Answer & Step-by-step explanation:
The domain is the input, and the range is the output.
The domain is also known as the x values and the output as the y values (x,y).
So:
<em>domain: {4, -1, 0, 2}</em>
<em>range: {-4, 3, 5, 8}</em>
:Done
Answer:
One possible answer is:
f(x) = (2/x) + 3 and g(x) = x².
Step-by-step explanation:
Explanation:
We are to write this equation as y = f(g(x)). This means we want it to be a composite of functions; in f(x), we take the value of g(x) and use in place of x.
If we let g(x) = x², this means everywhere we see an x in f(x), we will replace it with x². To make our equation y = 2/x² + 3, working backward we would substitute x for x²; this would give us f(x) = 2/x + 3.
Answer:
B. y = 1/3x
Step-by-step explanation:
The slope of the given line is -3, so the slope of the perpendicular line will be the negative reciprocal of that: -1/(-3) = 1/3. This eliminates choices A and C.
We can find the y-intercept (b) if we use the given point values in the equation ...
y = 1/3x +b
we get ...
-2 = (1/3)(-6) +b
-2 = -2 +b . . . simplify
0 = b . . . . . . . add 2
So, the equation of the perpendicular line through the given point is ...
y = 1/3x . . . . matches choice B
_____
<em>Alternate solution method</em>
You can try the given point in the given equations. You will find that only the equation of choice B will work.
<h2>Hello!</h2>
The answer is:
The first measurement of volume is equal to 835.23 mL.
<h2>Why?</h2>
Boyle's Law equation can be used when the temperature is kept constant, and it establishes a relation between the pressure and volume, showing that when an ideal gas is kept constant, the pressure and volume are inversely proportional.
So, we Boyle's Law equation states that:
Where,
Now, if we are looking for the first volume measurement, we need to rewrite the equation as follow:
So, substituting the given information and calculating, we have:
Hence, the first measurement of volume is equal 835.23 mL.
Have a nice day!
So you want to know how many times
fits inside
, if so, here's the answer:
First we see that
is equal to <span>4,000,000, and</span>
is equal to 10,000.
Then we divide
, and we get 400, so.
The answer is 400.
Hope this helped! c:
