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STALIN [3.7K]
3 years ago
7

Graph y=x^2+1 is it a function

Mathematics
1 answer:
frez [133]3 years ago
7 0
Hello,

The graph of y = x² + 1 most certainly is a function. 
It is a function because for every value of x, there is only one value of y. 

The domain of y = x² + 1 is the set of all real numbers and the range is y ≥ 1. 
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Find the value of two numbers if their sum is 112 and their difference is 66.
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Answer:

x+y = 112 ........ (1)

x-y = 62............ (2)

from (1) and (2)

2x = 174

x = 174/2

x = 87

sub x = 87 in (1)

x+y = 112

87+y = 112

y = 112 - 87

y = 25

so the numbers are 87 and 25

Step-by-step explanation:

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In a circle, area and circumference can be found using the formulas A=(pi)r^2 and C=2(pi)r, respectively, Write a formula for A
AURORKA [14]

Answer:

A = \dfrac{C^2}{4\pi}

Step-by-step explanation:

Given that

Area of a circle A=\pi r^2

Circumference of the circle C = 2 \pi r

Let us re-write the equation of area of circle:

A=\pi r^2

A = \pi \times r \times r

Multiplying and dividing with 2:

A = \dfrac{2\pi r}{2} \times r\\\text{Putting }2\pi r = C:\\\Rightarrow A = \dfrac{C}{2} \times r\\\text{Multiplying and dividing by } 2\pi:\\\Rightarrow A = \dfrac{C}{2} \times \dfrac{2\pi r}{2\pi}\\\text{Putting }2\pi r = C:\\\Rightarrow A = \dfrac{C \times C}{4 \pi}\\\Rightarrow A = \dfrac{C^2}{4 \pi}

Hence, <em>A</em> in terms of <em>C</em> can be represented as:

A = \dfrac{C^2}{4\pi}

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