Substituting y=6x+2 into equation 3y - 18x =12 looks like:
3(6x + 2) - 18x = 12
18x + 6 - 18x = 12 distributive property left side
6 = 12 simplifying the left side
We now see a contradiction: 6 does not equal 12 What this tells us is that there is no solutions to this equation. So choice 'C' ...
Answer: 4 pancakes
Step-by-step explanation: because 30min÷6pancakes=5
So, 20min÷5=4
V (-1,-9)
Y=1(x+1)^2-9
If you’re talking about the value of x in the quadratic equation then it is x=-4 &x=2
Part A
Fraction of peach 2/5
Total = 200
number of students that pick peach as their favorite fruits
Part B
number of students that pick orange as their favorite fruits
number of students that pick plum as their favorite fruits
There are 55 more students that chose orange rather than plum.
This generates the recurrence relation
Because you have
it follows that
for all
.
For
, you have
so that, in general, for
,
, you have
Now, for
, you have
and so on, with a general pattern for
,
, of
Putting everything together, we arrive at the solution
To show this solution is sufficient, I've attached is a plot of the solution taking
and
, with
. (I was hoping to be able to attach an animation that shows the series solution (orange) converging rapidly to the exact solution (blue), but no such luck.)