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Stolb23 [73]
3 years ago
12

The value of a car is inversely proportional to its age. if a car is worth ​$8100 when it is 6 years​ old, how old will it be wh

en it is worth ​$5400​?
Mathematics
1 answer:
Sveta_85 [38]3 years ago
8 0
It is $13.500 because you are adding
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Let f(x) = 4x – 5 and g(x) = 3x + 7. find f(x) + g(x) and state its domain.
Tema [17]

We are given the functions:

f(x) = 4 x – 5                       ---> 1

g(x) = 3 x + 7                       ---> 2

 

To find for the value of f(x) + g(x), all we have to do is to add equations 1 and 2:

f(x) + g(x) = 4 x – 5 + 3 x + 7

f(x) + g(x) = 7 x + 2 = y

 

In this case, for any real number value assign to x, we get a real number value of y. This is because the function is linear.

Therefore the domain of the function is all real numbers.

5 0
3 years ago
Find the slope a) -5, b) -1/5, c)5, d) 1/5,
Arturiano [62]

Answer:

The slope is a) -5.

Step-by-step explanation:

(-6, -4)

(-5, -9)

the difference in slope is \frac{-9 - (-4)}{-5 - (-6)} = \frac{-9 + 4}{-5 +6} =  \frac{-5}{1} = -5

7 0
3 years ago
What’s is the answer
kvasek [131]

When you are multiplying an exponent directly into a number/variable with an exponent, you multiply the exponents together.

For example:

(x^{2} )^{3} = x^6

(x^{3} )^5=x^{15}


When you are multiplying a variable with an exponent by another variable with an exponent, you add the exponents together.

For example:

(x^{2} )(x^{3})=x^{5}

(x^{1} )(x^{2})=x^{3}


(\frac{(x^{-3})(y^{2})}{(x^{4})(y^{6})} )^{3}=\frac{(x^{-9})(y^{6})}{(x^{12})(y^{18})}

You multiply 3 into each exponent in the numerator and the denominator

\frac{(x^{-9})(y^{6})}{(x^{12})(y^{18})}= \frac{y^{6}}{(x^{9})(x^{12})(y^{18})}

When you have a negative exponent, you move it to the other side of the fraction to make the exponent positive.

\frac{y^{6}}{(x^{21})(y^{18})} = \frac{1}{(x^{21})(y^{12})}


When you have something like this:

\frac{x^{2}}{x^5}

You subtract the exponents together, so:

\frac{x^2}{x^5} = x^{2-5} = x^{-3} = \frac{1}{x^3}


Your answer is the second option

3 0
3 years ago
A+b/a-b=5/3 what are the following ratios? 3a:2b
Papessa [141]

Answer:

3 a : 2 b = 6 : 1

Step-by-step explanation:

<em>\frac{a + b}{a - b} = \frac{5}{3}</em>

<em>3 ( a + b) = 5 ( a - b) </em>

<em>3 a + 3 b = 5 a - 5 b </em>

<em>5 b + 3 b = 5 a - 3 a </em>

<em> 8 b = 2 a </em>

<em> 2 a = 8 b</em>

<em><u>a = 4 b</u></em>

<em>3 a = 3 × 4 b</em>

<em><u>3 a = 12 b</u></em>

<em>3 a: 2 b = 12 b : 2 b</em>

<em>3 a : 2 b = 6 : 1</em>

7 0
4 years ago
Read 2 more answers
Least to greatest. 13.01, 13.1, 13.001
Viktor [21]
13.001
13.01
13.1

13.001=13\dfrac{1}{1000} < 13.01=13\dfrac{1}{100} < 13.1=13\dfrac{1}{10}
5 0
3 years ago
Read 2 more answers
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