Select all the expressions that are equivalent to -6(3x - 7). a.-18x - 7 b.4(3x + 5) - 2(15x - 11) c.2x - 7 - 5(4x - 7) d.4 - 10(3x - 7) e.6(3x + 7) f.-2(9x - 21)

Option b and option f

Step-by-step explanation:

-6(3x - 7) = -18x + 42 so we will check for of the given options if they are equal to this.

a. -18x - 7 ---> NO

b. 4(3x + 5) - 2(15x - 11) = 12x + 20 - 30x + 22

= -18x +42 ---> YES

c. 2x - 7 - 5(4x - 7) = 2x - 7 - 20x + 35

= -18x + 28 ---> NO

d. 4 - 10(3x - 7) = 4 - 30x + 70

= -30x + 74 ---> NO

e. 6(3x + 7) = 18x + 42 ---> NO

f. -2(9x - 21) = -18x + 42 ---> YES

Therefore, options b and f are equivalent to -6(3x - 7).

answer: evaluate the objective function at each vertex to determine which - and -values, if any, maximize or minimize the function. example: find the minimum value and maximum value of the objective function f ( x , y ) = 4 x + 5 y , subject to the following constraints