Answer:
The cubic regression that fits the given set of points is [tex]y = 2\cdot x^{3}-2\cdot x^{2} -3\cdot x + 7[/tex].
Step-by-step explanation:
Let the cubic regression be represented by the following third order polynomial:
[tex]y = a\cdot x^{3}+b\cdot x^{2}+c\cdot x + d[/tex] (1)
Where:
[tex]x[/tex] - Independent variable.
[tex]y[/tex] - Dependent variable.
[tex]a,b,c,d[/tex] - Coefficients.
By Algebra, we can determine analytically the values of all coefficients by knowing four distinct points. If we know that [tex](x_{1}, y_{1}) = (1,4)[/tex], [tex](x_{2},y_{2}) = (2,9)[/tex], [tex](x_{3}, y_{3}) = (3, 34)[/tex] and [tex](x_{4}, y_{4}) = (-2, -11)[/tex], then the system of linear equations is:
[tex]a+b+c+d = 4[/tex] (1)
[tex]8\cdot a + 4\cdot b + 2\cdot c + d = 9[/tex] (2)
[tex]27\cdot a + 9\cdot b + 3\cdot c + d = 34[/tex] (3)
[tex]-8\cdot a + 4\cdot b -2\cdot c + d = -11[/tex] (4)
The solution of the system of linear equations is: [tex]a = 2[/tex], [tex]b = -2[/tex], [tex]c = -3[/tex], [tex]d = 7[/tex]
The cubic regression that fits the given set of points is [tex]y = 2\cdot x^{3}-2\cdot x^{2} -3\cdot x + 7[/tex].
PLEAS GIVE ME FULL EXPLAINION HOW YOU GOT THAT ANSWER
Let's solve your inequality step-by-step.
−1 / 3 x + 1 / 2 < 3.5
Step 1: Subtract 1/2 from both sides.
−1 / 3 x + 1 / 2 − 1 / 2 < 3.5 − 1 / 2
−1 / 3 x < 3
Step 2: Multiply both sides by 3 / ( -1 ).
( 3 / −1 ) * ( −1 / 3 x ) < ( 3 / −1 ) * ( 3 )
<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3
Answer:
x > −9
<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3
Brainlist?
<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3
If the die is rolled 100 times, predict the number times it would land on an
even number. *
Answer:
50
Step-by-step explanation:
there are 6 numbers on a dice 3 even 3 odd you would have a 50 chance of getting even
The distance around one block in Ava's neighborhood is 3/4 mile. If Ava rides her bike around the block 5 times, how many miles does she ride
Answer:
Use the number line to help. 1. See answer. Add answer+13 pts ... 1 answer. 11 people helped. Answer: I think the answer is 3 3/4. Step-by-step explanation: 5 ...
Step-by-step explanation:
The ratio of the height to the base of a triangle is 3:4. If the base is 24 cm, what is its
area?
Answer:
height = 18 cm
Step-by-step explanation:
Let the height be 'x'
3 : 4 :: x : 24
Product of means = product of extremes
4 *x = 24 * 3
[tex]x = \frac{3 * 24}{4}\\\\x = 3 * 6\\\\x = 18[/tex]
Answer:
216cm^2
Step-by-step explanation:
If the ratio of height to base is 3:4 then
height = (3/4)*base
height = (3/4)*24cm = 18cm
Area = base*height/2 = 24cm * 18cm / 2 = 24cm * 9cm = 216cm^2
Simplify (2^-6)(5)(2^3x5)^2
Answer:
-32000x^2
Step-by-step explanation:
Answer:
-32000x^2
Step-by-step explanation:
your backyard is shaped like a rectangle and measure's 45 1/2 feet by 50 feet. you want to put a fence around your backyard. how much fence will you need?
Answer:
191 ft
Step-by-step explanation:
If it's 45.5ft x 50ft, we'll need to put fence around two 45.5ft sides and two 50ft sides.
2*45.5ft + 2*50ft = 91ft + 100ft = 191ft
PLZ RESPOND AS SOON AS POSSIBLE
What are the coordinates of point f?
A) (7,5)
B) (7,-5)
C) (-5,7)
D) (5,-7)
the coordinates of point f is B)7,-5
A ship leaves port at 8 knots (nautical miles per hour) heading N27°W. After , it makes a 90° clockwise turn to a new bearing of N63°E and travels for 1.3hr.
HELP ME I NEED THIS SO BADLY AND QUICK IF POSSIBLE
Answer:
B
Step-by-step explanation:
Which of the following equations is equivalent to S= xi?n?
On-S-xr2
S
Golf
S
On-$+$12
Answer:
umm to me its 2--%456
Step-by-step explanation:
−10 = −0.4k
this is probably easy but can someone find k
Answer: k = 25
hope this helped :)
Solve: (-6)(-7)
Divide or multiple
Answer: 42
Step-by-step explanation:
If they are in parentheses, you are going to multiply them, and when you multiply two negatives, you make a positive. which gives you 42.
5days a week 4 hours a day at $10.00 a day =?
A rectangular prism is 20 inches long, 10 inches wide, and 15 inches high What is the volume of the prism? *
Answer:
3000 in squared
Step-by-step explanation:
Basically do 20 times 10 times 15.
20*10*15=3000
Someone PLease help me
Given: A = { 1, 2, 3, 4 } , B = { 1, 3, 5, 7 } , C = { 2, 4, 6 } .
A u B =
Step-by-step explanation:
I am sure you are 100 percent Clear. You can follow me to get more answer.
Answer is in your next question.
If a system of equations has no solution, what does the graph look like?
A) intersecting lines
B) same lines
C) parallel lines
Please help
Answer:
Step-by-step explanation:
parallel lines
Answer:
C) parallel lines
Step-by-step explanation:
It does not HAVE to be parallel, but it may be.
The others would not yield no solutions
PLEASEEE HELP
Show steps too
Thank you
Answer: C. (-2, 0)
Step-by-step explanation:
5x+6y=-10 3x-2y=-6Now you need to get -2 to equal -6 so it cancels out5x+6y=-10 3(3x-2y)=3(-6)Then distribute the 35x+6y=-10 9x-6y=-18Now add the equations together14x=-28 Now solve for x: Divide both sides by 14x=-2Plug x into either equation to solve for y.3(-2)-2y=-6Distribute -2-6-2y=-6 Add 6 to both sides6 cancels out leaving: -2y=0Divide both sides by -2y=0So, the answer is (-2, 0)! Hope this helps
B
68°
A
E
D
EB
15. What is the length of CD? (Use 3.14 for $7)
a
31.68
b
29.31
23.14
17.79
Answer:
b = 29.31
Step-by-step explanation:
Given:
m<CEB = 68°
EB = radius = 15
Required:
Length of arc CD
Solution:
Length of arc CD = θ/360 × 2πr
Where,
θ = 180° - 68° = 112° (angles on a straight line)
π = 3.14
r = radius = 15
Plug in the values
Length of arc CD = 112/360 × 2 × 3.14 × 15
= 29.3066667
≈ 29.31
Pls answer this for me. How many paving stones, each 1m long and 80cm wide, are needed to cover a compound 13.6m long and 11m wide?
Answer:
187 paving stones are needed
Step-by-step explanation:
Given
Paving stone
[tex]Length = 1m; Width = 80cm[/tex]
Compound
[tex]Length = 13.6cm; Width = 11m[/tex]
Required
Number of wires to cover the compound
Area is calculated as:
[tex]Area = Length * Width[/tex]
For the paving stone, we have:
[tex]A_1 =1m * 80cm[/tex]
Convert cm to m
[tex]A_1 =1m * 0.80m[/tex]
[tex]A_1 =0.8m^2[/tex]
For the compound, we have:
[tex]A_2 = 13.6m * 11m[/tex]
[tex]A_2 = 149.6m^2[/tex]
Divide the area of the compound by the area of the paving stone
[tex]n = \frac{A_2}{A_1}[/tex]
[tex]n = \frac{149.6}{0.8}[/tex]
[tex]n = 187[/tex]
Identify this shape below
Solve for x.
-32 > -5 +9x
Enter your answer, as an inequality, in the box.
Answer:
-3>x.
Step-by-step explanation:
I did mental math.
It takes Scott 3 times longer to paint a house than it takes James. If they work together, they can paint the house in 13 hours. Write equation that could be used to solve for the amount of hours it takes each of them to paint the house alone.
Answer:
I believe it is 13 - 3x
Step-by-step explanation:
Since we dont know how long it takes Scott to paint the house, we use x in its place. We are subtracting to find out how many hours it takes James. Once you get that answer divide by 3.
The equation that should be used to solve for the amount of hours should be considered to be 13-3x.
Calculation of the equation;Since
It takes Scott 3 times longer to paint a house than it takes James. And, they work together, they can paint the house in 13 hours.
So here we assume x to paint the house
So here the equation be like 13-3x.
Learn more about an equation here: https://brainly.com/question/2252530
A rectangular safe can hold 7,296 cubic inches. Gold bars that are 4 inches by 8 inches by 2 inches fit to completely fill
the safe. What is the maximum number of gold bars that will fit in the safe?
(A) 64
(B) 228
(C) 114
(D) 128
Answer:
your answer is 114
I hope it's helps you
Help due in 45 minutes!!!
Answer:
x = 5, y = -3
Step-by-step explanation:
2x - 3y = -1 ---› Eqn. 1
-2x + y = 7 ----› Eqn. 2
Add both equations
-2y = 6
Solve for y
y = 6/-2
y = -3
Substitute y = -3 into Eqn. 1.
2x - 3(-3) = -1
2x + 9 = -1
2x + 9 - 9 = -1 - 9
2x = -10
2x/2 = -10/2
x = 5
Solution: x = 5, y = -3
What are the answers to these 4 questions
Answer:
These are easy you should know
Step-by-step explanation:
But it looks like you got the answers already God Bless
Point B has rectangular coordinates (-5, 12)
Write the coordinates (r, e) for point B. (O in degrees)
Answer:
(13, -67.4°)
Step-by-step explanation:
In the general case, for a point (x, y), the same point written in polar coordinates is (r, θ), such that:
r = √(x^2 + y^2)
θ = Atg(y/x)
Then if we have the point with coordinates (-5, 12)
The polar coordinates will be:
r = √((-5)^2 + 12^2) = 13
θ = Atg(12/-5) = -67.4°
Then the polar coordinates are:
(13, -67.4°)
A boy stands 20m away from the foot of the tree. The angle of elevation of the top of the tree from 1.5m above the ground is 24 degree. calculate the height of the tree.
Answer: 10.4m
Step-by-step explanation:
Which statement about the linear factors and zeros of a quadratic function is always
true?
A. The constants of the linear factors are the opposite of the function's zeros.
B. A function's zeros can be determined by setting each linear factor equal to 0 and
solving.
C. If a function's zero is an integer, then the coefficient of the variable in the linear factor
must be one.
D. Multiplying the constants of the linear factors gives one of the function's zeros, and
adding the constants gives the other zero.
solve: 2√(3) cos²A= sinA
Answer:
Step-by-step explanation:
[tex]2\sqrt{3}\cos ^2\left(A\right)=\sin \left(A\right)\\\mathrm{Subtract\:}\sin \left(A\right)\mathrm{\:from\:both\:sides}\\2\sqrt{3}\cos ^2\left(A\right)-\sin \left(A\right)=0\\-\sin \left(A\right)+\left(1-\sin ^2\left(A\right)\right)\cdot \:2\sqrt{3}=0\\\sin \left(A\right)=-\frac{2\sqrt{3}}{3},\:\sin \left(A\right)=\frac{\sqrt{3}}{2}\\\mathrm{Combine\:all\:the\:solutions}\\A=\frac{\pi }{3}+2\pi n,\:A=\frac{2\pi }{3}+2\pi n4[/tex]