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3 years ago

Find the equation of the line. Use exact numbers. y= ( )x + ( )

Mathematics

1 answer:

Rama09 [41]3 years ago

6 0

Answer:

y=-2x+5

Step-by-step explanation:

Use the equation y=mx+b

We can find the b(y-intercept) by looking at the graph

The graph crosses the y-axis at (0,5)

We can look at the slope at the graph. We can see its down 4 over 2 so the slope is -2.

Plug that into the equation y=mx+b

y=-2x+5

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If we know its slope is -5 and y-intercept is 4, then what is the equation of the line in slope-intercept form?

meriva

Y=mx+b This is the equation, now just plug in the numbers provided to you.
m=slope b=y-intercept

y=(-5)(x)+4

4 0

3 years ago

Find an explicit solution to the Bernoulli equation. y'-1/3 y = 1/3 xe^xln(x)y^-2

NNADVOKAT [17]

$y'-\dfrac13y=\dfrac13xe^x\ln x\,y^{-2}$

Divide both sides by $\dfrac13y^{-2}(x)$ :

$3y^2y'-y^3=xe^x\ln x$

Substitute $v(x)=y(x)^3$ , so that $v'(x)=3y(x)^2y'(x)$ .

$v'-v=xe^x\ln x$

Multiply both sides by $e^{-x}$ :

$e^{-x}v'-e^{-x}v=x\ln x$

The left side can be condensed into the derivative of a product.

$(e^{-x}v)'=x\ln x$

Integrate both sides to get

$e^{-x}v=\dfrac12x^2\ln x-\dfrac14x^2+C$

Solve for $v(x)$ :

$v=\dfrac12x^2e^x\ln x-\dfrac14x^2e^x+Ce^x$

Solve for $y(x)$ :

$y^3=\dfrac12x^2e^x\ln x-\dfrac14x^2e^x+Ce^x$

$\implies\boxed{y(x)=\sqrt[3]{\dfrac14x^2e^x(2\ln x-1)+Ce^x}}$

4 0

3 years ago

Don't just guess if you don't know. I need the exact answer please

Arada [10]

You should learn how to do this

20.5

6 0

3 years ago

Read 2 more answers

Lenny bought x shares of stock for Sy per share last month. He paid

gulaghasi [49]

Lenny's net proceeds algebraically are found as; $\rm |xy + 20 - \frac{98}{100} |$

<h3>What is the equation?</h3>

A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.

Let the bought share will be $ x, and $y is the price per share

Paid fees to the broker = $ 20

The total amount spent = $(xy+20)

The price at which each share sells = $ A

Broker commission = 2 %

The total amount obtained after selling the shares;

⇒ ax - 2% of ax

⇒ 98 % of ax

Hence, Lenny's net proceeds algebraically are found as; $\rm |xy + 20 - \frac{98}{100} |$

To learn more, about equations, refer;

brainly.com/question/10413253

#SPJ1

8 0

2 years ago

Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!

notka56 [123]

I think it is second one

8 0

3 years ago