If answered correctly, I will give brainliest and 30 points. i also need this asap.
The linear functions f(x) and g(x) are represented on the graph, where g(x) is a transformation of f(x):

A graph with two linear functions; f of x passes through 5, 0 and 10, 10, and g of x passes through negative 3, 0 and 2, 10.

Part A: Describe two types of transformations that can be used to transform f(x) to g(x). (2 points)

Part B: Solve for k in each type of transformation. (4 points)

Part C: Write an equation for each type of transformation that can be used to transform f(x) to g(x). (4 points)

Answers

Answer 1

Answer:

First, let's find the equations for our lines:

A linear relationship can be written as:

y = a*x + b

where a is the slope and b is the y-axis intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

f(x) passes through (5,0) and (10, 10), then the slope is:

a = (10 - 0)/(10 - 5) = 10/5 = 2.

then we have:

y = 2*x + b

And when x = 5, we have y = 0.

0 = 2*5 + b

0 = 10 + b

b = -10

Then the equation for f(x) is:

y = f(x) = 2*x - 10.

Now for g(x) we have the points:

(3, 0) and (2, 10)

a = (10 - 0)/(2 - 3) = -10

y = -10*x + b

0 = -10*3 + b

b = 30.

y = g(x) = -10*x + 30.

A) Ok, the transformations:

Transformation 1 or T1.

f(x) = 2*x - 10

g(x) = -10*x + 30.

Then, we start with f(x):

First, we can move f(x) up 4 units and get:

f'(x) = 2*X - 6

Now we can dilate f(x) with a scale factor of -5 from the origin, now we get:

f''(x) = -5*f'(x) = -10*x + 30.

And this is g(x).

Transformation 2 or T2.

Move f(x) up 10 units, so now we have:

f'(x) = 2*x

Do a reflection over the x-axis, so the sign of y changes, and now we get:

f''(x) = -2*x

Do a dilation of scale factor 5

f'''(x) = 5*-2*x = -10*x

Now do a vertical translation of 30 units up.

f''''(x) = -10*x + 30 = g(x).

These are two transformations that start with f(x) and end with g(x).

B) Ok, as i was writting the transformations i already solved them, so this part is already done.

C) the equation for the transformations are:

T1) g(x) = -5*(f(x) + 4)

T2) g(x) =  -(f(x) + 10)*5 + 30

Answer 2
hmm can’t see the questions

Related Questions

Here is an inequality 4y > 1.2 Which value of y from the { -0.5, -0.3, 0.3, .05 } makes the inequality true?

Answers

Answer:

[tex]y = 0.5[/tex]

Step-by-step explanation:

Given

[tex]4y > 1.2[/tex]

Required

Which value of y from [tex]\{ -0.5, -0.3, 0.3, 0.5 \}[/tex] makes the inequality true

First, we need to solve the inequality:

[tex]4y > 1.2[/tex]

Divide through by 4

[tex]\frac{4y}{4} > \frac{1.2}{4}[/tex]

[tex]y > \frac{1.2}{4}[/tex]

[tex]y > 0.3[/tex]

This means that the value of y that makes the inequality true is greater than 0.3.

From the list: [tex]\{ -0.5, -0.3, 0.3, 0.5 \}[/tex]

Only 0.5 is greater than 0.3.

Hence:

[tex]y = 0.5[/tex]

A company is designing a square prism. It's height is 3 yards longer than a side of its base. The volume of the prism must be 20 cubic yards. (V=l*w*h) Write a representative function for the volume of the solid

Answers

Answer:

l³+3l - 20 = 0

Step-by-step explanation:

Given the volume of a prism expressed as;

V = lwh

l is the length of the prism

w is the width

h is the height of the prism

Since the prism is square based, l = w

The formula becomes

V = l²h

If its height is 3 yards longer than a side of its base, then h = l+3

V = l²(l+3)

V= l³+3l

Given V = 20yd³

The expression becomes

20 = l³+3l

l³+3l - 20 = 0

Hence the representative function for the volume of the solid is l³+3l - 20 = 0

Wendella the dog is weighed every week with her collar on. This weight in pounds is represented by p. The collar weighs 2 pounds. Which expression represents the weight of Wendella without her collar on?

Answers

Answer:

p - 2

Step-by-step explanation:

Because the collar weighs two pounds, to find how much the dog would weigh without the collar, you simply have to subtract two pounds from the final count, represented by p.

Answer:

take the 2 pounds off the dog's regular weight

A person invests $6,650 in an account that earns 5.23% annual interest compounded continuously. Find
when the value of the investment reaches $15,000. If necessary round to the nearest tenth.

The investment will be reach $15,000 in approximately ______ years.

Answers

44 years which would be 15302.98

The price of a pair of shoes increases from $52 to $80. What is the percent increase to the nearest percent?

Answers

Step-by-step explanation:

Price increase = $80 - $52 = $28.

Percentage increase = ($28/$52) * 100%

= 53.8% = 54%. (nearest percent)

Answer:

53%

Step-by-step explanation:

Which equation represents the pattern in the table?

Answers

you can’t see the pattern in the table, you only took a picture of two of the answer choices



Japanese students go to school about 66% of the
days of the year. About how many school days do Japanese students
have in a 365-day year?

Answers

Answer:

240.9 (241)

Step-by-step explanation:

66% of 365 is 240.9, which can be simplified to 241 days of 365.

the answer is 240.9 hope this helps

Solve the following expression 8 + (-20)

Answers

Answer:

-12

Step-by-step explanation:

integer rule = when a + and - comes it is indicated as - so ..

8-20 = -12

we put a minus sighnbecause 20 is the bigger number  

Answer:

-12

Step-by-step explanation:

Note the rules of the signs:

If there are two positive signs next to each other, the resulting sign will be positive. Example + (+  ).

If there is one negative sign and one positive sign directly next to each other, the resulting sign will be negative Example - (+  ) or + (-  ).

If there are two negative signs directly next to each other, the resulting sign will be positive. Example - (-  ).

In this case, there is one negative, and one positive sign. Subtract 8 with 20:

8 + (-20) = 8 - 20 = -12

-12 is your answer.

~

24x0. 6x1. 21x2. 11x5

Answers

Answer:

24

6

42

55

Step-by-step explanation:

Answer:

24×0=0

6×1=6

21×2=42

11×5=55

Plzzzzz give me Brainliest!!!!!  

I need help with this one it does not make scene

Answers

Step-by-step explanation:

[tex] {x}^{2} - 3x + 4 + 4 {x}^{2} - (x + 12)[/tex]

[tex]5 {x}^{2} - 4x - 8[/tex]

PLz help an show work for brainlist

Answers

Step-by-step explanation:

Its option D

As, for red $12 is charged

So 35 x $12 = 420

And white is $10

So, 20 x 10 = $200

= $420 + $200 = $620

Hope this helps

-4x + 7 = 11
I forgot how to do this and my little sister needs help

Answers

Answer:

-1

Step-by-step explanation:

Answer:

x = -1

Step-by-step explanation:

-4x + 7 = 11

       -7

-4x = 4

divide by -4

x = -1

Please help desperate due today please help

Answers

Answer should be 26!

What is the constant term in the expression 6x3y + 8x2 + 5x + 7? (Input a numeric value only.)

Answers

Answer:

The constant term in the expression is 7

plz give brainlist

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

am smart

Plz help me !!!!!!!!!!!!!

Answers

Answer:

It's D ...

hope it helps

I’m pretty sure it’s D

Solve the following system using the Elimination Method; 6x+y=10 and 2x+y=12.

Answers

Hey there!

The solution to the system is [tex](\frac{1}{2}, 13)[/tex]

To solve the system, we can multiply the second equation by -1:

[tex]-2x - y = -12[/tex]

Then, we add the two equations together, and solve for x:

[tex]4x = -2[/tex]

[tex]x = \frac{-1}{2}[/tex]

Now, we plug the x value into one of the equations, and solve for y:

[tex]2(\frac{1}{2} ) + y = 12[/tex]

[tex]-2 + y = 12[/tex]

[tex]y = 13[/tex]

Now we know that the solution to the system is [tex](\frac{1}{2}, 13)[/tex]

Hope it helps and have an amazing day!

Answer:

(-1/2, 13)

Step-by-step explanation:

Multiply the 2nd equation by -1, obtaining the following system:

6x + y = 10

-2x  - y = -12

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

Combine like terms, obtaining:

6x + y = 10

-2x  - y = -12

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

4x     = -2

Dividing both sides by 4 yields x = -2/4, or x = -1/2

Substituting -1/2 for x in the second equation yields:

2(-1/2) + y = 12, or

-1 + y = 12.  Then y = 13, and the solution is

(-1/2, 13)

Markuo had 20 minutes to do a three-problem quiz. He spent 10 1 4 minutes on question A and 6 4 5 minutes on question B. How much time did he have left for question C?

Answers

It’s question b bro it’s so easy it’s 6-3

Name the property illustrated. 69 + 0 = 69

Answers

Answer:

zero property of addition

Step-by-step explanation:

Sam worked on his science fair project for 1/4 hour on Friday in 1/2 hour on Saturday what are the four common denominators which are less than 20 for the fractions complete exclamation

Answers

Answer:

there is 4, 8, 12, and 16. those are denominators

Answer this correctly, and recieve brainliest!

Answers

Answer:

The last one or

a+8=16

Step-by-step explanation:

Subsitute a for 8 and solve

Answer:

Step-by-step explanation:

the last one

8+8=16

a+8=16

what is preferred stock

Answers

Answer:

A form of stock which may have any combination of features not possessed by common stock including properties of both an equity and a debt instrument, and is generally considered a hybrid instrument.

Step-by-step explanation:

Every kid in Mr. Levans's 3rd grade class made a valentine for every kid in the class, including themselves. If the class made a total of 484 valentines, how many kids are in the class?

Answers

Answer:

The answer is 22

Step-by-step explanation:

mia i was there for u all the time i literally helped u and ur mom pay off stuff and you tell me you dont wanna be friends anymore cus im black? thats so disgusting and hurtful bc a 7 yr friendship is down the drain because of my skin color ur dad is black inculding your grandpa so what do u mean just bc you look white dont mean u are ur mixed. so the fact u would even have the audacity to say that hurts me pretty bad and ik you wouldnt say that to ur dad.

Answers

Answer:

:( we will all be here for you m :)

Step-by-step explanation:

Answer:

Ong she woulda had to see the hand.

Step-by-step explanation:

...

Jackie has a collection of stamps and coins. The total number of stamps and coins is 81. The number of coins is one more than three times the number of stamps. Find out how many stamps and coins Jackie has. Part A: Write let statements that represent the variables in this situation (2 points) Part B: Set up a system of equations that you can use to solve this problem? (2 points) Part C: Solve the system from (b) by using either substitution or elimination *show all solving steps*. (4 points) Part D: Write a solution statement answering the question

Answers

Answer:

Jackie collected 61 coins and 20 stamps

Step-by-step explanation:

Solving (a): Variable representation

Let the coins be represented with c

Let the stamps be represented with s

Solving (b): Setup equation

Total is 81. This implies that:

[tex]s + c = 81[/tex]

Also:

[tex]c = 1 + 3s[/tex]

Solving (c): Solve the system

Substitute 1 + 3s for c in [tex]s + c = 81[/tex]

[tex]s + 1 + 3s = 81[/tex]

Collect Like Terms

[tex]s + 3s = 81-1[/tex]

[tex]4s= 80[/tex]

Divide both sides by 4

[tex]s = \frac{80}{4}[/tex]

[tex]s= 20[/tex]

Substitute 20 for s in [tex]c = 1 + 3s[/tex]

[tex]c = 1 + 3 * 20[/tex]

[tex]c = 1 + 60[/tex]

[tex]c = 61[/tex]

Solving (d): Solution statement

Jackie collected 61 coins and 20 stamps

Subject:Mathematics ​

Answers

The vertex
Blah blah blah 20 characters longggggg

BRAINLIEST! URGENT! Please help me with this problem, also if you dont know the answer and just typed in some random stuff, it will be reported...dont steal points.​

Answers

Answer:

The answer is C, -2/3

Step-by-step explanation:

The answer is C) -2/3

I NEED THE ANSWER ASAP!!!

Answers

Answer:

I think the answer is J

Step-by-step explanation:

Help it due ASAP........

Answers

Answer: C. ∠5 and ∠6

Step-by-step explanation:

They are linear pairs meaning they form a straight line.

Angles that form a straight line are ALWAYS supplementary (they add up to 180°)

Hope this helped!

arnold wants to make chocolate chip cookies. his recipe calls for 5 cups of flour. his spoon holds 1/6 cup of flour. how many times will arnold need to fill his spoon to get the 5 cups of flour? group of answer choices

Answers

Answer:

30 times

Step-by-step explanation:

It will take 6 spoonfuls to make one cup of flour, so you multiply 6 by 5 to get 30 spoonfuls.

Hope this helps

52 ÷ 5 + (42 ∙ 2) – 36 ÷ 9

Answers

the answer to that is 21

Answer:

Step-by-step explanation:

42x 2 = 84

52/5= 10.4

-36/9=-4

10.4+84-4=90.4

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