Answer:
c
Step-by-step explanation:
the function (x) = -3x+2 can be obtained by :
* stretching the function (x)=x in the y-axis by 3 units gives 3x
* then reflecting about x-axis gives -3x
* finally shifting it up by 2 units gives -3x+2
so the parent function is f(x) = x
Answer:
solved
Step-by-step explanation:
Mean = 12
SD = 2
Answer to part 2) Less than 7 months
P(x < 7)
P(x < 7) = P(z < (7-12)/2) = P(z < -2.5)
This probability can be obtained by referring to the Z table
Thus P(x < 7) = 0.0062
1) Between 7 and 12 months
P(7 < x < 12) = P( x< 12) - P(x < 7)
We have P(x < 12) = 0 ......[because mean = 12]
and P(x < 7) = 0.0062 ...[this we got is part a]
Thus on plugging these values we get
P( 7 < x < 12) = 0.5 - 0.0062 = 0.4938
Thus P(7 < x < 12) = 0.4938
3
Answer:
The correct option is 1.
Step-by-step explanation:
The given parent function is

1. Domain of the function is all positive real number including 0.
2. Range of the function is all positive real number including 0.
3. It is an increasing function. It increases at decreasing rate.
First graph increase at decreasing rate and it starts from (-4,-1), therefore the required function is

Therefore graph 1 is an example of a function whose parent graph is of the form y = √x.
Second graph is a parabola, so it is the graph of a quadratic function.
Third graph is a rectangular hyperbola, so it is the graph of a rational functions.
Fourth graph is increasing at increasing rate, so it is the graph of an exponential function.
Therefore options 2, 3 and 4 are incorrect.
Answer:
54.5 
Step-by-step explanation:
divide it to one rectangle and two different triangles.
Rectangles area: (8+3)*4 = 44
triangle top: 4*3/2 = 6
triangle bottom: 3*3/2= 4.5
sum the all up: 44+6+4.5 = 54.5
don't know how to do it with π though if that's obligatory