A group of 3 people are sharing chocolates. Each person wants 8 chocolates and each box has 6 chocolates. How many boxes do they need?

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Explanation:

If you plug in x = 0 and y = 3, then the original equation boils down to c = 3. The x = 0 cancels out pretty much everything except that c term.

We have y=ax^3+bx^2+c update to y=ax^3+bx^2+3

Now plug in x = 1 and y = 6 from the point (1,6)

y=ax^3+bx^2+3

6=a(1)^3+b(1)^2+3

6 = a+b + 3

a+b = 6-3

a+b = 3

Now plug in the coordinates of (-1,4) which are x = -1 and y = 4

y=ax^3+bx^2+3

4=a(-1)^3+b(-1)^2+3

4 = -a + b + 3

-a+b = 4-3

-a+b = 1

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Here are the two equations we're interested in

a+b = 3

-a+b = 1

We'll add these equations straight down. The 'a' terms cancel. The b terms add to 2b. The right hand sides add to 3+1 = 4

We're left with 2b = 4 and it solves to b = 2

Use any of the equations involving 'a' and b to determine that a = 1

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To summarize we have

a = 1

b = 2

c = 3

This means y=ax^3+bx^2+c updates fully to y=1x^3+2x^2+3 which simplifies to y = x^3+2x^2+3 and it's the final answer.

Visual verification is shown below. Desmos is a graphing tool I use all the time, as well as GeoGebra. Both are free apps.

Answer:

only C is a function cause a function has only 1 same value.

Answer:

x = 2, y = 3

Step-by-step explanation:

5x – 4y = -2

2x + 4y = 16

Solve by elimination. (-4y and +4y gives 0)

7x = 14

x = 2

Substitute 2 in one of the equations in order to find y.

5(2) - 4y = -2

10 - 4y = -2

-4y = -12

y = 3

x = 2, y = 3

hope this helps!! p.s. i really need brainliest :)

Answer:

x = 2, x = 3

Step-by-step explanation:

[tex]\mathrm{Given:}\begin{bmatrix}5x-4y=-2\\ 2x+4y=16\end{bmatrix}[/tex]

[tex]\mathrm{Step\;by\;step\;solving}:[/tex]

[tex]\mathrm{Isolate\;x\;for\;5x-4y=-2:\;x=\frac{-2+4y}{5}}[/tex]

[tex]\mathrm{Then\;substitute\:}x=\frac{-2+4y}{5}[/tex]

[tex]\begin{bmatrix}2\cdot \frac{-2+4y}{5}+4y=16\end{bmatrix}[/tex]

[tex]\mathrm{Simplifying}: \begin{bmatrix}\frac{-4+28y}{5}=16\end{bmatrix}[/tex]

[tex]\mathrm{Next\;Isolate\;y\;for\;\frac{-4+28y}{5}=16}:y=3[/tex]

[tex]\mathrm{Since,\:}x=\frac{-2+4y}{5}[/tex][tex]\mathrm{and\;y\;=\;3}[/tex]

[tex]\mathrm{Then, substitute\:}y=3[/tex]

[tex]\mathrm{So,x=\frac{-2+4\cdot \:3}{5}}[/tex]

[tex]\mathrm{Solving:\;x=2}[/tex]

[tex]\mathrm{Hence,the\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]

[tex]x=2,x=3[/tex]

~Kavinsky~

Answer:

should be 6cm

Step-by-step explanation:

if you are looking at a cube

Answer:

6 cm 2

Step-by-step explanation:

Surface area of a cube then 1 x 1 x 1 x 6 (6 faces )

Answer:

B. Circumference  = 10r feet, area = 25r feet

Step-by-step explanation:

C = [tex]\pi[/tex] x 10

C = 10n

A = n x 5x5

A = 25n

The volume of the cone is 65.42 in³. The correct option is the second option - 65. 42 inches cubed

From the question, we are to determine the volume of the cone

The volume of a cone can be calculated by using the formula,

V = 1/3 πr²h

Where V is the volume

r is the radius

and h is the height

From the given information,

h = 2.5 in

r = 5 in

and π = 3.14

Putting the values into the formula, we get

V = 1/3 × 3.14 × 5² × 2.5

V = 65.42 in³

Hence, the volume of the cone is 65.42 in³. The correct option is the second option - 65. 42 inches cubed

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Answer:

Range: ( − ∞ , ∞ ) , { y | y ∈ R }

Step-by-step explanation:

Slope: 4

y-intercept: (0,0)

 X          Y

 0          0

  1          4

Answer:

all real number

Step-by-step explanation:

Answer:

42.875

Step-by-step explanation:

V=BxHxW

3 1/2 =3.5

3.5 x 3.5 x 3.5

=42.875 cubic in.

If the data values are as shown in the picture I have attached, then the following should help.

Answer: 226.56  m²

Step-by-step explanation:

  We need to find the area of three rectangles and two triangles.

    The triangles: 34.56 m²

A = [tex]\frac{B*H}{2}[/tex]

-> Since they are both congruent, we will skip dividing by two

A = B * H

A = 7.2 * 4.8

A = 34.56 m²

   The rectangles: 192 m²

A = L * W

-> We have two that are congruent, and one that is not

A = 10 * 6 * (2, since there are two)

A = 120 m²

-

A = L * W

A = 7.2 * 10

A = 72 m²

-

72 m² + 120 m² = 192 m²

   Total surface area:

34.56 m² + 192 m² = 226.56  m²

Based on the graph, the total perimeter of the doghouse Jeremy plans to build s 28 feet (twenty-eight feet).

This is the total distance of all the sides in a shape. Due to this, the general formula is:

8+10+10= 28 feet.

Note: This question is incomplete because the graph is missing; here is the graph:

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Hey there!

284 * 45^3

= 284 * 45 * 45 * 45

= 284 * 2,025 * 45

= 284 * 91,125

= 25,879,500

Therefore, your answer is:

25,879,500

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

[tex]w = 12.8 \: ft[/tex]

[tex]l = 4 \: ft[/tex]

[tex]v = 711.68 \: {ft}^{3} [/tex]

The height of the given rectangular prism.

[tex]v = lbh[/tex]

[tex]12.8 \times 4 \times h = 711.68 \: {ft}^{3} [/tex]

[tex]51.2 \times h = 711.68 \: {ft}^{3} [/tex]

[tex]h = \frac{711.68}{51.2} [/tex]

[tex]h = 13.9 \: ft[/tex]

Therefore, the height of the given rectangular prism is 13.9 feets.

The trapezium is an isosceles trapezium. Then the measure of all angles will be 54°, 36°, 36°, and 54°.

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a trapezium, one pair of opposite sides are parallel.

In the adjoining figure, ABCD is an isosceles trapezium in which angle ∠BCD = 2x and angle ∠ABC = 3x.

Then all the angles of the trapezium will be

Agngle ∠BCD = ∠ADC and angle ∠ABC = ∠BAD because the trapezium is an isosceles trapezium. Then we have

Then the value of x will be

∠ABC + ∠BCD + ∠CDA + ∠DAB = 180°

                        3x + 2x + 2x + 3x = 180°

                                              10x = 180°

                                                  x = 18°

Then the measure of all angles will be

∠ABC = ∠BAD = 3x = 3 × 18 = 54°

∠BCD = ∠ADC = 2x = 2 × 18 = 36°

More about the trapezium link is given below.

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That parallelogram in which adjacent sides are perpendicular to each other is called a rectangle.  The value of x is 10.

That parallelogram in which adjacent sides are perpendicular to each other is called a rectangle. A rectangle is always a parallelogram and a quadrilateral but the reverse statement may or may not be true.

The angle of a rectangle is always 90°, Also, the sum of the ∠CFD and ∠DFE is ∠CFE which is an angle of the rectangle CDEF. Therefore, we can write,

∠CFD + ∠DFE = 90°

6x + 3x = 90°

9x = 90°

x = 10

Hence, the value of x is 10.

Learn more about Rectangle:

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Step-by-step explanation:

Looking closely,

when x1=0, y1= 3

Also, when x2= 3, y2= 1

The slope therefore is,

(y2-y1)/(x2-x1)

= 1-3/2-0

= -2/2

Slope = -1

Answer:

if it is the area your talking about, but if it is the perimeter its 54

Step-by-step explanation:

The theoretical probability =[tex]\dfrac{5}{9}[/tex],  The experimental probability  = [tex]\dfrac{5}{12}[/tex]

The experimental probability of an event occurring is the number of times that it occurred when the experiment was conducted as a fraction of the total number of times the experiment was conducted.

The sample will be ={1,2,3,4,5,6,7,8,9}=9

favourable outcomes={1,3,5,7,9,}=5

The theoretical probability of spinning and odd number = [tex]\dfrac{5}{9}[/tex]

As she spends the spinner 12 times

The experimental probability = [tex]\dfrac{5}{12}[/tex]

Hence the theoretical probability =[tex]\dfrac{5}{9}[/tex],  The experimental probability  = [tex]\dfrac{5}{12}[/tex]

Learn more about experimental probability here:

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Answer:

The theoretical probability of spinning an odd number is equal to 5/9 The experimental probability of spinning an odd number is equal to 2/3. Therefore, the theoretical probability of spinning an odd number is less. than the experimental probability of spinning an odd number.

if you could give me brainliest i would greatly appreciate it.

Answer:

6

Step-by-step explanation:

Answer:

-x +x^ + 1

Step-by-step explanation:

s(x) - r(x) = 2x + 1 - ( - x^ + 3 x )

2x + 1 + x^ - 3 x

2x - 3x + x^ + 1

-x + x^ + 1

Answer:

8 & 1/3 yards equals 25 feet

Answer:

See below ~

Step-by-step explanation:

Arranging the data in increasing order

Mean

Median

Range

Answer:

Mean: 39

Median: 32.5

Range: 62

Answer:

g p + g q − g r + h p + h q − h r

Step-by-step explanation:

This is the correct simplified form of ( g + h ) ( p + q − r )

Hope this helped!

Answer:

gp + gq - gr + hp + hq - hr

Step-by-step explanation:

Expression:

(g + h)(p + q − r)

Choices:

gp + gq − gr + hp + hq − hr

gp + gq + gr + hp + hq + hr

gp + hq − r

Solution:

Multiply each term of g + h by each term of p + q - r.

You get:

gp + gq - gr + hp + hq - hr

Answer: 6.96 in^2

Step-by-step explanation:

Trapezoid Area

A = [tex]\frac{a+b}{2} h[/tex]

= [tex]\frac{1.5 + 3.3}{2} * 2.9[/tex]

= [tex]\frac{4.8}{2} * 2.9[/tex]

= 2.4 * 2.9

= 6.96

The answer is D. The roots are just where the line crosses the y axis.

Using the Pythagorean theorem:

c = sqrt(8^2 + 7^2)

c = sqrt(64 + 49)

c = sqrt(113)

c = 10.6

Answer:

The answer is D

Step-by-step explanation:

If you use. MAD then all you have to do is multiply add then divide so the 1/4 +1/16 +. 1/64 + 1/256 = 1/3 so round it and. its 1/3 (1/4)

Answer: choice d

Step-by-step explanation: i asked my mom :/

Only (c) makes sense.  The game draws people, which in turn means more cars and heavier traffic in the surrounding area.