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lidiya [134]
3 years ago
7

Consider the functions f(x) = (4/5)^x and g(x) = (4/5)^x + 6. What are the ranges of the two functions?

Mathematics
1 answer:
Nataliya [291]3 years ago
3 0
Answers:
The number 0 goes in the first blank for f(x)
The number 6 goes in the second blank for g(x)

----------------------------------------------------------------------------------

Explanation:

As x gets larger and larger, the expression (4/5)^x will get smaller and smaller. What's going on is that we are repeatedly multiplying (4/5) with itself over and over if we assume x is some whole number. For example, if x = 100, then we'll have 100 copies of (4/5) multiplied out. Each time we multiply by (4/5), the result gets smaller. 

The results will approach 0 but not actually get there. So this is why f(x) has the horizontal asymptote y = 0. The function values f(x) will essentially be the set of positive y values, in other words, y > 0. This covers the range for f(x). To get the range of g(x), we add 6 to the range of f(x). This is because everything on g(x) is a vertical shift upward of 6 units. 

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Plz, help me with this question!
Sever21 [200]

Answer:

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Step-by-step explanation:

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4 0
3 years ago
What is the answers of 6b and 6c?
Dimas [21]
Hello,

6b) (i) As you can see, in the first year the price drops from 27,000 to 17,000. (Look at year 0-1 on the x axis). To find the percentage drop, find the difference between the two values and divide it over the initial value of 27,000.

So, the percentage drop in the first year is:
(27000-17000) / (27000) = 0.37, or a 37% drop

The answer is 37%.

(ii) For this question, we basically have the same process as the previous question except for the second year.

From year 1 to year 2, the value starts at 17,000 and ends at 15,000.
To find the percentage drop, we do:
(17000 - 15000) / (17000) = 0.118 ≈ 0.12, or a 12% drop

The answer is 12%.

6c) To find the percentage depreciation over the first 5 years, we look at the initial value (x = 0) and the value after 5 years (x = 5), and use these values in the same percentage formula we have been using.

The initial value of the car is 27,000, and after 5 years the value is 8,000. 
This is a percentage drop of (27000 - 8000) / (27000) = 0.70, or a 70% drop.

The answer is 70%.

Hope this helps!


7 0
3 years ago
_______ + 8r2s4 – 3r3s3
Leno4ka [110]
You could say 8r+2 times s +4 or –5x2y4
5 0
3 years ago
What is the solution to this system of equations?
BaLLatris [955]
The answer is B
X = 3 and 1/2= Y
3 + 2(1/2) = 4
3 + 1 = 4
Half of 2 = 1, making B the answer
6 0
3 years ago
Read 2 more answers
-7-5x+5x+7 simplified​
AysviL [449]

Answer:

0

Step-by-step explanation:

adding -7 to 7, since they are both constants (no variable) gives you 0. Adding -5x and 5x since they both have an x term gives you 0x also written as 0 (0*any number is 0). this gives you a final answer of 0

4 0
3 years ago
Read 2 more answers
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