Express v=
(2,1,5) as a linear combination of (1,2,1), (1,0,2) and (1,1,0)

Answers

Answer 1

The expression of v = (2,1,5) as a linear combination of (1,2,1), (1,0,2) and (1,1,0) is [tex](2,1,5)=1(1,2,1)+2(1,0,2)+-1(1,1,0)[/tex]

Linear Combinations

To express v= (2,1,5) as a linear combination of (1,2,1), (1,0,2) and (1,1,0), it will be written as:

[tex](2,1,5)=x(1,2,1)+y(1,0,2)+z(1,1,0)[/tex]

This will yield the following equations:

x + y + z = 2........(1)

2x + z = 1..........(2)

x + 2y = 5........(3)

The solution to the system of equations above is:

x = 1, y = 2, z = -1

Therefore, the linear combination is:

[tex](2,1,5)=1(1,2,1)+2(1,0,2)+-1(1,1,0)[/tex]

Learn more on linear combinations here:https://brainly.com/question/17407318

#SPJ1


Related Questions

I need help please quickly!!

Answers

Answer:

37.68

Step-by-step explanation:

A= 3.14 x 4 x 4 = 50.24

50.24 ÷ 4 = 12.56

12.56 x 3 = 37.68

A 40-foot pipe is cut into three sections. The longest section is three times as long as the shortest, and the middle-sized section is 5 feet longer than the shortest. Complete the diagram
by giving a and b as expressions involving x. Do not solve the problem.
P = 40 ft
12
X
b
21
X
P
1
a
Length of
middle-sized
Length of
shortest
section
Length of
longest
section
section

Answers

Answer:

P=40

a + b + x = P

a = 3x    

b = x + 5

substitute for b & y

3x + (x+5) + x = 40

Step-by-step explanation:

longest section 1 = a

mid length section 2 = b

shortest section 3 = x

P=40

a + b + x = P

a = 3x    

b = x + 5

substitute for b & y

3x + (x+5) + x = 40

5x + 5 = 40

5x = 35

x = 7

b = 12

a = 21

How to do two step equations?

Answers

Answer:1) First, add or subtract both sides of the linear equation by the same number.

2) Secondly, multiply or divide both sides of the linear equation by the same number.

3)* Instead of step #2, always multiply both sides of the equation by the reciprocal of the coefficient of the variable.


Using the addition or subtraction property, write the equation with all terms containing the unknown in one member and all terms not containing the unknown in the other.

Write the slope intercept form for an equation that has an equation of -2x + y = 7 and passes through (4,5). *

Answers

SLOPE INTERCEPT FORM: y = 7x −23

Simplify the algebraic expression (8x + 16y)/2 + 4(x - y)

Answers

It's 8x + 16y/2 + 4x - 4y :))

Answer:

8x+4y

Step-by-step explanation:

Distribute:

=4x+8y+(4)(x)+(4)(−y)

=4x+8y+4x+−4y

Combine Like Terms:

=4x+8y+4x+−4y

=(4x+4x)+(8y+−4y)

=8x+4y

Answer:

=8x+4y

I hope I helped!!

Asking for a friend please help

Answers

Answer:

=1/15

Step-by-step explanation:

this is the answer is = 1/15 hope this helps your friend out!

please helppp

Simplify.
(-2)^-3

Answers

Answer:

-1/8   <----- FRACTION

Step-by-step explanation:

-1/8
To simplify, first flip the term to the denominator to get rid of the negative exponent. Then simplify 1/-2^3. This equals 1/-8 because -2^3 is the same as -2*-2*-2, which is -8.

Sandra has some nickels, dimes, and quarters which total $2.50. She has the same
number of nickels as quarters; however, she has twice the number of dimes as nickels.
How many of each type of coin does she have?

Answers

Answer:

5 nickels

10 dimes

5 quarters

Step-by-step explanation:

n = number of nickels

d = number of dimes

q = number of quarters

q = n

d = 2n

0.05n + 0.10d + 0.25q = 2.50

substitute

0.05n + 0.10(2n) + 0.25(n) = 2.50

0.05n + 0.20d + 0.25n = 2.50

0.50n = 2.50

n = 5

d = 10

q = 5

R(-9,4) and S(2,-1); Find T

Answers

Answer:

The question doesn’t state what T represents, so I will assume T is one of two points:

1. The midpoint of R and S, or

2. S is the midpoint of RT.

1. T((-9+2)/2,(4-1)/2)=T(-7/2,3/2)

2. T(x,y): S(2,-1)=((-9+x)/2,(4+y)/2); 2=(-9+x)/2, 4=-9+x, x=13; (4+y)/2=-1, 4+y=-2, y=-6. T(13,-6)

 

3(5y + 3) = 39
Please help
Me solve it

Answers

Answer:

2

Step-by-step explanation:

3(5y+3) = 39

15y+9 = 39

15y=30

y=2

Answer it like this
1: answer here
2: answer here

Make sure you round both to the nearest tenth

Answers

1. Radius is 7
2. Radius is 22 sorry don’t know the diameter

1.) Radius = 6.5 ft.

2.) Diameter = 14 in.

Radius = 7 in.

Fourteen soccer players want to share nine protein bars after the game. What
fraction of a protein bar will each player get?

Answers

Answer:

9/14

Step-by-step explanation:

sorry if im wrong...

The mass of carbon is 1.995 x 10^-23 grams per atom and the mass of hydrogen is
1.674 X 10^-24 grams per atom. Which is larger?

Answers

Answer:

Carbon

Step-by-step explanation:

When the power of 10 is negative, the less the exponent the bigger the number

Answer:

Step-by-step explanation:

the larger number is 1.995x10^-23

Answer and solution and thank you for answer

Answers

Answer:

C is the answer not sure

Step-by-step explanation:

express (4+7i)(2-i) in the form a+ib​

Answers

(4+7i)(2-i)

multiply it out

8-4i +14i -7i squared

i squared is the same as -1

8-4i+14i-7(-1)

8+7-4i+14i

15+10i

divide by common factor which is 5 in this case

3+2i

.) A group of neighborhood families are planning a trip to the museum. Tickets are $25 for adults
and $10 for children. The group also has a coupon for $5 off. The expression 25a + 10c – 5
represents the total cost for a adult and c child tickets. Monica is purchasing tickets for
5 adults and 9 children.

Answers

Answer:

$210

Step-by-step explanation:

the expression is 25a+10c-5

where a=adults,c=children

and we have 5adults and 9 children

then 25a + 10c - 5 is

25(5)+10(9)-5

=125+90-5

=210

answer:Monica is going to purchase tickets for 5adults and 9 children for$210

-7x + 12x – 6 = 9
how do i solve this and awnser?

Answers

Step-by-step explanation:

3 is the answer

-7x+12x-6=9

when -6 goes to other side it becomes +6

-7x+12x=9+6

5x=15

when 5x which means 5 multiplied to x . When 5 goes other side it becomes division

x=15÷5=3

x=3

4x^2-19x-5=0
Solve by factoring

Answers

Answer:

x= −1/4 or x = 5

Step-by-step explanation:

Step 1: Factor left side of equation.

(4x+1)(x−5)=0

Step 2: Set factors equal to 0.

4x+1=0 or x−5=0

Answer:

x= −1/4 or x = 5

The factored form of the equation  4x²- 19x - 5 = 0 is (4x+1)(x-5).

The given equation is 4x²- 19x - 5 = 0.

To factor the quadratic expression on the left-hand side into two binomials.

The binomial factors will have the form (ax + b)(cx + d).

We need to find two numbers whose product is equal to ac (the coefficient of x² term) multiplied by d (the constant term), which is (4)(-5) = -20, and whose sum is equal to the coefficient of the x term, -19.

After considering different factor pairs of -20, we find that -20 and +1 satisfy the requirements.

(4x² - 20x) + (x - 5) = 0.

4x(x - 5) + (x - 5) = 0.

(4x+1)(x-5)=0

To learn more on Quadratic equation click:

https://brainly.com/question/17177510

#SPJ6

Find the common ratior for the geometric sequence and user to find the next three terms.
243, 162, 108, 72, ...

Answers

Answer:

add my sc = bmic ava, no spaces

or add my discord = XoXo_ava

Step-by-step explanation:

mom this u?

600 at 4% for 9 months

Answers

Answer:

Monthly payment-$67.78

Step-by-step explanation:

I didn't really know what you wanted so I just put that because that's the only thing to suit it but next time add in more information in your question please.

which is the correct description of how to find the volume of a cylinder

Answers

Answer:

The formula for the volume of a cylinder is V=Bh or V=πr2h . The radius of the cylinder is 8 cm and the height is 15 cm. Substitute 8 for r and 15 for h in the formula V=πr2h .

Step-by-step explanation:

Can someone help me?

Answers

Answer:

Step-by-step explanation:

5y-7=5d+3y

we will subtract 3y from both sides

5y-3y-7=5d

we will add 7 on both sides

2y=5d+7

we divide by 2

y=(5d+7)/2

or

y=5d/2+7/2

Answer:


Y= 5d/2+7/2

What is the unit fraction for each part?

Answers

0/4 and 0/2 :) hope this helps and have a great day!

( 0) + ( -8) + (+4) =

( 0) + ( -3) + ( -4) =

Answers

Answer:

1. -4

2. -7

(don't quote the 0)

Answer:

1) -4

2) -7

Step-by-step explanation:

1) 0 + (-8) + 4 =

0 - 8 + 4 =

-8 + 4 =

= -4

2) 0 + (-3) + (-4) =

0 - 3 - 4 =

= -7

PLEASE HELP DUE TODAY WILL GIVE BRAINLIEST TO CORRECT ANSWER

After a few mathletes join the team, the team is able to solve 40% more problems per session. Of the team can solve 42 problems per session now, how many problem were they able to solve before the new mathletes joined?

Answers

Step-by-step explanation:

the answer is 16.8 :)hope this helps

Answer: 30 :) have a nice day!!!

Select the correct answer. What is the solution to the equation? ​

Answers

Answer:

I think there is no solution to this problem

Step-by-step explanation:

Answer:

c because 3x3 is 9 and 3 plus 9 is 12

Step-by-step explanation:

Factor the following expression so it is in simplest form.

6a – 4(2a + 3)

A.
–2(a – 6)


B.
–2(a + 6)


C.
2(7a – 6)


D.
2(7a + 6)

Answers

Factorization of the given algebraic expression in its' simplest form is; B.–2(a + 6)

How to factorize an Algebraic Expression?

To factorize an algebraic expression, it means that the highest common factors of the terms of the specific algebraic expression are determined and then we group the terms accordingly.

We are given the algebraic expression as;

6a – 4(2a + 3)

Multiplying the bracket out gives us;

6a - 4(2a) - 4(3)

= 6a - 8a - 12

= -2a - 12

Now, the highest common factor of the expression is 2 and so we have;

-2(a + 6)

Read more about Factorization at; https://brainly.com/question/25829061

#SPJ1

MATH HELP ME NOWWWWWWWWWWWWWWWWWWWWWWWWWWW

Answers

Step-by-step explanation:

I've shown the process in the above picture .

hope this helps

What is the perimeter of the shape below, given a = 5.66, b = 13.75, c = 6.76, d = 4.59

Answers

Answer:

61.52

Step-by-step explanation:

5.66+ 13.75 + 6.76 + 4.59 + 5.66+ 6.76 + 13.75 +4.59

Answer:

61.52

Step-by-step explanation:

Given the values, you can solve for the remaining sides.

a + c will equal the side on the right and b + d will equal the side at the top.

So 2(a+c) + 2(b+d) will give the perimeter.

2(5.66+6.76) + 2(13.75+4.59) = 24.84 + 36.68 = 61.52

Please I need help asap Which graph represents a scatter plot with a nonlinear negative association?

Answers

Answer:

A

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Other Questions
a deli made $320000 in revenue last year. Due to increased popularity of deli, the owner predicts that revenue will increase by 23% next year. How much revenue does the owner think the deli will generate next year? HELP ME PLSS!!Oliver, Lily, and Ella are hoping to save money. Oliver thinks saving money in a shoe box in his closet every month is a good idea. He decides to start with $150, and then save $75 each month. Lily was given $4000 from her Great Uncle Merv, and decides to put the money into an account that has a 7% interest rate that is compounded annually. Ella has earned $4500 working at the gas station and decides to put her money in the bank in an account that has a 7.5% interest rate that is compounded continuously.the question is Describe the type of equation that models Ellas situation. Create that equation of Ellas situation. Using the equation you created, how much money will be in Ellas account after 2 years? 10 years? Find the missing length. Describe how one or more story elements help develop the themeThe three little pigs Escriba la oracin aplicando la estructura y reglas del presente simple y los adverbios de frecuencia en el lugar correcto. 1. Basketball/she/ play/often _________________________________________ 2. Lunch/we/have/always/at/ 2:00 _________________________________________ 3. Always/wake up/early/ in the morning/ Peter _________________________________________ 4. Sara/ sometimes/ angry/ is / with/ her parents. _________________________________________ 5. Usually/ I /go /by car /to the office. _________________________________________ 6. Television/ Harry/ watch/ often _________________________________________ 7. Father/ my/ go/ shopping/ never. ____________________________________ Can someone help? Correct answer gets brainliest! A basket holds n apples. You pick (2n 3) apples, and your friend picks (n + 4) apples.How many baskets would you need if you collected 10 apples with your friend? What is life at this point You can meet more goals and finish more tasks with a group than you could by yourself in the same amount of time.( )True( )False find the sum 10t710t7 Please help I only have 1 hour left . which of this numbers should go inside the box to make the equation true blank plus 4 over 2 equals 10 Helpppppppp me with question 2 Tuesday pleaseeeeee Which battle softened Britain's stance on the terms of the Peace Treaty of Ghent and why?The Battle of Queenston Heights; the US troops were able to capture this British British Canadian territory and only retreated when the militiamen refused to cooperateThe Battle of Bladensburg; the British troops were able to capture Washington and destroy the White House to avenge the burning of YorkThe Battle of Fort McHenry; the British fleet was unable to capture the fort even after bombarding it for over 24 hoursThe Battle of New Orleans; General Andrew Jackson's men handed the British troops a humiliating defeat at this battle Whats The Awnservertical angles theoremcorresponding angles postulatesame side interior angles theoremalternate interior angles theorem Jaxon invested $960 in an account paying an interest rate of 6.1% compounded monthly. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $1,720 why is it important to have a good besiness background? 4.) A radio station tower was built in two sections. From a point 87 feet from the base of the tower, the angle of elevation of the top of the first section is 25, and the angle of elevation of the top of the second section is 400. To the nearest foot, what is the height of the top section of the tower? (LT. 3.7 & 3.8)(This is Trigonometry) Ryan made a $3180 down payment on a car. The total cost of the car was $7500. He made 36 equal monthly payments to pay the car in full. How much did Ryan pay per month? Determine whether the sentence below is simple or compound.We hired painters to paint the house, but they didnt do the job.a.Simpleb.Compound