100: 1,2,5,10,20,50,100
36: 1,2,3,4,6,6,9,12,18,36
60: 1,2,3,4,5,6,10,12,15,20,30,60
45: 1,3,5,9,15,45
96: 1,2,3,4,6,8,12,16,24,32,48,96
hope it helps!
I think the sabers are X=2 and X=-2
Answer:
So since the scale is 12 inches:5 feet, we have to divide 412 inches by 12 inches because 412 inches is the total length drawn on the scale drawing.
412/12 = 34.3
Then since each 12 inches equals 5 feet and we have 34.3 12x inches. We are just going to multiply 34.3 by 5.
34.3*5 = 171 and 2/3 feet is your actual length of the bus
Answer:
A.) gf(x) = 3x^2 + 12x + 9
B.) g'(x) = 2
Step-by-step explanation:
A.) The two given functions are:
f(x) = (x + 2)^2 and g(x) = 3(x - 1)
Open the bracket of the two functions
f(x) = (x + 2)^2
f(x) = x^2 + 2x + 2x + 4
f(x) = x^2 + 4x + 4
and
g(x) = 3(x - 1)
g(x) = 3x - 3
To find gf(x), substitute f(x) for x in g(x)
gf(x) = 3( x^2 + 4x + 4 ) - 3
gf(x) = 3x^2 + 12x + 12 - 3
gf(x) = 3x^2 + 12x + 9
Where
a = 3, b = 12, c = 9
B.) To find g '(12), you must first find the inverse function of g(x) that is g'(x)
To find g'(x), let g(x) be equal to y. Then, interchange y and x for each other and make y the subject of formula
Y = 3x + 3
X = 3y + 3
Make y the subject of formula
3y = x - 3
Y = x/3 - 3/3
Y = x/3 - 1
Therefore, g'(x) = x/3 - 1
For g'(12), substitute 12 for x in g' (x)
g'(x) = 12/4 - 1
g'(x) = 3 - 1
g'(x) = 2.
Given cost function is
c(x) = 
(20 ≤ x ≤ 400)
where x is the number of thousands of square feet
total revenue will be $0.2 million dollars per thousand square feet
Revenue is 0.2 millions per thousand square feet. we know x is the number of thousand of square feet
So R(x) = 0.2x
We know Profit = Revenue - Cost
P(x) = R(x) - C(x)
combine like terms
Profit function is
