Answer:
436 items
Step-by-step explanation:
When a quantity A is inversely proportional to another quantity B, we can write:
Where k is the proportionality constant [that we need to find]
For this problem, we can write the ratio as:
Now given N = 480 and C = 4.90, we first find k:
Now, as second step, we need this time to find N, when
C = 5.40
Note, we know know k = 2352, so we find N:
Rounding to next whole number, we have 436 items
Answer:
The standard form of the quadratic equation is x² + 3·x - 4 = 0
Step-by-step explanation:
The standard form of a quadratic equation is a·x² + b·x + c = 0
Given that the expression of the quadratic equation is (x + 4)·(x - 1) = y, we can write the given expression in standard form by expanding, and equating the result to zero as follows;
(x + 4)·(x - 1) = x² - x + 4·x - 4 = x² + 3·x - 4 = 0
The standard form of the quadratic equation is x² + 3·x - 4 = 0
The graph of the equation created with MS Excel is attached
