Answer:
2
Step-by-step explanation:
Answer:
3 ln 4 + 3 lna
Step-by-step explanation:
In (4a)^3
We know that ln x^y = y ln x
3 ln (4a)
We also know that ln (xy) = ln x + ln y
3( ln 4 + ln a)
3 ln 4 + 3 lna
Answer:
D
Step-by-step explanation:
Given that
f(x)=-2x – 1
g(x) = -1/2x+1/2
I The function f( g(x)) = x for all real x.
-2(-1/2X + 1/2) - 1
X - 1 - 1
X - 2
II. The function glAx)) = x for all real x.
- 1/2( -2X - 1 ) + 1/2
X + 1/2 + 1/2
X + 1
III. Functions fand g are inverse functions
Inverse of f(x)
Y = -2x - 1
X = - 2Y - 1
- 2Y = X + 1
Y = - 1/2X - 1/2
Therefore, none of the above answers is correct.
The correct answer is therefore D
Answer:
y<x+1 is inequality shown on graph.
Step-by-step explanation:
The graph shows representation of inequality,
Here, Line passes through points say, A(3,0) and B(0,1)
The slope of line is given by m=
m=
m=
m=
and Y-intercept is c=1
The equation of line is given by y=mx+c
y=x+1 is equation of line in graph.
To decide which side you are going to shaded area on the graph
Take test of origin.
If (0,0) is statisfy the equation then, shaded the graph towards the origin.
Let suppose,
Take, y<x+1
0<(0)+1
0<1
TRUE,
Therefore, y<x+1 is inequality shown on graph.
Answer:
12 customers are waiting each hour to enter the diner
Step-by-step explanation:
20 customers arrive each hour to the diner. 8 customers ocuppy the seats each hour, and 12 are left waiting outside.