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nasty-shy [4]
3 years ago
11

Write an equation in point-slope form for the line through the given point that has the given slope (-2,-7);m=-3/2

Mathematics
1 answer:
love history [14]3 years ago
8 0

For this case we have that the point-slope equation of a line is given by:

(y-y_ {0}) = m (x-x_ {0})

Where:

m: It's the slope

(x_ {0}, y_ {0}): It is a point

We have as data that:

(x_ {0}, y_ {0}): (- 2, -7)\\m = - \frac {3} {2}

We replace:

(y - (- 7)) = - \frac {3} {2} (x - (- 2))\\(y + 7) = - \frac {3} {2} (x + 2)

Answer:(y + 7) = - \frac {3} {2} (x + 2)

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What relationship does the vertex of the parabola always have with the x-intercepts?
ipn [44]

Answer:

<h3>The solutions to the equation are called the roots of the function</h3>

Step-by-step explanation:

<h3> These are the same roots that are observable as the x -intercepts of the parabola. Notice that, for parabolas with two x -intercepts, the vertex always falls between the roots.</h3>

8 0
3 years ago
In the year 2000, the population of a city was 600,000 citizens. The population increases at a rate of 1.8% per year.
Alona [7]
Y=600000(1+1.8%)^(x-2000)
So the population in 2012
Y=600,000×(1+0.018)^(2,012−2,000)
Y=743,232
6 0
2 years ago
Read 2 more answers
Seven hotdogs and four hamburgers cost $13. Four hotdogs and seven hamburgers cost $14.50. How much does one hamburger cost and
viva [34]

Answer:

hotogs=$1.50  hamburgers=$1

Step-by-step explanation:

h=hotdog b=hamburger

7h+4b=13

4h+7b=14.5

(7h+4b=13)-4b

4h+7b=14.5

 

h=-0.57b+1.86

4h+7b=14.5

8 0
3 years ago
Name the sampling method used in each of the following situations:
elixir [45]

Answer:

a) Convenient

b) Cluster

c) Stratified

d) Systematic

e) Random

Step-by-step explanation:

Samples may be classified as:

Convenient: Sample drawn from a conveniently available pool.

Random: Basically, put all the options into a hat and drawn some of them.

Systematic: Every kth element is taken. For example, you want to survey something on the street, you interview every 5th person, for example.

Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.

Stratified: Also divides the population into groups. However, then only some elements of the group are surveyed.

Situation a:

Asks all from a single group(sitting passengers), that is, convenint sample.

Situation b:

First she separates the students by row, then from each row, she chooses all students. So this is Cluster sampling.

Situation c:

The manager separates the stores by location, and then in each location, random customers are chosen. This is an example of Stratified sampling.

Situation d:

Marks for every fourth patron, that is, every 4th element. So Systematic sampling.

Situation e:

People chosen at random, so Random sampling.

6 0
3 years ago
What is 9/27 simplified
Vilka [71]
It's 1/3 which can = 0.3333...
7 0
3 years ago
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