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OverLord2011 [107]
2 years ago
14

What is the domain of the function graphed below?

Mathematics
2 answers:
grigory [225]2 years ago
5 0
It is 7,infinite charater thing
Vlad1618 [11]2 years ago
3 0

Answer:

The domain is the set of x values for which the function resides in.

In this graph, it is unclear as to if the function goes on to infinity, but if it does, the answer is quite easily:

(-2, 4] and [7, ∞)

since the function starts on the left at -2 then continues to the right, with a pause, then indefinitely after.

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On a coordinate plane, a line goes through (negative 12, negative 2) and (0, negative 4). A point is at (0, 6).
mariarad [96]

Point (-12 , 8) is on the line that passes through (0, 6) and is parallel to the given line ⇒ 1st

Step-by-step explanation:

Parallel lines have:

  • Same slopes
  • Different y-intercepts

The formula of the slope of a line which passes through points (x_{1},y_{1}) and (x_{1},y_{1}) is m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

∵ The given line passes through points (-12 , -2) and (0 , -4)

∴ x_{1} = -12 , x_{2} = 0

∴ y_{1} = -2 , y_{2} = -4

- Use the formula of the slope above to find the slope of the given line

∵ m=\frac{-4-(-2)}{0-(-12)}=\frac{-4+2}{12}=\frac{-2}{12}=\frac{-1}{6}

∴ The slope of the given line is \frac{-1}{6}

∵ The two lines are parallel

∴ Their slopes are equal

∴ The slope of the parallel line = \frac{-1}{6}

∵ The parallel line passes through point (0 , 6)

- The form of the linear equation is y = mx + b, where m is the slope

  and b is the y-intercept (y when x = 0)

∵ m = \frac{-1}{6} and b = 6

∴ The equation of the parallel line is y = \frac{-1}{6} x + 6

Let us check which point is on the line by substitute the x in the equation by the x-coordinate of each point to find y, if y is equal the y-coordinate of the point, then the point is on the line

Point (-12 , 8)

∵ x = -12 and y = 8

∵ y = \frac{-1}{6} (-12) + 6

∴ y = 2 + 6 = 8

- The value of y is equal the y-coordinate of the point

∴ Point (-12 , 8) is on the line

Point (-12 , 8) is on the line that passes through (0, 6) and is parallel to the given line

Learn more:

You can learn more about the equations of parallel lines in brainly.com/question/9527422

#LearnwithBrainly

4 0
3 years ago
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Which quadrant does the coordinate (-8, 12) lie?
marysya [2.9K]
In quadrant 2 is where it lies.
3 0
2 years ago
What is 25 ties 3 divited by 19
otez555 [7]

Answer:3.9

Step-by-step explanation:

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2 years ago
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Warning! No identities used in the lesson may be submitted. Create your own using the columns below. See what happens when diffe
dlinn [17]

Answer:

Tthe solution is in the attached file

Step-by-step explanation:

The step by step calculation is as shown in the attachment

4 0
3 years ago
In a rectangle ABCD, A and B are the points (4,2) and (2,8) respectively l. Given that the equation of AC is y=x-2. Find the equ
Nastasia [14]
Hello,

A=(4,2)
B=(2,8)

(AB)≡y-2=(x-4)*(8-2)/(2-4) ==> y=-3x+14
(BC)≡y-8=(x-2)*1/3 ==> y=1/3 x+22/3



4 0
2 years ago
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