Answer:
Step-by-step explanation:
We want to rewrite
in the form that would most easily help you identfiy the zeros of the function.
This the same as writing in factored form.
Factor by grouping:
Factor further to get:
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:
25 pounds of mix A
10 pounds of mix B
Step-by-step explanation:
Each pound of mix A takes half a pound of peanuts and each pound of mix B takes one fourth of a pound of peanuts. Total peanuts consumption is:
Each pound of mix A takes half a pound of almonds and each pound of mix B takes three fourths of a pound of almonds. Total almonds consumption is:
Solving the linear system:
In order to exactly use all of your ingredients, you should make 25 pounds of mix A and 10 pounds of mix B
Answer:
2/9, because it is 2 divided by 9. i think this is correct
Step-by-step explanation:
Answer:
To divide by (x+1) in synthetic division, you divide by -1.
-1 1 -7 4 12
-1 8 -12
—————————-
1 -8 12 0
This gives us x^2 -8x +12x which factors to (x-2) (x-6). We still have the factor of (x+1) so the zeros will be 2, 6, and -1.
Step-by-step explanation: