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Natalija [7]
3 years ago
5

In slope-intercept form, write the equation of the line that passes through points (-7, 8) and (2, -2).

Mathematics
2 answers:
Simora [160]3 years ago
8 0

Answer:

y = -1x + 0.5

Step-by-step explanation:

Ymorist [56]3 years ago
3 0

Answer:

y = -1x + 0.5

Step-by-step explanation:

First, I plotted the points (-7, 8) and (2, -2). Then, I drew a line connecting the two points. At the point (-7, 8), I went down 2 squares and to the right 2. This would give me a slope of -1. Since the line touches the y-axis at 0.5, this is the y-intercept.

I am not sure about the y-intercept of this equation. If I got this wrong, I am sorry and please let me know. Thank you!

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Research scientists use a standard practice called the _____ method to help them understand phenomena.
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C is the answer because a1=7 , d=-4 and so it's

an=an+(n-1)d

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2 years ago
The owner of a local restaurant surveyed her staff on their preference of uniform color. The results are displayed in the table
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Answer:

A is the answer - sample 1 and sample 2 are most representative because they are the same answer.  

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Set up a system of linear equations to represent the scenario. Solve the system by using Gaussian elimination or Gauss-
lapo4ka [179]

She invested $11,250 in the stock, $3,750 in the CD and $12,000 in the bond fund.

<h3><u>Distributions</u></h3>

Given that Sylvia invested a total of $27,000, and she invested part of the money in a certificate of deposit (CD) that earns 3% simple interest per year, she invested in a stock that returns the equivalent of 7% simple interest, and she invested in a bond fund that returns 2%, and she invested three times as much in the stock as she did in the CD, and earned a total of $1140 at the end of 1 yr, to determine how much principal did she put in each investment, the following calculation must be made:

  • 9000 x 0.07 + 3000 x 0.03 + 15000 x 0.02 = 630 + 90 + 300 = 1020
  • 9900 x 0.07 + 3300 x 0.03 + 13800 x 0.02 = 693 + 99 + 276 = 1068
  • 12,000 x 0.07 + 4,000 x 0.03 + 11,000 x 0.02 = 840 + 120 + 220 = 1,180
  • 11400 x 0.07 + 3800 x 0.03 + 11800 x 0.02 = 798 + 114 + 236 = 1148
  • 10800 x 0.07 + 3600 x 0.03 + 12600 x 0.02 = 756 + 108 + 252 = 1116
  • 11160 x 0.07 + 3720 x 0.03 + 12120 x 0.02 = 781.2 + 111.6 + 242.4 = 1135.2
  • 11190 x 0.07 + 3730 x 0.03 + 12080 x 0.02 = 783.3 + 111.9 + 241.6 = 1136.8
  • 11250 x 0.07 + 3750 x 0.03 + 12000 x 0.02 = 787.5 + 112.5 + 240 = 1140

Therefore, she invested $11,250 in the stock, $3,750 in the CD and $12,000 in the bond fund.

Learn more about distribution in brainly.com/question/10250387

7 0
2 years ago
An opaque cylindrical tank with an open top has a diameter of 3.25 m and is completely filled with water. When the afternoon Sun
kicyunya [14]

Answer:

10.69

Step-by-step explanation:

We must first know that the angle of refraction is given by the following equation:

n_water * sin (A_water) = n_air * sin (A_air)

where n is the refractive index, for water it is 1.33 and for air it is 1.

The angle (A) in the air is 22.8 °, and that of the water is unknown.

Replacing these values we have to:

1.33 * sin (A_water) = 1 * 0.387

sin (A_water) = 1 * 0.387 / 1.33

A_water = arc sin (0.2907) = 16.9 °

now for the tank depth:

h = D / tan (A_water)

D = 3.25

Replacing

h = 3.25 / tan 16.9 °

h = 10.69

Therefore the depth is 10.69 meters.

6 0
3 years ago
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