2 1/4 + 1 1/6 = 3 1/12
5 - 3 1/ 12 = 1 11/12 is how much it grew in the second year.
" the difference " means subtract
3(n - 7) = 18
3n - 21 = 18
3n = 18 + 21
3n = 39
n = 39/3
n = 13 <== ur number
(x) basically means y, and f'(x) means dy/dx. The x can have a value, so for example, f(x) = 2x + 1, then f(1) = 3.
Answer:
C) 0 ≤ x ≤ 25
Step-by-step explanation:
We are supposed to find a reasonable constraint so that the function is at least 300 i.e. the value of x at which f(x) is greater or equal to 300
A)x ≥ 0
Refer the graph
At x = 0
f(x)=300
On increasing the value of x , f(x) increases but at x = 12 it starts decreasing
So, x ≥ 0 can also have f(x)<300
So, Option A is wrong
B)−5 ≤ x ≤ 30
At x = -5
f(x) = 100
So, Option B is wrong since we require f(x) is greater or equal to 300
c)0 ≤ x ≤ 25
At x = 0
f(x)=300
At x = 12 , it starts decreasing
At x = 25
f(x)=300
So, The value of f(x) is at least 300 when 0 ≤ x ≤ 25
D)All real numbers
At x = 30
f(x)=0
But we require f(x) greater or equal to 300
Hence Option C is true
Answer:
y = -1/3x -2
Step-by-step explanation:
Slope intercept form of a line is
y= mx+b
We need to solve for y
1/3x +y = -2
Subtract 1/3x from each side
1/3x -1/3x +y =-1/3x -2
y = -1/3x -2