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Ivanshal [37]
2 years ago
5

Someone please help. Ill give you brainiest.

Mathematics
1 answer:
Dimas [21]2 years ago
8 0
19. The absolute value equation of the graph is: y — | x - 0 | + 2 where (0,2) is the vertex.

Domain: (-∞, ∞)
Range: (-∞, 2]

A function is a relation in which no two ordered pairs have the same first component (inputs/x-values/domain) and different second components (outputs/y-values/range).

In determining whether a given relation is a function, we need to ask ourselves, does every first element (or input) correspond with EXACTLY ONE second element (or output)? 

In the case of an absolute value function, its relation is a function because each input corresponds to exactly one output. To demonstrate, I performed a Vertical Line test to show why it is a function.

The Vertical Line Test (VLT) allows us to know whether or not a graph is actually a function. If a vertical line intersects the graph in all places at exactly one point, then the relation is a function. As the attached graph of the absolute value function, EACH vertical line drawn crosses the graph only once. This graph passes the VLT, making it a function.


20.)

The set of first components (x-coordinates) in the ordered pairs is the DOMAIN of the relation.

The set of second components (y-coordinates) is the RANGE of the relation.

Domain: {-2, -1, 0, 1}.
Range: {4, 3, 2, 1, 0}.

The given relation is NOT a function. As you can see from the given diagram, the input value of 2 corresponds to two output values: 4 and 0.

Please mark my answers as the Brainliest if you find my explanation helpful :)

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Answer:

B

Step-by-step explanation:

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3 years ago
X — 5 < 3 OR x – 5 > 8
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Answer:

x<8 or x>13

Step-by-step explanation:

x-5 < 3

x < 3 + 5

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OR

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combining the two, the combined answer for x is

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8 0
3 years ago
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Standard issue passenger license plates in Ohio consist of three letters followed by four numbers. How many standard issue licen
dezoksy [38]

Answer:

The standard issue license plates that can be produced if there are no restrictions on the letters and numbers = 175760000

Step-by-step explanation:

If there are no restrictions, all numbers and letters are available to be used then. And with no restrictions, every number or letter can appear more than once.

There are 7 spaces available; 3 spaces for letters, 4 spaces for numbers

The different combination of letters and numbers then becomes,

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This is because, all 26 letters (A to Z) can occupy the first space, the second space and the third space. And all 10 digits (0 to 9) can occupy the fourth space, the fifth space, the sixth space and the seventh space.

So, the standard issue license plates that can be produced if there are no restrictions on the letters and numbers = 26 × 26 × 26 × 10 × 10 × 10 × 10 = 175760000 different standard issue license plates.

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3 years ago
How to change 13/20 to a percent
ASHA 777 [7]

Answer:

65%

Step-by-step explanation:

Since percentages are out of 100, you can write 13/20 as (13*5)/(20*5) = 65/100, which translates to 65%

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2 years ago
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asambeis [7]

Answer:

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Step-by-step explanation:

The given circle has equation

\sf \: x^2+y^2=16x

The equation of a circle with center (h,k) and radius r units is

\sf(x-h)^2+(y-k)^2=r^2(x−h)

\sf(x-7)^2+(y-5)^2=4^2(x−7)

\sf(x-7)^2+(y-5)^2=16(x−7)

<h2>❖ Tip❖ :- </h2>

This is the equation that has its center at the origin with radius 4 units.

When this circle is translated seven units to the right and five units up, then the center of the circle will now be at (7,5).

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