Estimate the solution to the following system of equations by graphing
3x+5y=14
6x-4y=9

2/5

Step-by-step explanation:

0.4

= 4/10 → divided by 2

= 2/5

The process of isolating the variable is the primary step involved in solving an equation.

Thus, option (B) is correct.

A) Substitution refers to the act of replacing a variable with a known value in an equation, which can be a useful strategy in some cases but is not a fundamental step in solving equations.

B) To solve an equation, it is necessary to perform operations that isolate the variable on one side of the equation and keep the other side free of the variable.

C)To verify if the obtained solution satisfies the original equation, but it is not a step required to solve the equation.

D) It states that if a = b, then b = a.

It is a property that allows us to interchange the positions of two equal expressions in an equation but is not directly related to solving equations.

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Answer:

Work the bracket first

610 - 15 = 595

multiply by 4

595 x 4 = 2380

add 0.4

final answer is 2380.4

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.

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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

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Answer: It can sometimes be difficult to divide fractions, such as 5/9 divided by 8/5. But it's no problem! We have displayed the answer below: 5/9 ÷ 8/5 = 25/72

Step-by-step explanation: Hope this help u bru

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:

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:

-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/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.

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

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]

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its too long and if you want someone to do it fast it takes a long time

Answer:

Step-by-step explanation:

PLEASE MARK AS BRAINLIEST!!!!!

Answer:

3

Step-by-step explanation:

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

Answer: 36

Step-by-step explanation:

27+9=36

Answer:

36

Step-by-step explanation:

27+9=36

I steven lives 9 more miles than john we are adding.

Answer:

The answer is 1/6

Step-by-step explanation:

-12/16 + (11/12)

-3/4 + 11/12

Take LCM

-3 × 6/4 × 6 + 11 × 2/12 × 2

-18/24 + 22/24

-18 + 22/24

4/24 = 1/6

Thus, The answer is 1/6

-TheUnknownScientist 72

Answer:

Step-by-step explanation:

communicative because you moved the three to the other side

Anser: rely hard for me sry

explennatien:

i dont no the anser im only 6 year old

Answer:

1

Step-by-step explanation:

by equality of triangles

13x-12=7x-6

13x-7x=12-6

6x=6

x=1

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.

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Answer:

no

Step-by-step explanation:

no

The solution is, the slope of the line below is 1/2.

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

here, we have,

from the given graph, we get,

the line is passing through the points (-2, -3 ) and, (2, -1 )

now , we know that,

We can find the slope of a line given two points by using the following:

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

so, substituting the values of the coordinates of the points,

we get,

m = -1 + 3 / 2 + 2

   = 2 / 4

   = 1/2

Hence, The solution is, the slope of the line below is 1/2.

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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