Answer:
(- 3, 37) and (- , )
Step-by-step explanation:
Given the 2 equations
2x² - y + 19 = 0 → (1)
y + 11x = 4 → (2) ← subtract 11x from both sides
y = 4 - 11x → (3)
Substitute y = 4 - 11x into (1)
2x² - (4 - 11x) + 19 = 0
2x² - 4 + 11x + 19 = 0
2x² + 11x + 15 = 0 ← in standard form
(2x + 5)(x + 3) = 0 ← in factored form
Equate each factor to zero and solve for x
2x + 5 = 0 ⇒ 2x = - 5 ⇒ x = -
x + 3 = 0 ⇒ x = - 3
Substitute these values into (3) for corresponding values of y
x = - : y = 4 + = ⇒ (- , )
x = - 3 : y = 4 + 33 = 37 ⇒ (- 3, 37 )
Answer:
B
Step-by-step explanation:
Answer:
8:4 simplified to 4:2 simplified to 2:1
Step-by-step explanation:
I think x should equal -2 or -3
Answer:
i. x^2 – 1
ii. x^3 – 1
iii. x^4 - 1
Step-by-step explanation:
Products are obtained by multipliyng each left term by each rigth term as follows:
i. (x- 1)(x+ 1) = (x^2 – x + x - 1) = x^2 – 1 (equal terms with opposite sign substracts and the result is 0)
ii. (x- 1)(x^2 + x + 1) = (x^3 – x^2 + x^2 – x + x – 1) = x^3 – 1
iii. (x- 1)(x³ + x² + x + 1) = (x^4 – x^3 + x^3 – x^2 + x^2 – x + x – 1) = x^4 - 1