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Darina [25.2K]
3 years ago
13

Write an inequality to represent the following statement.

Mathematics
1 answer:
harina [27]3 years ago
5 0
X<2.5

Don't forget to vote brainliest and follow me!!!
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The spending limit on John's credit card is given by the function f(t) = 15,000 + 1.57, where x is his monthly income. 1-13) $60
coldgirl [10]
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
5 0
3 years ago
Hey guys! Can you simplify this? Be sure to show your work so i know you aren't guessing! Also remember when you answer a questi
Svetlanka [38]

Answer:

x≤−11

Step-by-step explanation:

−99≥18x−9x

−99≥9x

−

​9

​

​99

​​ ≥x

−11≥x

x≤−11

5 0
2 years ago
Please help. I am doing a test and I do not understand what I am being asked.
Oksanka [162]

Answer:

one

Step-by-step explanation:

i have no idea what kind of test ur taking my guy but have fun

5 0
3 years ago
20 - (3 2/3 + 2 1/4 + 2 1/3) = ?
Alex777 [14]

Answer:

20-5 11/12= 9 11/12

Step-by-step explanation:

we do (3 2/3 + 2 1/4+ 2 1/3 )which is

           3 8/12.    2 3/12    2 4/12 (common denominator)

then add 3 8/12 and 2 3/12 and 2 1/3 to get 10 1/12 then we get 20- 10 1/12 to get a final answer of 9 11/12

5 0
3 years ago
AYLIN AHORRO 200 MAS SU HERMANO Y RECIBIERON CADA UNO 2400 DE BECA CON SUS AHORROS Y SUS BECAS LES ALCANZA JUSTO PARA COMPRAR EL
stich3 [128]
What’s the language is this
6 0
3 years ago
Read 2 more answers
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