There are no options, but I would assume that these sequences would be geometric: 16, -8, 4, -2, 1 -15, -18, -21.6, -25.92, -31.104, 625, 125, 25, 5, 1 can possibly be the correct ones.
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: See explanation
Step-by-step explanation:
I think your question isn't well written and that 234 was meant to be 2.34 and 112 was meant to be 1.12
Let the amount spent on tomatoes be x.
The information given in the question can then be used to form an equation as thus:
Apples + Peaches + Tomatoes = $9.63
(2.34 × $1.32) + (1.12 × $1.20) + x = $9.63
$3.0888 + $1.344 + x = $9.63
x = $9.63 - ($3.0888 + $1.344)
x = $9.63 - $4.4328
x = $5.1972
The amount spent on tomatoes will be $5.1972
Step-by-step explanation:
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