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3 years ago

Identify whether each set of ordered pairs is a function or is not a function. Function Not a Function

Mathematics

1 answer:

Anna35 [415]3 years ago

7 0

Answer:

1. Function

2. Function

3. Function

4. Not a Function

5. Not a Function

Step-by-step explanation:

Hope it helps:)

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The value of

marusya05 [52]

$\large\underline{\sf{Solution-}}$

We have to find out the value of the fraction.

Let us assume that:

$\sf \longmapsto x =2 + \dfrac{1}{2 + \dfrac{1}{2 + \dfrac{1}{2 + ... \infty} } }$

We can also write it as:

$\sf \longmapsto x =2 + \dfrac{1}{x}$

$\sf \longmapsto x =\dfrac{2x + 1}{x}$

$\sf \longmapsto {x}^{2} =2x + 1$

$\sf \longmapsto {x}^{2} - 2x - 1 = 0$

Comparing the given equation with ax² + bx + c = 0, we get:

$\sf \longmapsto\begin{cases} \sf a =1 \\ \sf b = - 2 \\ \sf c = - 1 \end{cases}$

By quadratic formula:

$\sf \longmapsto x = \dfrac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a}$

$\sf \longmapsto x = \dfrac{2 \pm \sqrt{ {( - 2)}^{2} - 4(1)( - 1)} }{2 \times 1}$

$\sf \longmapsto x = \dfrac{2 \pm \sqrt{4 + 4} }{2 \times 1}$

$\sf \longmapsto x = \dfrac{2 \pm \sqrt{8} }{2}$

$\sf \longmapsto x = \dfrac{2 \pm2 \sqrt{2} }{2}$

$\sf \longmapsto x = 1 \pm\sqrt{2}$

$\sf \longmapsto x = \begin{cases} \sf 1 + \sqrt{2} \\ \sf 1 - \sqrt{2} \end{cases}$

But "x" cannot be negative. Therefore:

$\sf :\implies x = 1 + \sqrt{2}$

So, the value of the fraction is 1 + √2.

4 0

2 years ago

Drew replaces the light bulb in the hall closet every 9 months and replaces the air filter every 6 months. He just replaced both

natita [175]

The 18th month he will have to change both,
I hope this helped!

4 0

3 years ago

Read 2 more answers

What is the equation of the line that passes through the points (-9,-6) and (-9, -8)?

andrey2020 [161]

Answer:

x=-9

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-8-(-6))/(-9-(-9))

m=(-8+6)/(-9+9)

m=-2/0

undefined

x=-9

7 0

3 years ago

NEED HELP ASAP PLEASE!!!!!!!!!!!!!!!!!!

Gnoma [55]

Answer:C

Step-by-step explanation:

5 0

3 years ago

You want to get another change every 4000 miles how many oil change do you get in a year driving 1000 miles a month

vekshin1

1000 miles a month
12 months in a year
so 12,000 miles
divided by 4,000
simple... 3 ;)

3 0

3 years ago