Last week Jessica beat Emily at checkers in 20% of their matches Emily won 12 matches how many matches did Jessica win

Given:

Last week Jessica beat Emily at checkers in 20% of their matches.

Emily won 12 matches.

To find:

Number of matches Jessica win.

Solution:

Let x be the total number of matches.

Jessica won = 20% of x

                     =

                     =

Emily won 12 matches. So, the total matches is equal to the sum of their matches.

Total number of  matches is 15. So, number of matches won by Jessica is:

Therefore, Jessica won 3 matches.

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

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.