For which value(s) of x will the rational expression below equal zero? check all that apply.
a.5
b.1
c.-2
d.-1
e.-5
f.2

x = 5 and -2

Step-by-step explanation:

Given the function of x to be;

f(x) = (x-5)(x+2)/x+1

The value of x that will make the function zero can be calculated for by equating the given function to zero first to have;

If f(x) = 0, then;

(x-5)(x+2)/x+1 = 0

Cross multiplying;

(x-5)(x+2) = 0

(x-5) = 0 and x+2 = 0

x = 5 and x = -2

The value of x that will make the function zero is therefore 5 and -2

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

1,918

step-by-step explanation: