X + y = 10 x - y = 2
2 answers:
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The transformed function is y = 1/3(log(x/3 + 4)) + 1
<h3>How to transform the logarithmic function?</h3>The parent logarithmic function is
y = log(x)
When shifted left by 4 units, we have:
y = log(x + 4)
When shifted up by 3 units, we have:
y = log(x + 4) + 3
When compressed vertically by 1/3, we have:
y = 1/3(log(x + 4) + 3)
This gives
y = 1/3(log(x + 4)) + 1
When stretched horizontally by 3, we have:
y = 1/3(log(x/3 + 4)) + 1
Hence, the transformed function is y = 1/3(log(x/3 + 4)) + 1
<h3>The transformation of function f(x)</h3>We have:
f(x) = log[-(x – 5)] + 4
Set the radicand greater than 0
-(x - 5) > 0
Divide by -1
x - 5 < 0
Add 5 to both sides
x < 5 -- this represents the domain
A logarithmic function can output any real number.
So, the range is
In the domain, we have:
x < 5
This means that the interval of decrease is
Rewrite as an equation
x = 5 --- this represents the equation of asymptote
Read more about logarithmic functions at:
#SPJ1
Answer:
15 3/4
Yes
Step-by-step explanation:
Given that :
8 boxes = 16 1/4 cups
Required cup of concentrated juice per day = 2 1/4 cups
Total cups that will be required for the entire 7 days :
Number of cups per day * number of days
2 1/4 * 7
= 15 3/4 cups
Since 8 boxes = 16 1/4 ; then 8 boxes will be enough
The number of applicants is 20.
a).The number of ways 20 applicants can be split into two jobs is a question of combination as arrangment is not a necessity in this problem.
b).The number of ways in which 20 applicant can be split into these two jobs categories can be determined as,
Thus, there will be 21 ways in which the jobs can be split into these two categories.
