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3 years ago

One number is 4 times number another. Their sum is 35. Find the number

Mathematics

1 answer:

jonny [76]3 years ago

3 0

Answer:

Step-by-step explanation:

n+4n=35

5n=35

5n/5=35/5

n=7

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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

((5 - -5) x (9 + 3) /4)-10= enter your answer in the box 66 points pls help

Sergio039 [100]

Answer:

uhtvdbwiethweieigwhijgiwhgjwogw

Step-by-step explanation:

wdgqgsggdggd

7 0

2 years ago

What is the cost for a $1,200 washing machine

koban [17]

The total cost for a $1,200 washing machine is $1,200. In the real world it would be 1,200 + tax.

3 0

3 years ago

Read 2 more answers

A rectangular bin has a perimeter of 36 inches. The length of the bin is twice the width. Write and solve an equation to determi

bekas [8.4K]

2x + 4x = y
x=6
2(6)+4(6) = 36 sq in.

3 0

3 years ago

A bag contains 5 red marbles, 4 blue marbles and 6 green marbles. If three marbles

Nina [5.8K]

Answer:

The probability of drawing three red marbles is 1/27, or about 3.71%

Step-by-step explanation:

Add all the marbles:

5 + 4 + 6 = 15

Find favourable outcomes:

The probability for drawing a red marble is:

5/15 or 1/3

Multiply this ×3 to find the probability of drawing three red marbles.

1/3 × 1/3 × 1/3 = 1/27

1 ÷ 27 = 0.0370370370 ... repeating

8 0

3 years ago