A group of college students are asked: "Including elementary, middle school, high school, trade school, and college, how many sc
hools have you attended?" The histogram shown represents their responses. Identify the mode of this distribution.
A. Twenty, the maximum value.
B. Zero, the minimum value.
C. Ten, because it's in the middle.
D. Three, because it appears most often
A. Twenty, the maximum value.
B. Zero, the minimum value.
C. Ten, because it's in the middle.
D. Three, because it appears most often
2 answers:
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Answer:
- Parent Function:
- Horizontal shift: right 3 units
- Vertical shift: up 3 units
- Reflection about the x-axis: none
- Vertical strech: streched
Step-by-step explanation:
assume that is
and
is
The transformation from the first equation to the second equation can be found by finding a,h and k for each equation.
factor a 1 out of the absolute value to make the coefficient of x equal to 1
factor a 2 out of the absolute value to make the coefficient of x equal to 1
find a, h and k for
the horizontal shift depends on the value of h when , the horizontal shift is described as:
- the graph is shifted to the left h units
- the graph is shifted to the right h units
the vertical shift depends on the value of k
Answer:
Option B: x > 0
Step-by-step explanation:
Option A is wrong because will be 0. So, the inequality can't be divided by 0.
Option C is wrong because 1 will suffice this inequality.
Option D is wrong because any value in the root has to be greater or equal to 0 (otherwise, it's imaginary number). -1 will give the latter root a value of root-(-3).
Leaving us with only option B, which is the right answer.
A
this is a geometric sequence since there exists a common ratio r between the terms
r = =
=
= 3
B
to obtain the next term in the sequence multiply the previous term by 3
= 3
← recursive rule
C
the n th term of a geometric sequence is
=
where is the first term in the sequence
= 7 ×
← explicit rule