Gianna used two refrigerators, each set to a different temperature, to cool two cups of hot liquid. She placed the first cup in refrigerator A. The temperature, in degrees Fahrenheit, of the liquid in this cup, after x minutes in the refrigerator, is represented by the graphed function.

She placed the second cup in refrigerator B. The temperature, in degrees Fahrenheit, of the liquid in this cup is represented by an exponential function that has a y-intercept of 96 and approaches 38 as x increases.

When Gianna initially placed the two cups in the refrigerators, the liquid placed in refrigerator A was than the liquid placed in refrigerator B.
The of the two functions implies that refrigerator A is set to a temperature than refrigerator B.

The answers are

1). warmer

2). higher

3). end  behavior

When Gianna initially placed the two cups in the refrigerators, the liquid placed in refrigerator A was warmer than the liquid placed in refrigerator B.

The end  behavior of the two functions implies that refrigerator A is set to a

higher temperature than refrigerator B.

The graph for the  question

miboThe answers are

1). warmer

2). higher

3). end  behavior

Step-by-step explanation:

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:

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.