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Serhud [2]
1 year ago
7

State the domain and range of the following relation x^2+y^2=16

Mathematics
1 answer:
Vlada [557]1 year ago
8 0

The domain and range is  [-4, 4] and [0, 4]

<h3 /><h3>What is Domain and range?</h3>

The domain of a function is the set of values that we are allowed to plug into our function.

The range of a function is the set of values that the function assumes.

x² + y² = 16

y = √16 - x²

For domain under root should not be negative quantity,

16 - x²≥0

16≥x²

So, x≤4 or x≥4

Thus, the domain is  [-4, 4]

Range:

y is maximum at x=0, y=4

y is minimum at x=4, y=0

Thus, range = [0, 4]

Learn more about domain and range here:

brainly.com/question/12751831

#SPJ1

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Esteban is shopping for a bookshelf. He has 58 non-fiction books and 145 fiction books. He wants each shelf to have the same num
emmasim [6.3K]

Answer:

7

Step-by-step explanation:

Criteria:

• same number of books on each shelf

 ⇒find a number that divides 58 and 145

• greatest number of books on each shelf

 ⇒find the greatest number that divides 58 and 145

Find the GCF of 58 and 145.

58 = 2 ⋅ 29

145 = 5 ⋅ 29The GCF of 58 and 145 is 29.

Each shelf will contain 29 books.

There are 203 total books (because 58 + 145 = 203).

Divide 203 by 29 to find the number of shelves there should be.

203 / 29 = 7

Therefore, there will be 7 shelves.

5 0
1 year ago
Find the y intercept of -2,5 and 3,25
AlexFokin [52]

Answer:

Y-intercept = 13

Step-by-step explanation:

Since, given points are:  

(-2,5) and (3,25)

Now, by slope intercept form:

y= mx + b

Here, m= slope and b= y-intercept

In order to find y-intercept, we must find slope firstly:  

Since,

Slope= m= y2-y1 / x2-x1  

m= 25 - 5 / 3 - (-2)

m= 20 / 5  

m= 4  

Put ‘m’ in slope intercept form:

y= 4x + b  

Substitute either point into above equation:

25= 4(3) +b

25= 12 + b  

25 - 12 = b

or b= 25 - 12

b= 13

Hence, y-intercept is 13.  

6 0
3 years ago
Find the slope of the line that passes through the two points below.<br> (3,4) and (3,-1)
tangare [24]

Answer:

Slope = (-5,0)

Step-by-step explanation:

When given two points and asked to find the slope, you can find the answer using slope formula which is:

slope = (y2 - y1) / (x2-x1)

You have been given the points (3,4) and (3,-1). You can select which ones to be x1 and y1 and which ones to be x2 and y2. It doesn't matter which, so let's just do (3,4) are x1 and y1 and (3,-1) are x2 and y2. Now we can plug it into the formula.

Slope = (-1 - 4) / (3-3)

= -5 / 0

= -5,0

So the answer is (-5,0).

8 0
2 years ago
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If f(x) is shifted 4 units to the left and 6 units up, what is the equAation of the resulting graphs
irina1246 [14]

Answer:

f= (x-4, y+6) or f= (x-4),(y+6)

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4 0
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