<h2>
✅</h2>
Step-by-step explanation:
Answer:
(4, 2 ) and (2, 4 )
Step-by-step explanation:
xy = 8 → (1)
y = - x + 6 → (2)
substitute y = - x + 6 into (1)
x(- x + 6) = 8
- x² + 6x = 8 ( subtract 8 from both sides )
- x² + 6x - 8 = 0 ( multiply through by - 1 )
x² - 6x + 8 = 0 ← in standard form
(x - 4)(x - 2) = 0 ← in factored form
equate each factor to zero and solve for x
x - 4 = 0 ⇒ x = 4
x - 2 = 0 ⇒ x = 2
substitute these values into (2) for corresponding values of y
x = 4 : y = - 4 + 6 = 2 ⇒ (4, 2 )
x = 2 : y = - 2 + 6 = 4 ⇒ (2, 4 )
There are 32,500 mg of acetaminophen in one bottle. If you divide the 650mg by 2 to get 325mg for one tablet. You can then multiply that by 100 to get your answer.
Answer:
The correct answer is:
x ≤ 14 (b)
Step-by-step explanation:
first of all, let us find the other side of the rectangle using the limit of 46 as the highest perimeter:
Perimeter of a rectangle = 2(Length) + 2(width)
Let the length = x inches
let the width = 9 inches
Perimeter = 2x + 2(9)
46 = 2x + 18
2x = 46 - 18
2x = 28
x = 28 ÷ 2
x = 14
Therefore, for the perimeter to be equal to 46 inches, the other side of the rectangle must be equal to 14 inches. Hence, for the perimeter to be at most 46 inches ( 46 inches or less):
x is less than or equal to 14 (x ≤ 14)
