Chris says that is halfway between 0.5 and 100%. Is Chris correct? You must explain your answer
1 answer:
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After solving the equation (work shown in image) your answer would be x > -2. I drew an image of how the number line should look at least similar to, using the solution.
*whenever you divide or multiply with a negative number reverse/flip the sign
< or > signs will always have an open circle
≥ or ≤ signs will have a closed/filled in circle
TIP: To know which way the arrow should point, look at the sign and think of it as an arrow.
< would have the arrow on the number point
this way: <-
or > which would have the arrow on the number line point this way: ->
Answer:
Step-by-step explanation:
Any problem of this kind should first be approached by solving the initial function.
This question is based on curve translation on x-axis. But, there can be questions asked on translation in both axes, rotation of curve about origin, or both combined.
Initial function f(x) is a straight line from picture.
Common equation of straight line is
m= slope of the line
c= y-intercept
Slope of the line:
Let those points on graph be A(3,0) and B(0,-6)
Therefore, slope of line AB, using formula is:
m=2
And c=(-6)
And equation of line AB is:
Now this line is translated backwards by 2 units, (x) becomes (x+2)
Let us consider a X, such that,
Now, there is another function such that,
; according to your question.
In the picture, they are asking for a function,
Then, ; according to the picture.
Here, I have attached a file showing all the graphs for clear understanding.
