Question 1(Multiple Choice Worth 4 points) (07.05A)

NEED HELP FAST!!
Which of the following has a graph that is a straight line?

Equation 1: y = 4x3 + 6
Equation 2: y = 5x − 4.5
Equation 3: y2 = x − 1
Equation 4: y = 2x2 + 6

Equation 2: y= 5x - 4.5

Step-by-step explanation:

This is a correct linear function. I would think this equation is linear because it goes by the f(x)=mx+b formula.

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

add 5 subtract 1

step-by-step explanation: