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Arada [10]
4 years ago
8

Rewrite the quadratic function in intercept or factored form f(n)=-35-2n+n^2

Mathematics
1 answer:
gtnhenbr [62]4 years ago
8 0

Answer: f(n)=(n-7)(n+5)


Step-by-step explanation:

1. You can rewrite the quadratic equation as following:

f(n)=n^{2}-2n-35

2. To factor it, you must find two number that when you add them you obtain -2 and when you multiply them you obtain -35. These would be 5 and -7.

3. Therefore, you can write the function in the following intercept form:

f(n)=(n-7)(n+5)


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Since 45y is in both equations we can more easily transfer from first equation to 2nd equation.

In the first equation, subtract 37x from each side and you have 45y = 7940 - 37x. Replace the 45y in the second equation with (7940 - 37x).

Now you have 75x + (7940 - 37x) = 10,410

Simplify by combining 75x - 37x and you have 38x + 7940 = 10,410

Subtract 7940 from both sides and you have 38x = 2470.

Divide both sides by 38 and you have x = 65

To solve for y, take you first equation (or even the second one) and substitute c for 65.

(37 x 65) + 45y = 7940
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Subtract 2405 from each side.

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3 years ago
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Step-by-step explanation:

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y=45x+25

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