Which one of these shapes is not like the others? Explain what makes it deferent by representing each width and height pair with a ratio.

Using polynomial division, it is found that the expression that represents the amount of candy sold each year per type at Cassandra's Candy Corner is:

[tex]2x^2 - 5x + 52[/tex]

The amount of candy sold per type is given by the following division:

[tex]\frac{C(x)}{T(x)} = \frac{4x^3 + 10x^2 + 54x + 520}{2x + 10}[/tex]

The denominator can be written as:

[tex]2x + 10 = 2(x + 5)[/tex]

At the numerator, to see if we can simplify, we verify if x = -5 is a factor:

[tex]C(-5) = 4(-5)^3 + 10(-5)^2 + 54(-5) + 520 = 0[/tex]

Since C(-5) = 0, it is a factor of the numerator, and thus, since the numerator is of the 3rd degree, it can be written as a 3 - 1 = 2nd degree polynomial multiplying x + 5:

[tex](ax^2 + bx + c)(x + 5) = 4x^3 + 10x^2 + 54x + 520[/tex]

[tex]ax^3 + (5a + b)x^2 + (5b + c)x + 5c = 4x^3 + 10x^2 + 54x + 520[/tex]

Equaling both sides:

[tex]a = 4[/tex]

[tex]b = 10 - 5a = -10[/tex]

[tex]5c = 520 \rightarrow c = 104[/tex]

Thus:

[tex]C(x) = (4x^2 - 10x + 104)(x + 5)[/tex]

And:

[tex]\frac{C(x)}{T(x)} = \frac{(4x^2 - 10x + 104)(x + 5)}{2(x + 5)} = 2x^2 - 5x + 52[/tex]

Thus, the expression is:

[tex]2x^2 - 5x + 52[/tex]

A similar problem is given at https://brainly.com/question/13586325

Answer:

Step-by-step explanation:

there are 2 ways to graph equations. I'll teach u the faster way.

step 1) graph the y-intercept.

so the slop-intercept form of a line is y=mx+b. b represents the y-intercept and m represents the slope. u need two points to graph a line, the first point will be the y intercept. in this case, the y-intercept is -5. so this is what you should do: (the underlined star represents a point. also, the underlined star is on point -5.)

                     | y

                     |

                     |

                     |

------------------------------------------------------------x

                     |

                     |

                     |

                     |

                    *

                     |

step 2) graph the second point using the slope.

slope equals rise over run. (m=rise/run.) in this case, the slope is 5/1. To graph the second point, u should RISE up by 5 and RUN to the right by one:  (the underlined star is on point 1.)

                     | y

                     |

                     |

                     |

-----------------------*-------------------------------------x

                     |

                     |

                     |

                     |

                    *

                     |

now draw a line through those two points.

still confused? watch the first video that pops up after searching: how to graph a line

i couldnt insert the link to the vid for whatever reason but that vid helped me learn

2/5

Step-by-step explanation:

0.4

= 4/10 → divided by 2

= 2/5

Answer:

Step-by-step explanation:

communicative because you moved the three to the other side

Answer:

x=20

Step-by-step explanation:

‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎[tex]\sf{\longrightarrow x = 20}[/tex]

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎

[tex]\begin{gathered}\rm{ \underline{ \underline{ \red{Given}}}}\begin{cases}\sf{m||n} & \\ \\\sf{a\:transvey\:l\:passes\: through\:m\:and\:n}& \\ \\ \sf{two \:angles = (7x-3)°\:and\:(6x+17)°}&\end{cases}\\\\\end{gathered} [/tex]

⠀⠀━━━━━━━━━━━━━━━━━━━━━━━━━━━━⠀⠀

➠ Using the property of adjacent angles and vertically opposite angles , we have :

‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎[tex]\sf{\longrightarrow (7x-3)=(6x+17)}[/tex]

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎

‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎[tex]\sf{\longrightarrow 7x-3-6x-17=0}[/tex]

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎

‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎[tex]\sf{\longrightarrow 7x-6x-3-17=0}[/tex]

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎

‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎[tex]\sf{\longrightarrow x-20=0}[/tex]

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎

‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎[tex]\sf{\longrightarrow x=20}[/tex]

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎

⠀⠀━━━━━━━━━━━━━━━━━━━━━━━━━━━━⠀⠀

Answer/Step-by-step explanation:

The statement of question 7 is, "There are not 7 days in a week and Halloween is not on October 31st."

We know both of these statements are incorrect, therefore the truth value is False.

Answer:

A reflection over the x-axis

Step-by-step explanation:

      If you were to put a mirror up to the x-axis and look at one of the shapes, you would "see the" other so we can conclude this is a reflection over the x-axis.

In other words, you could "fold" the graph in half over the x-axis and the two figures would line up.

Answer:

15.8 or 15 4/5

Step-by-step explanation:

Using a system of equation to represent the scenario described, the cost is purchase made is $12.70

Cost of 5 bags of chips and 7 bottles of soda :

5(1.35) + 7(0.85) = $12.70

The cost of x bags of Chips and x bottles of soda can be expressed thus :

Therefore, the cost of x and y bags of Chips and soda respectively is 1.35x + 0.85y

Learn more : https://brainly.com/question/16102577

Answer:

Option a

Step-by-step explanation:

Using distributive property:

y(x+7)=y•x+y•7

=yx+7y

Answer:

a

Step-by-step explanation:

the correct answer is $948

Answer:

3

Step-by-step explanation:

To evaluate |3b - 4a| substitute a = -3 and b = -5 in the given expression.

|3(-5) - 4(-3)| , multiply

|-15 +12| , add

|-3| , take the -3 out of the absolute value

3

Hey there!

|3b - 4a|

= |3(-5) - 4(-3)|

= |-15 - (-12)|

= |-15 + 12|

= |-3|

= |3|

= 3

Therefore, your answer is: 3

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

1

Step-by-step explanation:

by equality of triangles

13x-12=7x-6

13x-7x=12-6

6x=6

x=1

9514 1404 393

Answer:

 B.  Two

Step-by-step explanation:

There are two points that are 4 inches from A and 6 inches from B.

__

Additional comment

They are at the intersection points of circle A with radius 4 inches and circle B with radius 6 inches.

Step-by-step explanation:

Answer is 11

plz mark me as brainest

If you are going from a larger unit to a smaller unit, you multiply by successively. If you are going from a smaller unit to a larger unit, you divide by successively. The factor label method can also be applied to conversions within the metric system.

When you are converting from a larger unit to a smaller unit, you will always divide.

When you are converting from a larger unit to a smaller unit, you will always divide. This is because as you move from a larger unit to a smaller unit, you are breaking the quantity down into more individual parts, hence the need for division.

For instance, to convert 5 m to centimeters;

5 meters x (100 centimeters / 1 meter) = 500 centimeters

As you can see, we divided 5 meters by 100 (the number of centimeters in one meter) to obtain the equivalent length in centimeters, which is 500 centimeters.

Learn more about unit conversion:https://brainly.com/question/28600662

#SPJ3

PQR is a right triangle - TRUE .

Answer:

I think it's true

Step-by-step explanation:

PQR is a right triangle. Hope this helps you!

[tex]SilentNature\\(GraceRosalia)[/tex]

Answer:

f/2 is the answers for the question

Step-by-step explanation:

please mark me as brainlest

Here is a model I have made (I'm not a great artist). There are 42 circles in total, placed in 7 columns. Each column has 6 circles. This model represents 42/7 by splitting 42 into 7 parts, which are the columns, and showing that each column has 6 circles, which is the answer to 42/7.

The model to represent 42/7 is shown in the image attached,

A "model" is a representation or abstraction of a system, concept, process, or phenomenon that helps us understand, predict, or explain how things work or interact.

In this image representation, each number  represents one-seventh of the whole. One can shade in six of them to represent 42/7.  In a more technical context,  precise methods of representing fractions, such as using mathematical notation or diagrams is used.

Read more about model  here:

https://brainly.com/question/29382846

#SPJ3

Answer:

-10

Step-by-step explanation:

y = (x - 5) (x + 2)

y = (3 - 5) (3 + 2)

y= (-2) (5)

y= -2 x 5

y= -10

Answer:

Equation: y = -3x -2

Graph: Attached below ↓↓↓↓↓

Step-by-step explanation:

The equation is y = -3x + b

We need B at this point.

Since we have a point given to us,( -2, 4)we can input the x and y

Solve:

4 = -3(-2) + b

4 = 6 + b

b = -2

So the equation we have is y = -3x -2

Let's graph the line.

We go 2 units below the x-axis, because the y-intercept is -2, and the slope is -3, so we go down 3 units, and to the right 1.

Picture attached:

-Chetan K

Answer:

you multiply the number of boxes to the number of lines. Step-by-step explanation:

I'm very sorry if that is wrong.

Answer:

not enough information there's no equation

Answer:

3

Step-by-step explanation:

....,.................

Answer:

4/5

Step-by-step explanation:

the equation for the slope of a line is

[tex]y=\frac{y_{2 - y_{1} } }{x_{2}-x_{1} }[/tex]

we can find the two points (-2,0) and (3,4) on the graph

plugging the points into the equation, we get (4-0)/(3-(-2)

= 4/5

Answer:

D

Step-by-step explanation:

since we have -5 and 3, in order to translate f(g) into f(x), we subtract 8 from f(g)

The graph of g(x) is the same as the graph of f(x) translated up 8 units. Therefore, option B is the correct answer.

A translation in math moves a shape left or right and/or up or down. The translated shapes look exactly the same size as the original shape, and hence the shapes are congruent to each other. They just have been shifted in one or more directions.

Given that, f(x)= 6x-5 and g(x)= 6x+3.

When the shape is moved up by k units, then replace y with y + k.

Here, g(x)=6x-5+8

g(x)= 6x+3

The graph of g(x) is the same as the graph of f(x) translated up 8 units. Therefore, option B is the correct answer.

To learn more about the translation visit:

https://brainly.com/question/17485121.

#SPJ2