What is the inverse of the function f(x) = one-quarterx – 12? h(x) = 48x – 4 h(x) = 48x + 4 h(x) = 4x – 48 h(x) = 4x + 48

Answers

Answer 1

Answer:

h(x) = 4x+48

Step-by-step explanation:

Given the function f(x) = 1/4x -12. To get the inverse of the function, first we will let y = f(x) to have y = 1/4x - 12.

Then we will make x the subject of the formula as shown:

y = 1/4x - 12

adding 12 to  both sides we have;

y + 12= 1/4x - 12 + 12

y + 12 = 1/4x

Multiplying both sides by 4 we have;

4(y+12) = x

x = 4y + 48

Substituting y for x

y = 4x+48

f^-1(x) = 4x+48

h(x) = 4x+48

Thee final expression will give the inverse of the function

Answer 2

Answer:

h(x) = 4x+48

Step-by-step explanation:

Given the function f(x) = 1/4x -12. To get the inverse of the function, first we will let y = f(x) to have y = 1/4x - 12.

Then we will make x the subject of the formula as shown:

y = 1/4x - 12

adding 12 to  both sides we have;

y + 12= 1/4x - 12 + 12

y + 12 = 1/4x

Multiplying both sides by 4 we have;

4(y+12) = x

x = 4y + 48

Substituting y for x

y = 4x+48

f^-1(x) = 4x+48

h(x) = 4x+48

Thee final expression will give the inverse of the function


Related Questions

A bottle of iron supplement has 45g of iron in 330ml of solution. How many grams of iron are in
100ml of solution?

Answers

Answer:

45 * 100 / 330 = amount in 100 ml of solution

13.6363636364  grams

Step-by-step explanation:

How many zeroes are at the end of 10! = 1∙2 ∙ … ∙ 9∙10?

Answers

Answer:

2.

Step-by-step explanation:

To find the number of trailing zeroes, given n!, we take n and divide it by increasing powers of 5. For example, the number of trailing zeroes in 50! = 50/5 = 10, 50/25 = 2, 10 + 2 = 12 trailing zeroes.

In this case, 10/5 = 2, and since we cannot get an integer from dividing 10 and 25, we are left with this answer.

I hope this helps!

Please answer correctly !!!!!! Will mark brainliest answer !!!!!!!!!

Answers

Answer:

C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

To figure out if something is increasing or decreasing, you must read the graph from left to right. If it appears to be going down, then it is decreasing. When it appears to be to be going up, it is increasing. For both A & B, the graph is decreasing. When you look from when the x-values are between 2.5 and 3.5, you can see the line going down. That means it is decreasing.

I hope this helps!

Plssssssss........helppppppp meeeeeee

Answers

Answer:

The coefficient is 12

Step-by-step explanation:

The coefficient is the number next to the variable in the term

12p

The coefficient is 12 and the variable is p

Answer:
12

Explanation:
The coefficient is the number in front of a variable.

what is the y intercept, function, domain and range, and horizontal asymptote of y=3^x

Answers

Answer:  y−intercept is =(0,−2),  the horizontal asymptote is y=4, Domain is − ∞ < x < −2 and  −2 < x < ∞, Range is − ∞ < y < 4 and 4 < y < ∞

Step-by-step explanation: Vertical asymptote can be found by setting the denominator equal to 0 and solving for x : , Horizontal asymptote can be found by evaluating yas x→±∞,

Misha found that the equation –|2x – 10| – 1 = 2 had two possible solutions: x = 3.5 and x = –6.5. Which explains whether or not her solutions are correct? She is correct, because both solutions satisfy the equation. She is not correct, because she made a sign error. She is not correct, because there are no solutions. She is not correct, because there is only one solution: x = 3.5. help plz

Answers

Answer:

She is not correct, because there are no solutions

Step-by-step explanation:

–|2x – 10| – 1 = 2

Add 1 to each side

–|2x – 10|  = 3

Divide by -1

|2x – 10|  = -3

An absolute value is positive and it would have to equal -3

This cannot happen so there is no solution

Answer:

She is not correct, because there are no solutions

Step-by-step explanation: C

Michael is an engineer and is drawing a scale model of a centrifuge for an oil company. If the centrifuge is 24 meters tall and he's using a scale of 1 centimeter=6 meters, then how many centimeters tall should the centrifuge be in the drawing?

Answers

4 cm because 6x4 is 24. follow the formula

I will give you brainliest!!!!! Which equation models the total profit y, based on the number of T-shirts sold x?

Answers

Answer:

B. y-25=5(x-20)

Which expession is equivalent to 4-(-7)

Answers

Answer:

4 + 7 = 11

Step-by-step explanation:

Subtracting a negative means adding.

To subtract a number, add its opposite. The opposite of -7 is 7, so to subtract -7, add 7.

4 - (-7) = 4 + 7 = 11

Answer:

4+7

Step-by-step explanation:

Which number sentence below matches this word problem? Grandma's house is 12 miles away. Aunt Millie's house is only 9 miles away. How much farther is Grandma's house than Aunt Millie's?

Answers

Answer:12-9=3

Step-by-step explanation: I mean like the grandma house is 12 mile from your house and the Aunt is 9 mil from your house so th numbe sentence would be 12-9

How much is $100 U.S. dollars in Canadian dollars?

Answers

Answer:

133.98

Step-by-step explanation:

133.98

Step by Step Explanation:

The slope of AB is -2/5. Segments CD has endpoints at C(-5,3) and D(10,-3). Are AB and CD parallel, perpendicular or neither? Justify.

Answers

Answer:

AB and CD are parallel

Step-by-step explanation:

AB has the slope of -2/5

lets see what slope the line CD has:

points are (-5, 3) and (10, -3)slope= m= (y2-y1)/(x2-x1)= (-3-3)/(10+5)= -6/15= -2/5

as we see AB and CD have same slope, therefore they are parallel

PLZ HLP MEEEEEEEEEEEEEEE
the table shows the distribution of students in Mrs boxer's sixth-grade class. what is the ratio of the number of boys to the number of girls? 10= boys 18= girls OPTIONS: A. 9/5 B. 5/4 C. 4/5 D. 14/9 E. 5/9 F. 9/14

Answers

Answer: 5/9

Step-by-step explanation:

Because you are looking for the ratio of BOYS to GIRLS you put those numbers in that order so it would be 10boys/18girls simplified that is 5/9

Answer:

Haaave youuu ever seen a troll

digging a hole

down by the bay?

Step-by-step explanation:

May I have brainliest please? :)

A box of oranges weighs 4 kg. If one orange weighs 80 g, how many oranges are in the box?

Answers

Answer:

50 oranges

Step-by-step explanation:

Convert the measurements for them to be the same ie 4kg to g

1kg=1000g. 4kgx1000=4000g

4000g is the mass of all oranges

1 orange=80g

? =4000g that is 4000/80

=50 oranges

Answer:

50 oranges

Step-by-step explanation:

Since each orange is measured in grams, we convert the 4 kg to g to start.

4 kg is equal to 4000 g.

Each orange weighs 80 g, so we divide 80g into 4000g.

80 divided by 4000 equals 50.

50 oranges are in the box.

I Hope This Helps!

What is 0.25 as a percent?

Answers

Answer:

Step-by-step explanation:

25%

the numbers after the decimal formes a percent

0.x

x = x_%

Answer:

25%

Step-by-step explanation:

25 x 100 you move the decimal point two places to the right.

So you end up with 25%

I really hope this helps.

46+9a=-5a+74 solve for a

Answers

Answer: a=2

Step-by-step explanation:

-14a=-28

divide both sides by -14

a=2

Need help please ???

Answers

Answer:

i believe the answer is 0.75

Step-by-step explanation:

i used siri

Which pair of terms are not both true for the number 3? Mark Brainliest!

A. Integer and rational number
B. whole number and integer
C. Natural number and integer
D. whole number and irrational number

Answers

Answer:

D

Step-by-step explanation:

3 is not irrational, it can be converted into a fraction (ratio) 3/1 quite easily

answer this plz quickly

Answers

Answer: THE ANSWER IS -1/36

Step by step: Find the LCD then combine

The answer is : -1/36

You forgot the 1 for 18 in the last question lol

Hope this helps, pls mark as brainliest :))))

fully Factorise 7m^2 + 13m​

Answers

Answer:

[tex]m(7m + 13)[/tex]

Step-by-step explanation:

[tex]7m {}^{2} + 13m \\ m(7m + 13)[/tex]

Given f(x) = -x – 4, solve for x when f(x) = 6.​

Answers

Answer:

-10

Step-by-step explanation:

6=-x-4           plug in 6 for f(x)

10=-x             add 4 to both sides in order to cancel out the -4

-10=x             multiple each side by -1 to make the x positive

25 Uma conta de gás, no valor de R$ 48,00, com

vencimento para 13 de abril, trazia a seguinte

informação: "Se a conta for paga após o venci-

mento, incidirão sobre o seu valor multa de 2%

e juros de 0,033% ao dia, que serão incluídos na

conta futura".

Qual será o acréscimo a ser pago sobre o valor da

próxima conta por um consumidor que quitou o

débito em 17 de abril? E se ele tivesse atrasado

o dobro do número de dias para

Answers

Answer:

R$49.02

R$49.09

Step-by-step explanation:

Por não pagar a conta em dia, o valor de 2% de juros foi adicionado, o novo valor base passa a ser:

[tex]V = 1.02*48\\V=R\$48.96[/tex]

O valor a ser pago n dias após o dia 13 de abril é dado por:

[tex]P=48.96*(1+\frac{0.033}{100} )^n[/tex]

No dia 17 de abril, n =4 e o valor a ser pago é:

[tex]P=48.96*(1+\frac{0.033}{100} )^4\\P=R\$49.02[/tex]

Caso n =8, o valor a ser pago seria:

[tex]P=48.96*(1+\frac{0.033}{100} )^8\\P=R\$49.09[/tex]

simplify this expression

Answers

Answer:

option 4

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] = [tex]\sqrt{ab}[/tex]

Given

(2 - 5[tex]\sqrt{6}[/tex] ) 3[tex]\sqrt{2}[/tex] ← distribute parenthesis by 3[tex]\sqrt{2}[/tex]

= 6[tex]\sqrt{2}[/tex] - 15[tex]\sqrt{12}[/tex]

= 6[tex]\sqrt{2}[/tex] - 15[tex]\sqrt{4(3)}[/tex]

= 6[tex]\sqrt{2}[/tex] - 15([tex]\sqrt{4}[/tex] × [tex]\sqrt{3}[/tex] )

= 6[tex]\sqrt{2}[/tex] - 15(2[tex]\sqrt{3}[/tex] )

= 6[tex]\sqrt{2}[/tex] - 30[tex]\sqrt{3}[/tex]

What is an equation in point-slope form of the line that passes through (1, −6) and (4, 6)

Answers

Answer:

Step-by-step explanation:

6--6 = 12

4-1 = 3

12/3 = 4

y=4x

-6-4 = -10

y=4x-10

The formula of slope:

Slope = (d - b) / (c - a)

where (a, b) and (c, d) are the two points.

The equation of the line that passes through (1, -6) and (4, 6) is

y = 4x - 10

What is an equation of a line?

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

The line passes through (1, -6) and (4, 6).

The formula of slope:

Slope = (d - b) / (c - a)

where (a, b) and (c, d) are the two points.

Now,

(1, -6) = (a, b) and (4, 6) = (c, d)

Slope = (6 + 6) / (4 - 1) = 12 / 3 = 4

m = 4

The equation of a line is given as y = mx + c.

(1, -6) = (x, y)

-6 = 4 x 1 + c

-6 = 4 + c

-6 - 4 = c

c = -10

Now,

The equation of the line that passes through (1, -6) and (4, 6) is

y = 4x - 10

Learn more about equation of a line here:

https://brainly.com/question/23087740

#SPJ2

Two numbers add to 200. The first is 20 less than the second. What are the numbers?

Answers

Answer:

Step-by-step explanation:

Let's call the first number x.

We can write an equation representing the problem using x:

x+x+20=200 (because the second number is 20 more than the first, or x)

Combine like terms: 2x+20=200

Subtract 20 from each side of the equation: 2x=180

Divide by 2: x=90

The first number is 90, the second number is 110.

Hope this helps!

XYZ is a right-angled triangle. Calculate the length of XZ. Give your answer correct to 2 decimal places. PLEASE ANSWER MY QUESTION

Answers

Answer:

3.52 m

Step-by-step explanation:

The question is not complete.

Let us assume XY = 1.35 m and YZ = 3.25 m.

If XZ is the longest side of the right-angled triangle (that is the hypotenuse), we can calculate XZ using the Pythagoras theorem.

The Pythagoras theorem state that the square of the hypotenuse side is equal to the sum of the square of the other two sides of the triangle.

That is for Triangle XYZ with XZ as hypotenuse:

XZ² = XY² + YZ²

Substituting:

XZ² = 1.35² + 3.25²

XZ² = 1.8225 + 10.5625

XZ² = 12.385

XZ = √12.385 = 3.5192

XZ = 3.52 m to 2 decimal places

You are drawing two cards, without replacement, from a standard deck of 52 cards. What is the
probability of drawing a 2. then a face card (King, Queen, or Jack)?
Leave your answer in decimal form to 4 decimal places.

Answers

Answer:

Dear student,

Answer to your query is provided below

Probability of drawing a 2 at first is (4/52) = (1/13)

Probability of drawing a face card in second try without replacement = 12/51

Step-by-step explanation:

Total no. Of cards = 52

Total no. Of cards of 2 = 4

Prob. Of drawing 2 = 4/52

Total no. Of face card = 12

Total no.of cards left in deck = 51

Prob. Of drawing face card = 12/51

Sandra paid $85 for a dress that was on sale for 50% off. What was the original price of the dress?

Answers

Answer:

170$

Step-by-step explanation:

Write a coordinate proof to prove that the segment that joins the vertex angle of an isosceles triangle to the midpoint of its base is perpendicular to the base .

Answers

Answer:

Given: An Isosceles Triangle ABC with a vertex at B.

Midpoint M of the base AC.

To Prove: BM is perpendicular to AC.  

Proof:

Let the coordinates of the points of the isosceles triangle be given as:

A =  (-k, 0)

Vertex, B =  (0,a)  

C = (k, 0)

Midpoint, M = (0,0)

Slope of the base segment, AC:

[tex]=\dfrac{dy}{dx} = \dfrac{0 - 0}{k - (-k)} = \dfrac{0}{2\cdot k}[/tex]

Slope of the base segment,  AC= [tex]\dfrac{0}{2\cdot k}=0[/tex]

Slope of the segment that joins the vertex angle of an isosceles triangle to the midpoint of its base, BM.

[tex]\text{Slope of BM =} \dfrac{0 - a}{0 - 0} = \dfrac{-a}{0}\\[/tex]

[tex]\text{Slope of BM = } \dfrac{-a}{0}[/tex]  = Undefined

Two lines are perpendicular if the gradient of one is a negative reciprocal of the other.

Since [tex]-\dfrac{a}{0}[/tex] is a negative reciprocal of 0 for arbitrary values of a, BM and AC are perpendicular.

This concludes the proof.

What is the base of a triangle with a height of 14 cm and an area of 42 square cm?

Answers

Answer:

[tex]6cm[/tex]

Step-by-step explanation:

[tex]area = \frac{1}{2} \times base \times height \\ 42 = \frac{1}{2} \times b \times 14 \\ 42 = \frac{14b}{2} \\ 42 = 7b \\ \frac{42}{7} = \frac{7b}{7} \\ base = 6cm[/tex]

hope this helps

Answer:

6

Step-by-step explanation:

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