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Aleks [24]
3 years ago
10

Write in slope-intercept form an equation of the line that passes through the points (-4, 2) and (6,-3).

Mathematics
1 answer:
kykrilka [37]3 years ago
8 0

Answer:

y = (-1/2)x

Step-by-step explanation:

As we go from (-4, 2) to (6, -3), x (the "run") increases by 10 and y (the "rise") decreases by 5.  Thus, the slope of the line connecting these two points is m = rise / run = m = -5/10, or m = -1/2.

We adapt the slope-intercept form as follows:  y = mx + b becomes

2 = (-1/2)(-4) + b, or

2 = 2 + b.  Therefore, b must be 0.  The desired eequation is y = (-1/2)x.

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A population of deer mice consists of 200 individuals and has an r = 0.1. A population of wood rats consists of 100 individuals
Mariulka [41]

Answer:

Population of dice mice after one year = 2000

Population of wood rats after one year = 1000

The population of deer mice is growing faster than the popular of wood rats

Step-by-step explanation:

The expression for population = dN/dt = rN

Upon integration N = rN²/2

Therefore for population N = 200 and r= 0.1

N after one year = (0.1 x 200²)/ 2 = 2000

Therefore for population N = 100 and r= 0.2

N after one year = (0.2 x 100²)/ 2 = 1000

Hence the population of deer mice is growing faster than the popular of wood rats

7 0
3 years ago
What is the equation of the line represented by the table below? X -2 -1 0 1 2 - y 16 11 6 1 -4 O A. y = -5x+9 OB. y = -5x+6 O C
Nina [5.8K]

Option (c) is the correct answer

The equation y = -5x + 6 is represented by the given table i.e.

x   -2   -1   0   1   2

y   16   11   6   1  -4

Given, a table

x   -2   -1   0   1   2

y   16   11   6   1  -4

Now, we have to find the equation of the line, satisfying the given values

As, the equation

y = -5x + 6 satisfying the given set of values,

So, the equation y = -5x + 6 is represented by the given table.

Hence, the equation y = -5x + 6 is represented by the given table.

Learn more about Linear Equations here here brainly.com/question/2030026

#SPJ9

5 0
1 year ago
Don,Eric, and Finn line up in random order for the cafeteria line. What is the probability that they will line up from front to
Vanyuwa [196]

Answer:

  1/6

Step-by-step explanation:

The number of ways they can line up is 3×2×1 = 6. Only one of these is alphabetical order. The probability that they will line up randomly in alphabetical order is 1/6.

__

Any of the three can line up first; either of the remaining two can line up second, and the remaining person can line up last. Thus there are 3×2×1 possible orders.

5 0
3 years ago
Read 2 more answers
1. Use a property of exponents to write (3b)⁵ as a product of powers. 2. What is the width of the rectangle written as an expone
motikmotik

Answer:

Step-by-step explanation:

1. (3b)^5

= (3b)^2 * (3b)^3.

2.  Width = area / length

= 10^4 / 10^3

= 10^(4-3)

= 10 m.

8 0
3 years ago
Approximate the value of <br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B5%7D%20" id="TexFormula1" title=" \sqrt{5} " alt=" \
k0ka [10]
2.2367 , therefore to the nearest hundredth it would be 2.237
5 0
3 years ago
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