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Given f(x) = 7x-2, what is the value of f(2)?

motikmotik

Answer:

f(2)=12

Step-by-step explanation:

f(x)=7x-2

Plug 2 into the equation, since it says "f(2)".

f(x)=7(2)-2

f(x)=14-2

f(x)=12, done!

7 0

3 years ago

Read 2 more answers

If 75 percent of the employees of a certain company take a winter vacation, 40 percent take a winter and a summer vacation, and

KATRIN_1 [288]

Answer:

The answer is option A : 5%

Step-by-step explanation:

We have the following information in percentage:

Employees taking winter vacation= 75

Employees taking both winter and summer vacation= 40

Employees taking none vacation = 20

We can assume the situation as following:

Winter + Summer - Both + Neither = 100

We get;

75 + Summer - 40 + 20 = 100

So, summer = 45

45 people take vacations in summer. But 40 of them take vacation in winters too.

So, people taking vacations in summer but not winter means summer only.

This is : $45-40=5$ %

Therefore, the answer is option A : 5%

8 0

3 years ago

Express into partial fractions 3x³ - 5x² - 3x - 40/( x² + 4)(x - 3)

Fudgin [204]

First simplify the rational expression by dividing. The degree in the numerator has to be at least 1 less than the degree in the denominator before you can decompose into partial fractions.

(3x³ - 5x² - 3x - 40) / ((x² + 4) (x - 3)) = 3 + (4x² - 15x - 4) / ((x² + 4) (x - 3))

Now decompose the remainder term into partial fractions:

(4x² - 15x - 4) / ((x² + 4) (x - 3)) = (ax + b) / (x² + 4) + c / (x - 3)

Multiply both sides by the denominator on the left:

4x² - 15x - 4 = (ax + b) (x - 3) + c (x² + 4)

Expand the right side:

4x² - 15x - 4 = ax² + (b - 3a) x - 3b + cx² + 4c

4x² - 15x - 4 = (a + c) x² + (b - 3a) x - 3b + 4c

Then

a + c = 4

b - 3a = -15

-3b + 4c = -4

Solve this system to get

a = 5, b = 0, c = -1

We end up with

(4x² - 15x - 4) / ((x² + 4) (x - 3)) = 5x / (x² + 4) - 1 / (x - 3)

and so

(3x³ - 5x² - 3x - 40) / ((x² + 4) (x - 3))

= 3 + 5x / (x² + 4) - 1 / (x - 3)

8 0

3 years ago

To get a student learner's permit to drive in New Jersey, an individual must be at least 16 years old. Let, a, represent the age

vredina [299]

Answer:

$a\geq 16$

Step-by-step explanation:

Let $a$ represents the age at which a person gets a student learner's permit to drive in New Jersey.

Also, an individual must be at least $16$ years old to get a student learner's permit to drive in New Jersey.

So, inequality is $a\geq 16$

(Inequality explains a relationship of greater than or greater than or equal to or less than, or less than or equal to between two mathematical expressions)

5 0

2 years ago

I need help it’s hard

Reika [66]

9514 1404 393

Answer:

f^-1(x) = (x +4)/3

Step-by-step explanation:

The inverse function is found by swapping x and y, then solving for y.

y = 3x -4 . . . . . function y = f(x)

x = 3y -4 . . . . . inverse relation

x +4 = 3y . . . . add 4

(x +4)/3 = y . . . divide by 3. This is the inverse function

f^-1(x) = (x +4)/3

6 0

3 years ago