Identify if there is a function in each given relation. 1. {(cat, 1), (dog, 5), (cat, 6), (chicken, 9)) 2. ((a,10), (b, 11), (-a, 12), (c,13)},

Answers

Answer 1

Answer:

The relation {(cat, 1), (dog, 5), (cat, 6), (chicken, 9)} is not a function, because there are two ordered pairs with the same first element, "cat" - (cat, 1) and (cat, 6). In a function, each input (first element) must correspond to only one output (second element).

The relation { (a,10), (b, 11), (-a, 12), (c,13)} is also not a function, because the input "-a" and "a" have different outputs (12 and 10, respectively). In a function, each input must correspond to only one output.

A function is a relation between a set of inputs and a set of possible outputs with the property that each input is associated with exactly one output. In other words, for each input, there is only one output.

The concept of functions is important in many areas of mathematics and its applications, such as physics, engineering, and computer science. Functions can be represented using various mathematical notations, such as tables, graphs, or algebraic formulas.

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What is the prime number of 24

Answers

2*2*2*3 is the prime numbers of 24

the prime number of 24 is 2

A grid shows the positions of a subway stop and your house. The subway stop is located at (7, -6) and your house is located at (-9, 5). What is the distance, to the nearest unit, between your house and the subway stop?

Answers

Answer: 19 units

Step-by-step explanation:

Given: The subway stop is located at (7, -6) and house is located at (-9, 5).

The distance formula to find distance between $(x_1,y_1)\ and (x_2,y_2)$ is given by :-

$d=√((x_2-x_1)^2+(y_2-y_1)^2)$

Therefore, the distance between house(-9, 5) and the subway stop(7, -6) is given by :-

$d=\sqrt{(7-(-9))^2+(-6-5)^2\n\n\Rightarrow\ d=√((16)^2+(-11)^2)}\n\n\Rightarrow\ d=√(256+121)\n\n\Rightarrow\ d=√(377)\n\n\Rightarrow\ d=19.4164878389\approx19\ units$

Use the distance formula!

d = square root of (x2-x1)^2 + (y2-y1)^2

=19.4165

What value of x makes the equation true? 42/54= x/9 A. 2 B. 7 C. 14 D. 36

Answers

B) 7 would make it true, since both 42/54 and 7/9= 0.77 repeating

What is 3-3×6+2 please help me

Answers

the answer to that is 2 can u plz place this answer as brainliest, thanks!

3-3X6+2

PEMDAS
3-(3X6)+2
3-(9)+2
3-(11)
= -8
I THINK? I HOPE....

The difference of two numbers is 11 and their product is 42.find these numbers.

Answers

$\left\{\begin{array}{ccc}x-y=11&\to x=y+11\nx\cdot y=42\end{array}\right\n\n(y+11)y=42\ny^2+11y-42=0\ny^2+14y-3y-42=0\ny(y+14)-3(y+14)=0\n(y+14)(y-3)=0\iff y=-14\ \vee\ y=3\n\nx=-14+11=-3\ \vee\ x=3+11=14\n\nAnswer:-3\ and\ -14\ or\ 14\ and\ 3$

$a-b=11\n a=11+b \n ab=42 \n(11+b)*b=42 \n b^2+11b=42 \n b^2+11b-42=0 \n b^2 +14b-3b -42=0 \n b(b+14)-3(b+14)=0 \n (b+14)(b-3)=0 \n b+14=0 \ b-3=0 \nb= -14 \ b=3$ $a=11+b \n 1)a=11-14 \na=-3 \n 2)a=11+3 \n a=14$

Nth term of this sequence 5 10 15 20 25

Answers

The Nth term is 5n ie 5 times 1 is 5 : 5*2 is 10 5*3 is 15 therefore the Nth term is 5n

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