what is the equation of the quadratic that models the data

Answer:

24

Step-by-step explanation:

3 x 1/72 = 1 mile

72/3 = 24

The car will use 1 gallon of gas per 24 miles

Answer:

I believe it 2 cos(20 - ℼ/8) - 1 or 2 sin(20 + ℼ/4) - 1

Step-by-step explanation:

Answer:

The two-point form of a line is used for finding the equation of a line given two points (x1,y1) ( x 1 , y 1 ) and (x2,y2) ( x 2 , y 2 ) on it. The two point-form of a line is:y−y1=y2−y1x2−x1(x−x1) y − y 1 = y 2 − y 1 x 2 − x 1 ( x − x 1 ) OR y−y2=y2−y1x2−x1(x−x2) y − y 2 = y 2 − y 1 x 2 − x 1 ( x − x 2 ) .

Answer:

2048 markers

Step-by-step explanation:

One box has 16 markers and the teacher buys 128 boxes, then total would be

128 boxes x (16 markers / 1 box) = 2048 markers

The transformation that took place is a horizontal stretch by a factor of 2

We are given that Polygon ABCD transformed to create polygon A'B'C'D'. Clearly, the polygon is first a translation of the polygon ABCD 1 unit to the right and then it is horizontally stretched by a scale factor of 2.

Since the length of the polygon was earlier 2 units and then the length of the Polygon A'B'C'D' is 4 units. Hence, the transformation that took place in the Polygon ABCD is a horizontal stretch by a factor of 2

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Answer: A Horizontal Stretch by a Factor of 2

Step-by-step explanation:

An equation is formed of two equal expressions. Felipe is paying $6 more each month.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The equation that represents Felipe's payment per month is given as y=-30+290, therefore, the amount that Felipe pays every month is the gradient of the line slope of the equation y=-30+290 which is 30.

Similarly, the graph showing Samantha's payment, the slope will be,

m = (y₂-y₁)/(x₂-x₁) = (240-0)/(0-10) = -24

Thus, we can conclude that Felipe is paying $6(30-24)more each month, because the amount paid by Felipe is 30, while the amount paid by Samantha is 24.

Hence, Felipe is paying $6 more each month.

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Answer:

T=5

Step-by-step explanation:

5 -3 = 10/t

2 =10/t

2t = 10

T = 5

[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]

         Solve for the variable 5=10/t+3.

[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]

When solving an equation, we need to make sure that all variables are on the left-hand side, and all numbers are on the right-hand side.

Since we have numbers on both sides, we need to move all numbers to the right:-

[tex]\bold{5=\dfrac{10}{t} +3}[/tex]

[tex]\bigstar[/tex] Subtract 5 on both sides:-

[tex]\bold{0=\dfrac{10}{t} +3-5}[/tex]

[tex]\bigstar[/tex] On simplification,

[tex]\bold{0=\dfrac{10}{t} -2}[/tex]

[tex]\bigstar[/tex] Now, subtract 10/t on both sides:-

[tex]\bold{-\dfrac{10}{t} =-2}[/tex]

[tex]\bigstar[/tex] On simplification,

[tex]\bold{\dfrac{10}{t} =2}[/tex]

[tex]\bigstar[/tex] Multiply by t on both sides:-

[tex]\bold{10=2t}[/tex]

[tex]\bold{2t=10}[/tex]

[tex]\bigstar[/tex] Divide by 2 on both sides:-

[tex]\bold{t=5}[/tex]

[tex]\rule{300}{2}[/tex]

Answer:

Your answer is B

Step-by-step explanation:

6.14 Checkpoint: Systems of Linear Inequalities

I took the test.

Length of the rectangle is 8 units

Step-by-step explanation:

Area of the rectangle = 48 units

Length = x + 2

⇒ Area = Length × Breadth

48 = x (x + 2)

48 = x² + 2x

x² + 2x - 48 = 0

x² + 8x - 6x + 48 = 0 (Product Sum rule to factorise)

x(x + 8) - 6(x + 8) = 0

(x - 6)(x + 8) = 0

⇒ x = 6, -8 (negative value is neglected)

∴ x = 6

x + 2 = 8

Answer:

A

Step-by-step explanation:

In this problem you'd simply distribute the 10. So 10x15 and 10*n

150+10n

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

[tex]\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

       What is 10(15+n) equal to?

[tex]\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]

Multiply 10 times 15:-

150

Multiply 10 times n:-

10n

Add the terms:-

150+10n

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

Answer:

64.0874 or 20.41pi

Step-by-step explanation:

circumference = diameter x pi

C = D x pi

C  = 20.41pi(lets say pi is 3.14)

C = 64.0874

Answer:

The graph of g(x) is shifted up 2 units.

Answer:

[tex]c = 9[/tex]

Step-by-step explanation:

[tex] {(x - a)}^{2} = {x}^{2} - 2ax + {a}^{2} \\ 2ax = 6 \\ a = 3 \\ c = {a }^{2} \\ c = 9[/tex]

To complete the chart make sure you to determine the number of girls and boys in each belt category, and verify the total people.

This requires you to complete the chart presented based on graph, a data chart, or similar.

Note: This question is incomplete; due to this, the answer is based on general knowledge.

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Answer:

76

U

768

Is just for fun heh brother

Length - 27 cm

Width  - 9 cm

Here we go (hope this helps),

The area of the rectangle is 243. To get area, you do length x width. Your equation will look like this

3x (x) = 243

Simplify this using PEMDAS

3x^2 = 243

Next, you divide both sides by 3 to undo the times 3

x^2 = 81

Then, you take the square root of both sides to undo the squared symbol

x=9

Using this, you know the width is 9. Since the length is 3x the width, you know that 3 x 9 is 27 and you can clearly see that the dimensions are 9 and 27!

[tex]4\left(\sqrt[5]{x^2 y} \right) +3 \left( \sqrt[5]{x^2 y} \right)\\\\=(4+3) \left( \sqrt[5]{x^2 y} \right)\\\\=7 \left( \sqrt[5]{x^2 y} \right)[/tex]

[tex]7(\sqrt[ 5 ]{ { x }^{ 2 } y })[/tex]

The equation:

[tex]4 \sqrt[ 5 ]{ { x }^{ 2 } y } +3 \sqrt[ 5 ]{ { x }^{ 2 } y } [/tex]

1) Collect like terms by adding their coefficients ( [tex]3[/tex] and [tex]4[/tex])

[tex](3+4)\sqrt[ 5 ]{ { x }^{ 2 } y }[/tex]

2) Calculate

[tex]7(\sqrt[ 5 ]{ { x }^{ 2 } y })[/tex]

Answer:

YES

Step-by-step explanation:

as 5,3 and 4 are Pythagorean triplets, with 5 being C/the hypothenuse it would work as a right angled triangle.

3^2+4^2=c^2

9+16=c^2

25=c^2            c=5

Answer:

he worked 5 hours ..........

Answer:

5 hours

Step-by-step explanation:

to find unit rate:

10/2 which is 5

so 5 kg per hour

find for 25 kg:

25/5 which is 5.

so 5 hours.

Answer:

area: 105.3

perimeter: 66.7

Step-by-step explanation:

area: 13*16.2/2 = 105.3            formula S = B*H

perimeter: 31+16.2+19.5 = 66.7      

Answer:

To have one significant figure means to have one number with a significant value. Since all of the answers are greater than one, the final answer with the correct sig figs involves using the two leftmost numbers. If the second leftmost number is greater than 5, round the leftmost number up one unit. If the number is less than 5, leave the leftmost number alone. Finally, change all of the values besides the leftmost to zero. There should be no decimal place because having it would mean the zeros to the left of the decimal place are significant.

 29 x 31
--------------  =  3329.6      ------>     3,000
   0.27

 4.8 x 37
---------------  =  845.7       -------->    800
   0.21

 9.7 x 26
---------------   =  11463.6      ------->   10,000
  0.022

Answer:

13.5

Step-by-step explanation:

213.21÷15.8= 13.494

Rounded : 13.5

Answer:

de=30,fc=30,cd=22

Step-by-step explanation:

so r =5

6*5=30

10*5-20=30

2*5+12=22

so the only left is fe so cd=fe

fe=22

Answer:

4:25

8:125

Step-by-step explanation:

Surface Ratio is the "Similarity Ratio" to the power of 2

Volume Ratio is the "Similarity Ratio" to the power of 3

It's logical and deductable by paying attention to the correlation between the "Side"s(or "Diameter"s) and the "Surface" and the "Volume"s in simple shapes like Circles and square.

By paying attention to the formula of the "Surface Area" and the "Volume" or the m /m^2 /m^3 ( the units of measurement) we can easily notice the relation.

Answer:

steps below

Step-by-step explanation:

(a) first green: 8/23 AND 2nd green: 7/22

AND: multiplication.. 8/23 x 7/22 = 28/253 ≈ 0.11 (11%)

(b) 15/23 x 8/22

Answer:

768 m²

Step-by-step explanation:

» Concepts

Surface area is the amount of area covered by the surface of an object. In a rectangular prism, the formula to find the TSA (total surface area) is [tex]2(wl+hl+hw)[/tex], where w = width, l = length, and h = height.

» Application

We are asked to find the surface area of a rectangular prism with a width of 14m, a length of 15m, and a height of 6m. Now, we have to apply the aforementioned formula using these measurements.

» Solution

Answer:

B, 12, 48.

Step-by-step explanation:

Hope this helped!

Answer:

$1.35

Step-by-step explanation:

8n = 10.80

Divide both sides by 8 to get n alone.

n = 10.80/8 = $1.35