List the vertices in R2 of the convex region defined by Ax ≤ b and x > 0 where A = 3 and b = 5 9 (A) (2,3), (2, 2). (2.0), (0,0), (0,4) (D) (3,2). (). (2,0), (0,0), (0, 3) (G) (3,2), (3, 2), (2.0), (0,0), (0, 3) (B) (3,2), (2), (2.0), (0,0), (0,4) (C) (3,2), (2, 2), (2.0), (0,0), (0.4) (E) (2, 3). (.). (2.0), (0.0), (0,4) (F) (2,3), (2, 2), (2.0), (0,0), (0, 3) (H) (2,3), (2), (2.0), (0,0), (0, 3)

2. Is there a linear map from R³ to R³ such that T(1,3,0) = (0,0,0) and T(-2,0,0) = (0,0,0) and T(3, 7, 1) = (3, 2, -3)?

Determine whether the following sets are linearly dependent or linearlyindependent. (a) {(; )( )} . -9} in Maxa(R) 4 (b) {(- ).(- 9G -)} in M2x2(R) 4 (c) {x 3 + 2x2, -x2 + 3x + 1, x3 – x2 + 2x – 1} in P3(R) (d) {x 3 – x, 2x2 + 4, -2x3 + 3x2 + 2x + 6} in P3(R) (e) {(1, -1, 2), (1, -2, 1), (1, 1, 4)} in R3 (f) {(1, –1, 2), (2, 0, 1), (–1, 2, –1)} in R3 {(÷ ) ( -) (; 0. 2 ).(- )} in Max2(R) (g) (m) {(-; ') (? ). -2)} in M2x2(R) () (x 4 - х3 + 5x2 - 8х + 6, -х4 + х3 - 5х2 + 5х - 3, x 4 + 3x2 – 3x + 5, 2x4 + 3x3 + 4x2 – x + 1, x3 – x + 2} in P4(R) ) (x4 - х3 + 5x2 - 8х + 6, -х4 + x3 - 5x2 + 5х - 3, х4 + 3x2 - 3х + 5, 2х4 + х3 + 4x2 + 8х} in P4(R)

What’s the area of the Triangle

The value y (in 1982–1984 dollars) of each dollar paid by consumers in each of the years from 1994 through 2008 in a country is represented by the ordered pairs. (1994, 0.677)         (1995, 0.655) (1996, 0.639)         (1997, 0.618) (1998, 0.609)         (1999, 0.605) (2000, 0.580)         (2001, 0.565) (2002, 0.557)         (2003, 0.542) (2004, 0.531)         (2005, 0.516) (2006, 0.499)         (2007, 0.478) (2008, 0.461)            (a) Use a spreadsheet software program to generate a scatter plot of the data. Let t = 4 represent 1994. Do the data appear linear? Yes or No    (b) Use the regression feature of the spreadsheet software program to find a linear model for the data. (Let t represent time. Round your numerical values to four decimal places.) y =      (c) Use the model to predict the value (in 1982–1984 dollars) of 1 dollar paid by consumers in 2010 and in 2013. (Round your answers to two decimal places.) 2010     $  2013 $  Discuss the…

). 4. Rectangle DEFG with vertices D(-4, 3), E(O, 2), F(-2, -6), and G(-6, -5): (x, y) (x+ 4, y + 1) D'( E'( . F' G' - onent form. 7. OGina Wison (AI Things Algebra, LLC). 2015-2018

11 Square ABCD with vertices A(-4,3), B(-2,3), C(-2,1), and D(-4,1) using a scale factor of k = 3 and centered at P(-7,5). Find coordinate C'. Coordinate C' -

4. (a) Are the points u = independent? (1, 2, 3), v = (-1,0, 1) and w = (5, 4, 3) linearly (b) If not, exhibit one of these points which is a linear combination of the rest.

2. Triangle ABC with vertices (0, 7), B(7, 3), and C(1, 4): (x, y) → (x – 3, y – 4) A' (_ , B’(__ C' (_ 111