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densk [106]
3 years ago
14

What is domain and range in graphs and functions

Mathematics
1 answer:
geniusboy [140]3 years ago
4 0

domain is an area of territory owned or controlled by a ruler or government. and range is the area of variation between upper and lower limits on a particular scale.



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The radius of a circle is 9 times the radius of a smaller circle. The area of the smaller circle is 50 square centimeters. What
scoundrel [369]

Answer:

Let R = radius of big circle

r=radius of small circle

A1=Area of small circle

A2=Area of big circle

R=9r

A1=50cm^2

A1=pi*r*2

A2=pi*R^2

A2=pi*(9r)^2

A2=81*pi*r^2

A2=81*A1

A2=4050cm^2

Hence the big circle has area of 4050cm^2

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Very urgent please help me
lorasvet [3.4K]

Answer:

Step-by-step explanation:

8r + 9 + 7r + 6 = 90

15r + 15 = 90

15r = 75

r = 5

8(5) + 9 = 40 + 9 = 49

7(5) + 6 = 35 + 6 = 41

4 0
3 years ago
Match the graph of the function with the function rule.
mylen [45]

Answer:

y = 10( {4}^{x} )

Step-by-step explanation:

From the given exponential graph, the y-intercept is (0,10).

The only exponential function that, has this intercept is

y = 10( {4}^{x} )

Because when x=0, we obtain:

y = 10( {4}^{0} )

Simplify:

y = 10(1) = 10

6 0
4 years ago
What is the sum of the first 51 consecutive odd positive integers?
Angelina_Jolie [31]
We call:

a_{n} as the set of <span>the first 51 consecutive odd positive integers, so:

</span>a_{n} = \{1, 3, 5, 7, 9...\}

Where:
a_{1} = 1
a_{2} = 3
a_{3} = 5
a_{4} = 7
a_{5} = 9
<span>and so on.

In mathematics, a sequence of numbers, such that the difference between two consecutive terms is constant, is called Arithmetic Progression, so:

3-1 = 2
5-3 = 2
7-5 = 2
9-7 = 2 and so on.

Then, the common difference is 2, thus:

</span>a_{n} = \{ a_{1} , a_{1} + d, a_{1} + d + d,..., a_{1} + (n-2)d+d\}
<span>
Then:

</span>a_{n} = a_{1} + (n-1)d
<span>
So, we need to find the sum of the members of the finite series, which is called arithmetic series:

There is a formula for arithmetic series, namely:

</span>S_{k} = ( \frac{a_{1} +  a_{k}}{2}  ).k
<span>
Therefore, we need to find:
</span>a_{k} =  a_{51}  

Given that a_{1} = 1, then:

a_{n} = a_{1} + (n-1)d = 1 + (n-1)(2) = 2n-1

Thus:
a_{k} = a_{51} = 2(51)-1 = 101

Lastly:

S_{51} = ( \frac{1 + 101}{2} ).51 = 2601 

4 0
4 years ago
The Ortiz family must cover all but the bottom of their tent with a tarp. How big must the tarp be?
kirza4 [7]
Really big..............
5 0
3 years ago
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