Answer:
C) Both functions are decreasing and both are positive on the interval (0;2)
Step-by-step explanation:
As known the exponent function has no minimum and has no maximum.
Otherwise exponent function can be only or increasing or decreasing for all x.
That means that in case y(x2)>y(x1) and if x2>x1- function is increasing.
That means that in case y(x2)<y(x1) and if x2>x1- function is decreasing.
Lets check what is going on with the function f(x)
If x1=0 f(x1)=24
If x2=2 f(x2)=0
So x2>x1 however f(x2)<f(x1)=> function is decreasing
Similarly g(x)
If x1=0 g(x1)=15
If x2=2 g(x2)=0
So x2>x1 however g(x2)<g(x1) => function is decreasing
So bothfunctions are decreasing.
Because f(x) is decreasing the function meaning with argument x1=0 has max in the interval x∈(0;2) And function meaning has the minimum if argument x2=2. So the function F(x) in interval (0;2) is changing from 24 to 0 => is positive on the interval (0,2)
The same is with g(x) . g(x) gonna be positive on the interval (0;2)
Answer:
526.39 million
Step-by-step explanation:
The exponential equation can be written as ...
p(t) = 471.56(492.53/471.56)^(t/10)
Then p(25) ≈ 525.75 . . . . million
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The closest answer choice is 526.39 million.
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<em>Comment on the answer choice</em>
Reverse-engineering the answer, we find it was computed using the exponential equation ...
p(t) = 471.56e^(0.0044t)
p(25) = 471.56·1.116278 ≈ 526.39
The k factor in the exponent is <em>inappropriately rounded</em> from 0.004350903. You cannot use a 2-significant-figure constant to arrive at an accurate 5-significant-figure answer.
Answer:
0.25
Step-by-step explanation:
hope that helps! ^w^
Answer: Stephen gets 42 lb
Step-by-step explanation:
1 = Richard
3 = Stephen
14:?
1 x 14 = 14
3 x 14 = 42
