Answer:
n = 20
Step-by-step explanation:

Cross multiplication would result in:
16 * n = 8 * 40
16n = 320
n = 320 / 16
n = 20
Therefore <u>the value of "n" in this proportion is 20.</u>
Hope this helps!
Answer:
the third one!
Step-by-step explanation:
To find f(g(x)), plug g(x) into f(x) and simplify.
f(x/2) = 2 - 1/(x/2)
All you have to do is simplify the right side of the equation.
Take it from here.
We are given coordinates of a continuous function f(x)
(–2, 0)
(0, –2)
(2, –1)
(4, 0).
We need to find the possible turning point for the continuous function.
<u>Note: Turning point is a point on the graph where slope of the curve changes from negative to positive or positive to negative.</u>
<em>A turning point is always lowest or highest point of the curve (where bump of the graph seen).</em>
For the given coordinates we can see that (–2, 0) and (4, 0) coordinates are in a same line, that is on the x-axis.
But the coordinate (0, –2) is the lowest point on the graph.
Therefore, (0, –2) is the turning point for the continuous function given.
Looking at the problem, you can come up with an equation for the consecutive numbers.

If we expand the second term:

Combine like terms:

You can reduce this by dividing both sides of the equation by two:

And we transpose 170 to get a standard quadratic form that the right side will be zero:

Then factor the left side:

Find out the values of x that makes each factor = 0
x + 14 = 0
x = -14
We can eliminate the negative symbol because the problem is asking for positive even integers.
and;
x - 12 = 0
x = 12
Now we can say that the first positive integer is 12 and the second one is 14