They need to sell 5 pieces to cover their expenditures (have a profit of zero).
<h3>
How many cakes will they have sold?</h3>
We know that the costs are:
- $30 for the booth at the fair.
- $2 for each piece of cake they sell.
And the revenue is:
- $8 for each piece of cake.
So, the profit (the difference between the revenue and the cost) for selling x pieces is:
p(x) = $8*x - $2*x - $30
p(x) = $6*x - $30
We want to find the value of x such that p(x) = 0, then:
0 = $6*x - $30
x = $30/$6 = 5
They need to sell 5 pieces to cover their expenditures (have a profit of zero).
If you want to learn more about profit:
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Answer: Review terms, factors, and coefficients, and try some practice problems. ... Terms. Terms are single numbers, variables, or the product of a number and variable. ... What is a variable? Terms ... So in the expression: 12x+ 19y -1, is the constant -1 or 1? ... In the term "4x", 4 would be the coefficient in the algebraic expression.
23/6 as a mixed number equals 3 5/6
24/4 → 4 goes into 24 6 times so the answer is 6
3 = -(-y + 6)
First, simplify brackets. / Your problem should look like: 3 = y - 6
Second, add 6 to both sides. / Your problem should look like: 3 + 6 = y
Third, simplify 3 + 6 to 9. / Your problem should look like: 9 = y
Fourth, switch sides. / Your problem should look like: y = 9
The answer is D) 9.
Check the picture below.
notice the solid circle at -4 and 3, since it includes those points.
also notice the dashed line, though the lines keeps on going those ways, is not included in the piece-wise, since it's not part fo the domain or constraints.
