Answer:
(- 3, - 6 ) , (1, 2 )
Step-by-step explanation:
2y = 4x ( divide both sides by 2 )
y = 2x → (1)
x² + y = 3 → (2)
Substitute y = 2x into (2)
x² + 2x = 3 ( subtract 3 from both sides )
x² + 2x - 3 = 0 ← in standard form
(x + 3)(x - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
x - 1 = 0 ⇒ x = 1
Substitute theses values into (2) for corresponding values of y
x = - 3 : y = 2(- 3) = - 6 ⇒ (- 3, - 6 )
x = 1 : y = 2(1) = 2 ⇒ (1, 2 )
Answer:
Only the 2 is negative. The 2nd step is incorrect.
Step-by-step explanation:
In this equation, she did the 2nd step wrong because when you use the factors of 8, -4 and -2 just get you -6, not -2. So, you would have a -4 and a positive 2.
We can re-create the quadratic equation by
(x -3) * (x -2)
x^2 -5x + 6 = 0
Answer:
y = 5x – 22
3x + 2y = 34
Step-by-step explanation:
Answer:
$7724
Step-by-step explanation:
Her estimated quarterly income is $73,040/4 = $18,260.
Her estimated tax rate is ...
27% + 12.4% + 2.9% = 42.3%
This tax rate applied to her estimated earnings gives an estimated quarterly tax of ...
$18,260 × 0.423 = $7723.98
≈ $7724 . . . . . taxes are rounded to the nearest dollar
