The line doesn’t appear to be moving, so I believe it’s just y=4.
So fuctions mean
if
f(x)=x+2 then if you put in 3 for x then
f(3)=3+2=5 so
if x=years after 2000
in 2020 then
2020-2000=20 so x=20
subsitute
f(20)=9204e^0.022(20)
e could be:
1. common base of logarithms (memorised to 15 decmals) 2.718281828459045
2. a computer notation exg if you have 3e11 that means 3 times 10^11
if it is 1
9240 times (2.718281828459045^(0.022 times 20))=( simplify exponent first) 9240 times (2.718281828459045^0.44)=9204 times 1.5527072185113=14291.1 or rounded to 14291
if it is 2
9204 times 10^(0.022 times 20)=9204 times 10^(0.44)=9204 times 254.491 rounded to 254
so the answer dependes on what e represents,
if e is:
1. common base of logarithms (memorised to 15 decmals) 2.718281828459045, then answer is 14291
2. a computer notation exg if you have 3e11 that means 3 times 10^11 =254
Answer:
1. y=2x+15
2. 45.5 min
Step-by-step explanation:
1. You find 2x by looking at the give rate of gallons (2) a min (x). This information is given in the word problem. This gives the equation of y=2x. But you already have 15 gallons in the pool, so you need to add the +15 at the end of the equation giving you y=2x+15.
2. Y is the total gallons. This is 106 gallons (given in the word problem). We are trying to solve for x (# of minutes to fill the pool). 106=2x+15. subtract 15 from both sides giving 91=2x. Divide both sides by 2 giving x=45.5. It will take 45.5 minutes to fill up the pool.
Total trip time: 7 3/4
time spent: 2/3
time left: total time - time spent
= 7 3/4 - 2/3
=31/4 - 2/3
by taking lcm:
= (63-8)/12
= 55/12
= if in decimals: 4.583
= if in mixed numbers: 4 7/12
so the time left is 4 7/12 hours
