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2 years ago

Graph the following lines and write the equation in slope-intercept form. c Through the points (5,6) and (−1,4).

Mathematics

1 answer:

Juli2301 [7.4K]2 years ago

6 0

Answer:

Step-by-step explanation:

Slope = change in y/change in x

2nd point y minus 1st point y divide it by 2nd point x minus 1st point x.

So, slope = 4 - 6/(-1) -5 = -2/-6 = 1/3

y=mx+b

y=1/3x+b

Plug in any of the two points you were given to find y - intercept! I will plug in (5,6)

6=1/3(5)+b

6=5/3+b

6-5/3=13/3 so b=13/3

b is your y intercept so it will be the point on the y - axis. It should be between 4 and 5, but the point should be plotted closer to 4. Then move 1 up and 3 to the right to find your other points!

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Vinvika [58]

Hi,

Work:

Equation;

$y = \frac{2x}{1 + {x}^{2} }$

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Domain: x = R
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8 0

2 years ago

You roll a six-sided die. Find the probability of each of the following scenarios

romanna [79]

Answer:

a) $1/2$

b) $5/6$

c) $2/3$

Step-by-step explanation:

Rolling a number greater than 3 means you can roll a 4, 5, or 6, which contains rolling a 6. So, the probability is $(1+1+1)/6=3/6=\boxed{1/2}$

Rolling a number less than 5 means you can roll a 1, 2, 3, or 4, but because you could also roll an even number, so you could also roll a 6.

So, the probability is $(1+1+1+1+1)/6=\boxed{5/6}$

Rolling a 4 or an odd number means you can roll a 1, 3, 5, or 4. So, the probability is $(1+1+1+1)/6=4/6=\boxed{2/3}$

6 0

2 years ago

What is the volume of the right rectangular prism?

Kamila [148]

What is 7x5x4, it is 140 so the volume is 140in^3 its a pretty simple problem

7 0

3 years ago

Read 2 more answers

214 people used a public swimming pool. $1.50 for kids and $2.25 for adults. The receipt totaled to $390 How many children and h

zysi [14]

Answer:the number of kids that used the public pool that day is 122

the number of adults that used the public pool that day is 92

Step-by-step explanation:

Let x represent the number of kids that used the public pool that day.

Let y represent the number of adults that used the public pool that day.

214 people used a public swimming pool. This means that

x + y = 214

1.50 for kids and $2.25 for adults. The receipt totaled to $390. This means that

1.5x + 2.25y = 390 - - - - - - - - - -1

Substituting x = 214 - y into equation 1, it becomes

1.5x

1.5(214 - y) + 2.25y = 390

321 - 1.5y + 2.25y = 390

- 1.5y + 2.25y = 390 - 321

0.75y = 69

y = 69/0.75 = 92

Substituting y = 92 into x = 214 - y, it becomes

x = 214 - 92 = 122

5 0

2 years ago

the British Thermal Unit(BTU) is a unit of energy used globally in air conditioning industries. the number of BTUs needed to coo

7nadin3 [17]

Answer:

Step-by-step explanation:

B = 377lw

I will use L for length instead of l.

B = 12,252.5 BTU

w = 5 m

First, we find the length.

12,252.5 = 377(L)(5)

12,252.5 = 1885L

L = 6.5

The length is 6.5 m. The width is 5 m.

A = LW = (6.5 m)(5 m) = 32.5 m^2

4 0

3 years ago