Razi is filling bags with party favors for his birthday party. The table to the right shows the number of bags he still needs to fill after 4, 5, 6, and 7 minutes. If he is working at a constant rate, what was the initial number of party favor bags Razi had to fill? 36 48 52 56

Answers

Answer 1

Answer:52

Step-by-step explanation:.

Answer 2

By using the concept of the point-slope form of an equation,

The initial number of party favor bags Razi had to fill would be 52.

In this situation, the independent variable (x) is the amount of time in minutes.  

The dependent variable (y) is the number of bags remaining.

Since he is working at a constant rate, this makes it a linear function.  

In a linear function, the amount he had to fill, to begin with, is the y-intercept.  

Since The point-slope form of the equation is,

y - y₁ = m(x - x₁)

First, we find the slope using the formula

m = (y₂-y₁)/(x₂-x₁)

m = (32-36)/(5-4)

m = -4/1

m = -4

Using this and the first point, we have

y - 36 = - 4(x - 4)

Using the distributive property, we have

y - 36 = -4(x)- 4(-4)

y - 36 = -4x--16

y - 36 = -4x + 16

Add 36 to each side:

y - 36 + 36 = -4x + 16 + 36

y = -4x + 52

So, for the initial number of party favor bags Razi had to fill;

Substitute x = 0;

y = - 4 (0)+ 52

y = 52

Hence,

The required initial number is 52.

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The missing table in the question is attached below.

Razi Is Filling Bags With Party Favors For His Birthday Party. The Table To The Right Shows The Number

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Step-by-step explanation:

Using the method of long division to divide the polynomial by x + 4

               

                   x² - 5x + 6

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

x + 4   |  x³ - x² - 14x + 24

             x³ + 4x²

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

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                               6x + 24

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

                              0        0

The quotient is x² - 5x +  6 = (x - 2)(x - 3)

x³ - x² - 14x + 24 = (x - 2)(x - 3)(x + 4) ← in factored form

 

          |

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Answers

Answer:

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Step-by-step explanation:

papi

Answer:

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Answers

Answer:

See answer below

Step-by-step explanation:

  y = one time fee

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  $35 per hours ×  hours work and you did not used the total cost $190

Next time rewrite the sentence and translate into an equation.

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Answers

Answer:

Step-by-step explanation:

Point slope form: y - y1 = m(x -x1)

[tex]y - [-16] = \dfrac{1}{2}(x - [-3] )\\\\y + 16 = \dfrac{1}{2}(x + 3)\\\\\\y + 16 = \dfrac{1}{2}x + \dfrac{3}{2}\\\\y =\dfrac{1}{2}x+\dfrac{3}{2}-16\\\\y=\dfrac{1}{2}x +\dfrac{3}{2}-\dfrac{32}{2}\\\\\\y=\dfrac{1}{2}x - \dfrac{29}{2}[/tex]

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[tex]y= -\frac12 x +\frac{29}2[/tex]

Step-by-step explanation:

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[tex]y-y_0=m(x-x_0)[/tex]

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We're almost there, we just need to write it in a better looking form.

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Answers

Answer: 8

Step-by-step explanation:

Ok, start going backwards with the addition and substration which makes it:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:  

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Answer:

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Step-by-step explanation:

---------

The solution of expression 40.8 divide by 12 is, 3.4

The given numbers to divide are,

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Let us assume that, a is divided by b,

Then, it can be written as,

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Hence, We can write as,

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⇒ 408 / 120

⇒ 3.4

Therefore, The solution of expression 40.8 divide by 12 is, 3.4

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Answers

Yes you did great job

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Answers

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Answers

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Hopefully this helps!!

The given formula written in the form of x as the subject is obtained as  x = (c - 6)/b.

What is a Linear equation?

A linear equation is a equation that has degree as one.

To find the solution of n unknown quantities n number of equations with n number of variables are required.

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It can be rewritten as follows,

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⇒ bx = c - 6

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Which implies the formula written as x as the subject.

Hence, the required form of the given formula is  x = (c - 6)/b.

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Answers

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

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ok done. Thank to me :>

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Step-by-step explanation:

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Step-by-step explanation:

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