The -4 will translate the graph of f(x) 4 units to the right.
Then the -2 before the x will stretch it vertically with factor 2, then reflect it in the y -axis.
Finally the + 5 will translate the graph 5 units vertically upwards
X + y = 4
x - y = -6
--------------add
2x = -2
x = -2/2
x = -1
x + y = 4
-1 + y = 4
y = 4 + 1
y = 5
solution is : (-1,5)
Answer: There will 486 bacteria in 31 hours.
Step-by-step explanation:
The population decay in bacteria is exponential.
Exponential function : 
, where A = initial population, b multiplication decay factor, t= time:
As per given:
Initial population: 
After 36 hours, population = 
Divide both sides by 120,000 we get
Taking natural log on both sides , we get
At x= 31,
Hence, there will 486 bacteria in 31 hours.
Answer:
The correct answer is C: 700 cm³
Step-by-step explanation:
V = l × w × h
V = 7 × 5 × 20
V = 7 × 100
V = 700
