Answers
Answer:“To get the average rate of change between 2 points...” To get the average rate of change between 2 points, plug in their coordinate values into the equation (y2-y1)/(x2-x1). The values come from the points (x1,y1) and (x2,y2).
Step-by-step explanation:
Related Questions
Find m2 KLM ifm/NLM = 950
and mKIN = 46°.
Answers
Answer:
46
Step-by-step explanation:
What is the measure of
Answers
Answer:
9
Step-by-step explanation:
3x+18+9x-27=99
12x-9=99
12x=108
x=9
46 POINTS! BRAINLIEST! PLSSS HELP! ONLY ANSWER IF UR GUD AT MATH!
National Park Animal Populations
You are studying the populations of three animals in a national park. Below are the data sets for the animal populations. Circle the park that you chose:
Yellowstone
x Year
y1 Population 1, Grizzly Bears
(per square mile)
y2 Population 2, Pocket Gophers
(per square mile)
y3 Population 3, Osprey
(per square mile)
x y1 y2 y3
0 4.0 4.0 4.0
1 4.5 4.5 5.8
2 5.0 5.3 7.2
3 5.5 6.4 8.2
4 6.0 8.1 8.8
5 6.5 10.6 9.0
8 8.0 28.6 7.2
10 9.0 60.7 4.0
Everglades
x Year
y1 Population 1, American Alligator
(per square mile)
y2 Population 2, Marsh Rabbit
(per square mile)
y3 Population 3, Florida Panther
(per square mile)
x y1 y2 y3
0 6.0 6.0 6.0
1 6.5 6.5 7.8
2 7.0 7.3 9.0
3 7.5 8.4 9.8
4 8.0 10.1 10.0
5 8.5 12.6 9.8
8 10.0 30.6 6.0
10 11.0 62.7 1.0
Make Sense of the Problem
What do you want to find out?
Analyze the Data
Population 1 (y1): ______________________________ (Write the animal species' name.)
Answer the following questions about the growth function of population 1:
1. Is population 1 increasing or decreasing? (0.5 point)
2. What is the rate of change between year 0 and year 1 for population 1? What is it between year 5 and year 10? Include calculations in your answer. (2 points)
3. Predict the average rate of change from year 5 to year 6 for population 1. Use the average rate of change you found in question 2 in your prediction. (1 point)
4. What type of function best models the growth for population 1? Give a reason for your answer. (1 point)
Population 2 (y2): ______________________________ (Write the animal species' name.)
Answer the following questions about the growth function of population 2:
5. What is the maximum population per square mile during the first 10 years for population 2? (0.5 point)
6. What is the average rate of change for population 2 between years 5 and 10 (x = 5 to x = 10)? (1 point)
7. The average rate of change for population 2 changes by a common ratio (multiplication) of 1.5 each year. What type of function best models this growth? (1 point)
8. Estimate the average rate of change from year 5 to year 6 for population 2. Remember, the average rate of change for this population changes by a ratio of 1.5 each year. Show your work. HINT: First find the average rate of change from year 4 to year 5. (3 points)
Population 3 (y3): ______________________________ (Write the animal species' name.)
Answer the following questions about the growth function of population 3:
9. What is the maximum population per square mile during the first 10 years for population 3? In what year did this occur? (1 point)
10. What is the average rate of change for population 3 between years 5 and 10 (x = 5 to x = 10)? Show your work. Identify the change as an increase or a decrease. (2 points)
11. What type of function best models the growth for population 3? Give a reason for your answer. (1 point)
12. Use the graph provided. When do all three populations contain the same number of animals? (1 point)
13. Use the following graphs to verify your work on this question.
A. Estimate the average rate of change from year 5 to year 8 for population 3. Show your work. (2 points)
B. Estimate the average rate of change from year 8 to year 10 for population 3. Show your work. (2 points)
C. Based on the answers to Parts A and B, estimate the number of animals in population 3 in year 15, and give a reason for your estimate. (1 point)
Answers
Yellowstone
What do you want to find out?
-What type of function best models the population growth for each species
Population 1 (y1):
Grizzly Bears
1. Increasing
2. (4.5-4.0)/(1-0) =0.5
3. 0.5. The rate of change between year 5 to year 6 is the same as that between year 0 to year 1.
4. Linear
Population 2 (y2):
Pocket Gophers
5. 60.7 population per square mile
6. (60.7-10.6)/(10-5) =50.1/5 =10.02
7. Exponential
8. From year 4 to year 5, (10.6-8.1)/(5-4) =2.5
The estimated rate of change from year 5 to year 6:
2.5 x 1.5 =3.75
Population 3 (y3):
Osprey
9. 9 population per square mile. This occurred in year 5.
10. (4-9)/(10-5) =-5/5 =-1
This is a decrease
11. Quadratic, the numbers increase as well as decrease.
12. Circle the point where x=0 (the point where the three lines intercept)
The initial point, where x=0, y1,y2,y3 =4
13. A. (7.2-9)/(8-5) =-1.8/3 =-0.6
B. (4-7.2)/(10-8) =-3.2/2 =-1.6
C. (-1.6)-(-0.6)/(10-5) =-0.2
the formula is
-0.2*(x^2)+2x+4
Substituting x with 15,
-0.2*(15^2)+2(15)+4
=-45+30+4
=-11 population per square mile
Answer:
i was wondering and it wont let me comment- did u use any answers from the person who answered or are they all yours?
Step-by-step explanation:
The graph below shows a dilation. Jacky says that the original image was enlarged, but Juan thinks the original image was reduced. Who is correct? How do you know?
Answers
Answer:
Jacky is correct
Step-by-step explanation:
If you look closely, There's another point A which an apostrophe. (A')
This normally means that this is point A after a dilation was made.
The image got bigger.
Answer this problem
-3+(-2)
Answers
Answer:
-5
Explaination:
Because -3-2 is -5.
Look at the following graph and determine the slope of the line. AY 10 7 5 3 2 1 х 1 2 3 4 5 6 7 8 9 8 9 10
Answers
Answer:
I believe the slope is 2/3.
(10 Points) Question In Picture:
Answers
Answer:
10. you're welcome, good Luckk!
By considering the discriminant, find the
value of the constant p such that the
following equation has equal/repeated
solutions.
4x2 + 8x + p = 0
Answers
Answer:
p = 4Step-by-step explanation:
A quadratic equation has equal/repeated solutions when a discriminant (Δ) is equal 0.
The formula of a discriminant (Δ) of equation
[tex]ax^2+bx+c=0\\\\\Delta=b^2-4ac[/tex]
We have the equation
[tex]4x^2+8x+p=0\to a=4;\ b=8;\ c=p[/tex]
substitute
[tex]\Delta=8^2-4\cdot4\cdot p=64-16p\\\\\Delta=0\iff64-16p=0[/tex]
subtract 64 from both sides
[tex]-16p=-64[/tex]
divide both sides by (-16)
[tex]\dfrac{-16p}{-16}=\dfrac{-64}{-16}\\\\p=4[/tex]
-0.8 x +40 - 8x -35 i need help ASAP
Answers
Answer:
-8.8x + 5
Step-by-step explanation:
See the attached picture.
Hope this helps!!!
The value of x is 0.57 in the given expression -0.8 x +40 - 8x -35
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is -0.8 x +40 - 8x -35
Minus zero point eight times of x plus forty minus eight times of x minus thirty five
-0.8 x +40 - 8x -35
Add the like terms
-0.8x-8x+40-35
-8.8x+5
Isolate the variable x
-8.8x=-5
Divide both sides by 8.8
x=5/8.8
x=0.57
Hence, the value of x is 0.57 in the given expression -0.8 x +40 - 8x -35
To learn more on Expressions click:
https://brainly.com/question/14083225
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thir is a sail at the store for 4 bags of chips are $11.96 at this rate what is the cost of 9 bags
Answers
Answer:
26.91
Step-by-step explanation: 11.96/4 is 2.99. so that means 1=2.99 and soon so just multiple 9 by 2.99 and you get 26.91
Question 5
3 pts
In 1995, you bought a baseball card for $50 that you expect to increase in value 5% each
year for the next 10 years. Write an exponential growth equation
and
estimate the value of the baseball card in 2002
Answers
Solve a = d+c/b for d
Answers
Answer: d = a - c/b
Plz mark brainliest:)
Solve for k.
4.5 + 1.5k = 18 - 3k
Answers
Answer:
k = 3
Step-by-step explanation:
Given
4.5 + 1.5k = 18 - 3k ( add 3k to both sides )
4.5 + 4.5k = 18 ( subtract 4.5 from both sides )
4.5k = 13.5 ( divide both sides by 4.5 )
k = 3
Answer:
[tex]k=3[/tex]
Step-by-step explanation:
[tex]4.5+1.5k=18-3k[/tex]
Subtract 4.5 to both sides
[tex]15k=13.5-3k[/tex]
Add 3k to both sides
[tex]4.5k=13.5[/tex]
Divide both sides by 4.5 to get k alone
[tex]\frac{4.5k}{4.5} =\frac{13.5}{4.5}[/tex]
[tex]k=3[/tex]
Hope this helps can pls do mark me brainliest:)
If a system of linear equations has the unique solution (2, -3), then its graph consists of what?
•parallel lines
•lines that intersect at a single point
•identical lines
•a y-intercept at -3
Answers
Answer: B - lines that intersect at a single point
Step-by-step explanation: Just took a test
3/4 + 1/6z = 35/4 solve
Answers
Answer:
z = 48
Step-by-step explanation:
Given
[tex]\frac{3}{4}[/tex] + [tex]\frac{1}{6}[/tex] z = [tex]\frac{35}{4}[/tex]
Multiply through by 12 ( the LCM of 4 and 6 )
9 + 2z = 105 ( subtract 9 from both sides )
2z = 96 ( divide both sides by 2 )
z = 48
The function h(t) = 150 – 9t represents the height of a ball dropped from 150 feet after t seconds. What will the height of the ball be after 1.4 seconds?
Answers
Answer:
I'm so sorry I can't help
I dont have a question anymmore lol k thanks
Answers
If a polynomial function f(x) has roots 4 - 13i and 5, what must be a factor of f(x)?
(x + (13- 41)
(x - (13 + 41))
(x + (4 + 131)
O (x -(4+131)
Answers
Answer:
just took the test and it's D on edge
Step-by-step explanation:
The required factor of polynomial function f(x) is (x - 4 + 13i) . Option D
Polynomial function f(x) has roots 4 - 13i and 5.
What must be a factor of f(x) is to determined.
A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the quadratic equation, cubic equation, etc. ax+b is a polynomial.
Since the root of the equation is given 5, 4 - 13i.
Now the factors can be given as (x - a)(x - b) for the polynomial function.
Implies (x - 5) and (x - (4-13i))
(x - 5) and (x -4 + 13i) is the factor of the required polynomial function that has roots 4 - 13i and 5.
Thus, The required factor of polynomial function f(x) is (x - 4 + 13i) .
Learn more about polynomial function here:
https://brainly.com/question/12976257
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Li wants to add these items to her suitcase: a hairdryer (1.25 lb), a hand-held video game (0.6 lb), an extra video game (0.25 lb), and a music player (0.4 lb). Using the inequality x Less than or equal to 2.25, can she add all these items to the suitcase? If not, what could be left out to be closest to the maximum weight allowed? Explain.
Answers
Answer:
She will leave an extra video game which weighs 0.25lb
Step-by-step explanation:
Li wants to add these items to her suitcase: a hairdryer (1.25 lb), a hand-held video game (0.6 lb), an extra video game (0.25 lb), and a music player (0.4 lb). Using the inequality x ≤ 2.25, can she add all these items to the suitcase? If not, what could be left out to be closest to the maximum weight allowed?
Solution:
Weight of the items
hairdryer = 1.25 lb
hand-held video game = 0.6 lb
an extra video game = 0.25 lb music player = 0.4 lb
The total weight of the items
= 1.25lb + 0.25lb + 0.6lb + 0.4lb
= 2.5 lb.
Total weight - required weight
= 2.5lb - 2.25lb
= 0.25lb
2.5lb is 0.25lb greater than 2.25lb
Therefore, not all items can be added.
She has to leave out an item equivalent to 0.25lb
Item equivalent to 0.25lb is the extra video game
If Li leaves out the extra game, which weighs 0.25 lb, she’d have the maximum weight allowed.
Answer:
The total weight of the items is 1.25 + 0.25 + 0.6 + 0.4 = 2.5 lb. 2.5 is 0.25 greater than 2.25, so not all the items can be added. If Li leaves out the extra game, which weighs 0.25 lb, she’d have the greatest possible weight allowed.
Step-by-step explanation:
Explain, using complete sentences, how a Venn Diagram could be used as a prewriting strategy to compare and contrast stocks and bonds.
Answers
A Venn diagram is helpful because it allows who ever using it easily compare and contrast and find what they have in common easily.
Select True or False for each statement.
A.16.302 rounded to the nearest whole number is 16 feet per second.
Select True or False for each statement.
16.302 rounded to the nearest whole number is 16 feet per second.
16.302 rounded to the nearest tenth is 16.3.
16.302 rounded to the nearest hundredth is 16.31.
16.302 rounded to the nearest tenth is 16.3.
C.16.302 rounded to the nearest hundredth is 16.31.
Answers
Answer:
True
True
False
What is the solution?
-6x - 1 =23
Answers
Answer:
X=-4
Step-by-step explanation:
the first thing you do is add 1 to both sides to make the variable be alone
-6x=24
now divide 6 on both sides the variable cancels out and your left with 24/-6
so your answer is -4
The graph shows the cost of purchasing T-shirts. Find the constant rate of change for the graph. Then explain what points (0,0) and (1,9) represent
Answers
Answer:
See below
Step-by-step explanation:
As per the attached graph we observe that the constant rate of change is 9 as each step of horizontal change corresponds to 9 steps of vertical change
It is found as the division below:
(9-0)/(1-0) = 9/1 = 9Point (0, 0) indicates the start point
Point (1, 9) indicates the cost of 1 t-shirt
As to the attachment graph ;
we observed that the constant rate is 9each step of horizontal change correspond to 9 steps of vertical changeNow,
according to the question
it is found as the division below ;
(9-0)/(1-0)=9/1 = 9the point which is indicating the starting point ;
(0,0)the point which indicate the cost of one t-shirt ;
(1,9)how do I get the equation ?
Answers
Answer:
you get the equation by following the given patterns. y=2×+4
Find the slope when give. the following points : (1,6) and (3,-4)
Answers
Answer:
y = -5x + 11
Step-by-step explanation:
Slope (m) =
ΔY
ΔX=
-5
1
= -5
θ =
arctan( ΔY ) + 360°
ΔX
= 281.30993247402°
ΔX = 3 – 1 = 2
ΔY = -4 – 6 = -10
Distance (d) = √ΔX2 + ΔY2 = √104 = 10.198039027186
(PLEASE HELP!) The probability of drawing a pink marble from a bag containing these marbles is 3/10.
If you replace the marble each time, predict how many times a pink marble will be chosen out of 100 draws.
Answers
Answer:
30
Step-by-step explanation:
The mean is equal to the number of trials times the probability.
x = (3/10) (100)
x = 30
We expect to draw a pink marble 30 times.
How many terms are in the expression below?
4xy + 3y - 2+ 2y - xy
Answers
Answer:
3
Step-by-step explanation:
you have the single numalrial term, you have the x terms, and the y terms
Kaylee bought 4 chicken wings for $8. What was the cost of the wings in dollars per wing?
Answers
Answer:
2$
Step-by-step explanation:
2 x 4 = 8
hope this helps
Answer:
The answer to this question is that: each wing was $2
Step-by-step explanation:
The reason for this is because, you take the amount that she paid and divided that by the amount of wings that she bought.
The perimeter of a rectangular field is 358 m.
If the width of the field is 84 m, what is its length?
Answers
Answer:
95m
Step-by-step explanation:
So to work this out you times 84 by 2 which is 168 (84×2) and then take away 168 from 358 which is 190 (358-168). Then divide 190 by 2 which is 95 (which is the the length/Answer)
(84+84+95+95=358)
Which of the following is equivalent to the complex number i^54?
Answers
Answer:
c) - 1Step-by-step explanation:
i^54 = (i^2)^27 =(-1)^27 = -1Correct option is c)
[tex] \huge \bf{explanation}[/tex]
[tex] {i}^{54} [/tex]
=>( i^2)^24
=> (-1)^27
=> -1