In your lab, a substance's temperature has been observed to follow the function T(x) = (x − 4)3 + 6. The turning point of the graph is where the substance changes from a liquid to a gas. Using complete sentences in your written answer, explain to your fellow scientists how to find the turning point of this function. Hint: The turning point of the graph is similar to the vertex of a quadratic function.

Answers

Answer 1

Answer:Look below

Step-by-step explanation:

f(x) = x^3

g(x) = f(x-4) which shifts f(x) 4 units to the right

g(x) = (x-4)^3

h(x) = g(x) + 6 shift g(x) 6 units up

h(x) = (x-4)^3 + 6

The turning point of f(x) is at (0,0),  then shift  4 units to the right and 6 units up, I got (4,6)


Related Questions

A bag contains pennies nickels dimes and quarters. There are 50 coins in all. Of the coins 14 percent are pennies and 42 percent are dimes. There are 4 more nickels than pennies. How much money does the bag contain?

Answers

I believe it’s $5.47

Final answer:

The bag contains 7 pennies, 11 quarters, 21 dimes, and 11 nickels. The value of the bag is $5.47.

Explanation:

Let's denote the number of pennies as P, nickels as N, dimes as D, and quarters as Q.

From the given information, we can form the following equations:

P + N + D + Q = 50 (since there are 50 coins in total).P = 0.14 * 50 = 7 (since 14% of the coins are pennies).D = 0.42 * 50 = 21 (since 42% of the coins are dimes).N = P + 4 (since there are 4 more nickels than pennies).

Substituting the values of P and D into the first equation, we can solve for Q:

7 (pennies) + (P + 4) (nickels) + 21 (dimes) + Q (quarters) = 50

11 + 7 + 21 + Q = 50

39 + Q = 50

Q = 50 - 39 = 11

Now, we can calculate the value of the coins:

Value of pennies: 7 * 0.01 = $0.07

Value of nickels: (7 + 4) * 0.05 = $0.55

Value of dimes: 21 * 0.10 = $2.10

Value of quarters: 11 * 0.25 = $2.75

The total value of the coins in the bag is $0.07 + $0.55 + $2.10 + $2.75 = $5.47.

can someone help me answer this question

Answers

Answer:

Top Surface Area =  π×82

=  201.06192982975 meters2

Bottom Surface Area =  π×82

=  201.06192982975 meters2

Lateral Surface Area =  2π×8×4

=  201.06192982975 meters2

Total Surface Area = 603.18578948924 meters2

Step-by-step explanation:

What is the total surface area of the square pyramid? 48square meters 64 square meters 76 square meters 88 square meters

Answers

Answer: 64m is the answer

Answer:

64 Square Meters is the Right answer...

Step-by-step explanation:

I took the test and got it right:D

In a arithmetic sequence with a^1=12, d=3 which term is equal to 159?

Answers

Answer:

50th term is 159

Step-by-step explanation:

nth term=159

a + (n -1)*d = 159

12 + (n-1)*3= 159

(n - 1)*3 = 159 - 12

(n - 1)*3 = 147

n -1 = 147/3

n - 1 = 49

n = 49 + 1

n= 50

Answer: n=50th term

Step-by-step explanation:

An= a1+(n-1)d

An= nth term

A1= first term

N= nth position

D= common difference

An =159

A1= 12

D= 3

N= ?

Substitute the values

An=a1+(n-1)d

159=12+(n-1)3

Collect like terms

159-12=(n-1)3

147=3n-3

147+3=3n

150=3n

N=150/3

N= 50

Therefore 50th term will give 156

Lucy made fewer baskets than Herbert but more basket than fredda.Kwan did not make fewer basket than Herbert.who made the fewest basket?​

Answers

Freddy made the fewest. Since Lucy made fewer than Herbert but Kwan did not we know kwan made the most, then Herbert, then Lucy. Since it also states Lucy made made more baskets than Fredda that puts Fredda making the least

Answer:

Fredda

Step-by-step explanation:

Please answer correctly, will mark brainliest
Thanks! 50 points

Answers

Answer:1st question 37;20;17.6

2nd question first option

Step-by-step explanation:

Out lier 37, 160 divided by 8 = 20 160-37 divided by 7

Just count and tally

You purchase a car in the amount of $32,000. You secure a loan for 5 years at a rate of 4.9%. What is your monthly payment?

Answers

Answer:

do 32,000÷4.9

Step-by-step explanation:

if you dknt know how to divide message me.

The other answer is wrong
Even if I don’t know the answer since 4.9% isn’t clear what is used for, is it the monthly interest rate or a yearly interest-rate or a total interest. Let me know what it means so I can answer

Find g: 3g + 15 - 12 + 3 - 2g + 4 = 1

Answers

3g+15-12+3-2g+4=1
3g-2g+15-12+3+4=1
g+3+7=1
g+10=1
g=1-10
g=-9

PLEASE MARK ME BRAINLIST ! PLEASE...!

Answer:

g = -9

Step-by-step explanation:

3g + 15 - 12 + 3 - 2g + 4 = 1

Step 1: Collect like terms

3g - 2g + 15 +3 + 4 - 12 = 1

g +22 -12 = 1

g + 10 = 1

g = 1 - 10

g = -9

Find the area of the shape shown below

Answers

Answer:

240 units²

Step-by-step explanation:

Since it's a composite figure, find the area of the rectangle then the triangle

rectangle

A = wl

A = 20*10

A = 200 units²

Triangle

A = 1/2 wh

A = 1/2 (20)(4)

A = 1/2 (80)

A = 40 units²

Add them together and get 240 units²

PLEASE PLEASE HELP the question is below

Answers

Answer:

244

Step-by-step explanation:

216+28

so the answer is of option B...

15 POINTS!!!!!! WHOEVER ANSWERS CORRECTLY AND FIRST WILL GET BRAINLIEST!!!!!!!!!!!!!


Tennis balls are sold in packs of three, and come packaged in a plastic, cylindrical container. There is no space between the top, bottom, or sides of the container and the tennis balls. There is no space between the top of one tennis ball and the bottom of the next.

If a tennis ball is a perfect sphere with a volume of 125pi/48 in^3 how many square inches of plastic are needed to make the packaging? Round to the nearest square inch.

A. about 393 square inches

B. about 69 square inches

C. about 38 square inches

D. about 22 square inches

Answers

Answer:

69 square inches is the right answer.

Answer:

Step-by-step explanation:

Answer:

Here is my answers for the practice that I have come across. It may be the new one. I also shortened it.

1. find the SA of a grape fruit with a c of 14cm.

62 cm^2

2. a sphere has a volume of 900 ci. find SA

451

3. a solid metal cube with an edge length of 9 in is melted and reshaped into a sphere. which is SA of sphere

391.7

4. the sphere below fits snugly inside a cube with 6 in edges what is the v of the space between the sphere and the cube

102.9

5. find the v in terms of pi of a sphere with a SA of 9 pi square feet

9/2 pi ft^3

6. which of the following is the greatest the total v of 3 sphere each of which a diameter of 5 in the v of one sphere that has a diameter 8 in or the v of a hemisphere with a diameter of 10 in

the v of 1 sphere with a diameter of 8 in is greatest

7. a sphere has center  0 0 0 and a radius of 5

0 -3 4

8. find v of figure the diameter of the base is 4 cm

46/3 pi cm^3

9. a sphere with a radius of 5 cm fits inside a box every face is tangent to the sphere

6 pi

10. tennis balls are sold in packs of 3 and come packaged in a plastic cylindrical container there is no space between

69 square inches

Step-by-step explanation:

Two prisms are similar if the ratios of corresponding parts are equal.

A. True

B. False

Answers

True because it they are similar and corresponding the parts are equal.

True because they are equal

Find the approximate perimeter of rectangle FOUR plotted below.
Round your final answer to the nearest hundredth.

The first to answer correctly will get the brainliest answer

Answers

Answer:40.25

Step-by-step explanation:

What is the center of the circle given by the equation below?
x2 - 6x = -y2 - 12y - 9

A.
(3 , -6)
B.
(-3 , -6)
C.
(3 , 6)
D.
(-3 , 6)

Answers

Answer:

Step-by-step explanation:

x

=

3

+

y

(

y

12

)

x

=

3

y

(

y

12

)

expand and simplify 5(2y+1)^2 -4

Answers

Answer:

20y² + 20y + 1

Step-by-step explanation:

Given

5(2y + 1)² - 4 ← expand the factor using FOIL

= 5(4y² + 4y + 1) - 4 ← distribute parenthesis by 5

= 20y² + 20y + 5 - 4

= 20y² + 20y + 1

Answer:20y2+20y+1

Step-by-step explanation:

Let's simplify step-by-step.

5(2y+1)2−4

Distribute:

=20y2+20y+5+−4

Combine Like Terms:

=20y2+20y+5+−4

=(20y2)+(20y)+(5+−4)

=20y2+20y+1

Three times William's age, w, is less than his cousin Sandra's age, 15. On the number line below, select from the points three possible ages that William could be.
1,2,4,5,7,8,10

Answers

Answer:

5,4,2

Step-by-step explanation:

Answer:

1,2,4

Step-by-step explanation:

plz help me I will be giving a brainliest to the first person to answer please help me​

Answers

Answer:

3

Step-by-step explanation:

8 times -5 = -40

Answer:

(8)(-5)

Step-by-step explanation:

8*-5= -40

just multiply the two and you will get the answer

what is (-2/-3) divided by 3 3/4 =

Answers

Answer:

8/45

Step-by-step explanation:

(-2/-3)=2/3

3 3/4=15/4

(2/3)/(15/4)=2/3*4/15=8/45

So the answer is 8/45

1. Almost No Fat Banana Bread Makes 12 servings
You need to serve 48 people for a school event. Adjust the
recipe. Everyone will have 1 piece each. ​

Answers

Final answer:

To serve 48 people with the 'Almost No Fat Banana Bread' when the original recipe serves 12, multiply the quantities of each ingredient in the recipe by 4.

Explanation:

To adjust the recipe for 'Almost No Fat Banana Bread' to serve 48 people, where the original recipe makes 12 servings, you need to multiply the quantities of each ingredient in the recipe by 4. Since you are aiming to serve 1 piece each to 48 people and the original recipe serves 12, the calculation is:

Number of servings needed ÷ Original number of servings per recipe = Multiplier

48 servings needed ÷ 12 servings per recipe = 4

Therefore, you will multiply each ingredient by 4 to make enough banana bread for 48 servings.

Cindy is shopping for a television. The original price is $612. Store A has the television on clearance for 30% off. Store B has it on clearance for 25% off, and Cindy has a 10% off coupon to use at Store B. At which store will she pay less? How much less?

Answers

Answer:

She will pay less at store B

Step-by-step explanation:

30% off of $612 is $428.4

25% off of $612 is $459

Remember she has a coupon for 10% off

10% off of 459 is $413.1

She would save $198.9

Answer:

Step-by-step explanation: store b

ATTACHEMENTS ADDED 10 PTS 5TH GRADE MATH

Answers

Answer:

18.6

Step-by-step explanation:

18 squares and six lines in one square

Its 0.08 because 18 shaded squares and a grand total of 100 tiny square so you get 18/100 which is also = to 0.08 so you get your answer!!

f(x) = 3x + 2, f(5) = _

Answers

Answer:

17

Step-by-step explanation:

f(x) = 3x + 2

f(5) = 3(5) + 2   =   17

The answer is X=-2/3 x 5 = -10/3

James's dad drove a total of 140 miles last week,
He drove the same number of miles each day and he drove every day.
How many miles did he drive each day?​

Answers

Answer:

140/24= 5 i think this is the answer

Step-by-step explanation:

You deposit $3,500 into an account which yields 4% interest. If the account is compounded monthly, how much would you have in 6 years?

Answers

Answer: $4,447.49

Step-by-step explanation:

(1) 3500 (1 + 0.04 / 12) ^ 12 x 6

(2) A = 3500  x 1.003333^72

(3) A = 3500 x 1.270711

(4) A = 4,447.49

find the answer and explain.560.450-34.34872​

Answers

Answer:526.101

Step-by-step explanation:

To find 560.450-34.34872

=526.101

That is u subtract 560.450-34.34872

We get

=526.101

please answer quickly! Carolyn makes and sells necklaces. The material to make each neckalce costs $3.20. She has 12 necklaces to sell and wants to make a total profit of $54. The following equation describes the situation.
Carolyn found that x = 7.7 and determined that she will make a profit of $7.70 on each necklace . Which error did Carolyn make?

The solution means that she should charge $7.70 for each necklace.
The solution means that each necklace costs $7.70 to make.
The solution to the equation is not x = 7.7.
Carolyn did not distribute the parentheses when solving.

Answers

Answer:

A

Step-by-step explanation:

i took the test

ALGEBRA 2 PROBLEM! PLEASE HELP ME!

Answers

Answer:

A

Step-by-step explanation:

cos(60) = adjacent/hypotenuse

½ = B/5

B = 5/2

B = 2.5

A rectangular parking area measuring 5000 ft squared is to be enclosed on three sides using​ chain-link fencing that costs ​$5.50 per foot. The fourth side will be a wooden fence that costs ​$7 per foot. What dimensions will minimize the total cost to enclose this​ area, and what is the minimum​ cost?

Answers

Answer:

Dimensions: 75.3778 ft and 66.3325 ft

Minimum price: $1658.31

Step-by-step explanation:

Let's call the length of the parking area 'x', and the width 'y'.

Then, we can write the following equations:

-> Area of the park:

x * y = 5000

-> Price of the fences:

P = 2*x*5.5 + y*5.5 + y*7

P = 11*x + 12.5*y

From the first equation, we have that y = 5000/x

Using this value in the equation for P, we have:

P = 11*x + 12.5*5000/x = 11*x + 62500/x

To find the minimum of this function, we need to take its derivative and then make it equal to zero:

dP/dx = 11 - 62500/x^2 = 0

x^2 = 65000/11

x = 250/sqrt(11) = 75.3778 ft

This is the x value that gives the minimum cost.

Now, finding y and P, we have:

x*y = 5000

y = 5000/75.3778 = 66.3325

P = 11*x + 62500/x = $1658.31

The dimensions that would minimize the total cost are [tex]66.3 \text{ by } 75.4[/tex]

The minimum cost is [tex]\$1658.3[/tex]

Let the sides of the rectangle be [tex]a[/tex] and [tex]b[/tex],

Let the total cost be given by [tex]T=7a+5.5(2b+a)[/tex]

The area, [tex]5000=a\times b \implies a=\frac{5000}{b}[/tex]

Substitute the formula for [tex]a[/tex] into the formula for [tex]T[/tex] to solve for [tex]b[/tex]

[tex]T=\frac{62500}{b}+11b[/tex]

To find the dimensions that would minimize the total cost,

Differentiate to get where the gradients equal zero

[tex]\frac{dT}{db}=11-\frac{62500}{b^2}=0[/tex]

when

[tex]b=\pm \frac{250}{\sqrt{11}}[/tex]

Find the second derivative to find the minima

[tex]\frac{d^2T}{db^2}=\frac{125000}{b^3}[/tex]

For minima, [tex]\frac{125000}{b^3}>0[/tex]

This means, [tex]b=+\frac{250}{\sqrt{11}}\approx 75.4 ft[/tex] is a minima

The corresponding value of [tex]a=\frac{5000}{b}=\frac{5000}{250}\times\sqrt{11}=20\sqrt{11}\approx 66.3 ft[/tex]

To find the minimum cost, substitute the above minimum value for [tex]b[/tex] into the formula for the total cost

[tex]T=500\sqrt{11}=\$1658.3[/tex]

Learn more about minima and maxima: https://brainly.com/question/2541083

What is the approximate area of a circle with a diameter of 28 yards?

2463.0 sq yd
615.8 sq yd
88.0 sq yd

Answers

Answer:

615.8 sq yards

Step-by-step explanation:

hope this helps! :)

PLZ HELP! WILL GIVE BRAINLIEST!

Answers

Answer:

[tex]10^{26}[/tex]

Step-by-step explanation:

Exponent are added when multiplied while constants are multiplied.

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