Answer: k ≥ -1
Step-by-step explanation:
7k - 2 ≥ -9
add two to both sides
7k ≥ -7
k ≥ -1
Answer:
X=3.666666666666667
Step-by-step explanation:
The way i did this is by putting
2/12=X/22.
You then cross multiply and get
12x= 44
And 44/12 = 3.666666666666667
Hope this helps!
Answer:
The graph of given function is shown below.
Step-by-step explanation:
The parent natural logarithmic function is

The given function is

It means
.... (1)
The translation is defined as
.... (2)
Where, k is stretch factor, a is horizontal shift and b is vertical shift.
If 0<k<1, then the graph compressed vertically by factor k and if k>1, then the graph stretch vertically by factor k.
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
On comparing (1) and (2) we get

It means the graph of parent function shifts 5 units up to get the graph of given function.
Table of values:
x y
0.25 3.614
0.5 4.307
1 5
2 5.693
Plot these points on a coordinate plane connect then by a free hand curve.
The graph of given function is shown below.
An independent variable doesn’t have to rely on another variable. A dependent variable relies on the variable of another, and will change depending on it.