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poizon [28]
2 years ago
5

Which is a possible way to rewrite the equation y=3x 3b solve for b?

Mathematics
2 answers:
Nata [24]2 years ago
8 0
3x-y/3=b, you are isolating b to the other side
Paladinen [302]2 years ago
4 0

we have

y=3x+3b

solve for b (clear variable b)

Adds -3x on both sides

y-3x=3x+3b-3x\\ 3b=y-3x

Divide by 3 on both sides

\frac{3b}{3} =\frac{y}{3} -\frac{3x}{3} \\ \\ b=\frac{y}{3}-x

therefore

the answer is

b=\frac{y}{3}-x

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A graph represents the perimeter ,y, in units for an equilateral triangle with the side lengths x units. The slope of the line i
kicyunya [14]

Answer:

see the explanation

The graph in the attached figure

Step-by-step explanation:

<u><em>The correct question is</em></u>

Explain what the slope and intercept mean in each situation.

A graph represents the perimeter,y, in units, for an equilateral triangle with side length x units. The slope of the line is 3 and the y-intercept is 0

we know that

The linear equation in slope intercept form is equal to

y=mx+b

where

m is the slope

b is the y-intercept

In this problem

y is the perimeter in units

x is the side length of a equilateral triangle

we have

m=3\\b=0

substitute

The linear equation is

y=3x ---> Is a proportional relationship because the line passes through the origin

see the attached figure to better understand the problem

<u><em>Explanation</em></u>

The slope is ---> m=\frac{3}{1}\frac{units}{unit}

That means

The ratio of perimeter of triangle to side length of triangle is 3:1

The y-intercept is 0

Remember that

The y-intercept is the value of y when the value of x is equal to zero

In this context

The y-intercept is the value of the perimeter when the value of the side length is equal to zero

so

The value of the perimeter is 0 when the value of side length is 0

3 0
2 years ago
Eight less than four times a number is less than 56. What are the possible values of that number
yan [13]
Let unknown number be x.

Given,

4x - 8 < 56

4x < 64

x < 16

Hence, x is any value less than 16.
4 0
2 years ago
Read 2 more answers
Recipe ingredients remain in a constant ratio no matter how many servings are prepared. Which table shows a possible
Tpy6a [65]

Answer:

Table N 4

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x=k or y=kx

<em>Verify the table 4</em>

For x=1, y=2

so

y/x=2/1=2

For x=2, y=4

so

y/x=4/2=2

For x=3, y=6

so

y/x=6/3=2

therefore

The constant of proportionality k is equal to 2 and the equation is equal to

y=2x

The table 4 represent a direct variation, therefore is a possible ratio table for ingredients X and Y

6 0
2 years ago
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Michael and Jacob are standing on two docks that are 20 miles apart. They are watching a ship that is out in the ocean. The angl
r-ruslan [8.4K]
Actually its A) Michael's dock would be closer because the angle opposite is smaller . 
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Grace is 7 years older than Elena. Grace is also 15 years old.
Alex73 [517]
The 3rd one is the answer
4 0
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