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2 years ago

Let f(x)=6−2+2e−0.3x . What is f(−4) ?

Mathematics

2 answers:

ICE Princess25 [194]2 years ago

6 0

Answer:

f(-4) = 10.636

Step-by-step explanation:

In this problem we need to substitute and add together the remaining terms

f(x)=6−2+2e−0.3x

If we simplify

f(x) = (6−2) +2e−0.3x

f(x) = (4) +2e − 0.3x

We substitute the value for e (Euler's number)

e = 2.718

f(x) = (4) +2(2.718) − 0.3x

f(x) = (4) + 5.436 − 0.3x

f(x) = 9.436 -0.3*x

We just need to substitute for x = -4 , to get f(-4)

f(-4) = 9.436 -0.3*(-4)

f(-4) = 9.436 + 1.2

f(-4) = 10.636

loris [4]2 years ago

3 0

Answer: 1.3

Step-by-step explanation:

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Use the pythagorean theorem.

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The answer for this question is 12yd

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2 years ago

Donovan took a math test and got 20 correct questions and 5 incorrect answers. What was the percentage of correct answers?

solong [7]

ANSWER

80%

EXPLANATION

Donovan got 20 questions correct and 5 questions incorrect.

This means that the total number of questions he attempted in the test is the sum of correct and incorrect questions:

Total = 20 + 5

Total = 25

To find the percentage of correct answers, we have to divide the number of correct answers by the total number of questions attempted and multiply by 100 (per cent).

That is:

$\begin{gathered} \frac{20}{25}\cdot\text{ 100 = }\frac{4}{5}\cdot\text{ 100} \\ =\text{ 80\%} \end{gathered}$

That is the percentage of correct answers.

3 0

8 months ago

In football seasons, a team gets 3 points for a win, 1 point for a draw and 0 points for a

Dvinal [7]

Answer:

The difference between the games won and lost = 21 - 6 =15

Step-by-step explanation:

According to the question In a football season a team gets 3 points for a win, 1 point for a draw and 0 points for a loss.

A particular season a team played 34 games and lost 6 games . Finding the difference between game won and game lost simply means we have to know the number of game lost and game won.

The team played a total of 34 games.

Total games played = 34

Out of the 34 games played they lost 6 games. That means the remaining games is either win or draw. Therefore,

34 - 6 = 28 games was won or draw

Let

the number of games won = x

the number of game drew = y

3x + y = 70.............(i)

x + y = 28................(ii)

x = 28 - y

insert the value of x in equation(i)

3(28 - y) + y = 70

84 - 3y + y = 70

84 - 70 = 3y -y

14 = 2y

divide both sides by 2

y = 14/2

y = 7

insert the value of y in equation(ii)

x + y = 28

x = 28 - 7

x = 21

The team won 21 games , drew 7 games and lost 6 games.

The difference between the games won and lost = 21 - 6 =15

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Alex787 [66]

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2 years ago

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