We look for the minimum of each function.
For f (x) = 3x2 + 12x + 16:
We derive the function:
f '(x) = 6x + 12
We match zero:
6x + 12 = 0
We clear the value of x:
x = -12/6
x = -2
We substitute the value of x in the equation:
f (-2) = 3 * (- 2) ^ 2 + 12 * (- 2) + 16
f (-2) = 4
For g (x) = 2sin(x-pi):
From the graph we observe that the minimum value of the function is:
y = -2
Answer:
A function that has the smallest minimum y-value is:
y = -2
Answer:
c/d = 6
Step-by-step explanation:
Use the second equation.
c - 6d = 0
Add 6d to both sides.
c = 6d
Divide both sides by d.
c/d = 6
Answer:
discount=MP-SP
=Rs420-Rs405
=Rs15
Step-by-step explanation:
Answer:
30
Step-by-step explanation:
(n+8)=2(7+8)=2(15)=30
Since, the population of a town increased from 5,400 to 6,000 people. We have to calculate the percent of increase.
Firstly, we will find the difference of 6000 and 5400,
6000-5400 = 600
Secondly, we will divide 600 by 5400,
So,
= 0.1111
Thirdly, we will multiply 0.1111 by 100%
= 11.11 %
Therefore, there is 11.11% increase in the population of a town.