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Vlad1618 [11]
3 years ago
12

What the sum of -1 2/3÷(2 1/5)

Mathematics
1 answer:
Marina CMI [18]3 years ago
5 0

Answer:

-20/21

Step-by-step explanation:

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Explain with example of why 2^(-8) * 2^(-7) is equal to 2^(-15)
tatyana61 [14]
(-8)*(-7)=(-15)

the 2 in the beginning stays the same, and you multiply what’s in the parentheses to get (-15)
4 0
3 years ago
Determine the singular points of the given differential equation. Classify each singular point as regular or irregular. (Enter y
ludmilkaskok [199]

Answer:

Step-by-step explanation:

Given that:

The differential equation; (x^2-4)^2y'' + (x + 2)y' + 7y = 0

The above equation can be better expressed as:

y'' + \dfrac{(x+2)}{(x^2-4)^2} \ y'+ \dfrac{7}{(x^2- 4)^2} \ y=0

The pattern of the normalized differential equation can be represented as:

y'' + p(x)y' + q(x) y = 0

This implies that:

p(x) = \dfrac{(x+2)}{(x^2-4)^2} \

p(x) = \dfrac{(x+2)}{(x+2)^2 (x-2)^2} \

p(x) = \dfrac{1}{(x+2)(x-2)^2}

Also;

q(x) = \dfrac{7}{(x^2-4)^2}

q(x) = \dfrac{7}{(x+2)^2(x-2)^2}

From p(x) and q(x); we will realize that the zeroes of (x+2)(x-2)² = ±2

When x = - 2

\lim \limits_{x \to-2} (x+ 2) p(x) =  \lim \limits_{x \to2} (x+ 2) \dfrac{1}{(x+2)(x-2)^2}

\implies  \lim \limits_{x \to2}  \dfrac{1}{(x-2)^2}

\implies \dfrac{1}{16}

\lim \limits_{x \to-2} (x+ 2)^2 q(x) =  \lim \limits_{x \to2} (x+ 2)^2 \dfrac{7}{(x+2)^2(x-2)^2}

\implies  \lim \limits_{x \to2}  \dfrac{7}{(x-2)^2}

\implies \dfrac{7}{16}

Hence, one (1) of them is non-analytical at x = 2.

Thus, x = 2 is an irregular singular point.

5 0
3 years ago
The slope point equation of a line passing through the points (-3, -1) and (2, -6) is:
evablogger [386]

Answer:

y = -1x -4

Step-by-step explanation:

The point slope equation is y - y1 = m(x -x1).

You will have to plug in the points (-3, -1) and (2, -6).

y - (-1) = m (x - (-3))

To find "m", find y over x.

m = (y2 - y1) / ( x2 - x1)

m = (-6 + 1)/(2 + 3)

m = -5/5

m = -1

Then plug in "m"

y + 1 = -1(x + 3)

then distribute the "m" into the parenthesis and isolate y or subtract 1 from both sides.

y + 1 = -1x - 3

y = -1x -4

4 0
3 years ago
Whats the answer to #10. use the blue thing.
zvonat [6]
It is 784 cubic inches so you are right

4 0
3 years ago
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7 , 14 , 21 , 28 __ __ __​
kotegsom [21]
35, 42, and 49 jagskahskahslahslabajak
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3 years ago
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