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3 years ago

The value, v, of your quarters (in cents) is a function of n, the number of quarters you have.

1 answer:

3 0

The independent variable is the one you change to get your dependent variable. in this case, the independent would be the number of quarters you have

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X^2+4x-7 what is the ordered pair

lisabon 2012 [21]

It would be y=4x-7. I hope this helped :)

6 0

3 years ago

Given no other restrictions, what are the domain and range of the following function?

balandron [24]

Domain is: D = all real numbers

and Range is: R = {y | y > 0}

Option C is correct.

Step-by-step explanation:

We are given a function $f(x) = x^2 - 2x + 1$ and we need to find domain and range of this function

Domain:

The domain of a function is the set of points for which the function is real and defined.

Since all the values give the result which is real and defined so domain is all real numbers.

Range:

The set of values of the variable that is dependent, the function should be defined.

So, all the values should be greater than 0 i.e {y | y > 0}

So, Domain is: D = all real numbers

and Range is: R = {y | y > 0}

Option C is correct.

Keywords: Domain and Range

Learn more about Domain and Range at:

#learnwithBrainly

8 0

3 years ago

How to do question 1?Had no idea how to do both parts

givi [52]

$y=\dfrac{\ln x}{3x-6}$

Differentiate both sides with respect to $x$ :

$\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{\frac{3x-6}x-3\ln x}{(3x-6)^2}$

When $x=1$ , you have

$\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{\frac{3-6}1-3\ln1}{(3-6)^2}=\dfrac{-3}9=-\dfrac13$

For part (b), we now assume that $x$ and $y$ are functions of an independent variable, which we'll call $t$ (for time). Now differentiating both sides with respect to $t$ , we have

$\dfrac{\mathrm dy}{\mathrm dt}=\dfrac{\frac{3x-6}x-3\ln x}{(3x-6)^2}\dfrac{\mathrm dx}{\mathrm dt}$

where the chain rule is used on the right side. We're told that $y$ is decreasing at a constant rate of 0.1 units/second, which translates to $\dfrac{\mathrm dy}{\mathrm dt}=-0.1$ . So when $x=1$ , you have

$-0.1=\dfrac{\frac{3-6}1-3\ln1}{(3-6)^2}\dfrac{\mathrm dx}{\mathrm dt}$
$-0.1=-\dfrac13\dfrac{\mathrm dx}{\mathrm dt}$
$\dfrac{\mathrm dx}{\mathrm dt}=0.3$

where the unit is again units/second.

6 0

3 years ago

What is 2 15/16 Ian’s a decimal?

Arada [10]

Answer:

2.9375

Step-by-step explanation:

15 divided by 16 equals .9375 so 2 15/16 is 2.9375

5 0

3 years ago

Eleanor placed some marbles in a bag for an experiment. She reaches into the bag and grabs a marble. Eleanor writes down the col

rodikova [14]

Answer:

Hi I have this same question but I'm torn between certain and very likely it is on of those options.

Step-by-step explanation:

6 0

3 years ago