Answer:
- diagram is below
- 6, 11, 16, 21
- s[n] = s[n-1] +5
- 26, 31, 36
Step-by-step explanation:
a) See below for the next diagram in sequence.
__
b) The numbers of straws in each diagram are ...
6, 11, 16, 21, ...
__
c) Each term is 5 more than the previous one, so the recursive rule for the number of straws is ...
s[1] = 6
s[n] = s[n-1] +5
__
d) The next three terms of the sequence are ...
..., 26, 31, 36, ...
Answer:
is the correct answer.
Step-by-step explanation:
We know that vertex equation of a parabola is given as:

where
is the vertex of the parabola and
are the coordinate of points on parabola.
As per the question statement:
The parabola opens upwards that means coefficient of
is positive.
Let 
Minimum of parabola is at x = 3.
The vertex is at the minimum point of a parabola that opens upwards.

Putting value of a and h in the equation:

Formula used: 
Comparing the equation formulated above with the options given we can observe that the equation formulated above is most similar to option A.
Comparing
and
13 = 9+k
k = 4
Please refer to the graph attached.
Hence, correct option is 
First, we need to get all of the r's on the same side. To do this, we need to subtract "r" from both sides.
0.25r - 0.125 + 0.5r - r = 0.5 + r - r
0.25r - 0.125 +0.5r - r = 0.5
Now, we need to add like terms.
0.25r + 0.5r - r - 0.125 = 0.5
-0.25r - 0.125 = 0.5
Now, we need to get the "r" variable by itself.
-0.25r - 0.125 + 0.125 = 0.5 + 0.125
-0.25r = 0.625
Now, we divide both sides by -0.25
(-0.25r) / (-0.25) = 0.625 / (-0.25)
r = -2.5