Which solution makes the inequality 7 > x true
1 answer:
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Given:
The given functions are:
To find:
The transformations performed of f(x) to create g(x).
Solution:
The translation is defined as
.... (i)
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.
We have,
Using these two function, we get
...(ii)
On comparing (i) and (ii), we get
It means the graph of f(x) is vertically stretched with a scale factor of 3, shifts 5 units left and 2 units down to get g(x).
Therefore, the correct options are A and C.
Answer:
Step-by-step explanation:
The formula for simple interest I is
I = Prt, where
P = the principal (amount invested)
r = the interest rate per period and
n = the number of periods
In this problem, the interest rate is annual, so n = 1.
We must write the interest rate as a decimal fraction.
Let x = amount of each investment. Then
0.02x = interest at 2 %
0.07x = interest at 7 %
0.09x = interest at 9 %
0.18x = total interest