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3 years ago

24 PTS!!!!!!1

Mathematics

1 answer:

balandron [24]3 years ago

8 0

Answer:

D (7, 0.5)

Step-by-step explanation:

The equations must be interpreted to be ...

y = -1/2x +4
y = 1/2x -3

A graph shows the solution to be (7, 0.5), matching selection D.

___

You can add the two equations together to get ...

(y) +(y) = (-1/2x +4) + (1/2x -3)

2y = 1 . . . . . simplify

y = 1/2 . . . . .divide by 2

It can be convenient to use the second equation to find x.

1/2 = 1/2x - 3

1 = x - 6 . . . . . . multiply by 2

7 = x . . . . . . . . . add 6

The solution is (x, y) = (7, 0.5). . . . . matches selection D.

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Need the a answer for this

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Answer:

Given expression:

$\dfrac{14a^4b^6c^{-10}}{8a^{-2}b^3c^{-5}}$

Separate the variables:

$\implies \dfrac{14}{8} \cdot \dfrac{a^4}{a^{-2}} \cdot \dfrac{b^6}{b^3} \cdot \dfrac{c^{-10}}{c^{-5}}$

Reduce the first fraction:

$\implies \dfrac{7}{4} \cdot \dfrac{a^4}{a^{-2}} \cdot \dfrac{b^6}{b^3} \cdot \dfrac{c^{-10}}{c^{-5}}$

$\textsf{Apply Division Property of Exponents rule} \quad \dfrac{a^b}{a^c}=a^{b-c}:$

$\implies \dfrac{7}{4} \cdot a^{4-(-2)} \cdot b^{6-3} \cdot c^{-10-(-5)}$

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$\textsf{Apply Negative Property of Exponents rule} \quad a^{-n}=\dfrac{1}{a^n}$

$\implies \dfrac{7}{4} \cdot a^{6} \cdot b^{3} \cdot \dfrac{1}{c^5}$

Therefore:

$\implies \dfrac{7a^6b^3}{4c^5}$

4 0

2 years ago

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Answer:

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Step-by-step explanation:

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