Answer:
A.) gf(x) = 3x^2 + 12x + 9
B.) g'(x) = 2
Step-by-step explanation:
A.) The two given functions are:
f(x) = (x + 2)^2 and g(x) = 3(x - 1)
Open the bracket of the two functions
f(x) = (x + 2)^2
f(x) = x^2 + 2x + 2x + 4
f(x) = x^2 + 4x + 4
and
g(x) = 3(x - 1)
g(x) = 3x - 3
To find gf(x), substitute f(x) for x in g(x)
gf(x) = 3( x^2 + 4x + 4 ) - 3
gf(x) = 3x^2 + 12x + 12 - 3
gf(x) = 3x^2 + 12x + 9
Where
a = 3, b = 12, c = 9
B.) To find g '(12), you must first find the inverse function of g(x) that is g'(x)
To find g'(x), let g(x) be equal to y. Then, interchange y and x for each other and make y the subject of formula
Y = 3x + 3
X = 3y + 3
Make y the subject of formula
3y = x - 3
Y = x/3 - 3/3
Y = x/3 - 1
Therefore, g'(x) = x/3 - 1
For g'(12), substitute 12 for x in g' (x)
g'(x) = 12/4 - 1
g'(x) = 3 - 1
g'(x) = 2.
A histogram is better for "discrete" data and a frequency polygon is better for "continuous" data.
<h3>What is histogram?</h3>
A histogram is a data representation that looks like a bar graph and buckets a wide range of categories into columns all along horizontal x-axis.
- The numeric count or percentage of happenings in the data for every column is represented by the vertical y-axis.
- Columns can be employed to visualize data distribution patterns.
- Technical analysts use the MACD histogram in trading to making data in momentum.
- The MACD histogram columns could provide buy and sell signals earlier than the MACD and signal lines.
<h3>What is
frequency polygon?</h3>
Frequency polygons are a graphs depiction of the distribution that aids in data comprehension by utilizing a specific shape.
- Frequency polygons are comparable to histograms but are more beneficial when comparing two or more different data sets.
- The graph primarily displays cumulative frequency distribution data as a line graph.
- Frequency Polygons are a type of graph that deciphers information or data and are broadly used in statistics.
- This graphic form of data representation aids in the depiction of the data's shape and trend in a systematic and organized manner.
To know more about the histogram, here
brainly.com/question/2962546
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Answer:
-19
Step-by-step explanation:
It is a non repeating decimal
Answer:
Step-by-step explanation:
The right triangle has the hypotenuse = 18
Let 'Ф' be the missing angle
we know that
cos Ф = adjacent/hypotenuse
Here,
so
cos Ф = adjacent/hypotenuse
Therefore, the missing angle is:
Answer:
terminating
Step-by-step explanation:
it would be repeating if it said 72.72727272...
