Youwhich graph represents the function f (x) = 0.2^x + 3

Upper right corner

The base 0.2 is between 0 and 1, which means that we have a decaying exponential function. The curve will go downhill as you read from left to right. If the base were larger than 1, then we'd have an exponential growth function.

If you plugged in x = 0, then you'd get

y = 0.2^x + 3

y = 0.2^0 + 3

y = 1 + 3

y = 4

So the point (0,4) is on this graph. Only the upper right corner fits the description that it both decays and it has (0,4) on the curve.

56

step-by-step explanation:

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