The number of messages sent by Elsa, Ryan and Jim are 11 , 84 and 21 respectively.
<em><u>Explanation</u></em>
Suppose, the number of messages Jim sent is
As Ryan sent 4 times as many messages as Jim, so the number of messages sent by Ryan
Also, Elsa sent 10 fewer messages than Jim, so the number of messages sent by Elsa
Given that, they sent a <u>total of 116</u> text messages. So the equation will be.......
So, the number of messages sent by each of them.....
Answer:
The graph shifts 7 units left and 2 units up.
Step-by-step explanation:
In transformations, when a number is added or subtracted to "x" directly, that is the left/right shift.
When a number is added or subtracted outside of the "rest" of the equation, that is the up/down shift.
I learned transformations with these variables:
"a" - vertical stretch (a > 1) or compression (0 < a < 1)
"k" - horizontal stretch (0 < k < 1) or compression (k > 1)
"c" - translate left (+) or right (-)
"d" - translation up (+) or down (-)
The untranslated graph is centred around the origin f(x) = 1/x
f(x) begins 3 units right and 1 unit up of the untranslated graph.
g(x) is 4 units left and 3 units up of the untranslated graph.
y
g |
| f
-----------|------------ x
There is a 7 units translation left and 2 units translation up.