Answer:
This is an inverse variation, and the constant of variation is k = 2.
Step-by-step explanation:
Direct variation is something like:
y = k*x
Where k is the constant of variation.
So as x increases also increases y.
Inverse variation is something like:
y = k/x
k is the constant of variation.
In this case, if x increases, y decreases.
Now let's look at the equation:
-10 + 15*x*y = 20
Let's isolate y in one side of the equation:
15*x*y = 20 + 10 = 30
15*x*y = 30
y = 30/(15*x) = (30/15)/x = 2/x
y = 2/x
Then we can conclude that this is an inverse variation, with a constant of variation equal to 2.
Answer:
Step-by-step explanation:
- x^2+8x-7<0
- x^2 + 8x + 16 - 23 < 0
- (x + 4)^2 < 23
- |x + 4| < √23 ≈ 4.8
1 .
2.
<u>Combination of the two intervals:</u>
240 = 16x is about an equation but you can make it more complicated by adding unneeded parts for example 240 = 16x - 81 + ((15x) + 15) - (x^2 / 2) - 45 - 1.5.