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oksian1 [2.3K]
2 years ago
15

Nadia finds out her favorite horse family population is increasing at a constant rate. The horse family was at 24 in 2011 and is

currently at 32 in 2014. Find an equation in point slope form that models the population growth and predict the number of horses in 2020.
Mathematics
1 answer:
pogonyaev2 years ago
4 0

Answer:

The equation is p = (8/3) t + 24

In 2020, we will have about 48 horses.

Step-by-step explanation:

In 3 years  the family increased by 32 - 24 = 8.

So the  constant of proportionality = 8/3.

The required equation is p = (8/3)tx + 24

where p = the population and t is the number of years after 2011.

So in 2020 we can predict that in 2020 the number of horses

=  (8/3) * 9 + 24

= 72/3 + 24

= 24 + 24

= 48.

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Can a triangle have sides with the given lengths? Explain.
Amiraneli [1.4K]

Answer:

Option A.

Step-by-step explanation:

12 cm, 17cm, 25 cm

7 0
2 years ago
Abbie babysits on the weekends. She charges $10 for the first hour and $6 for each
Dvinal [7]

Answer:

5 hours

Step-by-step explanation:

34-10(first hour) is 24

24/6(price per additonal hour)=4

so  theres four additional hours and the one OG hour so its 5 hours total

8 0
3 years ago
Please help, I dont know how to do this​
Mrrafil [7]

Answer:

\frac{y-2}{4}

Step-by-step explanation:

Let's start by factoring everything:

\dfrac{\frac{y^2+y}{y^2-2y}}{\frac{4y+4}{y^2-4y+4}}=

\dfrac{\frac{y(y+1)}{y(y-2)}}{\frac{4(y+1)}{(y-2)^2}}=

Now, you can cancel out some terms:

\dfrac{\frac{y+1}{y-2}}{\frac{4(y+1)}{(y-2)^2}}=

Now, when you divide a fraction by another fraction, that is the same as multiplying the first fraction by the reciprocal of the second one:

\frac{y+1}{y-2}\cdot \frac{(y-2)^2)}{4(y+1)}=

\frac{y-2}{4}

Hope this helps!

4 0
3 years ago
Tricia recorded the number of pets owned by each of her classmates. these data points represent the results of her survey. 0, 3,
SOVA2 [1]

The dot plot of the data recorded by Tricia about number of pets owned by each of her classmates looks like scattered and some points are in one line.

Given number of pets owned by each of her classmates are: 0, 3, 2, 4, 1, 0, 0, 3, 2, 1, 2, 1, 1, 3, 4, 2, 0, 0, 1, 1, 1, 0, 3.

We have to create dot plot of the data given in the question.

Firstly we have to give a code to each value which represents friend of Tricia.

A dot plot is a statistical chart which have points but they are presented in dot form. Each dot shows a value .There are two common, yet different versions of the dot chart.

After giving codes the table will look like:

Friend                       Number of pets

1                                      0

2                                      3

3                                      2

4                                      4

5                                      1

6                                      0

7                                      0

8                                      3

9                                      2

10                                    1

11                                    2

12                                    1

13                                    1

14                                    3

15                                    4

16                                    2

17                                    0

18                                    0

19                                    1

20                                    1

21                                    1

22                                    0

23                                    3

Learn more about dot plot at brainly.com/question/15853311

#SPJ4

8 0
2 years ago
If you shift the quadratic parent function, f(x)=x2 , right 10 units, what is the equation of the new function?
tiny-mole [99]

Answer:

Step-by-step explanation:

The standard form of a quadratic is

y=a(x-h)^2+k where h is side to side movement (it's also the x coordinate of the vertex) and k is the up or down movement (it's also the y coordinate of the vertex). If there is no up or down movement, the k value is 0. (We don't need to worry about the value for a here; it's 1 but that doesn't change anything for us in our problem). Movement to the right is positive, so we are moving +10. Filling that into our equation:

y=(x-(+10))^2 and simplified:

y=(x-10)^2  That is the parent graph shifted 10 units to the right.

8 0
3 years ago
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