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dezoksy [38]
2 years ago
10

What is the solution to the system of equations? Use the substitution method. {y=−2x+53x−4y=2

Mathematics
1 answer:
klio [65]2 years ago
8 0

y =  - 2x + 53x - 4y = 2 \\  y  = 51x - 4y = 2 \\  > y = 51 x - 4y \\  > 51x - 4y = 2
y = 51x - 4y \\ 5y = 51x \\ y =  \frac{51}{5} x
Substitute 51/5x into
51x - 4( \frac{51}{5} x) = 2 \\ 51x - 40.8x = 2 \\ 10.2x = 2 \\ x = 2 \times  \frac{10}{102}  \\ x =  \frac{10}{51}  \: aka \: 0.196
Substitute that into
y =  \frac{51}{5}  \times  \frac{10}{51}  \\ y = 2
Hope this helps. Answer should be correct. Unless your quadratic equation is wrongly stated.
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Answer:

12πx⁴, 15x⁷, 16x⁹

Step-by-step explanation:

Volume of a cylinder: πr²h

Volume of a rectangular prism: whl

Plugging in variables for the volume of a cylinder, we get: 3x²·(2x)²·π

3x²·(2x)² = 3·2·2·x·x·x·x

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A monomial is a 1-term polynomial, so 12x⁴π is a monomial.

Plugging in variables for the volume of a rectangular prism, we get: 5x³·3x²·x²

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Now, we just multiply that by x².

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A monomial is a 1-term polynomial, so 15x⁷ is a monomial.

Same steps for the last shape, another rectangular prism:

2x²·2x³·4x⁴

2x²·2x³

= 2·2·x·x·x·x·x

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Now, we just multiply that by 4x⁴.

4x⁵·4x⁴

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6 0
2 years ago
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baherus [9]

Answer:

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Step-by-step explanation:

The least common denominator will be 8x^2, the product of 2 and x to the highest of their powers in either of the denominators.

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