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Hatshy [7]
2 years ago
7

Select the correct answer,

Mathematics
1 answer:
Slav-nsk [51]2 years ago
6 0
Give me 8 mins i will answer in the comments
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Part 1 state the domain and range of the given relation.
hram777 [196]
A relation is any set of ordered pairs, which can be thought of as (input, output).

A function is a relation in which NO two ordered pairs have the same first component and different second components.

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.

Part 1:
Domain: {-1, 1, 3, 6}
Range: {2, 2, 2, 2}

Part 2:
To determine whether the given relation represents a function, look at the given relation and ask yourself, “Does every first element (or input) correspond with EXACTLY ONE second element (or output)?”

Remember that a function can only take on 1 output for each input.

It helps to plot the points on the graph and perform the Vertical Line Test (VLT):

The Vertical Line Test 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 you can see in the attached screenshot, every vertical line drawn only has 1 point in it. This means that each x-value corresponds to exactly one y-value. The given relation passed the VLT. Therefore, the relation is a function.


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

5 0
2 years ago
Find the volume of a cylinder with a height of 8cm and a radius of 3cm
kolezko [41]

Answer:

V≈226.19cm³

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Please answer this I give brainliest! :-) No responding fake answers, will be reported to the service:
Mrrafil [7]

Answer:

c=35 + 25m

Step-by-step explanation:

Sorry, that's all I got

3 0
3 years ago
In order to have 6,000,000 in 40 years with a 5.75% rate. how much should be deposited each month?
PSYCHO15rus [73]

Answer:

Step-by-step explanation:

This is an Annuity question. It is asking for recurring monthly payment(PMT).  <em>You can use a financial calculator to solve it. I am using (Texas Instruments BA II plus)</em>

Since the payments occur monthly , adjust the interest rate to monthly rate and multiply  40 years by 12 since we have 12 months in a  year<em>.</em>

Total duration of investment ; N = 40*12 = 480

Interest rate; I/Y = 5.75% /12 = 0.4792%

Future value; FV = 6,000,000

Present value ; PV = 0

then CPT PMT = 3,222.912

Therefore $3,222.91  should be deposited each month to achieve the goal.

4 0
3 years ago
THIRD TIME ASKING FOR HELP PLEASE HELP ME!!!!!!!!!!!!!!!!!!!
Fed [463]
<h3>Answer:  9 units</h3>

========================================================

Explanation:

For now, focus on triangle ABD. This is a right triangle due to BD being an altitude.

Use the pythagorean theorem to find that...

(AD)^2 + (BD)^2 = (AB)^2

(1)^2 + (BD)^2 = (3)^2

1 + (BD)^2 = 9

(BD)^2 = 9-1

(BD)^2 = 8

Normally we would isolate BD itself, but I'll stop short and use that last line instead.

------------------

The triangles ABD and BCD are similar triangles (we can prove this using the AA similarity theorem).

Since we have similar triangles, we can form the proportion shown below

AD/BD = BD/CD

This cross multiplies to

AD*CD = (BD)^2

We know that AD = 1 and (BD)^2 = 8, so,

AD*CD = (BD)^2

1*CD = 8

CD = 8

This then means,

x = CD+DA

x = 8+1

x = 9

AC is 9 units long.

8 0
2 years ago
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