What does "practical domain" mean?

Answer:

[tex]a'(d) = \frac{d}{5} + \frac{3}{5}[/tex]

[tex]a(a'(d)) = a'(a(d)) = d[/tex]

Step-by-step explanation:

Given

[tex]a(d) = 5d - 3[/tex]

Solving (a): Write as inverse function

[tex]a(d) = 5d - 3[/tex]

Represent a(d) as y

[tex]y = 5d - 3[/tex]

Swap positions of d and y

[tex]d = 5y - 3[/tex]

Make y the subject

[tex]5y = d + 3[/tex]

[tex]y = \frac{d}{5} + \frac{3}{5}[/tex]

Replace y with a'(d)

[tex]a'(d) = \frac{d}{5} + \frac{3}{5}[/tex]

Prove that a(d) and a'(d) are inverse functions

[tex]a'(d) = \frac{d}{5} + \frac{3}{5}[/tex] and [tex]a(d) = 5d - 3[/tex]

To do this, we prove that:

[tex]a(a'(d)) = a'(a(d)) = d[/tex]

Solving for [tex]a(a'(d))[/tex]

[tex]a(a'(d)) = a(\frac{d}{5} + \frac{3}{5})[/tex]

Substitute [tex]\frac{d}{5} + \frac{3}{5}[/tex] for d in  [tex]a(d) = 5d - 3[/tex]

[tex]a(a'(d)) = 5(\frac{d}{5} + \frac{3}{5}) - 3[/tex]

[tex]a(a'(d)) = \frac{5d}{5} + \frac{15}{5} - 3[/tex]

[tex]a(a'(d)) = d + 3 - 3[/tex]

[tex]a(a'(d)) = d[/tex]

Solving for: [tex]a'(a(d))[/tex]

[tex]a'(a(d)) = a'(5d - 3)[/tex]

Substitute 5d - 3 for d in [tex]a'(d) = \frac{d}{5} + \frac{3}{5}[/tex]

[tex]a'(a(d)) = \frac{5d - 3}{5} + \frac{3}{5}[/tex]

Add fractions

[tex]a'(a(d)) = \frac{5d - 3+3}{5}[/tex]

[tex]a'(a(d)) = \frac{5d}{5}[/tex]

[tex]a'(a(d)) = d[/tex]

Hence:

[tex]a(a'(d)) = a'(a(d)) = d[/tex]

Answer:

2:45 P.M

Step-by-step explanation:

Answer:

3:45

Step-by-step explanation:

8:00-5 hours and 15 min=3:45

Answer:

1 3/4, 9 1/4

Step-by-step explanation:

continue the pattern

Answer:

you randomly select and eat three chocolates

Answer:

there is a 5/12 chance its a milk chocolate and a 1/4 chance it's dark chocolate it's more likely chance it's a milk chocolate  

Step-by-step explanation:

Answer:

The answer is 0, 5.25

Step-by-step explanation:

Answer:

why? also the answer is 1.6y+y-4/15y+7/6y=21/3

We move all terms to the left:

1.6y+y-4/15y+7/6y-(21/3)=0

Domain of the equation: 15y!=0

y!=0/15

y!=0

y∈R

Domain of the equation: 6y!=0

y!=0/6

y!=0

y∈R

We add all the numbers together, and all the variables

1.6y+y-4/15y+7/6y-7=0

We add all the numbers together, and all the variables

2.6y-4/15y+7/6y-7=0

We calculate fractions

2.6y+(-24y)/90y^2+105y/90y^2-7=0

We multiply all the terms by the denominator

(2.6y)*90y^2+(-24y)+105y-7*90y^2=0

We add all the numbers together, and all the variables

(+2.6y)*90y^2+(-24y)+105y-7*90y^2=0

We add all the numbers together, and all the variables

105y+(+2.6y)*90y^2+(-24y)-7*90y^2=0

Wy multiply elements

-630y^2+105y+(+2.6y)*90y^2+(-24y)=0

We get rid of parentheses

-630y^2+105y+(+2.6y)*90y^2-24y=0

We add all the numbers together, and all the variables

-630y^2+81y+(+2.6y)*90y^2=0

Step-by-step explanation:

Answer:

x=-9

Step-by-step explanation:

Answer:

Cytoplasm

Step-by-step explanation:

Answer:

Cytoplasm

Step-by-step explanation:

Answer:

-114

Step-by-step explanation:

f(6) it means f(x=6) so substituting x=6 in your equation gives us

f(6)= -4*(6)²+5*(6)

= -4*36+30

= -144+30

= -114

Answer:

One solution, being x = -3

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

2d= 2 x 8= 16

16+3= 19

Answer:

Step-by-step explanation:

2d + 3         (d=8)

(2*8) + 3 =

16 + 3 =

19

100=40+2m

100-40=60

2m=60

60 divided by 2=30

30 movies

Answer:

2m+40=100,  30 movies

Step-by-step explanation:

1 movie = 2 points

1 pass= 100 points

curently have 40 points so

100points = 40points +2points *m

solve for m:

2m+40 =100 subtract 40 from both sides

2m = 100-40

2m=60 divide both sides by 2

m=60/2

m=30

Answer:

1.1

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

50/50

Answer:

3 times or a 50% chance

Step-by-step explanation:

we have two options so that means half of the options will be heads and half of the options will be tails.

i hope this helps :)

Answer:

Square root of 65

Step-by-step explanation:

Edge

The magnitude of the vector will be 8.0622 units.

A vector is a quantity with a magnitude, and direction that follows the law of vector addition.

Given data;

u = (7, –4)

The magnitude of the vector is, R found as;

[tex]\rm R = \sqrt{7^2+(-4^2)} \\\\ R = \sqrt {65} \\\\ R = 8.0622 \ units[/tex]

Hence the magnitude of the vector will be 8.0622 units.

To learn more about vectors, refer;

https://brainly.com/question/13322477

#SPJ2

Answer:

the present value is 3,162 euros

Step-by-step explanation:

The computation of the present value is shown below:

As we know that

Future value = Present value × (1 + rate of interest)^number of years

3,200 euros = Present value × (1 + 0.012)^1

3,200 euros =  Present value × 1.012^1

Present value is

= 3,200 euros ÷ 1.012

= 3,162 euros

Hence, the present value is 3,162 euros

Answer:

The answer to this equation is 49

Step-by-step explanation:

9x-2x

9×7=63

2×7=14

63-14=49

Answer:

Gold is LESS expensive than platinym because SLOPE of graph is LESS

SLOPE gives UNIT DOLLARS PER OUNCE.

Step-by-step explanation:

if correct‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎

Answer:

27

Step-by-step explanation:

Answer:

$40

Step-by-step explanation:

50/5=10, 10•4=40

Answer:

Imfaooooooo

Step-by-step explanation:

Hope this helps or brightens your day! Please consider marking brainliest! Always remember, your smart and you got this! -Alycia :)

Answer:

characters for what?

anyways....I need brainiest! :P

Answer:

X = 4, x = -7

Step-by-step explanation:

You can set each equation in the parenthesis Equal to 0.

x - 4 = 0 and x + 7 = 0

start with x - 4 =0

add 4 to both sides

x = 4.

then do x +7 =0. subtract 7 from both sides.

x = -7

so x =4, and x = -7

Answer: 6

Step-by-step explanation:

I believe that the answer is B

Answer:

3.62

Step-by-step explanation:

I am big brain and very smort

Answer:

362/ 100 or 3 62/100

Step-by-step explanation: