Question 1
The given system of equations is:

Equate the two equations:

Rewrite in standard form:




When we put x=0, in y=3x +6, we get:

One solution is (0,6)
When we put x=-2, into y=3x+6, we get:

Another solution is (-2,0)
The solutions are; (0,6) and (-2,0)
Question 2:
The function is

Let us put x=-x,

This gives:

We can observe that:

This is the property of an even function.
Question 3:
The given function is

The average rate of change of f(x) from x=a to x=b is given as:

This is the slope of the secant line connecting the two points on f(x)
From x=2 to x=6, the average rate of change

The average rate of change is 11
Answer:
Step-by-step explanation:
Your total income from gambling: $75
Your total expenses related to gambling: $140
Which answer is correct?
Ol won $
OI lost $ 65
Answer:
-1 and -5
Step-by-step explanation:
You must account for negative u values (which the abs nullifies).
So
and
is what we have to solve for.
As for usual equations, isolate the u variable.
5u + 15 = 10
5u + 15 (-15) = 10 (-15)
5u = -5

u = -1
Now you can do the same operation for the other equation and you should get u = -5.
Let's make sure we did it right by replacing u with one of our solutions (-1 or -5).

That's true. What about the other one?

Answer:
in first use the take B as a reference point then 12 will be our perpendicular and c as 90 degree represent the opposite as hypotenuse means 13 will be hypotenuse nd base will be 5.At last use Pythagoras theorem,...