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salantis [7]
4 years ago
11

Writey=1/8 x+7 in standard form using integers.

Mathematics
1 answer:
sineoko [7]4 years ago
5 0

Answer:

x - 8y = - 56

Step-by-step explanation:

The equation of a line in standard form is

Ax + By = C ( A is a positive integer and B, C are integers )

Given

y = \frac{1}{8} x + 7

Multiply through by 8 to clear the fraction

8y = x + 56 ( subtract 8y from both sides )

0 = x - 8y + 56 ( subtract 56 from both sides )

- 56 = x - 8y, that is

x - 8y = - 56 ← in standard form

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What is the least possible degree of a polynomial that has roots -5,1 + 4i, and -4i?
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Without any extra conditions, the answer could be 3, and the simplest polynomial with the given roots would be

(<em>x</em> + 5) (<em>x</em> - (1 + 4<em>i</em> )) (<em>x</em> + 4<em>i</em> )

= <em>x</em> ³ + 4<em>x</em> ² + (11 - 4<em>i</em> ) <em>x</em> + 80 - 2<em>i</em>

<em />

If the polynomial is supposed to have only <em>real</em> coefficients, then any complex roots must occur along with their complex conjugates:

(<em>x</em> + 5) (<em>x</em> - (1 + 4<em>i</em> )) (<em>x</em> - (1 - 4<em>i</em> )) (<em>x</em> + 4<em>i</em> ) (<em>x</em> - 4<em>i </em>)

= <em>x</em> ⁵ + 3<em>x</em> ⁴ + 23<em>x</em> ³ + 133<em>x</em> ² + 112<em>x</em> + 1360

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6 0
3 years ago
Gabe invested $350 in baseball cards. If he lost d dollars when he sold the cards, which expression represents the amount of mon
Assoli18 [71]

Answer:

Answer C. 350 - d

Step-by-step explanation:

If Gabe bought his baseball cards for $350, then lost d dollars when selling them, the equation would be the amount he started with minus the amount he lost giving you 350 - d.

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2 years ago
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This is pretty easy! Please help!❤️❤️❤️
vladimir1956 [14]
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julsineya [31]

Answer:

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