Answer:
See below
Step-by-step explanation:
The Fundamental Theorem of Algebra states that the degree of the polynomial is the number of roots, where some may be complex depending on the polynomial or degree.
In this case, 2x^2-x+2=0 has its highest degree of 2, so there are 2 roots.
6x + 3y =21
6x + 3y - 21 = 0
3 (2x + y - 7) = 0
if you need to simplify it, ^ that would be my answer :)
Answer:
$500=$4c × $3p
because $4 each is 4 times c. and the same for the popcorn
1) If the hats cost $12.50 each and the materials cost $5.50, then the fashion designer makes ($12.50 - $5.50 =) $7 per hat. So, to work out how many hats you must make, you need to divide how much you spend on advertising by how much you make per hat so, $1,400 ÷ $7 = 200 hats.
$12.50 - $5.50 = $7
$1,400 ÷ $7 = 200 hats
and your variable and equation is:
y = number of hats needed to sell
advertising = earnings of 1 hat x number of hats
1,400 = 7y
1,400÷7 = y
200 = y
∴ The fashion designer must make and sell 200 hats to break even and get back her $1,400 spent on advertising.
2) So, you do the same on this one as well. If he makes $2 per book, and binding and packaging cost $0.80, then you need to $2 - $0.80 to find how much each book will make you, the answer is $1.20 per book. Then you need to $864 ÷ $1.20 which equals 720 books.
$2 - $0.80 = $1.20
$864 ÷ $1.20 = 720 books.
and your variable and equation would be:
y = unknown number of books needed to sell
initial costs = earnings of 1 book x number of books
864 = 1.20y
864 ÷ 1.20 = y
720 = y
∴ The puzzle expert must sell 720 books to break even and earn back his initial costs of $864.
** I hope that's what you meant (putting it in an algebraic equation) and I hope is correct **
The answer is 1386 when estimated it's 120 and 120 times 10 is 1,200