Answer:
A prime number is a number with exactly two factors. A prime number is only divisible by 1 and itself. Another way to think of prime numbers is that they are only ever found as answers in their own times tables.
Step-by-step explanation:
Answer:
a). Fixed cost = $800
b). The cost for 25 items is $1050
c).Range = 150
Domain g(x) = 150
Step-by-step explanation:
The cost in dollars of making x item is given by the function C(x)=10x+800.
The fixed cost is when x= 0
Fixed cost
C(0)= 10(0) +800
C(0) = 0+800
C(0)= 800
Fixed cost = $800
The cost for 25 items
C(25) = 10(25)+800
C(25) = 250+800
C(25) = 1050
The cost for 25 items is $1050
If Maximum cost=$2300
C(x)=10(x) +800= 2300
Range of x
10(x) = 2300-800
10(x) = 1500
X= 1500/10
X= 150
Range = 150
Domain g(x) = 150
Answer:
The graph of h(x) is shown below.
Step-by-step explanation:
The given function is
![h(x)=7\sin x](https://tex.z-dn.net/?f=h%28x%29%3D7%5Csin%20x)
The general form of sine function is
![f(x)=a\sin(bx+c)+d](https://tex.z-dn.net/?f=f%28x%29%3Da%5Csin%28bx%2Bc%29%2Bd)
Where, a is amplitude, b is period, c is phase shift and d is vertical shift.
So, the amplitude of the given function is 7, period is 1, phase shift is 0 and vertical shift is 0.
It means the minimum value of function is -7 and maximum value is 7.
Therefore the points on the function are (0,0),
.
The graph of function is shown below.
area of rectangle= 8*13=104m^2
base of the Triangle= 13 -(4+4)=5
area of Triangle = 5*6/2=15m^2
area of shaded shape =104-15= 89m^2