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3 years ago

What are the first four terms of the sequence given by the formula below an=-2n+4

2 answers:

7 0

An = -2n + 4 ; where n is the sequence number or order.

a1 = -2(1) + 4
a1 = -2 + 4
a1 = 2

a2 = -2(2) + 4
a2 = -4 + 4
a2 = 0

a3 = -2(3) + 4
a3 = -6 + 4
a3 = -2

a4 = -2(4) + 4
a4 = -8 + 4
a4 = -4

So the first four terms of the sequence are: 2, 0, -2, -4

Verdich [7]3 years ago

5 0

The answer is:

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Answer:

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4 years ago

Venice cycled for 8.45pm to 2.15am how long did she cycle for

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Step-by-step explanation:

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3 years ago

The spending limit on John’s credit card is given by the function f(x)=15,000+1.5x , where x is his monthly income. f^-1x . The

Katena32 [7]

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

 $x= \frac{y-15,000}{1.5}$

thus, in functional notation, x, the monthly income, is a function , say g, of variable y, the max amount:

 $x=g(y)=\frac{y-15,000}{1.5}$

since we generally use the letter x for the variable of a function, we write g again as:

$g(x)=\frac{x-15,000}{1.5}$

for example :

 $g(50,000)=\frac{50,000-15,000}{1.5}= \frac{35,000}{1.5}= 23,333$

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

 $g(60,000)=\frac{60,000-15,000}{1.5}= \frac{45,000}{1.5}=30,000$ 
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 $f ^{-1}(x)$

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Cerrena [4.2K]

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