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Aliun [14]
3 years ago
14

Plz help me and plz show work

Mathematics
2 answers:
s2008m [1.1K]3 years ago
6 0
Y=400x and the Y intercept would be 0
Lana71 [14]3 years ago
5 0
There is no y intercept since there are no points on y axis so?
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Inverse Function In Exercise,analytically show that the functions are inverse functions.Then use the graphing utility to show th
Anna [14]

Step-by-step explanation:

We need to show whether

f^{-1}(x) = g(x)

or

g^{-1}(x) = f(x)

so we'll do either one of them,

we'll convert f(x) to f^-1(x) and lets see if it looks like g(x).

f(x) = e^x - 1

we can also write it as:

y = e^x - 1

now all we have to do is to make x the subject of the equation.

y+1 = e^x

\ln{(y+1)} = x

x=\ln{(y+1)}

now we'll interchange the variables

y=\ln{(x+1)}

this is the inverse of f(x)

f^{-1}(x)=\ln{(x+1)}

and it does equal to g(x)

g(x)=\ln{(x+1)}

Hence, both functions are inverse of each other!

This can be shown graphically too:

we can see that both functions are reflections of each other about the line y=x.

4 0
3 years ago
Determine x if f(x)=60 explain your choice.
mihalych1998 [28]

Answer:

x=60

Step-by-step explanation:

since f(x) =60 then y is f(x) and in the form y=x 60 is x

3 0
2 years ago
The explicit formula for an arithmetic sequence is an = 20 + (n − 1)(2). What is the 200th term?
Andrews [41]

Answer:

a_{200}=418

Step-by-step explanation:

The explicit formula for an arithmetic sequence is given by :

a_n=20+(n-1)2 ...(1)

We need to find the 200th term of the sequence.

Put n = 200 in equation (1)

a_{200}=20+(200-1)2\\\\=20+199\times 2\\\\=418

So, the 200th term of the sequence is 418.

7 0
2 years ago
Katie wants to know how much she needs to deposit into a two year CD account in order to earn $100 in simple interest. The accou
sergey [27]

Answer:

To obtain $ 100 in simple interest with a rate of 1.5%, Katie must deposit $ 6,666.66.

Step-by-step explanation:

Given that Katie wants to know how much she needs to deposit into a two year CD account in order to earn $ 100 in simple interest, knowing that the account currently has a 1.5% interest rate, the following calculation must be performed:

X x 0.015 = 100

X = 100 / 0.015

X = 6,666.66

6,666.66 x 1.015 = 6,766.66

Thus, to obtain $ 100 in simple interest with a rate of 1.5%, Katie must deposit $ 6,666.66.

7 0
2 years ago
Graph the function.<br><br> H(x) = 6 • (4/3)^x
Aloiza [94]

Answer:

Step-by-step explanation:

8 0
3 years ago
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