First: f(2) is same as f(x=2) so all we have to do is to express x=2 in f(x)
f(2) = 3*2 + 2 = 8
Second
f^(-1) (3) is inverse function. first we solve f(x) for x.
let f(x) be equal to some variable m
m = (2x -7)/3
3m = 2x - 7
2x = 3m + 7
x = (3m + 7)/3
now we write:
f^-1(x) = (3x + 7)/3
x=3
f^-1(3) = 16/3
Third
2y + 14 = 4y - 2
we just solve for y
2y = 16
y = 8
Now we take that f(x) = y because we both write to be the functions of x
that means that First and third have same result.
Answer:
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Answer:
an exponential function
Step-by-step explanation:
An exponential function has the characteristic that it increases by a constant factor when the independent variable increases by a constant increment. The function you describe is an exponential function.
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It can be written in the form ...
f(t) = f(0)·2^(t/d) . . . . . where d is the doubling time
Answer: 0.24 +/- 0.088 = (0.152, 0.328)
Step-by-step explanation:
The point estimate p is given by;
p= 24/ 100 = 0.24
Z value for 96% confidence interval is 2.05
The solution for the given confidence interval is derived using the equation
p +/- z√(pq/n)
Where p = 0.24 q= 1-p = 0.76, n=100 z= 2.05
= 0.24 +/- 2.05√(0.24×0.76/100)
= 0.24 +/- 2.05(0.0427)
=0.24 +/- 0.088
= ( 0.152, 0.328)
Answer:
Step-by-step explanation:
<em>Step 1: Determine quantity per liquid</em>
liquid 1=7/8 cup
liquid 2=9/10 cup
<em>Step 2: Derive expression to calculate total amount of mixture</em>
The expression below can be derived;
T=a+b
where;
T=total amount of mixture
a=total amount of liquid 1
b=total amount of liquid 2
In our case;
a=7/8 cup
b=9/10 cup
replacing;
T=(7/8)+(9/10)=1 31/40 cups
The total amount of mixture=1 31/40 cups