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katrin2010 [14]
2 years ago
12

FUNCTION OR NOT /// ALGEBRA I

Mathematics
1 answer:
guapka [62]2 years ago
5 0

Answer:

First figure: The graph is not a function

Second figure:

Statement 1: It is false

Statement 2: It is false

Statement 3: It is right

Step-by-step explanation:

First graph is not a function.

The domain of it is ⇒ 0 ≤ x < 3 , 3 < x ≤ 6 , 6 ≤ x < 9

From the domain ⇒ x = 6 has two corresponding values of y⇒ 3 and 4

∴ It is not a function because every x must have one and only one

  corresponding value of y

Second figure

{(3 , 6) , (4 , 6) , (5 , 7) , (6 , 8) , (7 , 10) , (8 , 10)}

<u>Statement 1</u>: It is false because we use x-value to check function or not.

The relation is a function because every x-value has one corresponding

y-value

<u>Statement 2</u>: It is false because 3 ≤ x ≤ 8 means we will use for x all real numbers from 3 to 8 not only the integers 3 , 4 , 5 , 6, ,7 , 8

The domain of this function is { 3 , 4 , 5 , 6 , 7 , 8 }

<u>Statement 3</u>: It is right because the range is the y-value and all the y-value in the function are 6 , 7 , 8 , 10

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A line segment has endpoints at (8, 3) and (2,5). What would be the equation of this line's perpendicular bisector?
ale4655 [162]

Answer:

y  = −1/3x+17/3

Step-by-step explanation:

The line segment has slope -1/3. This means that any line perpendicular to it will have a slope of 3 (negative reciprocal)

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What is the volume of the following triangular pyramid?
Readme [11.4K]

Answer:

The volume of the triangular  pyramid

         V = 566.66 in³

Step-by-step explanation:

<u><em>Step(i):-</em></u>

The volume of the triangular  pyramid

            = \frac{1}{3} X base area X height

Base area  = Area of the triangle

             A= \frac{1}{2} X base  X height

 Given the base of the triangle  (b) = 17in

  Given Height of the triangle (h ) =10 in

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The base area of the pyramid ( A) = 85 in²

<u><em>Step(ii):-</em></u>

<u><em>Given the height of the pyramid  (h) = 20in</em></u>

The volume of the triangular  pyramid

            = \frac{1}{3} X base area X height

The volume of the triangular  pyramid

         = = \frac{1}{3}( 85)(20) = 566.66

<u><em>Final answer:-</em></u>

The volume of the triangular  pyramid

         V = 566.66 in³

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2 years ago
Write the coordinates of the vertices after a reflection over the line y = x
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