URGENT!!!
If (1,2) is a point in the graph of f(x), which ordered pair must also be on the graph of y=f(x−2)−3?

Write your answer as an ordered pair, like (a,b).

Answers

Answer 1

Final answer:

The ordered pair that must also be on the graph of y=f(x−2)−3 is (3, -1), which is the result of shifting the original point (1,2) to account for the horizontal and vertical transformations.

Explanation:

To determine the corresponding point on the graph of y=f(x−2)−3, we begin with the given point (1,2) on the graph of f(x). This point means that f(1)=2. The function y=f(x−2)−3 shifts the graph of f(x) two units to the right and three units down. Therefore, to find the x-value for the new function that will give us the y-value of 2, we add 2 to the original x-value of 1, giving us 3. Then to find the new y-value, we subtract 3 from the original y-value of 2, giving us -1. So the new point is (3, -1).

Answer 2
Final Answer:

The ordered pair that must also be on the graph of y = f(x−2)−3, given that (1,2) is a point on the graph of f(x), is (-1, -1).

Explanation:

When you have the transformation y = f(x−2)−3, it implies two transformations are applied to the original function f(x): a shift to the right by 2 units and a downward shift by 3 units. To find the corresponding point on the transformed graph, we need to reverse these transformations.

 

The original point (1,2) on the graph of f(x) represents f(1) = 2. Applying the transformation x−2 shifts the x-coordinate by 2 units to the right, resulting in f(1−2) = f(-1). This gives us the x-coordinate for the transformed point on y = f(x−2)−3.

To account for the downward shift by 3 units, we subtract 3 from the y-coordinate of the original point. Hence, f(1) = 2 becomes f(1)−3 = 2−3 = -1. This provides the y-coordinate for the transformed point on y = f(x−2)−3.

Therefore, combining the x and y coordinates, the point (-1, -1) corresponds to (1,2) on the graph of f(x), satisfying the transformations of x−2 and -3 on y, hence making it a point on the graph of y = f(x−2)−3.


Related Questions

jamie buys 5 books for $7 each draw an array and write a multiplication equation to find the total cost of the book

Answers

Answer:

The total cost of book using array multiplication is 35$

Solution:

Jamie buys 5 books for 7$. So draw array multiplication table using 5 rows and 7 columns (see the figure attached below)

By counting the number of rows and number of objects in each row from the figure attached below, we get the total cost of the book.

Total cost = number of rows [tex]\times[/tex] total number of objects in each row

Total cost = 5 [tex]\times[/tex] 7 = 35

Age of car = 2 years.
Original cost = $14,995.
The current market value is $

Answers

Answer:

7,497.50 OR, 7,497 &1/2 in fraction form

Step-by-step explanation:

I got this answer by dividing 14,995 by 2 and got $7,497.50 hope this helps you mark as brailiest if best answer if any questions comment on this question below!! ThNks !!

Answer:

7,497.50

Step-by-step explanation:

is the solution of this equation extraneous?

Answers

Answer:

x = - 3 is extraneous

Step-by-step explanation:

Given

[tex]\sqrt{x+7}[/tex] - 1 = x  ( add 1 to both sides )

[tex]\sqrt{x+7}[/tex] = x + 1 ( square both sides )

x + 7 = (x + 1)² ← distribute right side

x + 7 = x² + 2x + 1 ( subtract x + 7 from both sides )

0 = x² + x - 6 ← in standard form

0 = (x + 3)(x - 2) ← in factored form

Equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

x - 2 = 0 ⇒ x = 2

As a check

Substitute these values into the equation and if both sides are equal then they are the solutions.

x = - 3 : [tex]\sqrt{-3+7}[/tex] - 1 = [tex]\sqrt{4}[/tex] - 1 = 2 - 1 = 1 ≠ - 3

x = 2 : [tex]\sqrt{2+7}[/tex] - 1  = [tex]\sqrt{9}[/tex] - 1 = 3 - 1 = 2

x = 2 is a solution and x = - 3 is extraneous

Good morning ☕️

____________________

Step-by-step explanation:

Look at the photo below for the answer.

:)

Lourdes is making a frame in the shape of a parallelogram. She adds diagonal braces to strengthen the frame. Parallelogram A B C D is shown. Diagonals are drawn from point A to point C and from point D to point B and intersect at point E. The length of D E is (3 y + 6) centimeters, the length of E B is (5 y minus 10) centimeters, and the length of E C is (2 y + 4) centimeters. How long is the brace that connects points B and D? 8 cm 16 cm 30 cm 60 cm

Answers

Answer:

60 cm

Step-by-step explanation:

Parallelogram ABCD is shown in attached diagram. The diagonals of the parallelogram bisect each other, so

AE = EC

BE = ED

Ib DE = 3y + 6 cm, BE = 5y - 10 cm, then

[tex]3y+6=5y-10\\ \\3y-5y=-10-6\\ \\-2y=-16\\ \\2y=16\\ \\y=8\ cm[/tex]

Now, EC = 2y + 4, so

[tex]EC=2\cdot 8+4=16+4=20\ cm[/tex]

Since AE = EC, then AE = 20 cm

The brace that connects points B and D has the length

[tex]BD=BE+ED=3y+6+5y-10=8y-4=8\cdot 8-4=64-4=60\ cm[/tex]

The brace that connects points A and C has the length

[tex]AC=AE+EC=20+20=40\ cm[/tex]

Answer:

60cm

Step-by-step explanation:

Which two whole numbers lies between the square root of 445?

Answers

the square root of 445 is 21.095 so the two whole numbers could be 20 and 21

Is 0.6 repeated irrational?

Answers

Answer:

no. it is not because 0.6 is a decimal

simplify 3x + 6 x 2 - 5 x - x2​

Answers

Answer:

5x^2 − 2x

Step-by-step explanation:

Let's simplify step-by-step.

=3x + 6x^2 + − 5x + − x^2

Combine Like Terms:

=3x + 6x^2 + − 5x + − x^2

=( 6x^2 + − x^2 ) + ( 3x + − 5x )

= 5x^2 + − 2x

Answer:

5x^2 − 2x

hope this helps!!

There are 300 passengers on board an airplane. 2/3 of them are men, 1/4 are women and the rest are children. How many children are there?

Answers

Answer:

25.

Step-by-step explanation:

2/3 of 300 is 200

1/4 of 300 is 75

Answer:

25

Step-by-step explanation:

2/3 of 300 is 200  

1/4 of 300 is 75

Given the function, d(t) = 50t, the variable t represents which of the following? Select all that apply. input output function independent variable dependend variable

will give brainlyist if you want it

Answers

Answer:

Input

Independent variable

Step-by-step explanation:

we know that

Independent variables, are the values that can be changed or controlled in a given model or equation

Dependent variables, are the values that result from the independent variables

we have the function

[tex]d(t)=50t[/tex]

In this problem

The function d(t) represent the dependent variable or the output

The variable t represent the independent variable or input

Answer:

input and independet variable                                        

Step-by-step explanation:

The line passing through the point (-2,5)and (1,a) is perpendicular to the line 2x-y-5=0, find the value of a​

Answers

Answer:

a = 7/2

Step-by-step explanation:

2x - y - 5 = 0

2x = y + 5

y = 2x - 5

m = -1/2

y - 5 = -1/2(x - (-2))

y - 5 = -1/2(x + 2)

y - 5 = -x/2 - 1

y = -x/2 + 4

a = -1/2 + 4

a = 7/2

88.6 as a mixed number

Answers

88.6 as a mixed number is 14 2/3

4 thousands 7 hundreds = 47 _​

Answers

Answer:

4700

Step-by-step explanation:

4 thousands = 4000

7 hundreds = 700

Add those numbers together and you get 4700

Hope this helps

7. Change the fraction 13/20 to a decimal.

Answers

Answer:

divide it using a calculator

Answer:

Step-by-step explanation:

0.65 is your answer

Plz help me I need help

Answers

Answer:

Step-by-step explanation:

Which of the following correctly names one of the vertices of the triangle
below?
ОА. 2
O B. LI
O c.
D. AZLM

Answers

Answer:

/\zlm is the correct answer for this kind of questions because the other answer over there aren't having any truth

How many 4 1/2 meters of ribbon are there in a 140 meter spool?​

Answers

Answer:

in a 140 meter spool there are 31 1/9 times 4 1/2 meters of ribbon

Step-by-step explanation:

To find out how many 4 1/2 meters of ribbon are there in a 140 meter spool, divide 140 meter by 4 1/2 meter, but first convert mixed number to an improper fraction

[tex]4\frac{1}{2}=\frac{4*2+1}{2}=\frac{9}{2}[/tex]

[tex]\frac{140}{(9/2)}=\frac{280}{9}[/tex]

Convert to mixed number

[tex]\frac{280}{9}=\frac{279}{9}+\frac{1}{9}=31\frac{1}{9}\ times[/tex]

therefore

in a 140 meter spool there are 31 1/9 times 4 1/2 meters of ribbon

Prove that the quadrilateral with vertices (2,5) (4,8) (7,6) and (5,3) is a rectangel

Answers

Answer: Line slopes:

m1= 3/2 defined by points (5,3) and (7,6)

m2= -2/3 defined by points (7,6) and (4,8)

m3 = 3/2 defined by points (4,8) and (2,5)

m4 = -2/3 defined by points (2,5) and (5,3)

All comply the orthogonal slopes rule (90º)

Step-by-step explanation:

As those 4 point define a polygon, to check is that polygon is a rectangle, you need to compare the slopes of the lines defined by the 4 points and check that accomplish the following rule:

m1 = -(1/m2). this shows that the slopes are intersected in 90º angle.

Final answer:

By calculating the dot products of the direction vectors for adjacent sides, all of which are zero, and checking the distances of opposite sides, which are equal, we prove that the given quadrilateral is a rectangle.

Explanation:

To prove that a quadrilateral with given vertices is a rectangle, we must show that the quadrilateral has four right angles and opposite sides are equal. A right angle exists between two sides if the dot product of their direction vectors is zero, as this indicates perpendicularity. Equal length of opposite sides can be shown by the distance formula. We are given the vertices of the quadrilateral: (2,5), (4,8), (7,6), and (5,3).

Calculate the direction vectors of adjacent sides:

AB: (4-2, 8-5) = (2,3)

BC: (7-4, 6-8) = (3,-2)

CD: (7-5, 6-3) = (2,3)

DA: (2-5, 5-3) = (-3,2)

Check the dot products of the direction vectors of adjacent sides to confirm right angles:

AB · BC = (2)(3) + (3)(-2) = 6 - 6 = 0

BC · CD = (3)(2) + (-2)(3) = 6 - 6 = 0

CD · DA = (2)(-3) + (3)(2) = -6 + 6 = 0

DA · AB = (-3)(2) + (2)(3) = -6 + 6 = 0

Use the distance formula to confirm equal lengths of opposite sides:

AB = √((4-2)² + (8-5)²) = √(13)

CD = √((7-5)² + (6-3)²) = √(13)

BC = √((7-4)² + (6-8)²) = √(13)

DA = √((2-5)² + (5-3)²) = √(13)

Since all adjacent sides are perpendicular and opposite sides are of equal length, the quadrilateral is a rectangle.

What is the solution to the equation below?
5 + 6x = 2x - 7
A. x = -3
B. X = 1.5
C. x= -1.5
D. X = 3

Answers

[tex]\huge\boxed{\text{A.}\ x=-3}[/tex]

Start by subtracting [tex]2x[/tex] from both sides of the equation. Our goal is to isolate the variable. [tex]5+4x=-7[/tex]

Now, subtract [tex]5[/tex] on both sides. [tex]4x=-12[/tex]

Finally, divide both sides by [tex]4[/tex]. [tex]x=\boxed{-3}[/tex]

Answer:

A. x = -3

Step-by-step explanation:

5 + 6x = 2x - 7

5 + 7 = 2x - 6x

12 = -4x

12/-4 = x

-3 = x

HELP PLEASE !

Consider the graph of the linear function hy
5. Which could you change to move the graph down 3 uns?
the value of b to-3
the value of m to -3
the value of b to 2
the value of m to 2

Answers

Answer:

b=2

Step-by-step explanation:

Changing the y-intercept would move the graph down or up.

So we have the equation [tex]y=\frac{-2}{3}x+5[/tex].

We want to move the graph down 3 units.  We want the y-intercept to be 3 units lower than what is was.  Since 5-3 is 2, then the new y-intercept is 2.

The equation would  then be [tex]y=\frac{-2}{3}x+2[/tex].

So b=2.

what is the value of 6*7-3^2*9+4^3
please show work will give 5 stars and brainliest ​

Answers

-615

I'm assuming you meant this. (6*7) - (3^2) *(9+4^3)

(42) - (3^2) * (9+4^3)

(42) - (9) * (9+4^3)

(42) - (9) * (9+64)

(42) - (9) * (73)

42 - 657

-615

Hope this helps!

The length of a school bus is 12.6meters.if 9 school buses park end to end with 2meters between each one, what’s the total length from the front of the first bus to the end of the last bus?

Answers

First, 12.6 times 9 is 113.4. So withouth the space, that is how long the busses are. Then you do 2meters times 8 is 16 meters between the busses. 113.4+16 equals 129.4, the final answer.

Answer:  The total length from the front of the first bus to the end of the last bus is 129.4 meters.

Step-by-step explanation:

Hi, to answer this question we have to multiply:

The number of buses by the length of each one

12.6 x 9 = 113.4 meters

The number of spaces between buses by the length of each space.

Since there is no space in front of the first bus and behind the last bus, there are 8 spaces in between.

8 x 2 = 16 Adding both results: 16 + 113.4 =129.4 meters front to back

Feel free to ask for more if needed or if you did not understand something.  

Solve x2+6x=7 by completing the square.Which is the solution set of the equation?

Answers

Answer:

x = - 7, x = 1

Step-by-step explanation:

Given

x² + 6x = 7

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(3)x + 9 = 7 + 9

(x + 3)² = 16 ( take the square root of both sides )

x + 3 = ± [tex]\sqrt{16}[/tex] = ± 4 ( subtract 3 from both sides )

x = - 3 ± 4

x = - 3 - 4 = - 7

x = - 3 + 4 = 1

Solution set = { - 7, 1 }

Two numbers have a GCF of 6 one is 24 the other number is less than 30 what could the other number be ?

Answers

The other number could be 6. The GCF of 6 and 24 is 6, and 6 is less than 30.

(8,5) and (x, -1); slope: -6

Answers

Answer:

9 = x; (9, -1)

Step-by-step explanation:

-y₁ + y₂\-x₁ + x₂ = m

-5 - 1\-8 + x

-8 + x = 1

+8 + 8

_________

x = 9

The denominator is set to equal one because the numerator already equals negative six, and all we have to do is divide it by a POSITIVE one to stay at negative six.

I am joyous to assist you anytime.

Triangle E F G is shown. Which statements regarding Triangle E F G are true? Select three options. E F + F G greater-than E G E G + F G greater-than E F E G minus F G less-than E F E F minus F G greater-than E G E G + E F less-than F G

Answers

Final answer:

The properties of triangle side lengths follow the Triangle Inequality Theorem, which states that the sum of any two sides of a triangle must be greater than the third side, leading to three correct inequalities for Triangle EFG.

Explanation:

The question presented is related to the properties of triangle sides, specifically in relation to the inequality theorems that apply to triangles.

By understanding these properties, we can determine which statements about the lengths of the sides in triangle EFG are true.

The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

This theorem gives rise to three inequalities that must hold true for any triangle:

EF + FG > EGEG + FG > EFEG + EF > FG

To assess which statements about Triangle EFG are true, we can compare them against the principles derived from the Triangle Inequality Theorem.

The following are the correct statements based on this theorem:

EF + FG > EGEG + FG > EFEG - FG < EF

Any statement that contradicts these principles is false.

Therefore, the three true statements regarding Triangle EFG are that EF + FG is greater than EG, EG + FG is greater than EF, and EG - FG is less than EF.

The three true statements regarding Triangle EFG are:
- EF + FG > EG
- EG + FG > EF
- EG + EF < FG

Let's go through each option one by one:

1. E F + F G greater-than E G: To determine if this statement is true, we need to compare the lengths of EF and EG combined with FG. Let's say EF is 5 units long, FG is 3 units long, and EG is 7 units long. In this case, 5 + 3 is equal to 8, which is greater than 7. Therefore, this statement is true.

2. E G + F G greater-than E F: Similarly, to determine if this statement is true, we need to compare the lengths of EG and FG combined with EF. Using the same lengths as before, 7 + 3 is equal to 10, which is greater than 5. Therefore, this statement is true as well.

3. E G minus F G less-than E F: For this statement, we need to subtract the length of FG from EG and compare it to EF. Using the same lengths as before, 7 - 3 is equal to 4, which is less than 5. Therefore, this statement is false.

4. E F minus F G greater-than E G: Here, we need to subtract the length of FG from EF and compare it to EG. Using the same lengths as before, 5 - 3 is equal to 2, which is less than 7. Therefore, this statement is false.

5. E G + E F less-than F G: To check this statement, we need to compare the lengths of EG and EF combined with FG. Using the same lengths as before, 7 + 5 is equal to 12, which is greater than 3. Therefore, this statement is true.

Complete question :-

Evaluate 3(x-4)+2x-x^2 for x=5

Answers

Answer:

-12

Step-by-step explanation:

3(x-4)+2x^2

when x =5 , sub 5 into x

3(5-4)+2(5)-(5)^2

=15-12+10-25

=-12

Answer:

Step-by-step explanation:

3(x-4)+2x-x^2 first you should eliminate the parentheses

3x-12+2x-x^2 now replace x for 5

3(5)-12+2(5)-(5)^2

15-12+10-25

-12

What is the answers of 2ft × 4ft

Answers

Answer:

8ft.

Step-by-step explanation: If you are finding he area, 2 times 4 equals 8, so the answer would be 8 feet.

8

8 is the answer because 4x2 by itself is 8

A faucet is leaking at a rate of 4.2 milliliter per minute. How many gallons of water does the faucet leak per day? Use 1 L = 0.26 gal. Explain how you solved this problem

Answers

Final answer:

To find out the volume of water leaked per day by a leaking faucet, we convert the given rate from milliliters per minute to gallons per day. The faucet leaks at a rate of 4.2 milliliters per minute. By multiplying this rate by the number of minutes in a day, we find that it leaks 6048 milliliters per day. After converting milliliters to liters and liters to gallons using conversion factors, we determine that the faucet leaks 1.57328 gallons of water per day.

Explanation:

To find out how many gallons of water the faucet leaks per day, we need to determine the volume in milliliters and convert it to gallons. The given rate is 4.2 milliliters per minute, so we need to find the number of minutes in a day. There are 60 minutes in an hour and 24 hours in a day, so there are 60 x 24 = 1440 minutes in a day.

Multiplying the rate by the number of minutes in a day, we get 4.2 x 1440 = 6048 milliliters per day. To convert milliliters to liters, we divide by 1000, so 6048 / 1000 = 6.048 liters per day. Finally, to convert liters to gallons, we multiply by the conversion factor 0.26, resulting in 6.048 x 0.26 = 1.57328 gallons per day.

Learn more about Converting units of volume here:

https://brainly.com/question/31428833

#SPJ2

Solve the equation for X x+3/6 = x - 6 /3

Answers

Final answer:

The equation x + 3/6 = x - 6/3 cannot be solved for x, as simplification leads to 1/2 = -2, which is not possible, indicating a mistake in the provided equation.

Explanation:

To solve the equation x + 3/6 = x - 6/3 for x, let's first simplify each side of the equation by reducing the fractions. This gives us:

x + 1/2 = x - 2

At this point, we can see that the variable x appears on both sides of the equation. To solve for x, we would normally try to isolate x on one side. However, if we attempt to subtract x from both sides, we will get:

1/2 = -2

This statement is not true, indicating that the original equation was incorrect or improperly written. If the equation only involved x on one side, we could use algebraic techniques to solve for x, but as it stands with this impossible equality, we cannot find a value for x that satisfies the equation. Therefore, it seems there may be a mistake in the transcription of the original problem.

If you are writing an equivalent expression for 2^3 times 2^4, how many times would you write two as a factor?

Answers

Answer:

[tex]2^3(2^4)=2^{3+4}=2^7=2(2)(2)(2)(2)(2)(2)[/tex]

Step-by-step explanation:

You can write 2 as a factor of [tex]2^3 \times 2^4[/tex] 7 times

The given expression can be written mathematically as:

[tex]2^3 \times 2^4[/tex]

We can simplify the expression by using the rule of indices shown below:

[tex]a^b \times a^b = a^{b+c}[/tex]

Applying the rule above to the given expression:

[tex]2^3 \times 2^4\\\\2^{3+4}\\\\2^7[/tex]

Therefore [tex]2^3 \times 2^4 = 2^7[/tex]

You can write 2 as a factor of [tex]2^3 \times 2^4[/tex] 7 times

Learn more here: https://brainly.com/question/24282237

Other Questions
The condition of irrotationality for a two-dimensional flow is satisfied when rotation w everywhere is (less than equal to more than) zero. "The last time I bought this product, it cost $20.00 but it looks like it costs $29.60 today. Why such a large increase?"Employee: "The cost to make the product increased, so our company decided to increase the price by _______ ." The series of physical changes in which a childs body matures and develops the ability to sexually reproduce is called? When a 20-lb weight is suspended from a spring, the spring is stretched a distance of 1 in. Determine the natural frequency and the period of vibration for a 30-lb weight attached to the same spring A certain brand of upright freezer is available in three different rated capacities: 16 ft3, 18 ft3, and 20 ft3. Let X = the rated capacity of a freezer of this brand sold at a certain store. Suppose that X has the following pmf.x 16 18 20p(x) 0.5 0.3 0.2Calculate E(X) Determine if the following system is linear and/or time-invariant y(t) = cos(3t) x(t) Vehicle gasoline has many slightly different compositions depending on local laws. However, on average it has a density of 0.737 kg/L. This morning you pumped 7.2 gallons of gasoline in order to fill up your fuel tank. How much mass have you added to your car, in kilograms?1 gal = 3.785 LUse appropriate Sig Figs in answer! How did the Sumerians increase food production? Select the two correct answers.A.They brought in rich soil from beyond Mesopotamia.B.They imported new types of crops from Europe.C.They irrigated dry land to expand their farmlands. D.They used oxen-drawn plows and seed funnels to plant crops more quickly and easily.E.They relied solely on slave labor to increase food production. What fibers surround the xylem and phloem? Give their functions. DeWayne has decided to seek psychotherapy for some personal difficulties he has been having. While on the telephone with one possible clinician, he asks her to describe the kind of treatment approach that she uses with clients. "I dont limit myself to a single theory or approach," the therapist answers. "Instead I operate in a(n) _________ fashion, integrating various treatment approaches based on the specific needs of each client." Lifestyle habits that can have a profound influence on health and on physiological age include _____. a. following a meat-based eating pattern b. engaging in physical activity weekly c. avoiding all forms of alcohol d. getting at least six hours of sleep each night e. having a sense of purpose 4.How was the practice of Christianity different in the Byzantine Empire different from that in the west? PromptDo you think sending a portrait would carry the same weight in today's society? Do you think if the President sent his pictureto an ally of the United States, it would reaffirm any relationship? How is it different today? How has society changed itsperception of authority? "" In order to produce 100 oatmeal cookies, GoodieCookieCo incurs an average total cost of $0.25 per cookie. The companys marginal cost is constant at $0.10 for all oatmeal cookies produced. The total cost to produce 50 oatmeal cookies is: A British literature instructor examines the number of class periods his students have missed by mid-terms and has the following data: 1, 0, 10, 0, 2, 1, 0, 0, 5, 2, 3, 0, 0, 0, 1, 1, 2, 3, 1, 2. What is the median for this data set? Whats the GCF of 26 and 34? Help me !!!!!!!!!!!!!!!!!!!!!!!!!! A patient is ordered 25 mg/kg/day of a drug that comes in 250 mg tablets. The patient weighs 90 kg. The dose is to be divided into 3 daily doses and the patient is to take the medications for 15 days. How many tablets should be dispensed? DO NOT include units The Songhai Empire was responsible for the end of the ___ Empire. Egyptian Ghana Mali Sudanic What is meant by the thickness to chord ratio of an aerofoil?