Write the function rule for each function reflected in the given axis.
f(x)=2 x-4 ; x - axis

Answers

Answer 1

The given function is f(x) = 2x-4,

We have to find the equation where the reflection of this function is over the x-axis.

There are two types of reflections in general when we talk about functions;

One reflection is over the x-axisThe other is over the y-axis.

Now we take an example that we are provided with a point with coordinates (x, y). If we want to reflect it over the x-axis, then the coordinates of this point will become (x, -y). This is because the values of y are negative when we move above the x-axis and positive when we move below the x-axis and vice versa.

The equation to show this is: y = -f(x).

We multiply the entire function, f(x), to find it by a negative. Since f(x) = 2x-4, the transformed function is f(x) = -2x+4.

Therefore, the function rule for the function shown is -f(x).

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Related Questions

The table shows the race time for Jon, who competed in three different youth triathlons.

A 4-column table with 4 rows titled Jon's Youth triathlon results. Column 1 is labeled Month with entries May, June, August. Column 2 is labeled Swim times (minutes) with entries 10.06, 9.5, 8.25. Column 3 is labeled Bike times (minutes) With entries 15.05, 13.0, 12.75. Column 4 is labeled Run times (minutes) with entries 24.25, 23.7, 22.01.

What is Jon’s total time for the June triathlon?

9 . 5
1 3 . 0
+ 2 3 . 7

Answers

Adding the June amounts from the given table, his total time is of 46.2 minutes.

What is his June's total time?

The times for the month of June are given by the second row, hence:

Swim: 9.5 minutes.Bike: 13 minutes.Run times: 23.7 minutes.

Hence the total time is given as follows:

9.5 + 13 + 23.7 = 46.2 minutes.

His total time is of 46.2 minutes.

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Answer: 46.2 minutes.

Step-by-step explanation:

=2×10⁸+10⁷/ 7x10⁴x10³ ​

Answers

Answer:

answer is =3

Step-by-step explanation:

2*100000000+10000000/7*10000*1000

=210000000/70000000

=3

Find the percent change. Andy's bank account went from $99 to $70.

Answers

The percentage of $99 to $70 is -29.29.The percentage change of $99 to $70 is decreases.

How to find the percentage change of Andy's bank account?

given that

the Andy's bank account went from $99 to $70.

The previous value is $99.

The new value is $70.

A percentage is a figure or ratio stated as a fraction of 100 in mathematics. It is generally represents by the percent sign, "%."

The most reliable indicator of percent change is the percent of growth or decrease. Calculations are frequently used to determine how much something has changed,

so the

change = original - new = $99 - $70 = -29

[tex]percentage = \frac{ - 29}{99} \times 100[/tex]

percentage = -29.29.

Hence,The percentage change of $99 to $70 is decreases.

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Why do you think that it is important to learn about points, lines, and planes?

Answers

Points lines and plane together are the undefined teerms that provide the base for geometry . the definition must be a word whose meaning is accepted as intiutively clear as that meaning is accepted without definition this words are called undefined terms . Although these terms are not defined in a broad way it is used for defining other terms but a small description is needed .

POINTS is the most fundamental object in geometry just like cell is the basic unit of life . A point just looks like a dot and is named by a variable the objecive of the point is to represent a position only .It has zero size .

LINES A straight line can be a medium connecting a set of infinetly many points . it extends infinitely in opposite direction . It has infinte lenght , no widht , no height .The symbol ↔  denotes that line , a line can also be denoted with a smaller letter .

PLANES It is considered as a set of infinite points joining to form a flat surface extending in all directions infinetly it has undefined lenght widht and no height . A single capital letter is used to denote a plane .

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COORDINATE GEOMETRY Find the distance from P to l .Line l contains points (0,-2) and (1,3) . Point P has coordinates (-4,4) .

Answers

According to the given statement the perpendicular distance form the point  (-4,4)  is 66.3.

What Exactly Is Coordinate Geometry?

Coordinate Geometry can be used to define points in space. The primary axis labeled a x- and y-axes is defined first, and then the points were measured and labelled in relation to these points. Furthermore, numerous geometric forms such as a line, curve, circle, ellipse, and hyperbola can be plotted inside the coordinate axes and their attributes studied.

According to the given data:

the equation for line ℓ.

Begin by finding the slope of the line through the given points,(0,-2) and (1,3):

m = (Y₂ - Y₁)/(x₂ - x₁)

  = (3 - (-2))/(1 - 0)

  = 5/1

  = 5

The equation of the line using point (1,3) on the line:

Y - Y₁ = m(x - x₁)

putting value we get: (m = 5)

Y - (-2) = 5(x - 1)

Y + 2 =  5x - 5

Y  = 5x - 3

The equation of the line w perpendicular to line ℓ through P(-4,4).

The slop of line l is 5. Write the equation of the line using point P(-4,4) on the line.

Y - Y₁ = m(x - x₁)

Y - 4 = 5(x - (-4))

Y - 4 = 5x + 4

Y = 5x + 8

Solve the system of equations to determine the point of intersection. Subtract both sides of (1) and (2) to eliminate y.

5x + 8 = 5x - 3

5x + 8 - 5x + 3 = 0

x = 11

putting the value of x to find y:

Y = 5x + 8

Y = 62

Applying the formula to find the distance of a points:'

[tex]d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

d = √((11 - 4 )² + (62 + 4)²)

d = √(4405)

d = 66.3

According to the given statement the perpendicular distance form the point  (-4,4)  is 66.3.

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Petra jogs 3 miles in 30 minutes. At this rate, how long would it take her to jog 12 miles?

Petra would take
minutes to jog 12 miles.

Answers

Answer:

So she takes around 10 minutes to jog 1 mile. So 12 miles would take her 122 minutes

The price of a DVD is $6.5. It increase by 10% then another 30%
Use a multiplier and do this in only multiplying 2 times

Thanks for helping

Answers

Answer:

$6.5*1.1*1.3 = $9.30

Given

Initial price = $6.5First increase = 10%Second increase = 30%

Solution

Price after first increase:

6.5 + 10% = 6.5 + 6.5*10/100 = 6.5*(1 + 0.1) = 6.5*1.1 =7.15

Price after second increase:

7.15 + 30% = 7.15 + 7.15*30/100 = 7.15(1 + 0.3) = 7.15*1.03 = 9.30 (rounded to the nearest cent)

The two steps above can be combined as:

$6.5*1.1*1.3 = $9.30


Do invariant points sometimes, always, or never occur in a rotation? Explain your reasoning.

Answers

Points that map onto themselves are said to be invariant points. Invariant points can occasionally appear during a rotation.

Do rotations have invariant points?

The axis of rotation is a line of invariant points that defines the rotation of a three-dimensional figure in space. Since rotation does not alter the shape of the figure being rotated, it is referred to as an isometric transformation along with translation and reflection.

Points that map onto themselves are said to be invariant points. Invariant points can occasionally appear during a rotation.

The point of rotation is invariant when a figure is rotated about that point. There are no invariant points in a rotation of a figure centered on a point that is not on the figure.

Point P is an invariant point in the rotation shown below.

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HELP ME so I'm really bad at math patterns anyways Queen Diana slays and I really need help look at the picture and please help me it's a quiz so I'm making lots of Bowl accounts cuz I don't know how to do multiple answers just please y'all please ​

Answers

Answer:

Option 3

Step-by-step explanation:

I need help please I don’t get it

Answers

Answer:

4 or 1

Step-by-step explanation:

100%

u got this hope it helps

4 in.
4 in.
What is the volume of this container?

Answers

If you still need it, the answer is 56in^3

Given the following linear function, determine the slope of a line perpendicular to f(x) : f(x)=2/7x - 9

Answers

Answer:

f(x):f(x)=2/7x-9

Step-by-step explanation:

If it is wrong than i am sorry

PLS HELP ME WITH THIS I BEG?!!!!

Answers

Answer: m<JKM=70 degrees

Step-by-step explanation:

JKM=JKL+LKM

JKM=42+28

JKM=70

m<JKM=70 degrees

A company makes desks, coffee tables, and corner tables. Each item uses units of wood, fabric, and stuffing.

Desks use 50 units of wood, 40 units of fabric, and 45 units of stuffing.
Coffee tables use 30 units of wood, 15 units of fabric, and 10 units of stuffing.
Corner tables use 5 units of wood, 5 units of fabric, and 5 units of stuffing.
There are 690 units of wood, 620 units of fabric, and 510 units of stuffing available to make the items.

Which three equations are needed to find the largest number of x desks, y coffee tables, and z corner tables that can be made?

Drag and drop the correct equations into the box.

Answers

Answer: 50x+30y+5z= 690

              40x+15y+5z= 620

              45x+10y+5z= 510        

Step-by-step explanation: The first equation to find units of wood, the second is for the units of fabric, and the third is for the units of stuffing.

Paris is preparing for the 2024 Olympics. Their newly built single-depth olympic size swimming pool (50m by 25m by 2m) needs to be filled up. If the water bill is equivalent to $1 per 1000 gallons, roughly how many dollars will it cost to fill up the pool?

Answers

There will be 660.425 dollars cost to fill up the pool.

The newly built single-depth olympic size swimming pool (50m by 25m by 2m) needs to be filled up.

Here,

Length of swimming pool = 50m

Width of swimming pool = 25m

Depth of swimming pool = 2m

What is the volume of the cuboid?

The volume of a cuboid is equal to the product of the length, width, and height of a cuboid.

The volume of a cuboid is length × breadth× height

As it is 3D geometry

The volume will be L×W×H i.e. 50×25×2 = 2500 m³

Since one cubic meter is equal to 264.172052 gallons,

So 2500 m³ = 264.17 × 2500 = 660425 gallons

If the water bill is equivalent to $1 per 1000 gallons

So 660425/1000 = 660.425

Hence, there will be 660.425 dollars cost to fill up the pool.

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Factor out of the coefficent of the variables term
The expression 15/4+3/8xfactored is what?

Answers

Answer:

your answer is 33/8

Step-by-step explanation:

Answer:

fgehjenrntktkktmttbtbvtvt

13. A model rocket is fired vertically into the air at 250 ft/s. The expression -16t² + 250t gives the rocket's
height after t seconds. Factor this expression.

Answers

Answer: X+7=19 what is x

Step-by-step explanation:


What is the length of the hypotenuse of a 45°-45°-90° triangle if the leg length is 6 centimeters?

Answers

The length of the hypotenuse of a 45°-45°- 90° triangle with a leg length of 6 centimeters is 8.49 approximately.

To find the hypotenuse of 45°-45°-90° triangle:

The formula to calculate the hypotenuse of 45°-45°-90°  triangle is to multiply the length of the leg by [tex]\sqrt{2}[/tex].

How to find the length of the hypotenuse?

The length of the two legs of 45°-45°-90° triangle is equal.

Then the length of its hypotenuse will be calculated by multiplying the length of the leg and [tex]\sqrt{2}[/tex] .

Since the length of the leg is 6 centimeters,

Then its hypotenuse will be:

h = 6 × [tex]\sqrt{2}[/tex]

h = 8.485

h ≈ 8.49

So, the length of the hypotenuse will be 8.49.

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NEED HELP ASAP! will rate 5 stars!!

Answers

A or D but i reckon A

What is the least common denominator of 3/4 and 15/16

Answers

The least common denominator of 3/4 and 15/16 is 16.

What is Least Common Denominator?When two or more fractions are given, the least common denominator is the smallest number of all common multiples of the denominators. To find the least common denominator, list the multiples of both denominators until you find the smallest multiple shared by both. Because 28 is the first shared multiple of 4 and 7, it must be the least common denominator of these two fractions.

So, LCD od 3/4 and 15/16:

3/4 × 4/4 = 12/1615/16 × 1/1 = 15/16

Now, the denominator of both the fractions is the same which is 16.

Therefore, the least common denominator of 3/4 and 15/16 is 16.

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Describe a sequence of translations, rotations, and
reflections that takes polygon P to polygon Q.
Use the digital tracing paper if it helps you with your
thinking?

Answers

The polygon P is translated and rotated respectively to obtain polygon Q.

A translation is a geometric transformation when each point in a figure, shape, or space is moved in a specific direction by the same amount. A translation can also be thought of as moving the origin of the coordinate system or as adding a constant vector to each point.

Each point in a figure is transformed into a rotation by rotating it a specific amount of degrees around another point.

ABCD and EFGH are polygons P and Q respectively.

We will briefly outline each step required to convert each Polygon P into its corresponding Polygon Q in this question.

In this case, there is translation along a vector between point A and point H.

Then, when the polygon Q is rotated around point H.

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=) Let d be the distance the car has traveled
and lett be the time it has traveled, in
hours, set up a proportion relating d and t
and solve it for the variable d.

Answers

Answer:

guy yunby

Step-by-step explanation:

Huh uu.

mr mechoui is raising sheep. He has approximately 800 before going to bed he counts them by 10 by 12 and by 15 each time he finds the exact number. how many sheep does he have exactly ?

Answers

He has 780 sheep.

To find the answer, you need to check the multiples of 10, 12 and 15 and find the common multiple just below 800.

!!!!!!!URGENT PLEASE!!!!!!!!!

Answers

The  area of the given sector is 98.2 sq. units.

What is area of a sector?

The area of a sector is the space inside the section of the circle created by two radii and an arc.

The area of a sector is a fraction of the area of the entire circle.

Mathematically, the area of a sector is given as;

A = θ/360 (πr²)

where;

r is the radius of the circleθ is the angle subtended by the sector

The area of the given sector is calculated as follows;

In the given diagram, θ = 50⁰, r = ST = UT = 15 units

A = (50/360) x (π x 15²)

A = 98.2 sq. units

Thus, the  area of the given sector is 98.2 sq. units.

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Given g(x) = -x − 3, find g(-3).

Answers

Answer:

0

Step-by-step explanation:

g(-3) = -(-3)-3

Which of the following is not a step that can help you establish and maintain a good credit history?
a. Open a bank account.
b. Purchase a cell phone contract and pay it on time and in full every month.
c. Make car payments and car insurance on time.
d. Open many credit card accounts.
e. All of the above steps help establish good credit history.

Answers

Answer:

e, all of the above steps help establish good credit history

Step-by-step explanation:

Answer: E.

Hope this helps.

Please help me with this.

Answers

Step-by-step explanation:

a)

high positive x (x going to +infinity) would create high positive y (also +infinity).

while high negative x (x going to -infinity) would create high negative y (also -infinity), x⁵ with its odd exponent is negative for negative x and positive for positive x.

the graph is showing just the opposite behavior.

so, it cannot be the right graph.

b)

the degree of the polynomial is the highest exponent of the input variable x. in our case : 5

a polynomial of degree n must have n zeros (or roots).

in our case we need 5 zeros. but there are only 3. no matter how we shift it up or down, the x-axis will not intercept it more than 3 times.

so it cannot be the right graph.

Evaluate f(-3) for

f(x) = 3x + 6

Question 1 options:

-3


10


0


30

Answers

Answer:

The answer is -3

Step-by-step explanation:

f(-3)=3(-3)+6

f(-3)=-9+6

f(-3)=-3

Answer:the answer is -3, the first option (top to bottom)

Step-by-step explanation:

Find f(-3) as shown below

the answer is -3, the first option (top to bottom).

Given the original statement "If a number is negative, the additive inverse is positive,” which are true? Select three options.

If p = a number is negative and q = the additive inverse is positive, the original statement is p → q.
If p = a number is negative and q = the additive inverse is positive, the inverse of the original statement is ~p → ~q.
If p = a number is negative and q = the additive inverse is positive, the converse of the original statement is ~q → ~p.
If q = a number is negative and p = the additive inverse is positive, the contrapositive of the original statement is ~p → ~q.
If q = a number is negative and p = the additive inverse is positive, the converse of the original statement is q →

Answers

The true statements are

If p = a number is negative and q = the additive inverse is positive, the original statement is p → q.If p = a number is negative and q = the additive inverse is positive, the inverse of the original statement is ~p → ~q.If q = a number is negative and p = the additive inverse is positive, the converse of the original statement is q → q

How to determine the true statement?

The original statement is given as:

If a number is negative, the additive inverse is positive

This can be represented as

If p, then q

i.e. if p → q

So, (a) is correct

For the inverse, we simply negate the hypothesis and the conclusion

i.e. if ¬p → ¬q ----(b) is correct

For the converse, we simply switch the hypothesis and the conclusion

i.e. if q → p ----(e) is correct

Hence, the true statements are (a), (b) and (e)

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Which expression is equivalent to quantity negative three and one fourth times d plus three fifths end quantity minus quantity two and seven eighths times d plus seven tenths end quantity? negative forty nine over 8 times d minus one tenth forty nine over eight times d minus one tenth negative three eighths times d minus one and three tenths negative three eighths times d minus one tenth

Answers

Answer:

Step-by-step explanatio                                                                                                     -3/8d-1 3/8

The expression "quantity negative three and one fourth times d plus three fifths end quantity minus quantity two and seven eighths times d plus seven tenths end quantity" or (-3 1/4d + 3/5) - (2 7/8d + 7/10) is equivalent to "negative forty nine over 8 times d minus one tenth" or -49/8d - 1/10.

An algebraic expression is a number, variable, or the combination of both and operational symbols.

To determine the equivalent of the expression "quantity negative three and one fourth times d plus three fifths end quantity minus quantity two and seven eighths times d plus seven tenths end quantity" or simply (-3 1/4d + 3/5) - (2 7/8d + 7/10), combine all like terms and perform the necessary operations.

(-3 1/4d + 3/5) - (2 7/8d + 7/10)

⇒ -3 1/4d + 3/5 - 2 7/8d - 7/10

⇒ (-3 1/4 - 2 7/8)d + 3/5 - 7/10

⇒ (-13/4 - 23/8)d + 6/10 - 7/10

⇒ (-26/8 - 23/8)d - 1/10

-49/8 d - 1/10

Hence, the equivalent expression is "negative forty nine over 8 times d minus one tenth" or -49/8d - 1/10.

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