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3 years ago

Which equation represents a proportional situation?

Mathematics

1 answer:

ad-work [718]3 years ago

3 0

The answer is a and the it do not have y intercept

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Dy/dx = y/x , y(1) = −2

s2008m [1.1K]

Start with

$\dfrac{dy}{dx}=\dfrac{y}{x}$

Separate the variables:

$\dfrac{dy}{y} = \dfrac{dx}{x}$

Integrate both parts:

$\displaystyle \int \dfrac{dy}{y} = \int\dfrac{dx}{x}$

Which implies

$\log(y) = \log(x)+c$

Solving for y:

$y = e^{\log(x)+c} = e^{\log(x)}e^c=xe^c$

Since $e^c$ is itself a constant, let's rename it $c_1$ .

Fix the additive constant imposing the condition:

$y(1) = c_1\cdot 1 = -2\iff c_1=-2$

So, the solution is

$y(x) = -2x$

5 0

3 years ago

A minus 5.36 = 1.04 solve for a what is it

nika2105 [10]

Answer:

A = 6.4

Step-by-step explanation:

A - 5.36 = 1.04

+5.36 +5.36

A = 6.4

8 0

3 years ago

Starbucks repurchased over $7,208.7 million of its common stock in 2018. Did this repurchase increase or decrease Starbucks’ ROE

sukhopar [10]

Probably increase yayayay

4 0

3 years ago

Plzzz help I am stuck if u answer I will put u down as brainliest

Setler79 [48]

Answer:

tge area of triangle is 36 in2 so she can only create 4 triangle

Step-by-step explanation:

area of square grid = 12 × 12

=144

area of triangle = 1/2 × 6 × 6

;;; = 18 ×2

=36

area if square grid/ area of triangle

=144/ 36

6 0

3 years ago

Desmos Introduction to Geometry Proofs<br> Proof #5 Challenge

xz_007 [3.2K]

Answer:

For statement 2, reason is Segment addition postulate.

Statement 3 and reason is

BD=AC+CD using substitution property of equality.

Statement 4 and reason is

AC+CD=BD using symmetric property of equality

Statement 5 is

BD= BC+CD

Statement 6 and reason is

AC+CD=BC+CD using transitive property of equality

Reason for 7 is

Subtraction property of equality.

Step-by-step explanation:

For statement 2, we use segment addition postulate to say AC= AE+EC.

8 0

3 years ago