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2 years ago

Laws involving positive integral exponents to zero & negative integral exponents.

Mathematics

1 answer:

fiasKO [112]2 years ago

3 0

Answer:

Both are correct

Step-by-step explanation:

<u>Paul used the following identities:</u>

$a^{-b}=1/a^b$
$a^b*a^c=a^{b+c}$

<u>Anthony used the identity:</u>

$a^b/a^c= a^{b-c}$

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arsen [322]

We know that $\overline{x}=8$ so:

$\overline{x}=8\\\\\\\dfrac{\sum\limits_{k=1}^7\,x_k}{7}=8\qquad|\cdot7\\\\\\ \boxed{\sum\limits_{k=1}^7\,x_k=56}$

We want to calculate:

$\sum\limits_{k=1}^7\,\big(2x_k-3\big)^2=\sum\limits_{k=1}^7\,\big(4x_k^2-12x_k+9\big)=\\\\\\=\sum\limits_{k=1}^7\,4x_k^2-\sum\limits_{k=1}^7\,\big12x_k+\sum\limits_{k=1}^7\,9=4\sum\limits_{k=1}^7\,x_k^2-12\sum\limits_{k=1}^7\,x_k+\sum\limits_{k=1}^7\,9=\\\\\\=4\cdot672-12\cdot56+7\cdot9=2688-672+63=\boxed{2079}$

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2 years ago

Explain why (4, 1) is not a solution to the equation y=3x+1

nexus9112 [7]

In (4, 1) 4 represents x, and 1 represents y

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1 = 3(4)+1

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1 ≠ 13 ← sides are not equal so (4, 1) is not a solution to y=3x+1

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3 years ago

The line shown above has a y-intercept of? I need help fast please

Amiraneli [1.4K]

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Step-by-step explanation:

The line connects to the y-axis at 1

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1 year ago

Find the value of x.

azamat

Answer:

98 °

Step-by-step explanation:

We know that the sum of the angles in a triangle is 180. We also know that angle DAB is 122°, meaning that angle CAB is 180-122, which is 58°. We also know that angle CBA is 24 degrees. Therefore, angle x is just 180-(58+24), which is 98

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2 years ago

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pav-90 [236]

Answer:

The answer to your question is the first option

Step-by-step explanation:

Write the division

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x + 1 7x⁴ - 0x³ - 1x² + 10x + 15

-7x⁴ - 7x³

0 - 7x³ - 1x²

+ 7x³ +7x²

0 + 6x² + 10x

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0 + 4x + 15

- 4x - 4

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Result = 7x³ - 7x² + 6x + 4 + 11 / x + 1

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