A store has two types of animal feed available. Type A contains 2 pounds of oats and 5 pounds of corn per bag. Type B contains 7 pounds of oats and 3 pounds of corn per bag. A farmer buys both types and combines them so that the resulting mixture has at least 70 pounds of oats and at least 75 pounds of corn. The
store only has 30 bags of type A feed and 20 bags of type B feed in stock. Let x be the number of type A bags purchased. Let y be the number of type B bags
purchased. Shade the region corresponding to all values of x and y that satisfy these requirements.

ID.K

GOOD MORNING ⭐

HAVE A NICE DAY

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation:

the graph in the attached figure

step-by-step explanation:

we have

using a graphing tool

the graph in the attached figure

the roots are ( x-intercepts) x=-0.5,x=1,x=3

the y-intercept is the point (0,3)