The domain and range of a function is the set of input and output values, the function can take.
- <em>The domain is [0,6]</em>
- <em>The range is [0,90]</em>
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From the question, we have:

<u>The domain</u>
He cannot mow more than 6 yards a day.
This means that the domain is: 0 to 6
<em>This is properly represented as: [0,6]</em>
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<u>The range</u>
When he mows 0 yards, his earnings is:

When he mows 6 yards, his earnings is:

This means that the range is: 0 to 90
<em>This is properly represented as: [0,90]</em>
Read more about domain and range at:
brainly.com/question/4767962
x + (x + 3) +
= 75
so you will add up all of the x 's but NOT the x^2
2x + 3 +
= 75
Rearrange to put the x^2 in front of 2x
+ 2x + 3 = 75
subtract the 75 from both sides
+ 2x - 72 = 0
I think It’s 0.70 and in fraction is 512/729
Answer:
The portion of the volume of the cup that is filled with water is 
Step-by-step explanation:
step 1
Find the volume of the paper water cup
The volume of the cone is equal to

we have


substitute


step 2
If the cup is filled with water to half its height, find out what portion of the volume of the cup is filled with water
Remember that
If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube
In this problem the similar cone has half the height of the complete cone
so
The scale factor is equal to 1/2
therefore
The volume of the cup that is filled with water is equal to the volume of the complete cup by the scale factor elevated to the cube

therefore
The portion of the volume of the cup that is filled with water is
