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3 years ago

Find the inverse of each given functions. f(x) = 4x − 12

Mathematics

2 answers:

weeeeeb [17]3 years ago

8 0

Answer:

$y=\frac{x+12}{4}$

Step-by-step explanation:

$y=4x-12$

Replace all x's with y's and all y's with x's

$x=4y-12$

Solve for y

$y=\frac{x+12}{4}$

Paha777 [63]3 years ago

7 0

Answer:

y=1/4x+3

Step-by-step explanation:

To find the inverse, switch x and y or f(x)

f(x)=4x-12

y=4x-12

x=4y-12

Add 12 to both sides

x+12=4y-12+12

x+12=4y

Divide both sides by 4

x+12/4=y

1/4x+12/4=y

1/4x+3=y

y=1/4x+3

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Solve the following inequality. 6.37 <-45.36 Which graph shows the correct solution?

ale4655 [162]

Answer:

third number line

Step-by-step explanation:

6.3r < -45.36

r < -7.2

it can't be the first two because those values are 71, 70 etc and we need 7.1, 7.2 etc

and r is less then -7.2

So it has to be the third one

6 0

3 years ago

X³+y³+z³=k If u get a right answer its going to be marked brainliest

scoray [572]

Answer:

x3+y3+z3

Step-by-step explanation:

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5 0

3 years ago

Dave ordered dinner for a party of 10 people. Three people ordered the $4.75 chicken dinner, two people ordered the $4.95 fish d

postnew [5]

Answer:

The average cost of each dinner at Dave's party is $5.79.

Step-by-step explanation:

Given:

Dave ordered dinner for a party of 10 people.

Three people ordered the $4.75 chicken dinner, two people ordered the $4.95 fish dinner, and five had the beef dinner at a cost of $6.75 each.

Now, to find the average cost of each dinner at Dave's party.

So, we get the total amount for the dinner:

Three people ordered the $4.75 chicken dinner.

$4.75\times 3=14.25$

Two people ordered the $4.95 fish dinner.

$4.95\times 2=9.90$

Five had the beef dinner at a cost of $6.75.

$6.75\times 5=33.75$

Total amount of dinner = $14.25+9.90+33.75=\$57.90.$

Now, to get the average cost of each dinner of 10 people we divide the total amount of dinner by 10:

$57.90\div 10$

$=\$5.79.$

Therefore, the average cost of each dinner at Dave's party is $5.79.

7 0

3 years ago

María compró 78 metros de cuerda, ella dividió en 6 partes iguales la cuerda el día martes 8 de mayo ¿Cuántos metros mide cada t

barxatty [35]

Answer:

The length of each piece is 13 m.

Step-by-step explanation:

Maria bought 78 meters of rope, she divided the rope into 6 equal parts on Tuesday, May 8, How many meters is each piece?

a) Each piece measures 312m

c) Each piece measures 13m

d) each piece mites 92m

b) Each piece measures 9m and 75cm

Total length, L = 78 m

Number of pieces, n = 6

length of each piece,

d = L/n = 78/6 = 13 m

So, the correct option is (c).

6 0

3 years ago

Calculate the amount of hcn that gives the lethal dose in a small laboratory room measuring 12.0 ft×15.0 ft×8.50ft.

Anarel [89]

Dimensions of the room in cm = 2.54 x 12 by 15 x 2.54 by 2.54 x 8.5 = 30.48 by 38.1 by 21.59

Volume of the room in cubic cm = 30.48 x 38.1 x 21.59 cubic cm = 25,072.21 cubic cm

Given that the density of air at room temperature is $0.00118g/cm^3$ , thus the mass of air in the room = 25,072.21 x 0.00118 = 29.59 g = 0.0296 kg

Given that the lethal dose of HCN is approximately 300 mg HCN per kilogram of air when inhaled, thus the amount of HCN that gives the lethal dose in the small laboratory room is given by 300 x 0.0296 = 8.88 mg.

7 0

3 years ago