Hello from MrBillDoesMath!
Answer:
8 (3w^2 - 2)
Discussion:
The greatest common factor is 8, so
24w^2 - 16 = 8 (3w^2 - 2)
Thank you,
MrB
Answer:
Step-by-step explanation:
1) Cancle -60 on both sides.
2) Simplify 2x + 3x to 5x.
3) Since both sides are equal, there are infinitely many solutions.
<u>Therefor</u><u>,</u><u> </u><u>this</u><u> </u><u>equation</u><u> </u><u>has</u><u> </u><u>infinitely</u><u> </u><u>many</u><u> </u><u>solutions</u><u>.</u>
Answer:
Check the explanation
Step-by-step explanation:
kindly check the attached image below to Determine whether the given set S is a subspace of the vector space <u><em>(which is contained within a different vector space. So all the subspace is a kind of vector space in their own way, although it is also defined relative to some of the other larger vector space. The linear subspace is more often than not simply called a subspace whenever the situation serves to differentiate it from other types of subspaces.)</em></u> V.A
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)