Answer:
Reduction
Step-by-step explanation:
Answer:40,503
14,256 was the money that got taken away and 26,247 is how much she had left so in total if you add you’ll get 40,503.
X + y = 5
xy = 12
x + y = 5
y = -x + 5
xy = 12
x(-x + 5) = 12
x(-x) + x(5) = 12
-x² + 5x = 12
- 12 - 12
-x² + 5x - 12 = 0
x² - 5x + 12 = 0
x = 5 ± √25 - 48
2
x = -5 ± √-23
2
x = -5 ± 4.79i
2
x = -5 + 4.79i or x = -5 - 4.79i
2 2
x = -2.5 + 2.395i or x = -2.5 - 2.395i
y = -2.5 - 2.395i or y = -2.5 + 2.395i
The two numbers that add up to 5 and multiply to 12 is -2.5 ± 2.395i, which is -2.5 + 2.395i and -2.5 - 2.395i.
Answer:
x=60
Step-by-step explanation:
61+59=120
180-120=60
Answer:
range: {y: y ≥ 0} ⇒ h(x)
decreasing over(-∞ , 1) ⇒ h(x)
increasing over (-∞ , 0) ⇒ g(x)
range: {y: y ≤ 1} ⇒ g(x)
increasing over (1 , ∞) ⇒ h(x)
decreasing over(0 , ∞) ⇒ g(x)
Step-by-step explanation:
∵ h(x) = (x - 1)²
∴ Its vertex is (1 , 0)
∴ The parabola is opened upward
∴ The range: {y: y ≥ 0}
∴ It's decreasing over (-∞ , 1)
∴ It's increasing over (1 , ∞)
∵ g(x) = -(x - 1)(x + 1) = -(x² - 1) = -x² + 1
∴ Its vertex is (0 , 1)
∴ The parabola is opened downward
∴ The range: {y: y ≤ 1}
∴ It's increasing over (-∞ , 0)
∴ It's decreasing over (0 , ∞)
