Answer:
the last one
Step-by-step explanation:
1.
"The spending limit on John’s credit card is given by the function f(x)=15,000+1.5x"
means that if the monthly income of John is $ 5,000 ,he can spend at most
f(5,000)=15,000+1.5*5,000=15,000+ 7,500=22, 500 (dollars)
Or for example
if Johns monthly income is $8,000, then he can spend at most
f(8,000)=15,000+1.5*8,000=15,000+ 12,000=27,000 (dollars)
2.
Now, assume that the maximum amount that John can spend is y.
Then, y=15,000+1.5x
we can express x, the monthly income, in terms of y by isolating x:
y=15,000+1.5x
1.5x = y-15,000
X=y-15,000/1.5
thus, in functional notation, x, the monthly income, is a function , say g, of variable y, the max amount:
X=g(y) y-15000/1.5
since we generally use the letter x for the variable of a function, we write g again as:
G (x) x-15000/1.5
tells us that if the maximum amount that John can spend is 50,000 $, then his monthly income is 23,333 $.
3.
If John's limit is $60,000, his monthly income is
G(600,000)=60,000-15,000/ 1.5=45,000/1.5 =30,000
dollars.
Answer: $ 30,000
Remark: g is called the inverse function of f, since it undoes what f does.
instead of g(x), we could use the notation
Answer:
5,18,12 cms are the answer.
Step-by-step explanation:
Given is a triangle ABC. Point D is the centroid.
E,F and G are midpoints of CB, BA and AC respectively.
AE, BF and CG are medians of the triangle.
We know that centroid divides the median in the ratio 2:1
Using this we find that AD:DE = 2:1
Or AD+DE:DE = (2+1):1
AE:DE =3:1
15:DE = 3:1 . Hence DE =5 cm.
On the similar grounds we find that DF = 1/3 BF = 9
Hence BD = DF-BF = 27-9 =18 cm
and also
CG = 3/2 times CD = 12 cm.
