All categories

3 years ago

Tell whether x and y show direct variation. Explain your reasoning. x=y+2

Mathematics

1 answer:

Mashutka [201]3 years ago

6 0

Answer:

It does not show variation

Step-by-step explanation:

Given

$x = y + 2$

Required

Determine if there's direct variation between x and y

The general form of direct variation is:

$y = kx$

Make y the subject of formula in the given parameters;

$x = y + 2$

$y = x - 2$

Compare $y = x - 2$ to $y = kx$

<em>Since they are not of the same form, then the given equation do not show direct variation</em>

You might be interested in

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

Trigonometry, please help thank you

alina1380 [7]

Step-by-step explanation:

<h2>Length of x is 98.2 m</h2><h2 /><h2>Step-by-step explanation:</h2><h2 /><h2>Step 1:</h2><h2 /><h2>Use the trigonometric ratio tan 27° to find the common side of both the right angled triangles.</h2><h2 /><h2>tan 27° = opposite side/adjacent side =</h2><h2 /><h2>opposite side/9</h2><h2 /><h2>Opposite side = 9 tan 27° 9 x 3.27 =</h2><h2 /><h2>-29.46 m</h2><h2 /><h2>Step 2:</h2><h2 /><h2>Use this side and trigonometric ratio cosine to find the value of x.</h2><h2 /><h2>cos 49° = adjacent side/x = -29.46/x</h2><h2 /><h2>x = -29.46/cos 49° -29.46/0.30</h2><h2 /><h2>= 98.2 m (negative value neglected)</h2><h2 /><h2><em><u>Please</u></em><em><u> </u></em><em><u>mark</u></em><em><u> </u></em><em><u> </u></em><em><u>me </u></em><em><u>Brainlist.</u></em></h2>

8 0

3 years ago

Bloom works for 7.5 hours a day how much money would he make if he made $15.76 per hour

Andre45 [30]

If bloom works for 7.5 hrs a day and makes 15.76 an hour that would be 118.20 a day, 591 a week, 2,364 a month, and 28, 368 a year.

8 0

3 years ago

Gravano Engineering co has the following items appearing in its statement of financial position at the year end:

professor190 [17]

Based on the items appearing in Gravano Engineering's Statement of Financial Position at the year-end, the totals for the following are:

1. Non-current Assets = $192,000

2. Current Assets = $64,000

<h3>What is a Statement of Financial Position?</h3>

A Statement of Financial Position is a financial statement that shows an entity's assets, liabilities, and equity.

Assets are items owned by an individual or entity that generate current, future, or potential economic benefits.

Liabilities are financial obligations that an individual or entity owes creditors.

Equity is the difference between assets and liabilities, which refers to the financial benefits accruing to the stockholders.

<h3>Data and Calculations:</h3>

1. Trade payables $39,000

2. Cash at bank 14,000

3. Motor vans 25,000

4. Inventories 7,000

5. Bank overdraft 13,000

6. Property 96,000

7. Trade receivables 43,000

8. Plant and equipment 26,000

9. Trademarks 28,000

10. Fixtures and fittings 17,000

11. Mortgage on property 45,000

<h3>Current Assets:</h3>

2. Cash at bank 14,000

4. Inventories 7,000

7. Trade receivables 43,000

Total current assets = $64,000

<h3>Non-Current Assets:</h3>

3. Motor vans 25,000

6. Property 96,000

8. Plant and equipment 26,000

9. Trademarks 28,000

10. Fixtures and fittings 17,000

Total non-current assets = $192,000

Thus, the total non-current assets are $192,000 and the current assets total $64,000.

Learn more about current and non-current assets at brainly.com/question/24147620

#SPJ1

3 0

2 years ago

What is the value of x?

IrinaK [193]

Answer:

Step-by-step explanation:

104-77=27

3 0

3 years ago