Answer:
Where is the equation
Step-by-step explanation:
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:
distance apart= 9 miles
Step-by-step explanation:
The library , post office and gas station are all on elm street. The library is 3 miles away westward of the post office. The gas station is also 6 miles east of the post office. The distance between the library and the gas station can be computed below.
The post office is located at the middle between the library and the gas station. The library goes 3 miles westward of the post office while the gas station goes 6 miles eastward of the post office. The distance apart between the library and the gas station is the sum of the distance of the gas station from the post office and the distance of the library from the post office .
Therefore,
6miles + 3 miles = 9 miles
5^(x+3)=25^(x-2)
Apply the exponent rule ( 5 ^2 = 25, so remove the 5 and replace 25?with 2)
x + 3 = 2(x-2)
Simplify:
X + 3 = 2x -4
Add 4 to both sides:
X + 7 = 2x
Subtract x from both sides
X = 7
Answer: x = 7
Answer:
false
Step-by-step explanation:
rational and set of intergers is out of place
