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kogti [31]
3 years ago
10

Sam purchased a new car for $17,930. The value of the car depreciated by 19% per year. When he trades the car in after x years,

the car is worth no more than $1,900. Fill in the values of a, b, and c to complete the exponential inequality of the form a(b)x ≤ c that can be used to determine the number of years after which the car is worth no more than $1,900. use a(b)^x,=c
Mathematics
1 answer:
In-s [12.5K]3 years ago
5 0
What you must do in this case is to use the potential type function given in the problem:
 a (b) ^ x = c
 We have:
 new car for $ 17,930
 a = 17930
 The value of the car depreciated by 19% per year
 b = 1-0.19 = 0.81
 the car is worth no more than $ 1,900
 c = 1900
 the exponential inequality is:
 a (b) ^ x ≤ c
 17930 (0.81) ^ x ≤ 1900
 Answer:
 the exponential inequality is:
 17930 (0.81) ^ x ≤ 1900
 where
 x: number of years
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svetoff [14.1K]
<h2>Hello!</h2>

The answer is: g(x)=-\sqrt[3]{x-1}

<h2>Why?</h2>

Let's check the roots and the shown point in the graphic (2,-1)

First,

0=-\sqrt[3]{x-1}\\\\0^{3}=(-\sqrt[3]{x-1})^{3}\\\\0=-(x-1)\\\\x=1

then,

g(0)=-\sqrt[3]{0-1}\\g(0)=-(-1)\\g(0)=1\\y=1

So,  we know that the function intercepts the axis at (1,0) and (0,1), meaning that the function match with the last given option

(g(x)=-\sqrt[3]{x-1})

Second,

Evaluating the function at (2,-1)

y=-\sqrt[3]{x-1}\\-1=-\sqrt[3]{2-1}\\-1=-\sqrt[3]{1}\\-1=-(1)\\-1=-1

-1=-1

It means that the function passes through the given point.

Hence,

The equation which represents g(x) is g(x)=-\sqrt[3]{x-1}

Have a nice day!

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2 years ago
Solomon has read 1/3 of his book. He finishes the book by reading the same amount each night for 5 nights. A. What fraction of t
Tatiana [17]
A) 2/3 divided by 5/1
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2/3
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A cube has volume 1331cm3. Calculate the length of one edge of the cube.
pishuonlain [190]

Answer:

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Step-by-step explanation:

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Answer: 9 and 7eights

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