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2 years ago

The functions fand g are defined as follow

Mathematics

1 answer:

Y_Kistochka [10]2 years ago

4 0

Step-by-step explanation:

f(x)=3x²-3x

f(-3)=3(-3)²-3(-3)

=3(9)+9

=27+9

=36

g(x)=5x-1

g(-7)=5(-7)-1

=-35-1

=-36

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Every year after a new car is

slavikrds [6]

Answer: The value of the car after 3 years is $5,333.333

And no, the relationship is not linear, is an exponential decay.

Step-by-step explanation:

We know that every year, the car loses 1/3 of its value.

So if the initial value of the car is V.

After one year, the new value of the car will be:

Value (1 year) = V - (1/3)*V = (2/3)*V

After another year, the value will be:

Value (2 years) = (2/3)*V - (1/3)*(2/3)*V = V*(2/3)^2

Ok, we already can see that this is an exponential decay.

(So no, this is not a linear relationship).

The value equation as a function of the number of years will be:

Value(N) = V*(2/3)^N

Then if the initial cost of a car is $18,000, and we want to know its value after 3 years, we need to replace V by $18,000 and N by 3 in the above equation:

Value(3) = $18,000*(2/3)^3 = $5,333.333

6 0

4 years ago

Clayton Kershaw, a baseball player for the Los Angeles Dodgers, makes $30.15 million per year. There are 162 games in a major le

agasfer [191]

Answer:

<h2>Carmello Anthony make more money per game</h2>

Step-by-step explanation:

we are expected to calculate how much each player is making per game, compare the values and tell who makes more money per game

Clayton Kershaw

given data

$30.15 million per year

There are 162 games in a major league baseball season.

therefore a game will be worth

=30,150,000/162

=$186,111

Carmello Anthony

given data

$24.81 million per year

There are 82 games in a NBA season.

therefore a game will be worth

=24,810,000/82

=$302,561

from the analysis, Carmello Anthony make more money per game

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4 years ago

Ronald Dairo is helping the local indus-

nadya68 [22]

Answer:

Mr. Dairo can produce 20580 pieces of Papaya rosette in two weeks.

Step-by-step explanation:

Papaya rosette pieces on first day = 5890

Papaya rosette Pieces on second day = 7020

Papaya rosette Pieces of third day = 8150

Let

$a_1 = 5890\\a_2 = 7020\\a_3 = 8150$

We can check if these numbers are part of a sequence.

In order to check, common difference will be found first.

$d = a_2-a_1 = 7020-5890 = 1130\\d =a_3-a_2 = 8150-7020 = 1130$

It can be observed that the common difference is same. When the common difference is same, the sequence is said to be an arithmetic sequence.

The formula for arithmetic sequence is given by:

$a_n = a_1+(n-1)d$

Putting the values

$a_n = 5890+(n-1)(1130)\\a_n = 5890+1130n-1130\\a_n =4760+1130n$

The formula for nth term can be used to find any term. As we have to find the number of papaya rosette pieces after two weeks which means that we need to find the number of pieces on 14th day.

So,

$a_{14}= 4760+1130(14)\\a_{14} = 4760+15820\\a_{14} = 20580$