Answer:
(0, 1 ) and (
, )
Step-by-step explanation:
Given the 2 equations
x³ - xy = 0 → (1)
x + y = 1 → (2) ( subtract x from both sides )
y = 1 - x → (3)
Substitute y = 1 - x into (1)
x² - x(1 - x) = 0
x² - x + x² = 0
2x² - x = 0 ← factor out x from each term on the left side
x(2x - 1) = 0
Equate each factor to zero and solve for x
x = 0
2x - 1 = 0 ⇒ 2x = 1 ⇒ x =
Substitute these values into (3) for corresponding values of y
x = 0 : y = 1 - 0 = 1 ⇒ (0, 1 )
x = : y = 1 - = ⇒ ( , )
If x= -1
so.
2(-1)^2-5 / (-1 +9)
=-3/8
=-0.375
Answer:
Step-by-step explanation:
Area A = 15square cm
Length L = x
Width w = x - 2
Area = L × w
15 = x(x - 2)
15 = x^2 -2x
x^2 -2x - 15 = 0
Solving by factorization
x^2 - 5x + 3x - 15 = 0
(x^2 -5x) + (3x -15) = 0
x(x - 5) + 3(x - 5) = 0
(x + 3)(x - 5) = 0
(x + 3) = 0 or (x - 5) = 0
x = -3 or 5
Since x can't be negative therefore x is 5cm
Length = 5cm
Width = 5-2 = 3cm
Answer: yes, 4/3 can be simplified
Step-by-step explanation:
Since it is an improper fraction, it can be simplified.
three goes into four once, And there is a remainder of one. so the new fraction is: 1 1/3
5 is not a divisor of any of the dimensions of the given box, so selections A, C, D can't work.
Each of the dimensions of selection B is a divisor of a different dimension of the box, so ...
.. the correct choice is selection B) 7 × 9 × 12.
