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3 years ago

When x = 2, y = 50 and when x = 4, y = 100. Which direct variation equation can be used to model this function?

2 answers:

Taya2010 [7]3 years ago

8 0

Y=25x because if you were plug in the x for both equations:

y=25 (2)
y=50

y=25 (4)
y=100

It would be the same value as y.

hjlf3 years ago

5 0

The answer is y=25x

bc 25x2=50 and 25x4=100

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Solve the differential equation by variation of parameters. y''+y=secx

suter [353]

Answer:y=

Acosx+Bsinx +cosx ln(cosx)+x sinx

Step-by-step explanation:

given equation y''+y=secx

auxiliary equation

$p^2+1=0\\p=\pm i$

so CF is y=Acosx+Bsinx

now

$y_1(x)=cosx \ \ \ \ y_2(x)=sinx\\{y_1}'(x)=-sinx \ \ \ \ {y_2}'(x)=cosx$

using wronskian formula

$W=\begin{vmatrix}cosx &sinx \\ -sinx & cosx\end{vmatrix}$

= $cos^2x+sin^2x=1$

now f(x)=secx

$u=-\int \frac{f(x)y_2(x)}{W(x)}dx \ and \ v=\int \frac{f(x)y_1(x)}{W(x)}dx$

$u=-\int \frac{secx\times sinx}{1}dx \ and \ v=\int \frac{secx\times cosx}{1}dx$

$u=-\int tanx dx \ and \ v=\int {1}dx$

$u=ln(cosx) \ \ \ and \ \ v=x$

now particular integrals are

PI=cosx ln(cosx)+x sinx

total solution

y= C.F+P.I

y=Acosx+Bsinx +cosx ln(cosx)+x sinx

8 0

3 years ago

Convert 3/75 to a decimal , then to a percent

jek_recluse [69]

Firstly we need to simplify it:

3/75 = 1/25

We know that 1/25 is as much as 4/100 which can be written as 0,04.

Also 0,04 is as much as 4%.

I hope it'll help you :)

3 0

3 years ago

Geometry one help please!

12345 [234]

What is the question?

3 0

2 years ago

A warehouse worker fills 150 orders per day on average. From day to day, the number of orders varies by 2%. What is the range of

choli [55]

Answer:

The range is from 147 to 153 orders per day

Step-by-step explanation:

orders varies by 2% means that orders can be LOWER THAN THE AVERAGE, or HIGHER THAN THE AVERAGE.

That is, by 2%.

First, we need to find the decimal of 2%, so

2/100 = 0.02

We multiply this with the average number of order, 150, to get the varying amount:

0.02 * 150 = 3

Thus, the range would be:

150 - 3 = 147

150 + 3 = 153

The range is from 147 to 153 orders per day

5 0

3 years ago

Help!!! Solve for h: 6.1h = 2.44

Anna007 [38]

Answer:

h=0.4

Step-by-step explanation:

6.1h=2.44

h=2.44/6.1

h=0.4

5 0

2 years ago