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2 years ago

14

Which of the relations given by the following sets of ordered pairs is a function?

1 answer:

exis [7]2 years ago

4 0

Answer:

Option (4)

Step-by-step explanation:

Each value of x maps onto only one value of y, so it is a function.

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1. Kim's age is twice that of her sister. When you add Kim's age to her sister's age, you get 36. How old is each sister?

fgiga [73]

Hmm, this is a tricky one. I'll do my best, though.

Well, we know that __ + __ = 36 and that one of the 2 numbers is double the other. We'll use x to be one number, and we'll use 2x to be double the number (because when you double x, you'll have 2x). And we know that we add them, right?
x + 2x = 36. Now this is making sense! Just solve it!

x+2x=36
3x=36
x=12 But don't forget, that's only the age of the younger sister. The older sister is double the age of x, or 12. What is 12 doubled? 24.

<em>The age of the two sisters is</em><em> 12 </em><em>&</em><em> 24</em><em>.</em>
<em>
</em><em>Don't forget to rate this answer as the Brainliest!</em>

5 0

4 years ago

Please find the derivative of <img src="https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Be%5E%7B%5Cfrac%7B3%7D%7Bx%7D%7D%7D%7

sesenic [268]

Hello! :)

$\large\boxed{\frac{-e^{\frac{3}{x}} (3 + 2x )}{x^{4}}}$

Find the derivative using the quotient rule:

$\frac{f(x)}{g(x)} = \frac{g(x) * f'(x) - f(x) * g'(x)}{(g(x))^{2}}$

In this instance:

$f(x) = e^{\frac{3}{x} }\\\\g(x) = x^{2}$

Use the following properties to find the derivative of f(x) and g(x):

$e^{u} = u' * e^{u}\\\\x^{n} = nx^{n-1}$

Use the quotient rule:

$\frac{x^{2} * (e^{\frac{3}{x}} * (-3x^{-2})) - e^{\frac{3}{x}} * 2x }{(x^{2} )^{2}}$

Simplify the numerator:

$\frac{(e^{\frac{3}{x}} * (-3)) - e^{\frac{3}{x}} * 2x }{(x^{2} )^{2}}$

Factor out $e^{\frac{3}{x}}$

$\frac{e^{\frac{3}{x}} (-3 - 2x )}{x^{4}}$

Factor out -1 from the numerator:

$\frac{-e^{\frac{3}{x}} (3 + 2x )}{x^{4}}$

And we're done! Thanks for posting the question to my 1000th answer!

7 0

3 years ago

Read 2 more answers

Find the rule and the graph of the function whose graph can be obtained by performing the translation 3 units left and 2 units d

ahrayia [7]

Answer: Option b.

Step-by-step explanation:

1. You have the following parent function given in the problem above:

f(x)=x³ (This is the simplest form. We need to translate it 3 units left and 2 units down)

2. If you take the parent function and make y=f(x+3), then you have:

$y=f(x+3)=(x+3)^{3}$ (The function is shifted 3 units left on the x-axis).

3. Then you if you make y=f(x+3)-2, as following, you obtain:

$y=f(x+3)-2=(x+3)^{3}-2$ (The function is shifted 2 units down on the y-axis).

4. Therefore, that is how you obtain the final function.

The answer is the graph shown in the option b.

5 0

3 years ago

Can someone <br> Help<br> ASAP

Snowcat [4.5K]

Answer:

option no.B - 3+ x <7

Step-by-step explanation:

hope it helps you

4 0

3 years ago

S2 Alg I Unit 3B Common Unit Assessment (MC&CR) / 5 of 11

spin [16.1K]

It is beans and Obama 3+8 and u have to simplify for negative

7 0

3 years ago