DENSITY =MASS/VOLUME
OR MASS = DENSITY X VOLUME
DENSITY =1.5 g/ml AND VOLUME = 10 ml
MASS = 1.5 x 10 = 15 g
Answer:
Step-by-step explanation:
Hey there!
so answer for (A is 1)
Answer for (B is 100)
Thank you have fun!
There are 6 numbers from 0 to 199 who have 3 factors. These numbers are:-
- 4( factors-1,2,4)
- 9(1,3,9)
- 25(1,5,25)
- 49(1,7,49)
- 121(1,11,121)
- 169(1,13,169).
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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
