The function f(x) and g(x) are described using the following equation and table: f(x)=-4(1.09)^x

x -4 -2 0 2
g(x) -10 -7 -4 1

Which equation best compares the y-intercepts of f(x) and g(x)

The y-intercept of f(x) is equal to the y-intercept of g(x)
The y-intercept of f(x) is equal to 2 times the y-intercept of g(x)
The y-intercept of g(x) is equal to 2 times the y-intercept of f(x)
The y-intercept of g(x) is equal to 2 plus the y-intercept of f(x)

The y-intercept of f(x) is equal to the y-intercept of g(x)

Step-by-step explanation:

The y-intercept of a function is the value of the function (the value of y) when x = 0. So, it is the value of y at which the function touches the y-axis.

Here we have two functions. The first function is:

In order to find its y-intercept, we have to substitute x = 0 into the function and see the output. Doing so, we get:

The second function that we have instead is given by the table:

x -4 -2 0 2

g(x) -10 -7 -4 1

In order to find its y-intercept, we look at the table and we see the value of g(x) when x = 0. This is given by the 3rd point: when x = 0, then

So the correct answer is

The y-intercept of f(x) is equal to the y-intercept of g(x)

the value of v.w= -12.

step-by-step explanation:

we are given three vector r,v and w as:

r = < 5, -5, -2> ; v = < 2, -8, -8> ; w = < -2, 6, -5>

we know that r,v and w could also be represented as:

r=5i-5j-2k

v=2i-8j-8k

and w= -2i+6j-5k

where i,j and k are the unit vectors of x,y and z-axis respectively.

also we know that it has the following property:

i.i=1 ; j.j=1; k.k=1

and i.=j.i=i.k=k.i=j.k=k.j=0

i.e. when we multiply two vectors or we find it's dot product we need to only multiply the components of x coordinates with each other; y with each other and z with each other.

hence, v.w= (2i-8j- -2i+6j-5k)

                  = 2×(-2)+(-8)×(6)+(-8)×(-5)

                  = -4-48+40

                  = -12

hence, v.w= -12

42

step-by-step explanation: