Grace made tables of values to solve a system of equations. First, she found that the xvalue of the solution was between 0 and 1, and then she found that
it was between 0.5 and 1. Next, she made this table.
x
y=-4x+ 3
y = 3x - 1
0.5
1
0.5
0.6
0.6
0.8
0.7
0.2
1.1
0.8
-0.2
1.4
0.9
-0.6
1.7
1.0
-1
2
Which ordered pair is the best approximation of the exact solution?
O A. (0.6.0.7)
O B. (0.9, 1.0)
O C. (0.7,0.2)
OD. (0.5, 1.2)

w

Step-by-step explanation:

a

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

not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove. 

an inaccurate proof leads to errors, or stating results that are not accurate.  which wil mess the probelm up you dont want this