Answer:
See explanations below
Step-by-step explanation:
Given the functions f(x)=2x+3 and g(x)=x^2-1
a. Find f(g(x))
f(g(x)) = f(x^2-1)
f(g(x)) = 2(x^2-1)+3
f(g(x))= 2x^2-2+3
f(g(x)) = 2x^2+1
Hence the composite function f(g(x)) is 2x^2+1
b) g(f(x)) = g(2x+3)
g(f(x) = (2x+3)^2-1
g(f(x)) = 4x^2+12x+9-1
g(f(x)) = 4x^2+12x+8
Answer:
Step-by-step explanation:
The angles are vertical since they form from two lines crossing at a point and they share a same vertex.
Vertical angles are equal so
Well since it gives you 2 gas stations it wants you to compare prices
Als gas station will be A
At-one will be B
since station A has $3.259/ gallon I assume
and B has $3.199/ gallon
just subtract them
so 3.259 -3.199 = 0.06
gas is less at station B noticeably costs less so thats your first answer
for the next one if you bought gallon of gas at the cheaper station you'd be saving $0.06/gallon since we got the difference from subtracting them.
The MOST accurate definition of standard deviation is the mean absolute deviation of the sum of the squared deviation from the average. Option 4
<h3>Definition of standard deviation</h3>
Standard deviation can be defined as a statistic tool that measures the dispersion of a dataset in relation to its mean and is calculated as the square root of the available variance of the set.
It is calculated as the square root of the given variance.
Thus, the MOST accurate definition of standard deviation is the mean absolute deviation of the sum of the squared deviation from the average.
Learn more about standard deviation here:
brainly.com/question/475676
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9.4 because the number after the firs decimal point is higher than 5
