Use quadratic regression to find the equation of the parabola going through these 3 points.
(-5,13) (0,8) (2,48)
y=[?]x^2+[?]x+[?]
Answers
Answer:
3 + 14 + 8
Step-by-step explanation:
7a=21
a=21
The equation of the parabola that goes through the three points is:
y = 3x² + 14x + 8
The points are given as:
(-5,13), (0,8), (2,48)
To find the equation of the parabola that goes through the given three points (-5,13), (0,8), and (2,48) using quadratic regression, we need to fit a quadratic equation of the form y = ax² + bx + c to these data points.
Using the three points, we can set up a system of equations:
13 = a(-5)² + b(-5) + c
8 = a(0)² + b(0) + c
48 = a(2)² + b(2) + c
Simplifying these equations, we have:
25a - 5b + c = 13
c = 8
4a + 2b + c = 48
Solving this system of equations, we find that a = 3 and b = 14, and c = 8.
Therefore, the equation of the parabola that goes through the three points is:
y = 3x² + 14x + 8
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Related Questions
Someone please help me
Answers
Answer:
y = -x + 9
Step-by-step explanation:
Since the line is going down, you can safely assume that it is a negative slope function. The y-intercept is at (0, 9), so your final slope function should be y = -x + 9.
MATH WORK PLEASE HELP GIVING MANY POINTS ONLY DO THE ONES IN PURPLE!!
Answers
Answer:
Step-by-step explanation:
8,3,4,6,7,2,5,
The ratio of wins to losses for the spartan football team is 3:5. If this trend continues and they play a total of 16 games, how many can they expect to win?
Answers
Answer:
10 games
Step-by-step explanation:
The team can expect to win 6 matches.
What is ratio?A ratio is a way to show a relationship or compare two numbers of the same kind. We use ratios to compare things of the same type.
Given that, The ratio of wins to losses for the spartan football team is 3:5. and this trend continues, they play a total of 16 games,
Let they won 3k games and loose 5k games.
Then,
3k+5k = 16
8k = 16
k = 2
Therefore, they lose 5·2 = 10 matches and won 3·2 = 6 matches.
Hence, the team can expect to win 6 matches.
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In a survey of school students, 64 had taken mathematics course, 94 had taken chemistry course, 58 had taken physics course, 28 had taken mathematics and physics, 26 had taken mathematics and chemistry, 22 had taken chemistry and physics course, and 14 had taken all the three courses. Find how many had taken one course only by using Venn diagram.
Answers
Answer:
ask again
Step-by-step explanation:
The number of students taken only one course is 106
What is Venn diagram?A Venn diagram exists as an illustration that utilizes circles to illustrate the relationships among things or finite groups of things. Circles that overlap include a commonality while circles that do not overlap do not share those traits. Venn diagrams permit visually illustrating the similarities and contrasts between two concepts.
Let M =sets of students who had taken mathematics
C= sets of students who had taken chemistry
P= represent sets of students who had taken physics
From the given information, we have
n(M) = 64 , n(C) = 94, n(P) = 58,
n(MnP) = 28, n(MnC) = 26, n(CnP) = 22
n(MnCnP) = 14
No. of students who had taken only Math :
= n(M) - [n(MnP) + n(MnC) - n(MnCnP)]
= 64 - [28+26-14]
= 64 - 40
= 24
No. of students who had taken only Chemistry
= n(C) - [n(MnC) + n(CnP) - n(MnCnP)]
= 94 - [26+22-14]
= 94 - 34
= 60
No. of students who had taken only Physics
= n(P) - [n(MnP) + n(CnP) - n(MnCnP)]
= 58 - [28+22-14]
= 58 - 36
= 22
Total no. of students who had taken only one course
= 24 + 60 + 22
= 106
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PLZ I NEED ANSWERS. THIS IS MIDDLE SCHOOL LEVEL NOT COLLEGE
Select ALL the expressions that are greater than one
A: 4 Divided by 3/4
B: 1/3 Divided by 10
C: 5/6 Divided by 2/5
D: 3 1/8 Divided by 2 7/8
E: 9/7 divided by 8/7
Answers
Answer: The answers are all of the options except for B.
Step-by-step explanation:
Option A. 4/1 x 4/3 is 16/3. 16/3 > 1
Option B. 1/3 x 1/10 is 1/30. 1/30 < 1
Option C. 5/6 x 5/2 is 25/12. 25/12 > 1
Option D. 25/8 x 8/23 is 200/184. 200/184 > 1
Option E. 9/7 x 7/8 is 63/56. 63/56 > 1
Hence, the correct answer is option A, C, D, and E.
2) How can 4(3 + 8) be rewritten using the distributive property?
O 12 + 8
O 3 +32
O 12 +32
O 43 + 48
Answers
= (4 * 3) + (4 * 8)
= 12 + 32
= 44
So, the answer to this question is the third option.
Glad I could help and have a fantastic day!
Also, can you please mark my answer as the brainliest answer?
Thanks.
If a football player passes a football from 4 feet off the ground with an initial velocity of 36 feet per second, how long will it take the football to hit the ground? Use the equation h =
-161 +62 + 4. Round your answer to the nearest hundredth.
Answers
Answer: 100 ft
Step-by-step explanation:
The difference between 16.03 and 7.385 is …….
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Helppppp!! Pleaseeeee
Answers
If x = 7 and y = 4, then x + 2y =
Answers
x + 2y = ?
(7) + 2(4) = ?
7 + 8 = 15
Given that if x = 7 and y = 4, the value of x + 2y = 15
Given the following:
x = 7
y = 4
Required:
Find the value of x + 2y.
Therefore, substitute x = 7 and y = 4 into the algebraic expression, x + 2y.
Thus, plug in the values into the expression:(7) + 2(4) = 7 + 8
x + 2y = 15
Therefore, given that if x = 7 and y = 4, the value of x + 2y = 15
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All radical expressions that are equivalent to 3 2/5
Answers
Answer:
15
Step-by-step explanation:
√15 (3√5)^2 3√5^2 3√10
which expression is equivalent to 3(7v)
Answers
The Blue Streak Taxi Company charges each customer $3.00 plus $0.22 a mile, Which equation could be used to find the number of miles m the cab traveled if the fare was $8.75?
Answers
Answer:
3.00+0.22m=8.75
Step-by-step explanation:
Help because this is dificulty to me
Answers
Answer:
false false true false ez
Miss Adams tested three cameras last weekend. The table below shows the number of pictures
taken and time it took.
camera 1
camera 2
camera 3
Number of pics
30
72
21
Time in sec.
5
8
3
What is the unit rate for each camera.
pics per second
Cam 1
Cam 2
Cam 3
6
9
7
Which camera was the fastest?
I
Answers
The respective unit rates are 6,9,7
What is the unit rate?Unit rate is the ratio of two different units, with denominator as 1. For example, kilometer/hour, meter/sec, miles/hour, salary/month, etc. Arithmetic is probably the most basic and ancient branch of mathematics and is quite commonly used in our day-to-day life.
Given here: Cam 1 clicks 30 pics in 5 secs
∴ Unit rate of Cam 1= 30/5
=6 pics/sec
Similarly we can find
Unit rate of Cam 2=9 pics/sec
Unit rate of Cam 3= 7 pics/sec
Hence, The respective unit rates are 6,9,7
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The larger of two numbers is 10 less than twice the smaller number. If the sum of the two
numbers is 38, find the two numbers.
Answers
Answer:
Let the larger number = y and the smaller number = x.
The largest number is 10 less than twice the smaller number. Remember that less than means subtract the 10 from the other amount while twice means multiply by two. Therefore,
y = 2x - 10
The sum of the two numbers is 38. Remember sum means add the two numbers to get their result. Therefore,
x + y = 38
Since y = 2x - 10, we rewrite the lower equation as:
x + (2x - 10) = 38
Solving:
3x - 10 = 38
3x = 48
x = 16
The lesser number is 16 and the greater number is 2(16) - 10 or 22.
Convert to degrees −31π/36
Answers
Answer:
−31π/36 = -15.5°
Step-by-step explanation:
We need to convert −31π/36 to degrees.
The conversion from radian to degrees is calculated as follows :
[tex]\text{Degrees}=\dfrac{180}{\pi }\times \text{radian}\\\\=\dfrac{180}{\pi}\times \dfrac{-31\pi }{360}\\\\=-15.5^{\circ}[/tex]
So, −31π/36 is equal to -15.5 degrees.
Please help me on this questionnnnnn
Answers
n + 5 = 4 + 4
n + 5 = 8
n = 3
-- the answer is the third choice.
Kim uses decals to decorate 5 cars and 2 motorbikes. She uses 2/3 of the decals on the cars and 2/5 of the remaining on the motorbikes. She has 6 decals left. How many decals does Kim use on each car?
Answers
Answer:
I decal per car and motor bike
Step-by-step explanation:
(c) There are seven days in a week. How many of them start with the
letter 'T? What fractions of the days start with the letter 'T’?
Answers
Step-by-step explanation:
No of days in 1 week = 7
No. of days starting with T letter = 2
Now
Fraction of the days starting with the letter T
= 2 / 7
Hope it will help :)
Which polynomial is represented by the algebra tiles?
x2 – x – 4 x2 – x + 4 3x2 – 5x + 8 3x2 – 5x – 8
Answers
Answer:
x2 – x + 4
Step-by-step explanation:
Just took the test on edg
A car uses a litre of petrol to travel 4km. How many litres will it use to travel 32 kilometres.
Answers
Given that,
A car uses a litre of petrol to travel 4 km.
To find,
How many litres will it use to travel 32 kilometres.
Solution,
We have,
1 litre = 4 km
or
1 km = (1/4) litre
Let it will use x litres to travel 32 km.
32 km = (32/4) litres
= 8 litres
Hence, 8 litres it will use to travel 32 km.
SOMEONEEEEE PLEASE HELPPPPP
Answers
Answer:
D: route 4
Step-by-step explanation:
route 4 is 1 hour and 15 minutes while every other is greater than 1 hour and 15 mins
Answer:
Route 4
it will take 1 hr 15 min
Step-by-step explanation:
Factor 7x3y4−7x2y5 completely.
A) 7xy(x^2y^3−xy^4)
B) 7x^2y^4(x−y)
C) 7(x^3y^4−x^2y^5)
D) x^2y^4(7x−7y)
Answers
Answer:
B
Step-by-step explanation:
when we factor completely, we take a look at what is the biggest common factor of 7x³y⁴ and 7x²y⁵. In this case it is 7x²y⁴.
7x³y⁴-7x²y⁵ = 7x²y⁴(x-y) which is B.
pls help me!! thank you!!
Answers
Full working out shown from step 1 to last.
follow it and you get 24 square feet as final answer. Good luck in other questions!!!
what happens to an angles measure when the angle is rotated. i will brainlist
Answers
can u pls help me with this question asap
Answers
Answer:
bro this is easy search it up online u dont have to use brainly for these type of questions but the answer is 402.39 but if u want it rounded it is 402.40
Step-by-step explanation:
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78.9 x 510/ 100 = 402.39
402.4 (to the nearest tenth)
Which of the following could be the graph of the equation y= -2x + 5? How do you know??(plz answer!!)
Answers
Answer:
The answer is c.
Step-by-step explanation:
This is because the slope is a negative, and since letter a, has a positive slope, it's out of the picture. Just by the looks of b, you can tell that the why intercept isn't 5. It looks like its y-intercept is 0. Letter d, also doesn't have a positive y-intercept so it's also out of the picture. Which leaves letter c. It has a positive slope and it looks like it has 5 as a y-intercept.
please help me 11.3 + 8.97
Answers
Answer:
20.27
Step-by-step explanation:
Answer:
20.27
Step-by-step explanation:
Which of the following is equivalent to (mn)³?
a. 3mn
b. m³n
c. mn³
d. m³n³
Answers
Answer:
Step-by-step explanation:
d is correct