All categories

3 years ago

What is the domain of the function

Mathematics

1 answer:

uranmaximum [27]3 years ago

5 0

Answer:

third answer is correct

Step-by-step explanation:

You might be interested in

Suppose we want to choose letters, without replacement, from distinct letters.

Juli2301 [7.4K]

The number of ways when the choice is not relevant is 1716

<h3>How to determine the number of ways?</h3>

The number of letters are:

Letter, n = 13

The letter to choose are:

r = 6

<u>Relevant choice</u>

When the choice is relevant, we have:

$Ways = ^nP_r$

This gives

$Ways = ^{13}P_6$

Evaluate

Ways = 241235520

Hence, the number of ways when the choice is relevant is 1235520

<u>Not relevant choice</u>

When the choice is not relevant, we have:

$Ways = ^nC_r$

This gives

$Ways = ^{13}C_6$

Evaluate

Ways = 1716

Hence, the number of ways when the choice is not relevant is 1716

Read more about combination at:

brainly.com/question/11732255

#SPJ1

7 0

2 years ago

Jim sells used drones for 70% of the original manufacturer's purchase price of a new drone. Jim also sells new drones for 15% mo

adell [148]

The function for the amount saved if they purchase a used drone rather than a new drone from Jim's store is f(x) = 0.45x

He sells used drones at 70% of the price (x).

So, the selling price of a used drone is:

$\mathbf{Used = 70\% \times x}$

Express percentage as decimal

$\mathbf{Used = 0.7 \times x}$

$\mathbf{Used = 0.7x}$

Also, he sells new drones at 15% more of the price (x).

So, the selling price of a new drone is:

$\mathbf{New= (1 + 15\%) \times x}$

Express percentage as decimal

$\mathbf{New= (1 + 0.15) \times x}$

$\mathbf{New= 1.15 \times x}$

$\mathbf{New= 1.15x}$

The amount saved is the difference between the prices of the drones.

So, we have:

$\mathbf{Saved =New - Old}$

This gives

$\mathbf{Saved =1.15x- 0.7x}$

Subtract

$\mathbf{Saved =0.45x}$

Express as a function

$\mathbf{f(x) = 0.45x}$

Hence, the function for the amount saved is f(x) = 0.45x

Read more about proportions at:

brainly.com/question/13114933

7 0

2 years ago

What is 4w = -20 can someone please help me with this question

algol [13]

Answer:

w=−5

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Area of a Triangle

jek_recluse [69]

Answer:

3.51 (round to the nearest hundreds)

Step-by-step explanation:

PART A

slope of the line passing through AC : (6-1)/(1-2) = 5/-1 = -5

equation of the line passing through B and perpendicular to AC:

y-3 = 1/5(x-3)

y-3 = 1/5x -3/5

y = 1/5 x - 3/5 + 3

y = 1/5 x + (-3+15)/5

y = 1/5 x + 12/5

PART B

line that passes through the points A and C

y-1 = -5(x-2)

y = -5x+10 + 1

y = -5x + 11

Interception of the lines

y = 1/5x + 12/5

y = -5x + 11

-5x + 11 = 1/5x + 12/5

-25x +55 = x + 12

26x = 43

x = 43/26

y = -5(43/26) + 11

y= -215/26 + 11

y = (-215+286)/26 = 71/26

D (1.65, 2.73)

PART C

AC = $\sqrt{(1-2)^2 + (6-1)^2} = \sqrt{1 + 25} = \sqrt{26}$ = 5,09902

BD = $\sqrt{(3-1.65)^2 + (3-2.73)^2}$ = 1,376735

PART D

AREA = (5,09902 * 1.376735)/2 = 3,509999

8 0

3 years ago

"If a = − 8, b = − 7, c = 6, verify that (a+b) + c = a + (b+c)."

PtichkaEL [24]

Answer:

The commutative property of addition says that changing the order of addends does not change the sum.

(a+b)+c = a+ (b+c)

( -8 + -7) + 6 = -8 + ( -7 + 6)

-15 + 6 = -8 + -1

-9 = -9

4 0

2 years ago

Read 2 more answers