<h2>(1, 4)</h2><h2 />
To solve this system by addition, notice that if we add these two equations together, neither one of our variables will cancel out.
In this situation, we need to set things up so that when we do add our two equations together, one of the variables will cancel out.
Notice that we have a 10x in our second equation. if we had a -10x in our first equation, then the x's would cancel out.
To create a -10x, we can multiply the top equation by -2 to get a -10x.
From there, rewriting our equation gives us -10x - 2y = -18.
Now the x's cancel. Just add the equations together
now to get the two-step equation -9y = -36.
Solving from here, <em>y = 4</em>.
Now plug y into either one of the equations
to find that x =1.
So our solution is (1,4).
<h2>
Explanation:</h2>
We have the function:
The vertical asymptote can be found when the denominator equal zero, therefore:
So the vertical asymptote occur at 
<u>Answer</u>
x ≥ -2
<u>Explanation</u>
The inequalities are solve the same way as algebra. This would be solve as follows.
-2x-1≤5
-2x≤5+1
-2x≤4
Divide both sides of the inequality by -2. This will change the sign from ≤ to ≥.
(-2x)/(-2) ≤ 4/(-2)
x ≥ -2
Answer:
a) Avg rate of change = 4 pounds per week
b) 160 pounds
Step-by-step explanation:
a)
The average rate of change is also called the slope. It is advertised that a person can loose 4 pounds in a week in the program. So, the average rate of change is 4 pounds per week.
Avg rate of change = 4 pounds per week
b)
In 5 weeks, a person can loose:
4 * 5 = 20 pounds (in 5 weeks)
Initially the person weighed 180 pounds, now after the program, he lost 20 pounds, so his weight will be:
180 - 20 = <u>160 pounds</u>
