Which of the following is the value of a when the function f(x)=3|xl is written in the standard form of an absolute value
1 answer:
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Answer:
The Exponential function is
And the polynomial function is
And, we have to find the value of x for which, exponential function exceeds the polynomial function which can be written as
1. When , x= -1
LHS
RHS
2. When , x=0
L HS
RHS
3. When ,x= 0.5
L HS
RHS
4. When , x=2
LHS
RHS
The Minimum value for which exponential function exceeds the polynomial function is , x= 0.5
But,there is other value for which exponential function exceeds the polynomial function is , x=2.
Answer:
a) In the interval of [1980,1983].
b) In the interval of [1991, 1996].
Step-by-step explanation:
Fuel efficiency:
The fuel efficiency, for the cars, in x years after 1980, is given by:
15.9 is the fuel efficiency in 1980.
a. In what years was the average fuel efficiency for cars less than 17 mpg (in interval form)?
From 1980 to:
3.06 = 1980 + 3 = 1983. So
In the interval of [1980,1983].
b. In what years was the average fuel efficiency for cars more than 20 mpg (in interval form)?
From x until 1996.
11.38 = 1980 + 11 = 1991. So
In the interval of [1991, 1996].
For this case we have the following expression:
Rewriting the numbers within the roots we have:
Then, by properties of powers we have:
Then, by radical properties we have:
Rewriting the expression we have:
Finally, adding similar terms we have:
Answer:
The simplified form of the expression is: