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enot [183]
2 years ago
7

HELP FAST 10 POINTS

Mathematics
1 answer:
Nat2105 [25]2 years ago
5 0

Answer:

y=1/5x-3

Step-by-step explanation:

Start by finding the slope:

Slope = (y₂-y₁)/(x₂-x₁)

Now we plug in the coordinates:

Slope = (12-(-3))/(-3-0)=(12+3)/(-3)=15/-3=-5

The slope intercept equation would be

y=mx+b

Slope is m and y-intercept is b. x and y and the x and y-coordinates.

Now we plug in one of the x and y coordinate pairs into the equation:

-3=-5(0)+b

b=-3

So the equation of the line would be

y=-5x-3

<em>But the slope of a perpendicular line is the negative reciprocal of the original equation</em>

So...

y=1/5x-3

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If the risk-free rate is 7 percent, the expected return on the market is 10 percent, and the expected return on Security J is 13
Lelu [443]

Answer:

0.02 or 2% = Beta

Step-by-step explanation:

Given that,

Risk-free rate = 7 percent

Expected return on the market = 10 percent

Expected return on Security J = 13 percent

Therefore, the beta of Security J is calculated as follows;

Expected return on Security J = Risk-free rate + Beta (Expected return on the market - Risk-free rate)

13 percent = 7 percent + Beta (10 percent - 7 percent)

0.13 - 0.07 = 0.03 Beta

0.06 = 0.03 Beta

0.06 ÷ 0.03 = Beta

0.02 or 2% = Beta

6 0
2 years ago
The data set shown below represents the number of times some families went out for dinner the previous week. 4, 2, 2, 0, 1, 6, 3
Mkey [24]

Dot plots are used to represent data using dots

The true statements about the dataset are:

  • The range of the number line should be 0 to 7 to represent the frequency.
  • Four families said they ate out twice the previous week.
  • One family said they ate out 5 times the previous week

The dataset is given as:

4, 2, 2, 0, 1, 6, 3, 2, 5, 1, 2, 4, 0, 1

Rearrange in ascending order

0, 0, 1, 1, 2, 2, 2, 2, 4, 4, 5, 6

Represent as a frequency table

Data     Frequency

0               2

1                2

2                4

3               0

4               2

5               1

6               1

See attachment for the dot plot

From the attachment, we can see that:

  • 4 has a frequency of 2
  • 5 has a frequency of 1

Also, the range on the dot plot can be 0 to 7, because it covers the given dataset

Hence, the true statements are: (a), (b) and (c)

Read more about dot plots at:

brainly.com/question/21862696

7 0
2 years ago
Read 2 more answers
In the equation x^2+10x+24=(x+a)(x+b), b is an integer. Find algebraically all possible values of b
Vinil7 [7]
(x+4)(x+6)
(x+6)(x+4) 

8 0
3 years ago
A boutique prices merchandise by adding 80% to its cost. It later decreases by 25% the price of items that do not sell quickly
Darya [45]
A. Write a function f(x) to represent the price after the 80% markup. 
<span>b. Write a function g(x) to represent the price after the 25% markdown. </span>
<span>c. Use a composition function to find the price of an item after both price adjustments that originally costs the boutique $150. </span>
<span>d. Does the order in which the adjustments are applied make a difference? Explain. 
</span>
answers 

 <span>a) f(x) = 1.8x 

b) f(x) = 0.75(1.8x) 

c) f(150) = 0.75(1.8(150) = $202.50 

d) No, it doesn't matter. The result is the same.
</span>
8 0
2 years ago
Rectangle ABCD is translated (x + 2 y - 3) and then rotated 180° about the origin. Complete the table to show the locations of A
katen-ka-za [31]

Answer:

A

Step-by-step explanation:

4 0
2 years ago
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