First square both sides to get:
c + 22 = (c + 2)^2
or
c + 22 = c^2 + 4c + 4
Move the terms on the left side to the right side:
c^2 + 3c - 18 = 0
Factor to get:
(c + 6) * (c - 3) = 0.
The solutions are c = -6 and c = 3.
Check to see if these answers work by plugging them into the original equation:
c = -6:
sqrt (-6 + 22) ?= -6 + 2
But, -6 + 2 is a negative number, and you can't get a negative from a square root. So, -6 is extraneous.
c = 3:
sqrt (3 + 22) ?= 3 + 2
5 = 5. So, 3 works.
The answer is: B
Answer:
their current cash flow is negative since their expenses are higher than their income:
- monthly net income = $56,000 / 12 = $4,667
- monthly expenses = $1,500 + $3,500 = $5,000
- monthly cash flow = ($333)
they have 3 options:
- Option 1 (which I personally dislike) is that Neil contributes $4,000 less per year to his retirement account in order to balance their net income and expenses. The problem is that once he retires, his income will be much lower.
- Option 2 is that they lower their expenses a little bit, only enough to balance their cash flows.
- Option 3 is that Nancy gets a part time job, maybe a couple of hours per day which will allow her to earn money that can be used to cover some expenses.
Personally I believe that option 2 is the best, but if they definitely cannot lower their monthly expenses, then option 3 would probably fit them.
The first function is represented by the green line, while the second is represented by the orange line
<h3>What are piecewise functions?</h3>
Piecewise functions are functions that have at least 2 sub functions, each of which have different intervals
The function is defined by
<h3>(a) Graph the first function</h3>
The first function in f(x) is defined by
See attachment for the graph of the first function
<h3>(b) Graph the second function</h3>
The second function in f(x) is defined by
See attachment for the graph of the second function
Read more about piecewise functions at:
brainly.com/question/18859540
