Each statement that follows is either true (in all cases) or false (for at least one example). if false, construct a specific example to show that the statement is not always true. such an example is called a counterexample. if true, give a justification. a. if v1, v2, v3, v4 are in r4 and v is not a linear combination of v1, v2, v4 then {v1, v2, v3, v4} is linearly independent. b. if v1, v2, v3, v4 are in r4 and {v1, v2, v3} is linearly dependent then {v1, v2, v3, v4} is also linearly dependent. c. if v1, v2, v3, v4 are linearly independent vectors in r4 then {v1, v2, v3} is also linearly independent.

Demonstrate the proof of your new polynomial identity through an algebraic proof and a numerical proof in an engaging way! make it so the whole world wants to purchase your polynomial identity and can't imagine living without it! you must: label and display your new polynomial identity prove that it is true through an algebraic proof, identifying each step demonstrate that your polynomial identity works on numerical relationships create your own using the columns below. see what happens when different binomials or trinomials are combined. square one factor from column a and add it to one factor from column b to develop your own identity. column a column b (x − y) (x2 + 2xy + y2) (x + y) (x2 − 2xy + y2) (y + x) (ax + b) (y − x) (cy + d)

Select the correct answer. joshua likes to read. he read 6 books when he was 6 years old. every year he doubled the number of books he read the previous year. how many total books did he read between the ages of 6 and 10? a. 60 b. 90 c.186 d.187

Which table shows a proportional relationship between miles traveled and gas used?