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3 years ago

Determine which of the following equations define a function. For those that do not,

Mathematics

1 answer:

shtirl [24]3 years ago

6 0

X + 3 = 0 is not a function because it is a vertical line.

A vertical line has undefined slope because all points the line have the same x-coordinate.

A function is a relation in which no two ordered pairs have the same first component (x-values or input) and different second components (y-values or output).

Remember that a function can only take on one output for each input. Since a vertical line has the same x-coordinates for all values of y-coordinates, then it means that it is not a function.

Please mark my answers as the Brainliest if you find this explanation helpful :)

You might be interested in

Using index notation , express the following number as products of their prime factors . (1) 45 (2) 80 (3) 420 (4) 625 (5) 81

Usimov [2.4K]

3²×5, 2⁴×5, 2²×3×5×7, 5⁴ and 3⁴ are the index notations of the numbers 45, 80, 420, 625 and 81 respectively. This can be obtained by taking the factors of these numbers and wring as the powers as shown below.

<h3>What is index notation?</h3>

It is a method of representing numbers and variables that are multiplied by themselves a number of times.

For example, 7³, a²

<h3>What are the index notations of the given numbers?</h3>

The given numbers can be represented as the following:

(1) 45 =3×3×5 = 3²×5

(2) 80 =2×2×2×2×5 = 2⁴×5

(3) 420 =2×2×3×5×7 = 2²×3×5×7

(4) 625 =5×5×5×5 = 5⁴

(5) 81 =3×3×3×3 = 3⁴

Hence 3²×5, 2⁴×5, 2²×3×5×7, 5⁴ and 3⁴ are the index notations of the numbers 45, 80, 420, 625 and 81 respectively.

Learn more about index notation here:

brainly.com/question/13157393

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4 0

2 years ago

4d^-3 multiplyed by d^18

Verdich [7]

4*d^(-3)*d^18 = 4*d^(18-3) = 4*d^(15). The trick here is to combine the exponents.

Another way to write this problem would be:

4*d^18
---------- . Here d^18 divided by d^3 results in d^15, so again the final
d^3 answer is 4*d^15.

6 0

3 years ago

The point (6, y) is the same distance from (4,1) as it is from the x-axis. What is the

Otrada [13]

The answer is 3 I think :)

6 0

3 years ago

Y = -8x – 30 y = 2x + 150

Sophie [7]

Step-by-step explanation:

y - y = 2x + 150 -( - 8x - 30 )

0 = 2 x + 150 + 8 x + 30

0.= 10x + 180

- 180 = 10 x

-180/10 = x

-18 = x

then y = 2 (-18) + 150

y = -36 + 150

y = 114

plz mark my answer as brainlist plzzzz.hope this will be helpful to you.

5 0

3 years ago

How many different 5-digit PIN codes are there that only include the digits 3, 4, 5, 6, 7, 8 and 9 if each of those digits is on

kipiarov [429]

Answer:

the number of ways to form a 5 digit pin using the given digits is 720

Step-by-step explanation:

6 0

3 years ago