a word problem with a constant, a coefficient, a variable, and a final amount…please…it’s 2am and I’m stressing

Henry had 12 cans of Xtreme diet soda, if he drinks 2 sodas each hour and ends up with 8 cans at the end of the day, how many hours did he drink?

Step-by-step explanation:

12-2h=y

y=8 and your final amount

h = hrs and your variable

12 is your constant! he only has 12 cans, which cannot change

2 is your coefficient, but you can change it to whatever you want

If you need clarification let me know!

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.

logv3(x+2)=1

rewrite in exponential form:

logb(x) = y is equal to b^y =x

b = 3, y = 1

now solve for x:

3^1 = x+2)

x = 3-2

x = 1

see the picture for the graph.