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Aloiza [94]
2 years ago
6

Which is the correct equation of the line for the following graph?

Mathematics
1 answer:
Wewaii [24]2 years ago
3 0

Answer:

  (c)  y = -3x +6

Step-by-step explanation:

The equation can be written in slope-intercept form when we know the slope and the y-intercept.

<h3>Slope-intercept form</h3>

The slope-intercept form of the equation of a line is ...

  y = mx +b . . . . . . where m is the slope and b is the y-intercept

<h3>Y-intercept</h3>

The y-intercept is the y-value where the line crosses the y-axis. It is 6. This eliminates choices A and D, leaving choices ...

  • y = 3x +6 . . . . . choice B
  • y = -3x +6 . . . . .choice C

<h3>Slope</h3>

The line goes down to the right. This is a negative slope, eliminating choice B.

The equation of the line is y = -3x +6.

__

<em>Additional comment</em>

The line intersects the x-axis at x=2. This means the "rise" of the line is -6 units for a "run" of 2 units. The numerical value of the slope is ...

  m = rise/run = -6/2 = -3

Now, we know the parameters of the equation are m=-3, b=6, and the equation of the line is

  y =-3x +6

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Answer:

  236 kcal

Step-by-step explanation:

  (50 g protein)(4 kcal/(g protein)) +(4 g fat)(9 kcal/(g fat)) = (200 +36) kcal

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Step-by-step explanation:

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Simplify 6(x+4)=-2(4x-4)+8x
AveGali [126]

\huge\mathscr{\colorbox{blue}{\color{yellow}{Answer:}}}

\large{\rightarrow{6\:(x\:+\:4)\:=\:-\:2\:(4x\:-\:4)\:+\:8x}}

\large{\rightarrow{6\:(x\:+\:4)\:=\:-\:2\:(4x\:-\:4)\:+\:8x}}

\large{\rightarrow{6x\:+\:24\:=\:-\:8x\:+\:8\:+\:8x}}

\large{\rightarrow{6x\:+\:24\:=\:{\cancel{-\:8x}}\:+\:8\:+{\cancel{\:8x}}}}

\large{\rightarrow{6x\:+\:24\:=\:8}}

\large{\rightarrow{6x\:=\:8\:-\:24}}

\large{\rightarrow{6x\:=\:16}}

\large{\rightarrow{x\:=\:\frac{-\:16}{6}}}\\

\large\pink{\boxed{\color{lime}{\rightarrow{x\:=\:\frac{-\:8}{3}}}}}\\

3 0
3 years ago
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aleksley [76]

Answer:

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Step-by-step explanation:

8x² - 6x + 2 - (3x² +7x -4)

Simplify the expression:

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Combine like terms:

5x² - 13x + 6

6 0
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