Answer:
The intial fee is $5
The equation to represent this is: y=12x+5
12 is the cost per hour x=hours y=total cost
Step-by-step explanation:
77-41=36
36/3=12
12*6=72
77-72=5
Answer:
x != -2, x^2 + 1, 1/5
Step-by-step explanation:
(a) It can be understood that nothing can divide 0
thus denominator cannot be 0 meaning x cannot be -2.
(-2 + 2) = 0
(b) y = sqrt(x-1)
inverse meaning we make x the subject
square both sides
y^2 = x - 1
y^2 + 1 = x
inverse = x^2 + 1
(c) composite function:
pass g(10) as domain of f
g(10) = 3, f(3) = 1/(5) = 1/5
All you do is multiply across. For example...
1/3 x 2/5
Multiply the numerators and denominators.
(1 x 2) / (3 x 5)
= 2/15
If you need to, you can simplify but in this case you don't have to.
I hope this helps love! :)
Part (1):
Volume of the rectangular prism can be calculated as follows:
volume = length * width * height
We are given the three dimensions, therefore, all we need to do is substitute in the above equation as follows:
volume = 10 * 6.5 * 8.3
volume = 539.5 cm³
Part (2):
Surface area of rectangular prism an be calculated as follows:
Surface area = 2(length*width) + 2(width*height) + 2(length*height)
Surface area = 2(10*6.5) + 2(6.5*8.3) + 2(10*8.3)
Surface area = 130 + 107.9 + 166
Surface area = 403.9 cm²
Hope this helps :)