music, ect.
1 Expand.
8x-6-8=4+2x8x−6−8=4+2x
2 Simplify 8x-6-88x−6−8 to 8x-148x−14.
8x-14=4+2x8x−14=4+2x
3 Add 1414 to both sides.
8x=4+2x+148x=4+2x+14
4 Simplify 4+2x+144+2x+14 to 2x+182x+18.
8x=2x+188x=2x+18
5 Subtract 2x2x from both sides.
8x-2x=188x−2x=18
6 Simplify 8x-2x8x−2x to 6x6x.
6x=186x=18
7 Divide both sides by 66.
x=\frac{18}{6}x=
6
18
8 Simplify \frac{18}{6}
6
18
to 33.
x=3x=3
Done Hope this helps let me know if u have any questions thank you
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.