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never [62]
3 years ago
15

What is an equation in slope-intercept form of the line that passes through the points (−2, −2) and (1, 7)? A.y = 4x + 3 B.y − 7

= 3(x − 1) C.y = 3x + 4 Dy + 2 = 3(x + 2)
Mathematics
1 answer:
antoniya [11.8K]3 years ago
8 0

Answer:

C.y = 3x + 4

Step-by-step explanation:

We have two points, so we can find the slope

m = (y2-y1)/ (x2-x1)

   = (7--2)/ (1--2)

   = (7+2)/(1+2)

    = 9/3

    =3

The slope is 3

We can find the point slope form of the line

y-y1 = m(x-x1)

y-7 = 3(x-1)

Distribute

y-7 =3x-3

Add 7 to each side

y-7+7 = 3x-3+7

y = 3x+4

This is in slope intercept form (y=mx+b)

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A car travels 320 miles on 15 gasoline. The best estimate if the cars mile per gallon is
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Answer:

21.333 miles per gallon

Step-by-step explanation:

3 0
3 years ago
While in flight, a hot air balloon decreases its elevation by 83 2/5 meters and then increases its elevation by 83.7 meters
Pachacha [2.7K]

An inequality which compares the changes in elevation of this hot air balloon while in flight is given by L - 83 2/5 ≤ L ≤ L + 83.7.

<h3>What is an elevation?</h3>

An elevation is also referred to as an altitude and it can be defined as the vertical distance (height) above a natural satellite or the surface of planet Earth such as land or sea level.

This ultimately implies that, an elevation (altitude) simply refers to the vertical height (elevation) of an object or physical body above a particular location or planetary reference plane such as land or sea level on planet Earth.

<h3>What is an inequality?</h3>

An inequality can be defined as a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following arguments (symbols):

  • Less than (<).
  • Greater than (>).
  • Less than or equal to (≤).
  • Greater than or equal to (≥).

For this exercise, let the variable L represent the initial height of this balloon. Also, since the hot air balloon decreased its elevation by 83 2/5 and increases its elevation by 83.7 meters, we have the following:

  • The lower limit is equal to: L - 83 2/5.
  • The upper limit is equal to: L + 83.7.

In this context, an inequality which models the changes in elevation of this hot air balloon is L - 83 2/5 ≤ L ≤ L + 83.7.

Read more on inequality here: brainly.com/question/6666926

#SPJ1

5 0
1 year ago
A binomial probability distribution has p = .20 and n = 100.
AleksAgata [21]

Answer:

Mean = 0.2(100) = 20

Variance = 0.2×0.8×100 = 16

Standard deviation = 4

Yes, np > 5 & nq > 5

3 0
3 years ago
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professor190 [17]
Y=20x because if it travels 40 in 2 seconds that means in 1 second it traveled 20 so every second the elevator travels 20 so y is the total distance and X is the amount of seconds
5 0
3 years ago
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Ben claims that 12 is a factor of 24. how can you check whether he is correct
AlekseyPX
Take 12 from 24 and if the the answer is 12 then it's a factor.
7 0
3 years ago
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