Answer:
B
Step-by-step explanation:
Given the 2 equations
x³ + y = 0 → (1)
11x² - y = 0 → (2)
Add (1) and (2) term by term to eliminate the term in y
x³ + 11x² = 0 ← factor out x² from each term
x²(x + 11) = 0
Equate each factor to zero and solve for x
x² = 0 ⇒ x = 0
x + 11 = 0 ⇒ x = - 11
Substitute these values into (1) for corresponding values of y
(1) y = - x³
x = 0 ⇒ y = 0 ⇒ (0, 0) is a solution
x = - 11 ⇒ y = - (- 11)³ = 1331 ⇒ (- 11, 1331) is a solution
Answer:
a
Step-by-step explanation:
9514 1404 393
Answer:
(2x +y)(2x -y +6)
Step-by-step explanation:
The shaded area is the difference of the areas of the outer square and the inner square. In turn, those areas are the square of the edge dimension of the square. So, the shaded area is the difference of squares:
area = (2x +3)² -(y -3)²
The difference of squares is a "special product" in that it has a factored form that is worth remembering.
a² -b² = (a -b)(a +b)
Using this form for our area, we have ...
area = ((2x +3) -(y -3))((2x +3) +(y -3))
area = (2x -y +6)(2x +y)
Answer:
g(x) = 3. 2^x + 2.
Step-by-step explanation:
The graph of g(x) = graph of f(x) translated upwards by 5 units so:
g(x) = 3.2^x - 3 + 5
So g(x) = 3. 2^x + 2.
Answer: the answer is d
Step-by-step explanation:
