Answer:
***
Answers may vary depending on the person reading the graph.
It is hard to tell what they think crosses nicely.
For example, I decided that the graph crossed nicely at the following points:



Step-by-step explanation:
I see that the graph crosses at
,
, and
.
The equation
tells us the
-intercept is
since when
we have
.
The
-intercept for our graph is
. Therefore,
.
So far we have the equation:
.
Let's enter the other points creating a system of linear equations to solve:


Let's simplify:


Let's subtract 3 on both sides:


I choose to solve the system by elimination.
Let's multiply the top equation by -3:


Now adding the equations results in:

Divide both sides by 24:

Now using one of the equations we can find
:
with 


Add 13/6 on both sides:



Divide both sides by 2:


So we have the equation:

Let's evaluate
now:




Answer:
The probability of it being greater than 6 is 3/4.
Step-by-step explanation:
there are 4 outcomes, and 6 is only one of them. 3 are greater than 6, so 4 out of the 4 times the number will be greater than 6.
List all the factors.
Factors of 15: 1, 3, 5, 15
Factors of 45: 1, 3, 5, 9, 15, 45
Factors of 90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
The common factors of 15, 45, and 90 are 1, 3, 5, and 15.
Answer:
S(x) = x² + 390224/x
Step-by-step explanation:
Volume of the open box = V = 97556 cm³
Material needed:
Let´s call x the side of the square base then the area of the base is
A(b) = x²
For the sides of the box, we have 4 sides each one with area of x*h
where h is the height of the box
The volume of the box V(b) = 97556 = x²*h then h = 97556/x²
S(x,h) = x² + 4*x*h*
The surface area of the box as function of x is:
S(x) = x² + 4*x*97556/x²
S(x) = x² + 390224/x
I've already been complemented twice on my previous answer, but then I discovered that I mis-read the question. My entire original answer was wrong, and I have to delete it.
I don't believe that any number can satisfy both of those conditions.
I'll say the question has no answer.