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.

Answers

Answer 1

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.


Related Questions

What is the point-slope form of an equation for a line that passes through the point (5, –5) with the slope of 2?

Answers

Answer:

y-5=2(x+5)

Step-by-step explanation:

Find the median of the set of numbers: 100, 200, 450, 29, 1029, 300 and 2001. ​

Answers

Answer: The median is: 300

Hope this helped!

sandy is having a thanksgiving feast for her family of 24. she is deciding between these two options. Help please which one is better and why . Due in three hours!!!

Answers

Answer:

option b

Step-by-step explanation:

could u help me please?

Answers

Answer: the answer is b but make sure

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

D is false. If -7,3 was an answer the equation would look like this

y+3=-2(x+7)

Have a nice day,

PumpkinSpice1

what does 28-8 represent?

Answers

Step-by-step explanation:

subtraction if that wut u askim

75 000 in standard form

Answers

Answer:

7.5×10^4

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

Hope this helps <3

Answer: 7.5

Step-by-step explanation:

(a2 - b2)/(2 + d3)
a=6
b=4
d= 1 over 2
one of the answers is
A. 28.17
B. 13.18
C. 28.47
D. 10.125
E. 1.975
F. 9.4118

Answers

Answer:

28.47

Step-by-step explanation:

Answer:

F

Step-by-step explanation:

Given

[tex]\frac{a^2-b^2}{2+d^3}[/tex] ← substitute given values into the expression

= [tex]\frac{6^2-4^2}{2+(\frac{1}{2}) ^{3} }[/tex]

= [tex]\frac{36-16}{2+\frac{1}{8} }[/tex]

= [tex]\frac{20}{\frac{17}{8} }[/tex]

= [tex]\frac{20}{2.125}[/tex]

≈ 9.4118 ( to 4 dec. places ) → F

( 2 + 2i )^20=
(a) 2^20
(b) 2^30
(c) 2^20i
(d) -2^30​

Answers

24

34

22i

-34

yup your welcome

The sum of three numbers is 123. The third number is 3 times the second. The second number is 8 less than the first. What
are the numbers?

Answers

Answer
Do I show my work?
Explanation

HELP ASAP WILL GIVE BRAINLIEST

Answers

Answer:

right triangles only

Step-by-step explanation:

3. Three of the following statements are true.
Which one is NOT true?
1-12] > 1
10> -4
120 >1-101
61-3

Answers

Answer:

The correct answer is A or option 1

Consider the function f(x) = x(x-4.
If the point (2+c,y) is on the graph of f(x), the following point will also be on the graph of f(x):
A) (c-2,y)
B) (2-c,y)

Answers

Step-by-step explanation:

point (c-2, y) lies on the graph of f(x)=x(x-4)f(x)=x(x−4) .

Step-by-step explanation:

Given function f(x)=x(x-4)f(x)=x(x−4) also point (2+ c,y) is on the graph of f(x) ,

We have to find out of given point which point will also be on the graph of f(x).

Consider the given function f(x)=x(x-4)f(x)=x(x−4)

f(x)=x(x-4)f(x)=x(x−4) can be rewritten f(x)=x^2-4xf(x)=x

2

−4x

Now we substitute the given point (2+ c, y) in the function given ,

we have,

f(x)=y=x(x-4)f(x)=y=x(x−4)

put for x as 2+c , we have,

\Rightarrow y=(2+c)(2+c-4)⇒y=(2+c)(2+c−4)

Solve, we get

\Rightarrow y=(2+c)(c-2)⇒y=(2+c)(c−2)

Thus, both point (2+c, y) and (c-2, y) lies on the graph of f(x)=x(x-4)f(x)=x(x−4)

Thus, option (1) is correct.

Bonus (3 points)
Graph the parabola using the indicated information (you may NOT use decimals) You must show all work to
receive credit.

y = 2^2 + 17x +30

a. equation of the axis of symmetry

b. coordinates of the vertex

c. calculate the coordinates of the x-intercepts

Answers

Answer:

c

Step-by-step explanation:

Which of the following is equivalent to logb sqrt 57/74

Answers

What do u mean I need to see a picture

What is the slope of the line that passes through the points (5,-11) and (-9,17)?

Answers

Answer:

-2

Step-by-step explanation:

m=y2-y1

    x2-x1

Answer:

-2=slope

Step-by-step explanation:

17--11=28

-9-5= -14

28/-14= -2

In triangle ABC, the measure of angle A is 48° and the measure of angle C is 24°. What type of triangle is triangle ABC?

Answers

Answer:108 degrees

Step-by-step explanation:

Answer:

Scalene triangle

Step-by-step explanation:

24+48= 72

180-72=108

All three angles are different meaning that the triangle must be a scalene triangle.

A hungry Emperor penguin was swimming 21 feet below sea level. It swam up 9 feet to eat a fish. What is the position of the penguin now relative to sea level?

Answers

Answer:

Step-by-step explanation:

21 feet below is written as -21

9 feet up is written as +9

So we have -21 + 9 = -12 or 12 feet below sea level

someone travels 200 miles in 4 hours how many miles per second

Answers

Answer:

0.01

Step-by-step explanation:

they are going 0.0138889 per second

Question 25
2 pts
Seth's father is thinking of buying his son a summer movie pass for $30 dollars.
With the pass, matinees cost $3 each. Without the pass each movie is normally
$8. If Seth plans to go to 30 movies this summer how much money would he
save? ONLY PUT THE NUMBER, NO DOLLAR SIGN.

Answers

Answer:

120

Step-by-step explanation:

First, you have to calculate the money that Seth would spent if he goes to 30 movies if his father gets the summer movie pass by adding up the cost of the pass plus the result of multiplying the cost per movie with the pass for the number of movies:

30+(3*30)=30+90=120

Second, you need to calculate the money that Seth would spent if he goes to 30 movies without the pass by multiplying the normal price per movie for the number of movies:

8*30=240

Third, you need to find the difference between both costs:

240-120=120

According to this, the answer is that if Seth plans to go to 30 movies this summer, he would save 120.

A formal proof uses all of the following components except what?

A.) theorems
B.) a set of examples
C.) geometry rules
D.) algebra rules

Answers

I think it is c or d but i would go with c for sure

Answer:

D.) algebra rules

Step-by-step explanation:

Had it on the quiz

logbase2 ²/log base 2 ⁴​

Answers

Answer:

Please use LaTeX I Assure you it is great

Step-by-step explanation:

Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

[tex]\frac{log 2^{2} }{log 2^{4} } =\frac{2 log ~2}{4 log~2} =\frac{2}{4} =\frac{1}{2}[/tex]

giving brainliest h e l p

Answers

Answer:

She can buy 1 bullitin board.

Step-by-step explanation:

1347 divided by 75 is 17.96

I HOPE THIS HELPS. EVEN THIS IS NOT THE ANSWER, I HOPE IT HELPS YOU FIND THE ANSWER.

she can buy one board.. <33

Compute the sum (Worth 15 Points!)

[tex]\[51 \cdot 23 + 49\cdot (-11)+49 \cdot 11 + 51 \cdot (-23).\][/tex]

Answers

Answer:

268.

Step-by-step explanation:

So we have 51*23+49+49*11*-11+51*-23

2(51+23+49+11) ( the 2 negatives cancel out)

So, 51+23+49+11 is 134.

2(134)

or 268.

Hope this answers your question!!!

Answer:

268 :)

Step-by-step explanation:

Find the product of the binomials,
(x - 3)(x + 2) (x + 4) =

Answers

Answer:

Step-by-step explanation:

(x - 3)(x + 2) (x + 4) =

x^3+3x^2-10x-24

Answer:

x^3+3x^2-10x-24

Step-by-step explanation:

(x - 3)(x + 2) (x + 4)

multiply the first two together first

(x^2+2x-3x-6)(x+4) add like terms first

(x^2-x-6)(x+4)

then multiply

x^3+4x^2-x^2-4x-6x-24

add like terms

x^3+3x^2-10x-24

PLEASE HELP! 80 POINTS AND BRAINLIEST TO FIRST ANSWER!
A rectangular pen is constructed with 300m of fencing against a barn wall. What dimensions give the maximum area?

Answers

I want to say a 100m on each side.

since it’s against a barn wall, then there would be three sides left. But I could be wrong. ¯\_(ツ)_/¯

Please answer this question

Answers

Answer:

5 units right and 3 units up

Step-by-step explanation:

A shift 5 units to the right, and then a shift 3 units up.

k = +3

+k shifts function up; -k shifts function down,so 3 units up

h = -5

x+h shifts function left; x-h shifts function right, so 5 units right

The graph of a system of equations is shown.


What is the solution to the system of equations in the graph?

Please Help

Answers

Answer:

66

Step-by-step explanation:

because if you ad 60 and 6 it makes yes

Which angles are vertical angles?

Answers

I think NOQ POL.................................

What is the value of x in the figure below? In this diagram, ABD ~ CAD. А с B 13 D3 A. 16 B. 208 C. 39 D. 48 E. 13/16 F. 139​

Answers

F. Square root of 39

Step-by-step explanation:

Value of [tex]\boldsymbol{x}[/tex] is [tex]\boldsymbol{\sqrt{39}}[/tex] units.

Option F. is correct.

Define similar triangles.

Two triangles are said to be similar if their sides are proportional and their corresponding angles are equal.

[tex]\bigtriangleup ABD \sim \bigtriangleup CAD[/tex]

[tex]\boldsymbol{\frac{AD}{CD}=\frac{BD}{AD} }[/tex]

  [tex]\frac{x}{13}=\frac{3}{x}[/tex]

  [tex]x^2=39[/tex]

   [tex]x=\sqrt{39}[/tex] units.

Value of [tex]\boldsymbol{x}[/tex] is [tex]\boldsymbol{\sqrt{39}}[/tex] units.

Option F. is correct.

Find out more information about triangle here:

https://brainly.com/question/2773823?referrer=searchResults

Show that x + y : x - y= 3 : 2

Answers

Answer:

x + y : x - y = (5/2+1/2) : (5/2-1/2)

x + y : x - y = 3 : 2

Therefore,  x + y : x - y= 3 : 2 is proved.

Step-by-step explanation:

Given

x + y : x - y = 3 : 2

As

[tex]x + y = 3[/tex]

[tex]x - y = 2[/tex]

Solving to find x and y

[tex]\begin{bmatrix}x+y=3\\ x-y=2\end{bmatrix}[/tex]

[tex]x-y=2[/tex]

[tex]-[/tex]

[tex]\underline{x+y=3}[/tex]

[tex]-2y=-1[/tex]

[tex]\begin{bmatrix}x+y=3\\ -2y=-1\end{bmatrix}[/tex]

solve for y

[tex]-2y=-1[/tex]

Divide both sides by 2

[tex]\frac{-2y}{-2}=\frac{-1}{-2}[/tex]

[tex]y=\frac{1}{2}[/tex]

[tex]\mathrm{For\:}x+y=3\mathrm{\:plug\:in\:}y=\frac{1}{2}[/tex]

[tex]x+\frac{1}{2}=3[/tex]

[tex]x+\frac{1}{2}-\frac{1}{2}=3-\frac{1}{2}[/tex]

[tex]x=\frac{5}{2}[/tex]

so

[tex]x=\frac{5}{2},\:y=\frac{1}{2}[/tex]

Thus,

x + y : x - y = (5/2+1/2) : (5/2-1/2)

x + y : x - y = 3 : 2

Therefore,  x + y : x - y= 3 : 2 is proved.

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