A fair dice is rolled. Work out the probability of getting a number less than 5. Give your answer in its simplest form.

For f(x) = 4 - x and g(x) = 2x + x + 7, find the following functions.

Alenkinab [10]

Answer: a. -3(x+1), b. 19-3x, c. -9 and d. 13

Step-by-step explanation:

Lets begin with a. (fog)(x)=f(g(x))

=f(2x+x+7), Note that 2x+x+7=3x+7

=f(3x+7) (where there is x if the function f(x) we

substitute x by 3x+7)

=4-(3x+7) =4-3x-7=-3x-3= -3(x+1).

b. (gof)(x)=g(f(x))=g(4-x) (where there is x in the function

g(x) we substitute with 4-x)

= 3(4-x)+7 = 19-3x

c. (fog)(2) = -3(2+1) = -9 (we now substitute x with 2 in -3(x+1). )

d. (gof)(2) = 19-3(2)=19-6=13. (Again we now substitute x with

2 in 19-3x)

3 0

3 years ago

Find the percent change. Original amount: 16 New amount: 11

marishachu [46]

The exact answer is 31.25%, or about 31%

8 0

3 years ago

Read 2 more answers

Is that right? If not please help me out.

Alex73 [517]

Answer:

Yeah.it is right

Step-by-step explanation:

7 0

3 years ago

3x+4y+6z=15 Solve for x.

aalyn [17]

Answer:

Step-by-step explanation:

<h3>Question:-</h3>

To solve for x

<h3>Equation:-</h3>

3x + 4y + 6z = 15

<h3>Solution:-</h3>

=> 3x + 4y + 6z = 15

[On subtracting both sides with 4y]

=> 3x + 4y + 6z - 4y = 15 - 4y

[On Simplification]

=> 3x + 6z = 15 - 4y

[On subtracting both sides with 6z]

=> 3x + 6z - 6z = 15 - 4y - 6z

[On Simplification]

=> 3x = 15 - 4y - 6z

[On dividing both sides with 3]

$= > \frac{3x}{3} = \frac{15 - 4y - 6z}{3}$

[On Simplification]

$= > x = 5 - \frac{4}{3} y - 2z \: (ans)$

3 0

2 years ago

Read 2 more answers

1. During October, William Korth worked 160 regular time hours at $9.28 an hour and 18 overtime hours at time-

Vanyuwa [196]

Answer:

Kindly check explanation

Step-by-step explanation:

1.) regular time hours = 160

Overtime hours = 18

Gross pay = (9.28 * 160) + (1.5 * 9.28 * 18) = $1735.36

2.) Last year, Ida Zolen worked 2,000 hours at regular time pay of $8.20 an hour. She also worked 75 hours over time at double his regular rate. What was Ida’s gross pay last year?

Gross pay:

(2000 * 8.20) + (2 * 8.20 * 75) = $17,630

3. Alan Kirbaum works on an 8-hour day basis and is paid $8 an hour for regular time work and time-and-a half for overtime work. Last week he worked these hours: Monday:9 ; Tuesday:6 ; Wednesday:11 ; Thursday:8 ; Friday:9.

A) How many regular hours did he work?

Regular hours = (8 + 6 + 8 + 8 + 8).= 38 hours

B) How many overtime?

Overtime = (1 + 3 + 1). = 5 hours

C) What is his overtime rate?

2.5 * $8 = $20

D) What is his overtime pay?

$20 * 5 = $100

E) Find Alan’s gross pay.

(38 * $8) + $100 = $404

4. Stephen Woll’s regular pay is $20 an hour. He is paid time and a half for overtime work beyond 40 hours a week. He

worked: Monday:11 ; Tuesday:10 ; Wednesday:10 ; Friday:12. Find Stephen

Total Hour = (11 + 10 + 10 + 12) = 43 hours

8 0

3 years ago

A fair dice is rolled. Work out the probability of getting a number less than 5. Give your answer in its simplest form.​

A fair dice is rolled. Work out the probability of getting a number less than 5. Give your answer in its simplest form.