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3 years ago

How do I know how to determine whether a relation is a function? What is a function?

2 answers:

8 0

It’s a function is every single input has their own output. for example, if there were 2 -3’a on the input side, the relation wouldn’t be a function because each input has to have their OWN output, and can’t share outputs.

scoundrel [369]3 years ago

5 0

Answer:

all are functions

Step-by-step explanation:

a function is when each x has a y

a relation is when 1 x has more than 1 y which makes it invalid therefore not a function

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I have 31 stamps in total. I have 4 more 1 cent stamps than 8 cent stamps and twice as many one cent stamps as 12 cent stamps. I

Neko [114]

Answer:

There area 14 one cent stamps

Step-by-step explanation:

Let

x -----> the number of 1 cent stamps

y -----> the number of 8 cent stamps

z -----> the number of 12 cent stamps

we know that

0.01x+0.08y+0.12z=1.78 -------> equation A

x=y+4 ------> y=x-4 -----> equation B

x=2z -----> z=0.5x ------> equation C

substitute equation B and equation C in equation A and solve for x

0.01x+0.08(x-4)+0.12(0.5x)=1.78

0.01x+0.08x-0.32+0.06x=1.78

0.15x=1.78 +0.32

0.15x=2.10

x=14

therefore

There area 14 one cent stamps

6 0

3 years ago

Given f(x)=arctan(2x), find f’(x) in simplest form

Lostsunrise [7]

Answer:

Step-by-step explanation:

$f(x)=tan^{-1} 2x\\let f(x)=y\\y=tan^{-1}2x\\tan y=2x\\diff. w.r.t.x\\sec^2y(\frac{dy}{dx} )=2\\\frac{dy}{dx} =\frac{2}{sec^2 y} =\frac{2}{1+tan^2y} =\frac{2}{1+(2x)^2} \\f'(x)=\frac{2}{1+4x^2}$

7 0

3 years ago

What is the difference 4 1/3 - (-2/3)

rodikova [14]

Answer:

Step-by-step explanation:

2 negatives always equal a positive.

We have to convert 4 1/3 into a improper fraction which is 13/3. Since we know 2 negatives equal a positive, we add both fractions. 13/3 + 2/3 ewuals 15/3 which equals 5.

6 0

3 years ago

200,000 divided by 2000 can be simplified and solved as follows

vladimir2022 [97]

It can be simplified to 200 divided by 2.

4 0

4 years ago

Look at the picture.

Snowcat [4.5K]

The answer is (-7,9)

6 0

3 years ago