3/5=24/x. cross multiply, you get 120=3x. divide by 3, x = **40**
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:
<u>Factored form of a quadratic function</u>

where:
- p and q are the x-intercepts
- a is some constant
Given x-intercepts:
Therefore:


To find a, substitute the given vertex (2, -8) into the equation and solve for a:



Therefore, the function's equation in factored form is:

<u>Vertex form of a quadratic equation</u>
<u />
where:
- (h, k) is the vertex
- a is some constant
Given:
Therefore:

To find the constant a, substitute one of the x-intercepts into the equation and solve for a:



Therefore, the function's equation in vertex form is:

Answer:
not 100% but I think it's Step 1
Step-by-step explanation:
Nope! 23 is a natural number and all natural numbers are rational numbers