Janae and Jerome each have m marbles. Gwen has 4(m + 2) marbles. John has 8m + 4 marbles. If John has more marbles than Janae, J
1 answer:
Answer:
C, D, E
Step-by-step explanation:
The numbers of marbles are:
- Janae - m;
- Jerome - m;
- Gwen - 4(m+2);
- John - 8m+4.
Janae, Jerome, and Gwen combined have
m + m + 4(m+2) = m + m +4m + 8 =6m + 8 marbles.
If John has more marbles than Janae, Jerome, and Gwen combined, then
So, possible answers are
- Janae and Jerome each have 3 marbles;
- Janae and Jerome each have 4 marbles;
- Janae and Jerome each have 5 marbles.
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Given:
The two functions are:
To find:
The type of transformation from f(x) to g(x) in the problem above and including its distance moved.
Solution:
The transformation is defined as
.... (i)
Where, a is horizontal shift and b is vertical shift.
- If a>0, then the graph shifts a units left.
- If a<0, then the graph shifts a units right.
- If b>0, then the graph shifts b units up.
- If b<0, then the graph shifts b units down.
We have,
The function g(x) can be written as
...(ii)
On comparing (i) and (ii), we get
Therefore, the type of transformation is translation and the graph of f(x) shifts 2 units up to get the graph of g(x).