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Aleks04 [339]
3 years ago
5

Verify the following i.[ -3/4]3 = -27/64 ii. [-2/3]6 = 64/ 729

Mathematics
1 answer:
Juliette [100K]3 years ago
4 0

Answer:

The relationships are correct and valid

Step-by-step explanation:

The correct question is as follows;

Verify the following

i.[ -3/4]^3 = -27/64

ii. [-2/3]^6 = 64/ 729

We have the solution as follows;

i) we have;

(-3/4)^3

That means ;

-3^3 = -3^3 = -27

4^3 = 64

so;

(-3/4)^3 = -27/64

ii) (-2/3)^6

(-2)^6 = 64

3^6 = 729

Thus;

(-2/3)^6 = 64/729

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Step-by-step explanation:

1/3 x 6/1 = 6/3

6/3 = 2

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2 years ago
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HELPPPPPPPP PLSSSS I HAVE 30 BEFORE THIS IS DUE
postnew [5]

Answer:

The line equation in slope-intercept form is:

y\:=-\frac{2}{5}x+4

Hence, option D is true.

Step-by-step explanation:

Given the points

  • (0, 4)
  • (5, 2)

Finding the slope between the points

\left(x_1,\:y_1\right)=\left(0,\:4\right),\:\left(x_2,\:y_2\right)=\left(5,\:2\right)

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

m=\frac{2-4}{5-0}

m=-\frac{2}{5}

As the y-intercept is obtained by setting the value x = 0.

As we know that when x = 0, the vale of y-intercept y = 4

so the y-intercept is b = 4.

As the slope-intercept form is

substituting the slope m = -2/5 and the y-intercept b=4

y  = mx+b

y\:=-\frac{2}{5}x+4

Therefore, the line equation in slope-intercept form is:

y\:=-\frac{2}{5}x+4

Hence, option D is true.

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2 years ago
Question 8 (1 point)
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Find the sum of the given arithmetic series. 14 + 28 + 42 + 56 + ... + 280
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where we use the well-known identity,

\displaystyle \sum_{i=1}^ni = 1 + 2 + 3 + \cdots + n = \dfrac{n(n+1)}2

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