(x - 2)(x + 3) = 0
This implies:
x - 2 = 0 or x + 3 = 0
x = 2 or x = -3
Converting all to decimals:
7:9 = 0.777
2:3 = 0.666
5:6 = 0.833
3:4 = 0.75
Correction: Correct answer: 5:6
Combined rate = 1/6; first pipe rate = 1/10.
Second pipe rate = 1/6 - 1/10 = 1/15.
So, the second pipe alone fills in 15 hours.
If AB = BA, it means the matrices commute under multiplication.
So, they are called multiplicative commutative (or simply commutative) matrices.
Given 12 = PQ, we can write P = 12/Q.
For proportion:
4 : Q = P : 3
4/ Q = P / 3
4 × 3 = P × Q
12 = PQ
This matches the given equation.
The answer is 4 : q = p : 3.
a + b = 2 ... (1)
a - b = 2 ... (2)
Adding (1) and (2):
2a = 4
a = 2
Put a = 2 in (1):
2 + b = 2
b = 0
Now, a² + b² = (2)² + (0)² = 4 + 0 = 4.
High temperatures:
Monday = 75°F
Tuesday = 82°F
Wednesday = 78°F
Thursday = 84°F
Friday = 81°F
Total = 75 + 82 + 78 + 84 + 81 = 400°F
Mean = Total ÷ Number of days = 400 ÷ 5 = 80°F
To solve (+8) ÷ (-2):
(+8) ÷ (-2) = -4
When dividing a positive number by a negative number, the result is negative.
Divide 4 ÷ 18 = 0.222..., which is a recurring decimal.
It can also be written as 0.overline{2} indicating the digit 2 repeats.
