Let the graph of g be a horizontal shrink by a factor of 1/6 and a reflection in the x-axis, followed by a translation 2 units down of the graph of f(x)=x^2. write a rule for g.

Answers

Answer 1

Answer:

Step-by-step explanation:

A function s is the HORIZONTAL SHRINK of a function h by a factor k

if s(x) = h(kx)

It is called a shrink, because for k > 1 that has the effect of compressing

the function h towards the y-axis.

I find the problem statement a little confusing because

using k = 1/6 would result in stretching, not shrinking.

Therefore my guess is that the author means k = 6.

A function r is a REFLECTION of a function h in the x-axis

if r(x) = -h(x).

The reason is that r looks like a mirror image of h,

where the mirror is the x-axis.

A function t is a TRANSLATION 2 units down of a function h

if t(x) = h(x) - 2.

The graph of t looks like h, except shifted down 2 units.

Applying the definitions to your function f:

g(x) = -f(6x) - 2 = -36x^2 - 2


Related Questions

5)40 is 77% of what number.
6) in Minnesota sales tax is 6.875%.what is the total (including tax) on items that total $178.46?

Answers

Answer:

5. 34% 6. $190.73

Step-by-step explanation:

trust man just trust

Answer:

5) 52

6) $190.73

Step-by-step explanation:

5)

Let the unknown number be x.

40 is 77% of x

40 = 0.77x

Divide both sides by 0.77

x = 52

Answer: the number is 52.

6)

We first calculate the amount of tax which is 6.875% of $178.46.

6.875% of $178.46 =

= 0.06875 * $178.46

= $12.27

The amount of tax is $12.27.

Now we add the amount of tax to the price before tax.

$178.46 + $12.27 = $190.73

suppose y varies directly as x. if y= -7 when x=-14 find x when y=10.

Answers

Answer:

x=20

Step-by-step explanation:

we see that the connection between y and x is that y is always 1/2 as much as x.

Four bags of chips cost $12. How much do 7 bags of chips cost?

Answers

Answer:

4 bags cost 12 = 3 each bag so 3 x 7 = 21$

Step-by-step explanation:

If four bags of chips cost $12 it would be
12/4 = $3 per bag

So 7 bags x $3 = $21

Hope this helped :)

Plz help I’m on a deadline I will give Brain list !!!!!!!

Answers

Answer:

find it out

Step-by-step explanation:

answer: 3,300
explanation: 22,300 - 2500 = 19,800
19,800 divided by 6 = 3,300
( i’m not sure if i’m correct )

Find x
8(x-27)+49=87+28x

Answers

Answer:

x = -12.7

Step-by-step explanation:

[tex]8(x-27)+49=87+28x\\\\8x-167=87+28x\\\\8x-167+167=87+28x+167\\\\8x=28x+254\\\\8x-28x=28x-28x+254\\\\-20x=254\\\\\frac{-20x=254}{-20}\\\\ \boxed{x=-12.7}[/tex]

Hope this helps.

Answer:

x=-127/10 or x= -12.7

Step-by-step explanation:

8(x−27)+49=87+28x

Step 1: Simplify both sides of the equation.

8(x−27)+49=87+28x

(8)(x)+(8)(−27)+49=87+28x(Distribute)

8x+−216+49=87+28x

(8x)+(−216+49)=28x+87(Combine Like Terms)

8x+−167=28x+87

8x−167=28x+87

Step 2: Subtract 28x from both sides.

8x−167−28x=28x+87−28x

−20x−167=87

Step 3: Add 167 to both sides.

−20x−167+167=87+167

−20x=254

Step 4: Divide both sides by -20.

−20x/−20

=

254/−20

x=

−127/10

Whos better

Rod wave or polo G

And whats 12x12

Answers

Answer:

rod wave and 144 for sure

Step-by-step explanation:

rod wave is fat which means he is better

Answer:

12x12 is 144

Step-by-step explanatio

The restaurant serves breakfast from 6 AM until 10:30 AM. They sell six every 15 minutes. Should the restaurant expect to sell more than or fewer than 100 omelettes? Explain your answer.

Answers

Answer:

The restaurant expect to sell more than 100 omelets

Answer:

They will certainly Sell more than 100.

Step-by-step explanation: Okay first we know that 15 can go into 60 4 times,4 x 4 is 16 + 2 (so we can make sure it is exactly equivalent to 4 and a half hours that is why we added 2) is 18. Multiply 6 x 18 to get the number of Omelletes sold, we get 108 Omellets sold, that is more than 100. So the answer should be More than 100 omelletes!

Question 1 of 10
What is the solution to this equation?
X- 13 = -4
A. x=-9
B. x= 17
C. x = 9
D. x=-17

Answers

It’s c because if you subtract 9 from both sides you will get -4.

Can someone just help me !

Answers

Answer:

[tex]\sqrt{a} 900[/tex] - 2

Step-by-step explanation:

I won't be answering using words.

1.     (3a+2a)(6a²+1-3)

2.    (5a)(6a²-2)

3.    6a² × 5a - 2 × 5a

4.    6a × 6a × 5a - 2 × 5a

5.    180a × 5a - 2

6.    900a - 2

7.    [tex]\sqrt{a} 900[/tex] - 2

Area of the circle. Leave your answer in terms of pi.

Answers

Answer:

3.1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825 3421170679

Step-by-step explanation:

by google

“The total of eight times a number and five"​

Answers

Answer:

8x + 40

Step-by-step explanation:

8(x+5)

8 times x = 8x

8 times 5 = 40

Answer:

8 x____=5  i got 0.625 as a decimal and 5/8 as a fraction, i dont even know if thats the answer u were looking for but ok, Hope this helps  ;D

Step-by-step explanation:

Help me pls. I do not understand this 25 points

Find the area of the following in the picture

Answers

Answer:there is no picture

Step-by-step explanation:

Help me solve this problem please please

Answers

Answer:

to find the h value you have to use the equation B

What is the product of 1 1/2 and -1 1/4

Answers

Answer:

-1 7/8 is the answer to this

Answer:

The answer for the question above is -1 7/8.

Carmen ran one mile in 7 minutes. At this rate, how long will it take her to run 5 miles?

Answers

Answer:

35 minutes.

Step-by-step explanation:

Just multiply 7 minutes by 5 miles.

Answer:

It will take Carmen 35 minuets to run 5 miles.

Please answer this question for me

Answers

Answer:

11, 12 is right

Step-by-step explanation:

if you do the equation the answer is 11.7473etc, and is in the middle of 11 and 12

Answer:

you marked the right one

Step-by-step explanation:

Each morning Soriano buys coffee and donut holes for his employees and clients. The following system represents the amount of coffee and donut holes bought this morning and the amount of money that he spent (in dollars). In the system, represents the number of cups of coffee that he bought and the number of cups of donut holes that he bought.

c+d=60

2.5+1.75=123.75

Part A: How many cups of coffee and donut holes did Soriano buy this morning?

Part B: How much does each cup of coffee cost?

Part C: How much does each cup of donut holes cost?

Part D: How much did Soriano spend in coffee and donut holes?

Part E: Use the elimination method to solve the system and determine the number of cups of coffee and donut holes that Soriano bought this morning.

Answers

Answer:

Part A: 60

Part B: Each cup of coffee costs 2.5 dollars

Part C: Each donut costs 1.75 dollars

Part D: Sonario spent 123.75 dollars in coffee and donut holes

Part E: The number of cups of coffee bought are 25 cups of coffee

The number of donut holes bought are 35 donut holes

Step-by-step explanation:

The given parameters are;

c + d = 60

2.5 × c + 1.75 × d = 123.75

Part A

Whereby the number of cups of coffee bought = c, and the number of donut holes bought = d, then, the total number of cups of coffee and donuts bought is c + d = 60

Part B:

From the second equation for the total cost of cups of coffee and holes of donuts, the coefficient multiplying the variable representing an item is the cost of the item

Therefore, each cup of coffee costs 2.5 dollars

Part C:

Using the method from above, each donut costs 1.75 dollars

Part D:

From the equation for the total cost, Sonario spent 123.75 dollars in coffee and donut holes

Part E:

By the elimination method, we have;

c + d = 60

∴ c = 60 - d

Eliminating c in the equation for the total cost gives;

2.5 × c + 1.75 × d = 2.5 × (60 - d) + 1.75 × d = 123.75

150 - 2.5·d + 1.75·d = 150 - 0.75·d = 123.75

150 - 123.75 = 0.75·d

26.25 = 0.75·d

d = 26.25/0.78 = 35

d = 35

c = 60 - d = 60 - 35 = 25

c = 25

∴ c = The number of cups of coffee bought = 25 cups of coffee

d = The number of donut holes bought = 35 donut holes

If the movie theater seats 328 people, what is the maximum amount of money the theater can bring in during a show?

Answers

Answer:

328 multiplied by the ticket price.

Step-by-step explanation:

If you are to lazy to do the math by multiplying 328 by 12 (like me) you can use a calculator. BUT since you are reading this, here this is the answer.

                           Answer: 3936                                      

                       YOU'RE WELCOME

Mrs. Van and her family went bowling. The total cost of the shoes was $12 and the cost to bowl was $5 per game. Write an equation y, the cost of bowling and x the number of games they played.

Answers

y=5x+12

hope i could help!

Need help?!!??!!!!!!!

Answers

Answer:

Step-by-step explanation:

m : n = 2 :1

A(1 , 3 )    ;  x₁  = 1 & y₁ = 3

 B(7, 8)     ; x₂ = 7  & y₂ = 8

Required Point = [tex](\frac{mx_{2}+nx_{1}}{m+n},\frac{my_{2}+ny_{1}}{m+n})[/tex]

                        [tex]=(\frac{2*7+1*1}{2+1},\frac{2*8+1*3}{2+1})\\\\=(\frac{14+1}{3},\frac{16+3}{3})\\\\\\=(\frac{15}{3},\frac{19}{3})\\=(5,6.3)[/tex]

URGENT!!
A golf ball is hit with an initial velocity of 80 feet per second. H= -16t^2 + 80t.
1) When will the ball reach 48ft?
2) When will the ball reach 110ft?

Answers

9514 1404 393

Answer:

t = 0.697 secondsnever (the maximum height is 100 ft)

Step-by-step explanation:

A graphing calculator provides a nice solution to this question.

__

1) Put 48 ft in for H and solve for t:

  48 = -16t^2 +80t

  -3 = t^2 -5t

  3.25 = t^2 -5t +6.25 = (t -2.5)^2

  t = 2.5 ±√3.25

The ball will first reach 48 feet at t = 2.5 -√3.25 ≈ 0.697224 seconds.

__

2) The equation tells us the maximum height occurs at t=2.5 seconds. That height is ...

  H = -16(2.5^2) +80(2.5) = 100

The maximum height is 100 feet. The ball will never reach 110 feet.

2
The figure shows how the yard lines on a football field are numbered. The goal lines
are labeled G. A referee was standing on a certain yard line as the first quarter ended.
3
He walked 41 yards to a yard line with the same number as the one he had just left.
4
How far was the referee from the nearest goal line? Express your answer as a
simplified mixed number.

Answers

9514 1404 393

Answer:

  29 1/8 yards

Step-by-step explanation:

If the ref is distance 'd' from the goal line, after walking 41 3/4 yards to the same yard line at the other end of the field, he will also be at distance d from that goal line.

Hence the total ...

  d + 41 3/4 + d

will be the length of the field between goal lines, 100 yards.

  2d +41 3/4 = 100

  2d = 58 1/4 . . . . . . subtract 41 3/4

  d = 29 1/8 . . . . . . . divide by 2

The referee was 29 1/8 yards from the nearest goal line.

Answer:

29 1/8

Step-by-step explanation:

YOU WILL DO YOU GOOD LUCK

True or false? A theorem is a statement that can be easily proved using a
corollary
A. True
B. False
The answer is B, False

Answers

Answer:

yeah it's B. false :)

Step-by-step explanation:

and to answer the other answer, it's just to help other people if the question isn't already on brainly

Corrupted by their power, the judges running the popular game show America’s Next Top Mathematician have been taking bribes from many of the contestants. During each of two episodes, a given contestant is either allowed to stay on the show or is kicked off. If the contestant has been bribing the judges, she will be allowed to stay with probability 1. If the contestant has not been bribing the judges, she will be allowed to stay with probability 1/3, independent of what happens in earlier episodes. Suppose that 1/4 of the contestants have been bribing the judges. The same contestants bribe the judges in both rounds. (a) If you pick a random contestant who was allowed to stay during the first episode, what is the probability that she was bribing the judges? (b) If you pick a random contestant, what is the probability that she is allowed to stay during both episodes? (c) If you pick a random contestant who was allowed to stay during the first episode, what is the probability that she ge

Answers

Answer:

(a) The probability that a contestant allowed to stay in the first episode is 0.5

(b) The probability that a contestant will be allowed to stay during both is 0.25

Step-by-step explanation:

The given parameters are;

The probability that a contestant who has been bribing the judges will be allowed to stay = 1

The probability that a contestant who has mot been bribing the judges will be allowed to stay = 1/3

The proportion of the contestant that has been bribing the judges = 1/4

The contestant who bribe the judges in the first round = The contestants who bribe the judges in the second round

(a) Let the total number of contestants = x

Therefore;

The number of contestants in the second round = x/4 + 1/3×(x - x/4) = x/2

Which gives that, half of the contestants make it to the second round

The probability that a contestant allowed to stay in the first episode, Pₐ₁, is given as follows;

Probability = (The number of required outcome)/(The number of possible outcome)

∴ Pₐ₁ = (x/4)/(x/2) = 2/4 = 1/2 = 0.5

The probability that a contestant allowed to stay in the first episode = 0.5

(b) The probability that a contestant will be allowed to stay during both episode, Pₐ₁₂ is given as follows;

The number of contestant that will be allowed to stay after each episode = 1/2×(The number contestant in the previous episode)

Therefore;

The number of contestant that will be allowed to stay after the first episode = 1/2 × x = x/2

The number of contestant that will be allowed to stay after the second episode = 1/2 × x/2 = x/4

Therefore, the number of contestant that will be allowed to stay after both episode = x/4

Pₐ₁₂ = (The number of contestant that will be allowed to stay after both episode)/(The total number of contestants)

∴ Pₐ₁₂ = (x/4)/x  = 1/4 = 0.25

The probability that a contestant will be allowed to stay during both = 0.25.

Z=3x+3 solve for x.

Z=2+3r solve for x.

Answers

Answer:

1. X= 1/3 z -1

2. X= 1/3z + -2/3

Step-by-step explanation:

z=3x+3

Step 1: Flip the equation.

3x+3=z

Step 2: Add -3 to both sides.

3x+3+−3=z+−3

3x=z−3

Step 3: Divide both sides by 3.

3x/3 = z-3/3

Step 1: Flip the equation.

3r+2=z

Step 2: Add -2 to both sides.

3r+2+−2=z+−2

3r=z−2

Step 3: Divide both sides by 3.

3r/ 3 = z-2/3

The length of a rectangle is 4 times its width. Write three different expressions to describe its perimeter. Explain how you wrote each expression. ​

Answers

Answer:

2(4x+x)

Step-by-step explanation:

Kaiwan sold 40 tickets for Young Baby Durk NBA for the Howard Homecoming concert. He sold general admission tickets for twenty dollars each and VIP tickets for thirty dollars each. He collected eight hundred and eighty dollars. How many of each kind of ticket did Kaiwan sell?

Answers

Answer:

number of general admission tickets sold = 32

Number of VIP tickets sold = 8

Step-by-step explanation:

Total Number of tickets = 40

Cost of general admission tickets = $20

Cost of VIP tickets = $30

Total revenue = $880

Let

x = number of general admission tickets sold

y = number of VIP tickets sold

The equations are:

x + y = 40 (1)

20x + 30y = 880 (2)

From (1)

x = 40 - y

Substitute x = 40 - y into (2)

20x + 30y = 880

20(40 - y) + 30y = 880

800 - 20y + 30y = 880

10y = 880 - 800

10y = 80

y = 80 / 10

= 8

y = 8

Substitute y = 8 into (1)

x + y = 40

x + 8 = 40

x = 40 - 8

= 32

x = 32

number of general admission tickets sold = 32

Number of VIP tickets sold = 8

please help... thank you.

Answers

Answer:

5

Step-by-step explanation:

nearest whole number for 24 16/17= 25, nearest whole number for 4 8/9= 5, 25/5=5

The double number line below shows the approximate number of pounds in a certain number of kilograms: Based on the nunber line, about how many pounds are there In 4.5 kilograms?

1. 8

2. 9

3. 10

4. 11

Answers

The answer would be number 3 or 10

Estimate. 5. 8% of 40

Answers

i would say the answer is 2.32
I don’t know which is your question but here
8% of 40 is 3.2
Estimate it : 3

5.8% of 40 is 2.32
Estimate it : 2
Other Questions
Which of the following is a health problem that occurs as a result of malnutrition in older adults?A.fatigueB.weak immune systemC.depressionD.all of the above 4/10g+3/10 -10/10g -5/30 -20/30= Vijays wages were increased from 115 per week to 130 per week.What was the percentage increase to one decimal place?NO SILLY ANSWERS OR REPORT! wanan1. How did the Great Awakening and the Enlightenment contribute to revolutionarythought? The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side. The lengths of two sides of the triangle are 13 feet and 23 feet. Find the possible lengths of the third side. Determine the y-intercept of the following parabola:y = 3x2 - 12x - 5 Which factor BEST explains the recent increase in the number of undocumented teenage immigrants in the United States from Central American countries? The circumference of a circle can be found using the formula C = 2tr. Every quarter, the Food and Drug Administration (FDA) produces a report called the Total Diet Study. The FDA's report covers a variety of food items, each of which is analyzed for potentially harmful chemical compounds. A Total Diet Study reported that no pesticides at all were found in % of the domestically produced food samples. Consider a sample of food items analyzed for the presence of pesticides. Complete parts a and b. a. Compute and for the random variable x, the number of food items found that showed no trace of pesticide. nothing (Type an integer or a decimal.) 2.(03.01)The range of the following relation R {(3,-2), (1, 2), (-1,-4), (-1, 2)} is (1 point)O {-1, 1, 3}O {-1,-1, 1, 3}O {-4, -2, 2, 2)O {-4, -2, 2}I will mark as brainliest Will give Brainliest, like, comment and 10 points to best answerCould you help me with this please? Will ice melt faster in salt, sugar or water? Which question is not answered by the Article?AWhat are the goals of the group Sameer established when he was in high school?BWhat methods does Sameer teach to help educators become allies to LGBTQstudents?CHow did Sameer create a more inclusive environment at his former middle school?DHow does Sameer plan to put his methods into practice as he gets older? what song do you relate to the most atm? Step One: Create a budget. You can use a spreadsheet, budget software, online budget tools, or a pencil and paper. Remember, to create a budget, you enter income and calculate the total, enter the expenses and calculate the total, and subtract the expenses from the income.Step Two: It is now the next month, May. The Spencers have spent money and earned another month's worth of income. Update your budget with the following expenses in May. Keep the original expenses.Expenses Mayshort-term savings $0long-term savings $0rent/insurance $700car payment $350utilities $140tv/cable $100cell phones $100clothing $230entertainment/recreation/eating out $260credit card (balance=$1200) $50miscellaneous expenses $130Step Three: Answer the following: In what areas did the Spencers overspend? What changes would you make to their spending?Step Four: You probably noticed that the Spencer family is not putting money in their savings account. This would be a good idea since their financial goal is to buy a house. Make adjustments to the budget so that they have money going into short-term savings. INDEPENDENT PRACTICEA rotating sprinkler spins and shoots water out a distance of 9 feet. What is the approximate area that isbeing watered by the sprinkler?A. 28 ft?B. 80 ft9 ftC. 154 ft?D. 254 ft? Peter says, "If you subtract 13 from my number and multiply the difference by -3, the result is- 69." What is Peter's number? help plz idk it ughhhhhhhhhhhhh please help its due in a couple of min 2. Which of the following is a major idea in the Constitution?