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3 years ago

How do i do these using the following functions

Mathematics

1 answer:

attashe74 [19]3 years ago

6 0

Step-by-step explanation:

(f+g)(x) means f(x) + g(x).

(f−g)(x) means f(x) − g(x).

So all you have to do is add them and subtract them.

1. (f+g)(x) = f(x) + g(x)

(f+g)(x) = (3x − 7) + (2x − 4)

(f+g)(x) = 5x − 11

2. (f−g)(x) = f(x) − g(x)

(f−g)(x) = (3x − 7) − (2x − 4)

(f−g)(x) = 3x − 7 − 2x + 4

(f−g)(x) = x − 3

3. (f+g)(x) = f(x) + g(x)

(f+g)(x) = (2x + 3) + (x² + ½ x − 7)

(f+g)(x) = x² + 2½ x − 4

4. (f−g)(x) = f(x) − g(x)

(f−g)(x) = (2x + 3) − (x² + ½ x − 7)

(f−g)(x) = 2x + 3 − x² − ½ x + 7

(f−g)(x) = -x² + 1½ x + 10

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A manager must select three coders from her group to write three different software projects. There are 7 junior and 3 senior co

gavmur [86]

Answer:

The total number of ways are 168.

Step-by-step explanation:

Consider the provided information.

There are 7 junior and 3 senior coders in her group.

The first project can be written by any of the coders. The second project must be written by a senior person and the third project must be written by a junior person.

For second project we have 3 choices and for third project we have 7 choices.

Now there are 2 possible case:

Case I: If first and second coder is senior, then the total number of ways are:

$3\times 2\times 7=42$

Case II: If first and third coder is junior, then the total number of ways are:

$7\times 3\times 6=126$

Hence, the total number of ways are: 42+126=168

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3 years ago

He following formula is used in economics to find a factory's unit labor cost UUU, where OOO is the hourly output per worker and

Vilka [71]

Answer:

W = O/U

Step-by-step explanation:

U/1 = O/W

WU=O

W = O/U

4 0

3 years ago

Please show work for both problems

kirill [66]

Answer:

3) x = 15; 95 and 85 4) x = 12; 98 for both angles

Step-by-step explanation:

2x + 65 + 3x + 40 = 180 Set the equations equal to 180

5x + 105 = 180 Combine like terms

- 105 - 105 Subtract 105 from both sides

5x = 75 Divide both sides by 5

x = 15

Plug 15 into both equations

2(15) + 65 = 95

3(15) + 40 = 85

4) 5x + 38 = 9x - 10 Set the equations equal to each other

- 5x - 5x Subtract 5x from both sides

38 = 4x - 10

+ 10 + 10 Add 10 to both sides

48 = 4x Divide both sides by 4

12 = x

Plug 12 into both equations

5(12) + 38 = 98

9(12) - 10 = 98

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2 years ago

How many times does 9 go into 70

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3 years ago

Read 2 more answers

-2x^2+5x-4=0 , find the discriminant

BaLLatris [955]

Answer:

The discriminant is -7

Step-by-step explanation:

The discriminant of a quadratic function/equation(ax^2+bx+c = 0) is calculated as:

$b^2 -4ac$

Here

b is the co-efficient of x

a is the co-efficient of x^2

and c is the constant

Given equation is:

$-2x^2+5x-4=0$

Here

a = -2

b = 5

c = -4

Putting the values in the formula for discriminant

$= b^2 - 4ac\\= (5)^2 - 4(-2)(-4)\\= 25 - 32\\=-7$

As the discriminant is negative, the equation has no real solution.

Hence,

The discriminant is -7

5 0

2 years ago