Therefore, We can use the Gaussian elimination method to find the basis of H.
Define Gaussian elimination method.In linear and multilinear algebra, the procedure of Gauss elimination involves first solving one of the simultaneous linear equations for one variable (in terms of all the others) and then substituting this expression into the other equations to discover the answers.
Define linear equation.A linear equation is an algebraic equation in which each term has an exponent of 1, which, when plotted on a graph, always yields a straight line. One example with one variable is where ax+b = 0, where a and b are fundamental values and x is the variable.
Selecting the polynomials Pi(t) = 1 + t and P2(t) = 1 - t from the set S. These are linearly independent since they cannot be written as a linear combination of the other polynomials in the set and checking if the span of Pi(t) and P2(t) is equal to H. Then expressing the remaining
polynomials P3(t), P4(t), and Ps(t) in terms of Pi(t) and P2(t) and checking if they can be written as a linear combination of Pi(t) and P2(t) or not.
P3(t) = 4 can be written as 4 * Pi(t) - 4 * P2(t)
P4(t) = 1 + 7t can be written as Pi(t) + 7 * P2(t)
Ps(t) = 1 + 2t + 7t^2 can be written as Pi(t) + 2t * P2(t) + 7 * P2(t)^2
From this, we can see that all the polynomials in S can be written as a linear combination of Pi(t) and P2(t). So, the span of Pi(t) and P2(t) equals H. Hence, { Pi(t), P2(t) } is a basis for the subspace H.
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If you answer these questions i will give you free point's. (Answer all of them pls)
1. I am 50% of a quarter of 32.
2. I am two thirds of 60.
3. I am exactly half-way between 25% of 80 cm and 40% of 120cm.
4. I am one-quarter of 50% of 88kg.
5. I am 3% of half of 600 pounds.
6. I am exactly halfway between one fifth of 25cm and 2% of 300 cm.
7. I am greater that 0.6 kg, less than one-third of 6 kg, and equal to four times 10% of 3kg.
Answer:
1. 4
2.40
3. 28
4.11
5.12
6. 1
7. 1200
Step-by-step explanation:
V100 is rational or irrational?
Answer:
V100 is irrational I think
Step-by-step explanation:
(0) A baker puts 10 kg of sugar equally into 8 bags. How much sugar is there in
each bag?
Answer:
1.25 kg of sugar in each bag
Step-by-step explanation:
10/8 = 1.25
Please give a 5 star rating if this helped!
The points (2, 8) and (1, 2) fall on a particular line. What is its equation in slope-intercept form?
Answer:
y = 6x - 4
Step-by-step explanation:
(2, 8) & (1, 2)
First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)
Plug in these values:
(2 - 8) / (1 - 2)
Simplify the parentheses.
= (-6) / (-1)
Simplify the fraction.
-6/-1
= 6
This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.
y = 6x + b
To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (1, 2). Plug in the x and y values into the x and y of the standard equation.
2 = 6(1) + b
To find b, multiply the slope and the input of x(1)
2 = 6 + b
Now, subtract 6 from both sides to isolate b.
-4 = b
Plug this into your standard equation.
y = 6x - 4
This is your equation.
Check this by plugging in the other point you have not checked yet (2, 8).
y = 6x - 4
8 = 6(2) - 4
8 = 12 - 4
8 = 8
Your equation is correct.
Hope this helps!
A rectangle drawn on the coordinate plane has vertices (4, 4), (1, 8), (-7, 2) and (-4, -2). What is the area, in square units, of the rectangle?
Help me pls I don't know what I'm doing
Answer:
B. 3.6
Step-by-step explanation:
I have no idea if this is right but my logic is 3.6 - 3.6 = 0
Answer:
B. 3.6
Step-by-step explanation:
The equation is
w - 3.6 = 0
That means start with some number. Then subtract 3.6 from that number. The result is 0. What number is it that when you subtract 3.6 from it you get 0? That number is 3.6 since 3.6 - 3.6 = 0. That means w, the unknown, must equal 3.6.
That is the explanation.
The way to solve the equation is to see what is being done to the unknown. The unknown here is w. On the left side, you see 3.6 being subtracted from w. In order to undo a subtraction, you must do the opposite operation which is an addition. In order to undo a subtraction of 3.6, you must add 3.6. The rule with equations is that you must do the same operation to both sides of the equation, so add 3.6 to both sides of the equation.
w - 3.6 = 0
Add 3.6 to both sides.
w - 3.6 + 3.6 = 0 + 3.6
w = 3.6
Answer: B. 3.6
(x^8+2x^4+1)+(2x^4+x^2+1)
Your problem → (x^8+2x^4+1)+(2x^4+x^2+1)
(x^8+2x^4+1)+(2x^4+x^2+1)
=x^8 + 2x^4 + 1 + 2x^4 + x^2+1
=x^8+2x^4+2x^4+x^2+1+1
=x^8+4x^4+x^2+2
What percent is represented by the region that is shaded? Exact
answers only (no rounding).
Answer:
64 percent
Step-by-step explanation:
because there is 24 sq and 100 divided by 24 is 4, 4 times 16 is 64
1. You are baking cookies to bring to school for a bake sale. You have already finished 22 cookies, and you can bake 12 at a time on your cookie sheet. If you want to bake at least 100 cookies, how many more cookie sheets do you have to bake?
Answer:
pp
Step-by-step explanation:
pp
Sadie swam x laps in the pool. Eric swam 3/5 more than that. Write an expression for the number of laps Eric swam
Answer:
y = 3/5 + x
'y' = # laps Eric swam
Step-by-step explanation:
Answer:
.
Step-by-step explanation:
.
(a) The area of a rectangular garden is 7371 m².
If the width of the garden is 81 m, what is its length?
What is the Length of the garden:
Answer:
length = 91 m
Step-by-step explanation:
area = length * width
so,
7371 = length * 81
cancel out 81 by dividing on both sides
91 = length
Treys grandmother has a framed picture with side lengths that are 12 inches. Trey wants to know how much wall space is needed for the picture.
Answer:
144 inches
Step-by-step explanation:
Answer:
144 inches :)
Step-by-step explanation:
Mia and her friends are planning a trip to the movies. They can go to the movies on Friday, Saturday, or Sunday, and there are 10 different movies at the theater. Which expression represents the number of different combinations of day and movie Mia and her friends can choose?
Answer:
30
Step-by-step explanation:
There are 3 days, and 10 movies.
3 x 10 = 30
What is the value of the expression 5x – x + 8 when x = 2?
Answer:
16
Step-by-step explanation:
5x - x + 8
5(2) - 2 + 8
10 - 2 + 8
8 + 8
16
The answer is 16 I am sure
Three angles in a triangle measure x°, (4x+12)° and (3x+16)°. What is the measure of the largest angle in this triangle?
Answer:
Step-by-step explanation:
90°
What is the distance between points (-2, -5) and (-14, 4) on the coordinate plane
•9
•12
•14
•15
Answer:
15 units
Step-by-step explanation:
[tex]distance formula =\sqrt{(x_{2} -x_{1} )^{2} + (y_2 -y1)^{2} } } \\[/tex]
[tex]x_{1} = -2\\x_{2} = -14\\y_{1} = -5\\y_{2} = 4[/tex]
[tex]distance\\= \sqrt{(-14 - -2)^{2} + (4 - -5)^2 } \\= \sqrt{(-12)^2 + (9)^2} \\= \sqrt{144 + 81} \\= \sqrt{225} \\= 15\\Thus distance between the two points (-2,-5) and (-14,4) = 15 units[/tex]
Hope it helps....
The school sold 300 tickets to the theatre performance. They sold adult tickets for $9 each and student tickets for $6 each. They made a total of $2, 190. How many students were in attendance?
I need help please, I need to show work and it is due tonight.
Answer:
Your answer is.....
170 students
Mark it as brainlist answer . follow me for more answer.
Step-by-step explanation:
3,864,950 rounded to the nearest ten thousand
Answer:
3,870,000
Step-by-step explanation:
The 5 rounds the 9 into a 10
The 10 rounds the 4 into a 5
The 5 rounds the 6 into a 7
Put them all together and you get 3,870,000
I hope this helps, and have a great day! :)
Chad measured a house and its lot and made a scale drawing.
The backyard is 17 inches long
in the drawing.
The actual yard is 68 feet long.
What scale did Chad use for the drawing?
1 inch __ feet
Answer: 4 maybe because if its 17 inches divide 68 by 17 and it should give you your answer
3.- Una persona pinta el interior de un cuadrado de lado 15m, si antes de pintarlo
comete un error al medir la longitud de los lados de 0.2m, resolver por diferencial
(a).- ¿Cuál es el error máximo en el área de pintado (cuanto de diferencia de área
pinto más debido al error).
Answer: SOrry no espanypol
Step-by-step explanation:
HELP WILLING TO CASHAPP if answered quick and correctly + 100 points The points plotted below on the graph of a polynomial which of the following X values is the best approximation of a root of the polynomial? Check all that apply
X=-0.21
X=-4.6
X=-2.3
X=3
X=1
X=-3.5
first 1
4th one
i think sorry if its wrong
Answer:
Step-by-step explanation:
Did you ever find out the answer????
help me plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answer:
"Playing video games has been shown to enhance memory and even increase brain volume"
Step-by-step explanation:
The claim is approves the usage of video games.
The first piece of evidence supports the usage, citing how video games can "enhance memory" which is positive.
The second piece of evidence does the opposite and disapproves video games, citing them as an "addiction" which is negative.
how many years will it.take 10,000 to grow 17,800 if it is invested at 2.50% compounded continuously
Answer:
just about 24 years
Step-by-step explanation:
Enter the value of 21 + (-3) - (-0.9).
PLSS
Answer:
18.9
Step-by-step explanation:
21+(-3)-(-0.9) = 21-3+0.9 = 18+0.9 = 18.9
Find the percent of change
1970's: $0.79
2010's: $3.72
Answer:
471%
Step-by-step explanation:
If you divide 3.72 by .79 you get 4.7088...
Multiply by 100 to get your percentage is 470.88...
Rounded to nearest percentage is 471
hope this helps
What is the value of
y in the equation?
2y - 3/3 - 3= 2y/5
Answer:
Solve for y by simplifying both sides of the equation, then isolating the variable.
Exact Form:
y = 5 /2
Decimal Form:
y = 2.5
Mixed Number Form:
y = 2 and 1 /2
Step-by-step explanation:
Hope this helps! Have a great day!
Answer:
Solve for y by simplifying both sides of the equation, then isolating the variable.
y = 2 and 1 /2
Step-by-step explanation:
Hope I helped! Check out my profile and give a "thanks" for more answers!
I need the answer ASAP
1. In the figure, x is an exterior angle to the triangle below.
(a) Explain why x is equal to the sum of the measures of the two nonadjacent interior angles. You need to present the algebra that proves this theorem.
(b) What is m
Answer:
109 is the correct answer of this question
A car dealer sells four model types: A,B,C,D. On a given week, this dealer sold 10 cars of model A, 5 of model B, 8 of model C and 3 of model D. The selling prices of each automobile are respectively $12,500, $11,800, $15,900 and $25,300.
Represent the data on the quantity sold using using matrix.
Answer:
its latter A
Step-by-step explanation:
i hope its help
The mayor of a town has proposed a plan for the annexation of a new bridge. A political study took a sample of 900900 voters in the town and found that 377% of the residents favored annexation. Using the data, a political strategist wants to test the claim that the percentage of residents who favor annexation is over 344%. Testing at the 0.020.02 level, is there enough evidence to support the strategist's claim
Answer:
Hence, we fail to reject the null ;
There is no significant evidence to support the claim that the percentage of residents who favor annexation is over 34%
Step-by-step explanation:
Given that :
Sample size, n = 900
p = 0.37
p0 = 0.34
H0 : p = 0.34
H1 : p > 0.34
Right tailed test:
Decision region:
Reject Null if ;
Zstatistic > Zcritical
Zcritical at α 0.02 = 2.05
Hence
Reject H0 : if Zstatistic > 2.05
Zstatistic = (p - p0) / sqrt((p0(1-p0))/n)
= (0.37 - 0.34) / sqrt((0.34(1-0.34))/900)
= 1.8999
1.8999 < 2.05
Zstatistic < Zcritical
Hence, we fail to reject the null ;
There is no significant evidence to support the claim that the percentage of residents who favor annexation is over 34%
In 2002, the population of a town was approximately 34,050. In 2012,
the population of the town had increased to approximately 56,800. Based
on a linear model, what will be the approximate population of the town
in 2020?
Answer choices
A. 52,250
B. 75,000
C. 79,550
D. 99,850