Step-by-step explanation:
9x² + 6 = 12x
3x² + 2 = 4x
3x² − 4x + 2 = 0
Use quadratic formula.
x = [ -b ± √(b² − 4ac) ] / 2a
x = [ -(-4) ± √((-4)² − 4(3)(2)) ] / 2(3)
x = [ 4 ± √(16 − 24) ] / 6
x = [ 4 ± √(-8) ] / 6
x = (4 ± 2i√2) / 6
x = (2 ± i√2) / 3
Answer: 5 packages of invitations and 6 packages of stamps.
Step-by-step:
$14.58
-$0.17
$14.41
÷6
2.4016666667
$2.40 per cone (rounded by cent)
Answer:
The remainder is 101.
Step-by-step explanation:
We are dividing:

By the Polynomial Remainder Theorem, if we are dividing a polynomial P(x) by a binomial in the form (x - a), the our remainder will be P(a).
The divisor is (x + 1). Therefore, our a = -1.
Then the remainder will be:

We can rewrite our polynomial as:

Each of the parentheses contain fifty terms. -1 to any odd power is -1, and -1 to any even power is 1. Therefore:

Evaluate:

The remainder is 101.