What equation is a quadratic model for the data set? X 4, 10, 13, 17, 8, 12, 6 y 20, 86, 174, 274, 72, 135, 44

What Equation Is A Quadratic Model For The Data Set? X 4, 10, 13, 17, 8, 12, 6 Y 20, 86, 174, 274, 72,

Answers

Answer 1

Answer:

Option C is correct.

[tex]y = 0.9673x^2-0.8475x + 10.4334[/tex] is an quadratic model equation for the data set

Step-by-step explanation:

To find the equation of the quadratic model for the given data set:

x               y

4              20

10             86

13            174

17             274

8              72

12             135

6               44

We begin by entering the data into a graphing utility and displaying the scatter  plot, as shown below in the figure. In the scatter plot, you can see that the data  appears to follow a parabolic pattern.Using the feature of a graphing utility, you can find the quadratic  model as shown below.

Therefore, the quadratic model for the given data is given by;

[tex]y = 0.9673x^2-0.8475x + 10.4334[/tex]


What Equation Is A Quadratic Model For The Data Set? X 4, 10, 13, 17, 8, 12, 6 Y 20, 86, 174, 274, 72,

Related Questions

What is n in the equation -5(1+6n)=5n-5?

Answers

Answer:

0 is your answer

Step-by-step explanation:

Note the equal sign, what you do to one side, you do to the other. Remember to follow PEMDAS.

First, distribute -5 to all terms within the parenthesis

-5(1 + 6n) = (-5)(1) + (-5)(6n) = -5 - 30n

-30n - 5 = 5n - 5

Isolate the variable, n. Subtract 5n and add 5 to both sides

-30n (-5n) - 5 (+5) = 5n (-5n) - 5 (+5)

-30n - 5n = -5 + 5

-35n = 0

Isolate the n, Divide -35 from both sides

(-35n)/-35 = (0)/-35

n = 0

0 is your answer

~


The same king cobra is 4.237 meters long. Round the length to the nearest meter.

Answers

Answer:

4 is the closest meter you can round to. So your answer would be 4

Step-by-step explanation:


Answer:

4

Step-by-step explanation:

since 2<5, 4.237 ≈ 4

HELP

GIven:

QRS is an isosceles triangle

If M is midpoint of RQ, then triangle SMQ is congruent to triangle SRM

True or false

Answers

True because the triangle is semetrical

Answer:

true

Step-by-step explanation:

What is the length of x

Answers

Answer:

10 is your answer

Step-by-step explanation:

Note that the side given to us has a measurement of 5 for one of the legs of the isosceles.

This means that the 1 side on the 30-60-90 triangle has a measurement of 5.

Now, note the measurements of the triangle sides for a 30-60-90 triangle. They measure at: 1 , √3 , 2.

the side 1 is given to us, at 5. You are solving for the hypothenuse (2). Multiply 2 to the side 1

5 * 2 = 10

10 is your answer

~

Find the percent of decrease. Round your answer to the nearest tenth of a percent where necessary.
5. 57 to 19
A. 38%
B. 66.7%
C. 200%
D. 20%

Find the percent of markup. Round to nearest whole percent.

6. Store’s Cost:$136.50
Selling price:$184.70
A. 48%
B. 26%
C. 14%
D. 35%


Answers

Answer:

Number 5: Answer B

Number 6: Answer B

Step-by-step explanation:


5) The percent of decrease from 57 to 19 is:B. 66.7%

6) The percent of markup is: D. 35%

How to find the percentage?

6) To find the percent of decrease from 57 to 19, we can use the formula:

percent decrease = (original value - new value) / original value x 100%

Substituting the given values, we get:

percent decrease = (57 - 19) / 57 x 100%

percent decrease = 38 / 57 x 100%

percent decrease = 0.6667 x 100%

percent decrease = 66.7%

Therefore, the percent of decrease from 57 to 19 is 66.7%. The answer is option B.

6) To find the percent of markup, we can use the formula:

percent markup = (selling price - cost) / cost x 100%

Substituting the given values, we get:

percent markup = (184.70 - 136.50) / 136.50 x 100%

percent markup = 48.20 / 136.50 x 100%

percent markup = 0.353 x 100%

percent markup = 35.3%

Therefore, the percent of markup is 35%. The answer is option D.

Read more about Percentage at: https://brainly.com/question/24877689

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Which is the best first step when solving the following system of equations?x+y=3 and 4x-y=7
I Need Answer ASAP

Answers

I think it would be x+y=3

Hope this helps


I will give you literally 40 points if you answer this. In a stadium, there are 31 chairs in the first row and 37 in the second row. The number of chairs in a row continues to increase by 6 with each additional row. a) write the first 5 numbers of this sequence b)what is the explicit tilde for the number of seats in n rows c)use the rule you wrote in 1b to determine which row has 103 seats. SHOW ALL WORK

Answers

A) 1st Row = 31 seats

    2nd row = 37 seats

     3rd row = 37+6 = 43 seats

     4th row = 43+6 = 49 seats

      5th row = 49+6 = 55 seats


B) The formula for finding the number of seats in any row number is:

Number of seats in nth row = 31 + (n-1) *6


C)  To find the row with 103 seats,  set the equation in B to equal 103 and solve for n:

103 = 31 + (n-1)*6

Subtract 31 from each side:

72 = (n-1)*6

Divide both sides by 6:

12 = n-1

add 1 to each side:

n = 13


The 13th row has 103 seats.

Matthew can buy an 8-ounce jar of salsa for $2.85 or a 15-ounce jar of salsa for $5.65. Which jar is the best buy and what is the unit rate?

Answers

Answer:

The $2.85 jar is the better buy.

Step-by-step explanation:


Start by finding the two separate unit rates.  Then compare them:

$2.85

---------- = $0.36/oz

8 oz

$5.65.

----------- = $0.38/oz

15 oz


The $2.85 jar is the better buy, as its unit cost is lower.




Final answer:

The 8-ounce jar of salsa at $0.35625 per ounce is the better buy compared to the 15-ounce jar at $0.37667 per ounce.

Explanation:

The student wants to determine which jar of salsa provides the best value in terms of cost per ounce. To find the unit rate, we need to divide the price of each jar by the number of ounces it contains.

For the 8-ounce jar of salsa:

Unit rate = $2.85 / 8 oz = $0.35625 per ounce

For the 15-ounce jar of salsa:

Unit rate = $5.65 / 15 oz = $0.37667 per ounce

Comparing the unit rates, the 8-ounce jar of salsa has a lower unit rate, making it the better buy.

Two large single-topping pizzas cost $25.00. What is the constant of proportionality (k)?

Answers

[tex]\bf \qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \stackrel{\textit{\underline{c}cost directly proportional to \underline{p}izzas}}{c=kp} \\\\\\ \textit{we know that } \begin{cases} p=2\\ c=25 \end{cases}\implies 25=k(2)\implies \cfrac{25}{2}=k\implies 12\frac{1}{2}=k[/tex]

What is the ratio of a to b 9/17= 3a/ a+b

3/14
6/17
13/17
50/9

Answers

Answer:

3/14

Step-by-step explanation:

We want to find the ratio of a to b, or a/b

9/17 = 3a/ (a+b)

Multiply each side by 17

17*9/17 =17* 3a/ (a+b)

9 = 51 a/ (a+b)

Multiply each side by (a+b)

9 (a+b) = 51a

Distribute  the 9

9a +9b = 51a

Subtract 9a from each side

9a-9a +9b =51a-9a

9b = 42a

Divide each side by b

9b/b = 42a/b

9 = 42a/b

Divide each side by 42

9/42 = a/b

But we can simplify 9/42 because each is divisible by 3, so divide 9 and 42 by 3

3/14 = a/b

Write an equation represents the number of bracelets b Carly will have if she works t hours making bracelets in the next 2 weeks and averages one bracelet every 2 hours

Answers

2(1b × t) ÷ 2 = b

or

2b × 2t ÷2 = b

PLEASE GIVE BRAINLIEST

1.32:3 1/7 =(1.4y): 5/6

Answers

Answer:

y=0.25 please mark brainliest i worked very hard to figure this out.

Step-by-step explanation:

3 1/7=22/7

22/7/6/5=132/35

1.32=132/100

132/100/132/35=1.4y=35/100

35/100*14/10=0.25

hence, y=0.25

What is the value of n in the equation 8n + 7 =31

Answers

Answer:

The answer is the third choice 3

Step-by-step explanation:

First you undo by doing the opposite 31 - 7 = 24 now we undo the 8 by undoing 24 divided by 8 is 3

Question

What is the value of n in the equation 8n + 7 =31


Answer:

3

Step-by-step explanation:

8n + 7 = 31

8n = 31 - 7

8n = 24

n = 24 : 8

n = 3

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

check

8 * 3 + 7 = 31

24 + 7 = 31

31 = 31

The answer is good


HELP

GIven:

QRS is an isosceles triangle

If M is midpoint of RQ, then triangle SMQ is congruent to triangle SRM

True or false

Answers

True, because the triangle is symmetrical

Hope this helps :)

Answer:

True

Step-by-step explanation:

Given: QRS is an isosceles triangle that is QS=SR and M is the mid point of QR.

To prove: ΔSQM≅ΔSRM

Proof: It is given that  QRS is an isosceles triangle that is QS=SR and M is the mid point of QR, thus from ΔSQM and ΔSRM, we have

QS=SR (Given)

QM=MR (Mid point)

SM=MS (Reflexive)

Thus, by SSS rule of congruence,

ΔSQM≅ΔSRM

Hence the given statement is true, that is if M is teh point of RQ, then ΔSQM≅ΔSRM.

Hence proved.

What is the sum of 5(−3.4k−7) (3k+ 21) =

Answers

Answer:

welp i got -891k - 357 but that seems really big

Step-by-step explanation:

i distributed the 5 to the -3.4k and the -7 and got -17k-35. then i foiled that out with the 3k+21 and got -51k -357 - 105k -735k. then i combined like terms and got -891k -357

hope this helps rip sorry

Please help quick!!!
Which table shows a proportional relationship between x and y?



x 1 3 4 5

y 50 150 200 250


x 1 2 3 6

y 1.5 3 6 9


x 3 5 7 8

y 1.5 2.5 3 4.5


x 2 4 5 6

y 6 12 18 21

Answers

Answer:

the most accurate answer would be option 3 relatively speaking

Step-by-step explanation:


Given the equations `2x + 4/3 y = 1` and `y - 9/13 x = 9`, by what factor would you multiply the first equation so that combining the two equations would eliminate x? A. `-9/26` B. `9/26` C. `1/2` D. `-9/13`

Answers

Answer:

B.   9/26.

Step-by-step explanation:

You need to change the coefficient of x in the first equation to 9/13 so that adding the 2 equations would eliminate x.

So you would multiply by  

= 9/13 / 2

= 9/13 * 1/2

= 9/26 (answer)





Answer:

The correct option is B) [tex]\frac{9}{26}[/tex]

Step-by-step explanation:

Consider the provided equations:

[tex]2x+\frac{4}{3}y=1[/tex] and [tex]y-\frac{9}{13}x=9[/tex]

The above equation can be written as:

[tex]2x+\frac{4}{3}y=1[/tex] and [tex]-\frac{9}{13}x+y=9[/tex]

As it is given that we need to eliminate the variable x.

Multiplying the equation [tex]2x+\frac{4}{3}y=1[/tex] with [tex]\frac{9}{26}[/tex].

Therefore,

[tex]\frac{9}{26}2x+\frac{9}{26}\times{\frac{4}{3}y}=1\times{\frac{9}{26}}[/tex]

[tex]\frac{9}{13}x+\frac{9}{26}\times{\frac{4}{3}y}=1\times{\frac{9}{26}}[/tex]

Therefore, the correct option is B) [tex]\frac{9}{26}[/tex]

Which rules of exponents will be used to evaluate the expression. PLZ answer (MEGA NEEDS HELP :( Quick!!!!!!!!!!!!!!!!!!!!!!!! Check all that apply [( 7^5)(7^3)]-4

.quotient of powers

.product of powers

.power of a power

.power of a product

.negative exponent

.zero exponent

Answers

Product of powers and power of powers

Answer:

Product of powers; power of a power; negative exponent

Step-by-step explanation:

find the angle of elevation of the sun if a building 100 feet tall casts a shadow 150 feet long.

Answers

The angle of elevation of the sun can be determined using trigonometry by finding the inverse tangent of the ratio of the building height to the shadow length, which is approximately 33.69 degrees.

To find this, we can use trigonometry, specifically the tangent function, which is the ratio of the opposite side over the adjacent side in a right-angled triangle. Here, the building height represents the opposite side, and the shadow length represents the adjacent side.

Using the formula tangent = opposite/adjacent, we have:

tangent(\(\theta\)) = 100 / 150tangent(\(\theta\)) = 2/3

Now, we need to find the angle whose tangent is 2/3. By using a calculator or a trigonometry table, we find:

\(\theta\) = tan-1(2/3) \(\approx\) 33.69 degrees

Therefore, the angle of elevation of the sun is approximately 33.69 degrees.

A department store sells logo shirts at an original price of $20. Every month that a shirt doesn’t sell, the store reduces the selling price by 25%. The store employees get a 50% markdown off the current price. Macy works at the store and sees the shirts going into the second markdown month. She decides that since 25% + 25% + 50% = 100%, the shirts must be free to employees. What is Macy’s error?

Answers

Answer: The pre-tax price of the shirt for Macy will be $5.63

Step-by-step explanation:

Given:

Original price = 20

reduces selling price by 25% every month it's not sold.


First markdown month:

20 * (100%-25%) = 20 * 75% = 15


Second markdown month

15 * 75% = 11.25


Macy, employee gets a 50% discount off the current price.

11.25 * 50% = 5.625

11.25 - 5.625 = 5.625 or 5.63

hope it helps! :)

Answer:

teacher's response

Step-by-step explanation:

Macy was calculating the employee price off the original amount each time instead of off the new selling price each month. Macy cannot add up all the discounts; she must apply them one by one.

The lenght of sydney's tennis racket is 2 rulers long. How many feet long is sydeney's tennis racket

Answers

Answer:

2 feet or 24 inch.

Step-by-step explanation:




Which values from the specified set make up the solution set of the inequality?

5w–10>20 ; {5,6,7,8}

Select each correct answer.

5
6
7
8

Answers

5w - 10 > 20      add 10 to both sides

5w > 30     divide both sides by 5

w > 6

Answer: 7 and 8.

Answer: 7 and 8

Step-by-step explanation:

How can this quadrilateral be classified?

Answers

Answer:

I am pretty sure it is all but trapezoid.

Step-by-step explanation:


Answer:

B. Trapezoid

Step-by-step explanation:

We have been given image of a quadrilateral. We are asked to classify our given quadrilateral.

Let us check our given choices one by one.

A. Parallelogram.

We can see that our given quadrilateral is square as its all sides are equal and perpendicular to each other.

Since sides of square are parallel to each other and opposite sides has equal measure, therefore, it is a parallelogram.

B. Trapezoid

We know that a trapezoid has one pair of parallel sides.

Since square has two pair of parallel sides, therefore, our given quadrilateral is not a trapezoid.

C. Rhombus

We know that each square is a rhombus, therefore, our given quadrilateral is a rhombus as well.

D. Square.

Our given quadrilateral is square as its all sides are equal and perpendicular to each other. Therefore, option D is correct as well.

A car is traveling 10 miles per hour during rush hour. How far does the car travel in 5 minutes

Answers


[tex]10 \times 5[/tex]
I think the answer is 50


PLEASE ANSWER Which function has the greatest rate of change? A. 6x – 7y = 21 B. y = 2x – 2 C. x y 2 7 3 13 4 19 D. A linear function that goes through point 1, 2 and point 0, negative 1

Answers

Answer:

C  it has the largest rate of change

Step-by-step explanation:

To find the greatest rate of change, we need the largest slope

In equation form y =mx +b where y is the slope

A. 6x – 7y = 21

    Solve for y

 Subtract 6x from each side

-7y = -6x+21

Divide by -7

y = 6/7x + 21/7

The slope is 6/7

B. y = 2x – 2

The slope is 2


C. x  2 3  4

   y  7      13      19


slope = (y2-y1)/(x2-x1)

       = (19-7)/(4-2)

        = 12/2

        =6

D. A linear function that goes through point 1, 2 and point 0, negative 1

 (1,2)  (0,-1)

slope = (y2-y1)/(x2-x1)

       = (-1-2)/(0-1)

        = -3/-1

        =3

What is the solution set of the compound inequality 8< 4 - x <10

Answers

you can solve all together or separate.

so you do

8<4-x. subtract
-4 -4

4<-x divide
-1. -1

4>x

-4>x since you divide by negative the sign flips.

4-x<10
-4. -4
-x<6
-1 -1

x>-6


8<4-x<10
-4 -4. -4 subtract 4 on all 3
4<-x<6 divide -1 to all 3
-4>x>-6 you flip sign since you divide by negative.
-

Answer:

-6 < x < -4

Step-by-step explanation:

8 < 4 - x < 10

Split this up into 2 inequalities:

4 - x > 8

-x > 8 - 4

-x > 4     Divide both sides by -1

x < -4    (Note that  sign flips when dividing by a negative).

Also 4 - x < 10

-x < 6

x >  -6


So the solution is  -6 < x < -4

A jeweler orders necklaces from a website that offers $6 shipping for any-size order. Each necklace costs $7. The jeweler wants to know the total cost of ordering n necklaces.What is the dependent (output) variable?

Answers

Answer: 6x7=n


Step-by-step explanation:


Answer:

A jeweler orders necklaces from a website that offers $6 shipping for any-size order. Each necklace costs $7. The jeweler wants to know the total cost of ordering n necklaces.

What is the independent (input) variable?

✔ n, the number of necklaces

What is the dependent (output) variable?

✔ c, the total cost (in dollars)

What is the domain?  

✔ n=0, 1, 2, 3,...

Which equation expresses the order’s total cost, c, as a function of the number of necklaces, n?

✔ c(n)=7n + 6

Which expression means “the total cost, including shipping, of 5 necklaces”?

✔ c(5)

Step-by-step explanation:

Suppose Department X is 8,000 square feet, Department Y is 5,000 square feet, and Department Z is 6,000 square feet. What's the percent of overhead expense applied to Department Z?

Answers

Answer:

31.6%

Step-by-step explanation:

it is given that

Area of Department X = 8,000  square feet

Area of Department Y = 5,000 square feet

Area of Department Z = 6,000 square feet

now the total area = [tex]8000+5000+6000[/tex]

                               =[tex]19,000[/tex] square feet

Percentage of area covered by Department Z = [tex]\frac{area of Department Z}{total area }100[/tex]%

                                               =[tex]\frac{6000}{19000} 100[/tex] %

                                                 =[tex]31.6[/tex] %

percentage of overhead expenses applied to Department Z = percentage of area covered by Department Z

hence we have,

percentage of overhead expenses applied to Department Z  = 31.6%

Show 326 using hundreds, tens, and ones

Answers

Answer:

using hunreds 300

using tens 20

using ones 6

300+20+6= 326

Step-by-step explanation:

All you got to do is break them apart into the places.



Plzzz mark brainlest and thank me

X/2 + 3 = -4
/=fraction

Answers

X/2=-7
X=-7 x 2
X= -14
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