What is the inverse of the function f(x) = 4x + 8?
O h(x) = 1/4x-2
O h(x) = 1/4x+2
O h(x) = 1/2x-2
O h(x) = 1/2x+2

Answers

Answer 1

[tex]f(x)=4x+8\\y=4x+8\\x=4y+8\\\\[/tex]

Proceed the inverse. Swap the x and y.

[tex]x-8=4y\\\frac{x}{4}-\frac{8}{4}=y\\y=h(x)\\h(x)=\frac{x}{4}-2\\h(x)=\frac{1}{4}x-2[/tex]

So the answer is first one.


Related Questions

hey does anyone get this?? THANK YOU (MARKING BRAINLIEST)

Answers

Answer:

i. - 3a² + 2ab + b²

ii. 2c² + - 2cd + - 4d²

Step-by-step explanation:

i. First things first, you remove the parenthesis in both expressions to look like this:

a² − 3ab + 2b² - 4a² + 5ab − b²

Next, you add like terms.

(a² + - 4a²) + (- 3ab² + 5ab) + (2b² + - b²)

After adding these like terms, your answer would be:

- 3a² + 2ab + b²

ii. This one is pretty simply. But first, lets simplify by first removing the parenthesis to look like this:

c² - 6d² + c² - 2cd + 2d²

Then, combine like terms

(c² + c²) + (- 2cd) + (-6cd² + 2d²)

After that, your sum would be:

2c² + - 2cd + - 4d²

Hope this helps!

Answer:

see explanation

Step-by-step explanation:

i

(a² - 3ab + 2b²) + (- 4a² + 5ab - b²) ← remove parenthesis

= a² - 3ab + 2b² - 4a² + 5ab - b² ← collect like terms

= - 3a² + 2ab + b²

----------------------------------

ii

(c² - 6d²) + (c² - 2cd + 2d²) ← remove parenthesis

= c² - 6d² + c² - 2cd + 2d² ← collect like terms

= 2c² - 2cd - 4d²

a. When x = -1, what is the value of y?

Answers

Answer:

i think we need more context to this answer.  I’d love to help no need to retype. You can just message me for help :)

Step-by-step explanation:

19. If the triangle below is equilateral, write an
expression using parentheses to show the
perimeter of the triangle. Then, give the
simplified expression.
4x - 3

Answers

Answer:

Perimeter of the triangle = (12x - 9)

Step-by-step explanation:

Property of an equilateral triangle:

- All sides are equal in measure.

- All interior angles are equal.

Since, measure of one side of the triangle = (4x - 3)

And perimeter of a polygon = Sum of all sides of the polygon

Therefore, perimeter of the given triangle = (4x - 3) + (4x - 3) + (4x - 3)

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

                                                                      = (12x - 9)

Perimeter of the triangle = (12x - 9)

Coach Carmona is purchasing 6 soccer balls for his players.The unit price of the soccer balls is $29.99.The sales tax rate is 7%.Find the total tax paid

Answers

Answer: 180.36

Step-by-step explanation:

I wasn’t sure if the questions was saying each ball was 29.99 or the total of the soccer balls was 29.99 without tax.

How I got the answer:

29.99 was the cost per soccer ball and he needed 6 of them and the tax was 7% which equal up to 0.07.

29.99 times 6 = 179.94

0.07 times 6 = 0.42 (the more you buy the more the tax raises)

179 + 0.42 = 180.36

The total is 180.38

HELP PLEASE!What would happen if energy could not be transformed?

Answers

Step-by-step explanation:

If energy not transformed or changes than nothing will happen light bulb electrical energy will not converted into light energy and heat energy. ... The energy is not transformed into another form, it simply moves. It has a tendency to move, unless it is trapped, until it is released.

What’s the quotient

Answers

Answer:

a) 3/40

Step-by-step explanation:

Answer:

3/40 (3 over 40 )

Step-by-step explanation:

3 / 5 ÷ 8

3 / 5 × 1 / 8 ( when dividing fractions you need to invert and multiply invert the seccond fraction )

3 * 1 = 3 and 5 * 8 is 40

So the answer is 3/40

Question 2
1 pts
A dilation centered at the origin with a scale factor of 2 can be denoted
with the following notation: D2 (1, y) = (2x, 2y). Find D4 for point
A (-2, 3).

Answers

Given:

A dilation centered at the origin with a scale factor of 2 can be denoted

with the following notation:

[tex]D_2(x,y)=(2x,2y)[/tex].

To find:

The [tex]D_4[/tex] for point  A (-2, 3).

Solution:

If [tex]D_2(x,y)=(2x,2y)[/tex], then

[tex]D_4(x,y)=(4x,4y)[/tex]

Substitute x=-2 and y=3 in the above rule to find [tex]D_4[/tex] for point  A (-2, 3).

[tex]D_4(-2,3)=(4(-2),4(3))[/tex]

[tex]D_4(-2,3)=(-8,12)[/tex]

Therefore, [tex]D_4[/tex] for point  A (-2, 3) is (-8,12).

PLEASE, I NEED HELP ASAP!!!!!!!!
What is the equation of the line that goes through A(3,2) and B(4,1)?
a) What is the slope?
b) What is the y intercept?
c) Use a and b to write the equation

Answers

Answer:

the slope is -1

the y-intercept is 5

equation: -x+5

Step-by-step explanation:

rise/run = slope

the point that goes through the y-axis is ur y-intercept

PLEASE HELP!! (Give reasonable answer)

Answers

Answer: B

Step-by-step explanation: You just multiplying 25 with 10 and w which can be simplified as 24(w+10) and adding with the 13.5 x 10 and 13.5 x w, which can be simplified as 13.5(10+w)

Write two numbers that multiply to the value on top and add to value on bottom.

Answers

Answer: 9,5
Explanation: 9•5=45 , 9+5=14

Please help:) and please only answer if you really know the answer

Answers

The answer is x= -7


Hope it helps
B- distributive property
C- subtractions
D- divide

A cone’s height and its radius are each equal to half the radius of a sphere. How many of these cones would it take to equal the volume of the sphere?

Answers

Answer:

the answer is 32

Answer:

Wouldn't it be 2?

Step-by-step explanation:

A point is reflected across the y-axis. Jimmy says that the reflected point is \left(3.5,6\right), which means the original point was \left(3.5,-6\right). Is Jimmy's statement true or false?

Answers

Given:

A point is reflected across the y-axis. The reflected point is (3.5,6).

Jimmy says the original point is (3.5,-6).

To find:

Whether Jimmy's statement true or false

Solution:

If a point is reflected across the y-axis, then y-coordinate remains same but change the sign of x-coordinate.

[tex](x,y)\to (-x,y)[/tex]

If the reflected point is (3.5,6), then the original point must be (-3.5,6), which is not equal to (3.5,-6).

Therefore, Jimmy's statement is false.

(3-21)-(7+6) =
subtract complex numbers

Answers

Answer:

(3-21)-(7+6) = -31

Step-by-step explanation:

3-21 = -18 - 13= -31

Please answer the blanks and I will mark you brainlist if you answer it and show it why

Answers

Answer:

2 dollars

72 dollars

Step-by-step explanation:

im not completely sure

Answer:

Arianna paid $2.75 for each photo coaster. If she purchased three dozen photo coasters, how much did she spend? $99.00

Step-by-step explanation:

Evaluate the data and find the rate of change from one group to the next. Explain how you found the rate of change

Answers

for every 2.5mL the weight goes up by 12

Apples cost $0.45 per apple or $1.29 for 3. Which is the better buy?

Answers

Answer:

3 apples for 1.29

Step-by-step explanation:

If you divide 1.29 by 3, you will get 0.43 which means each apple then costs 0.43 each. This is less than 0.45 so it is the better value.

Answer:

$1.29 for 3

Step-by-step explanation:

The reason is that $0.45 per apple means for every apple, you have to pay $0.45. That eventually is going to start to add up. $1.29 for 3 means that you are paying $0.43 for 3, which means that you are saving money.

TRUE OR FALSE

The x-coordinate of the point at which the graph of an equation crosses the x-axis is a(n) x-intercept.

Answers

Answer:

TRUE

Step-by-step explanation:

GIVE ME BRAINLIEST

The point A(-6,6) is reflected over the point (0,7) and its image is point B. What are the coordinates of point B?​

Answers

Answer:  Point B is located at (6,8)

============================================================

Explanation:

Let's label (0,7) as point C.

Plot points A and C on the same coordinate system.

Note that to go from A to C, we must do two things (in either order)

go up 1 unitgo to the right 6 units

These two items will be replicated in either order to go from point C to point B.

The translation rule we follow is [tex](x,y) \to (x+6, y+1)[/tex] which is a mathematical way of saying "go right 6 and up 1". If we plug in x = -6 from point A we get to x = 0 which is the x coordinate of point C. Repeating this leads to x = 6, which is the x coordinate of point B.

Through similar arguments, we go from y = 6, to y = 7, to y = 8, when we hop from points A, to C, to B in that exact order.

Put everything together and we see that B is located at (6,8)

The diagram below provides a visual summary.

----------------------------------------------------

Extra info:

If we draw a line from point A to B, then point C will be on this line. Furthermore, AC = CB which can be proven using congruent triangles. Reflections preserve distance, meaning the distance from A to the mirror point C, is the same as from B to C as well. In short, we can say C is the midpoint of segment AB.

yes she do break even because let me show you a expression now take a number line and then you start at -16 right and then you go down the number line and then this is how it go -16 -15 -14 -13 -12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 and i just answer your Q there you go -16+16=0

Answers

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help me please. I really need it​

Answers

Answer:

Step-by-step explanation:

can you post a better pic please

Answer:

Yes it is

Step-by-step explanation:

you're going up at a constant rate of 1.5 or down at a constant rate of 1.5

Please help me---------------------------

Answers

Answer:

Using the graph, just look at the exact spot where the lines are intersecting and that point is the solution.

The solution is: (1.2, -1.6)

Step-by-step explanation:

You can also test this by plugging the values of the point into both equations.

CAN U EXPLAIN HOW TO SOLVE THIS?!

Answers

Find a right angle and multiply each side and then add them :) hope this helps

Answer:

C

Step-by-step explanation:

Use Δ ABC to find AB then Δ ABD to find DB

Δ ABC  is isosceles since ∠ CAB = ∠ CBA = 45° , then CB = CA = 2

Using Pythagoras' identity in Δ ABC , then

AB² = 2² + 2² = 4 + 4 = 8 ( take square root of both sides )

AB = [tex]\sqrt{8}[/tex] = 2[tex]\sqrt{2}[/tex]

----------------------------------------------------------------

Using the sine ratio in Δ ABD with the exact value

sin60° = [tex]\frac{\sqrt{3} }{2}[/tex] , then

sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AB}{DB}[/tex] = [tex]\frac{2\sqrt{2} }{DB}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

[tex]\sqrt{3}[/tex] × DB = 4[tex]\sqrt{2}[/tex] ( divide both sides by [tex]\sqrt{3}[/tex] )

DB = [tex]\frac{4\sqrt{2} }{\sqrt{3} }[/tex] ( multiply numerator/ denominator by [tex]\sqrt{3}[/tex] to rationalise denominator )

     = [tex]\frac{4\sqrt{2} }{\sqrt{3} }[/tex] × [tex]\frac{\sqrt{3} }{\sqrt{3} }[/tex]

     = [tex]\frac{4\sqrt{6} }{3}[/tex] → C

15 POINTS AND 5 STARS

Answers

Answer: b.

Step-by-step explanation:

Evaluate 2x

2 + y if the values of x = 3, and y = 10

Answers

Answer:

6,12

Step-by-step explanation:

i have no idea what to do

do u want me to evaluate 1 problem or 2

6,2
Do you want me to do 1 or 2 Answeres

Homework 2 parallel lines cut by a transverse

Answers

Answer:

There is no picture

Step-by-step explanation:

I am trying to find the area of my master bedroom. The measurements are 4x-3(L) 6x-6(W).


the answer keeps coming out to be Zero. And you have to have measurements for the room, so that doesn't make sense.

Substitute x as 4.​

Answers

Answer:

L= -12

W=  -36

Step-by-step explanation:

-12 x -36 = 432

so the area of your master bedroom is 432.

Use the diagram to find lengths. BP is the perpendicular bisector of AC. CQ is the perpendicular bisector of BD. AB = BC = CD.

Answers

Answer:

because every point on the perpendicular bisector of a line is equidistant from the ends of that segment => AP = PC = 8cm

Step-by-step explanation:

Which graph displays a directly proportional relationship?

Answers

Answer:

top graph

Step-by-step explanation:

The graph of a proportional relationship is a straight line passing through the origin.

The only straight line graph passing through the origin is the top one

The graph on option A displays a proportional relationship.

Option A is the correct answer.

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 equation of the line on the graph is given as:

y = mx + c ____(1)

The graph on option A.

If the equation of a line is y = mx and the slope is a unit rate the graph shows proportional relationships.

We will select two points on the graph.

i.e

(2, 2) = (a, b) and (3.3) = (c, d)

Slope:

m = (d - b) / (c - a) = 3 - 2 / 3 - 2 = 1 / 1 = 1

Let (2, 2) = (x, y) and putting in (1) we get,

2 = 1 x 2 + c

2 = 2 + c

c = 2 - 2 = 0

c = 0

The slope of the line is 1

The equation of the line is y = x

Thus,

The graph displays a proportional relationship.

Option A is the correct answer.

Learn more about equation of a line here:

https://brainly.com/question/23087740

#SPJ2

3. Which of the following equations represents a proportional relationship?

Answers

Answer:

The equation for the proportional relationship is y = 2.8x. If the relationship between two quantities is a proportional relationship, this relationship can be represented by the graph of a straight line through the origin with a slope equal to the unit rate.

Step-by-step explanation:

Answer:

Where's the equation

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