Answer:

Step-by-step explanation:
Step 1
List the length of the wingspan of the five butterflies

Step 2:
The two butterflies with the shortest wingspan has a wing length of
inches each.
Step 3:
Total length of the wingspan of the two butterflies with the shortest wingspan
= 
Final answer:
= 
Answer: I added an attachment of what the graph should look like! :)
Step-by-step explanation:
The factors of 21 are 1, 3, 7, and 21
Yo sup??
y=(x+4)(x-2)
to find the x intercept put y=0
0=(x+4)(x-2)
so either x=-4 or x=2
Therefore the graph intersects the x axis at -4 and 2
Lenght of x intercept=|-4-2|=6 units
y=(x+4)(x-2)
=x^2+2x-8
This is an upward opening parabola
To find the coordinates of the vertex we can apply the formula
(-b/2a,-D/4a)
b=2
a=1
D=b^2-4ac
=4-4*1*(-8)
=4+32=36
Vertex=(-2/2*1,-36/4*1)
=(-1,-9)
Hope this helps.
Answer:
a₄=8n+1= -39.
Step-by-step explanation:
1) if a₁=3n; a₃=5n-6 and a₅=11n+8, then it is possible to calculate the difference according to 0.5(a₅-a₃)=0.5(a₃-a₁). Then
2) 0.5(11n+8-5n+6)=0.5(5n-6-3n); ⇔ 6n+14=2n-6; ⇔ n= -5.
3) if n=-5, then the 4th term is:

or a₄=-39.