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3 years ago

What is the equation of the following line? Be sure to scroll down first to see

Mathematics

2 answers:

olchik [2.2K]3 years ago

6 0

Answer:

$y=6x$

Step-by-step explanation:

we have the ordered pairs

(0,0) and (-1/2,-3)

In this problem we have a proportional relationship, because the line passes through the origin

A proportional variation can be expressed in the form $k=\frac{y}{x}$ or $y=kx$

Find the value of the constant of proportionality k

For x=-1/2, y=-3

$k=\frac{y}{x}$ ----> $k=\frac{-3}{(-1/2)}=6$

therefore

The linear equation is equal to

$y=kx$

substitute the value of k

$y=6x$

jeka943 years ago

4 0

Answer: Y=-6x

Step-by-step explanation:

APEX

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I need help finishing a question. I used the explanation function on the program, but it didn't specify what to do to get the fi

leva [86]

I would compute sqrt(1 + 160pi^2) first to get approximately 39.75093337

Add this to 1 and we have 40.75093337

Then divide over 2pi to get a final approximate result of 6.48571248

So x = 6.48571248 is one approximate solution

In short, I computed $\frac{1+\sqrt{1+160\pi^2}}{2\pi}$ only focusing on the plus for now.

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If you were to compute $\frac{1-\sqrt{1+160\pi^2}}{2\pi}$ you should get roughly -6.167402596 as your other solution. Each solution can then be plugged into the original equation to check if you get 0 or not. You likely won't land exactly on 0 but you'll get close enough.

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3 years ago

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A portfolio has a E[r] of 12% and a std deviation of 18%. T-Bills return 7%. What is the maximum level of risk aversion (A) for

solniwko [45]

<h2>The required "option D) 3.09" is correct.</h2>

Step-by-step explanation:

Given,

A portfolio has a E[r] = 12 %, and

A standard deviation ( $\sigma$ ) = 18 %

We know that,

Specify utility by U = E(r) – 0.5A $\sigma^2$

U = 0.12– 0.5(A) × $0.18^2$

= 0.12 - 0.5 × A × 0.0162

In order for the risky portfolio to be preferred to bills,

The following condition must have:

0.12 – 0.0162A > 0.07

⇒ A < $\dfrac{0.05}{0.0162}$ = 3.09

A must be less than 3.09 for the risky portfolio to be preferred to bills.

Thus, the required "option D) 3.09" is correct.

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4 years ago

A) what is the slope of the parallel to y=2x+3

tekilochka [14]

Answer:

a) 2 b) -1/2

Step-by-step explanation:

a) im pretty sure the question only asks for the slope of the parallel line y=2x+3, that that would be 2 because they have the same slope

b) the question is phrased weird, but im assuming it wants the same thing from a, (the slope) and the slope of a perpendicular like is always the opposite reciprocal of the original number

for example in y=2x+3:

2 is the original slope

meaning that the perpendicular would be -1/2

the images above are just examples and are not related to the answer

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3 years ago

Kelly is three years younger than her sister. The sum of their ages is 34 years. How old is Kelly and how old is her sister?

Kazeer [188]

Answer:

Kelly is 20

Her sister is 14

Step-by-step explanation:

34 ÷ 2 = 17 (average)

17 + 3 = 20

17 - 3 = 14

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4 years ago