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MrMuchimi
4 years ago
12

Let y be the difference of two numbers such that one number varies directly as x while the other number varies inversely as x. I

f y = -7 when x = -2, and y = 5 when x = 1. Express y in terms of x.
Mathematics
1 answer:
Ostrovityanka [42]4 years ago
3 0

Answer:

y is 5 units greater than x

Step-by-step explanation:

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Can the function f(x) = x²-4x+4 be factored? If so, write the factored form.​
Colt1911 [192]

Answer:

f(x) = (x - 2)²

Step-by-step explanation:

f(x) = x² - 4x + 4 is a perfect trinomial.

You know a trinomial is perfect when double the square root of the first term multiplied by the square root of the last term equals the middle term.

As an equation, a trinomial in the form ax² + bx + c = 0:

2√a√c = b is a perfect trinomial.

Perfect trinomial are factored in this form:

(√a ± √c )(√a ± √c ) = (√a ± √c )²

Whether the sign is + or - depends on if the middle term is positive or negative.

In f(x) = x²-4x+4, the middle term is a negative.

The square root of the first term is 1.

The square root of the second term is 2.

The factored form is (x - 2)²

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