Write the solution set of the given homogeneous system in parametric vector form. 0 where the solution set is x

Answers

Answer 1

Answer:

[tex]x_{1} + 3x_{2} + x_{3} = 0\\[/tex]

X = [tex]\left[\begin{array}{ccc}x_{1}\\x_{2}\\x_{3}\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}5x_{3}\\-2x_{3}\\x_{3}\end{array}\right][/tex] = [tex]x_{3} \left[\begin{array}{ccc}5\\-2\\1\end{array}\right][/tex]

Step-by-step explanation:

Parametric vector form is the set of equation which form a line. The parametric equation is set and the vector matrix is formed based on the given equation. The solution set of x is found by equating the 0. It express a set of explicit independent variables.


Related Questions

Determine the domain :y=|x+5|+1

Answers

Answer:

B im pretty sure

Step-by-step explanation:

Answer:

Domain:  ( − ∞ , ∞ ) , { x | x ∈ R }

Range:  [ 1 , ∞ ) , { y | y ≥ 1 }

Step-by-step explanation:

ind the domain by finding where the equation is defined. The range is the set of values that correspond with the domain.

To multiply two numbers using scientific notation, you would ____ the exponents.

Answers

Answer:

add

Step-by-step explanation:

Answer:

Add

Step-by-step explanation:

To multiply numbers written in scientific notation, first multiply the coefficients and then add the exponents.

See if that helps.

The function h is defined by h(x)= 2x^2+3. find h (3z).

Answers

h(3z) = 2(3z)^2 + 3 = 18z^2 + 3

h(3z) is equal to 18z² + 3

To find h(3z), we substitute 3z into the function h(x). This means we replace x with 3z in the expression for h(x).

h(3z) = 2(3z)² + 3

Simplifying this expression, we have:

h(3z) = 2(9z²) + 3

h(3z) = 18z² + 3

So, h(3z) is equal to 18z² + 3. This means that if we input any value of z into the expression, the function h will output the corresponding value by evaluating 18z² + 3.

The function h(3z) represents a quadratic expression in terms of z, where the coefficient of z² is 18 and there is a constant term of 3 added to the result.

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Find the exponential function evaluate of
Y=2.5x

Answers

Step-by-step explanation:

Graph the line using the slope and y-intercept, or two points.

Slope: 2.52.5

y-intercept: (0,0)

x y

0 0

1 2.5

PLZ HELP FAST
Suppose x and y give the populations of two different cities where x >y and y > 0. Compare the expressions and select which of the given pair is greater. X/ x +y (select) x+y /X​

Answers

Answer:

(x + y)/x is greater than x/(x + y)

Step-by-step explanation:

Given.

x > y

y > 0

Required

Which is greater?

x/(x + y) or (x + y)/x

Since x is greater than y & y > 0

Then definitely,

x + y > x

By the above analysis:

(x + y)/x is an improper fraction because the numerator (x + y) is greater than the denominator (x)

While

x/(x + y) is a proper fraction because the numerator (x) is lesser than the denominator.

All improper fractions are greater than all proper fractions,

Hence:

(x + y)/x is greater than x/(x + y)

To further explain this:

Take

x = 3 and y = 2

x/(x + y) = 3/(3 + 2) = 3/5 = 0.6

(x + y)/x = (3 + 2)/3 = 5/3 = 1.67

See that (x + y)/x is greater than x/(x + y)

And this is so for all values of x and y

Where x > y and y > 0

Answer:

is less than

Step-by-step explanation:

Help please
-x^3 = 216
a. +/- 6
B. 6
C. -6 ∛6
D. -6

Answers

Answer:

D. -6

Step-by-step explanation:

SInce x is negative, the - before the six would be cancelled out leaving the equation to be 6^3=216 which is correct

A 168-inch board is cut into two pieces. One piece is three times the length of the other. Find the length of the shorter piece.

Answers

Answer:

42

Step-by-step explanation:

168 Inches. One is three times the length of the other so, the bigger piece is 3/4 while the shorter is 1/4. Simply multiply 1/4 by 168. You get 42.

f(x)=3x+1 what is the value of f(-2/3)

Answers

Answer:

f = -1

Step-by-step explanation:

f(x) = 3x + 1

f(-2/3) = 3(-2/3) + 1

f = -2 + 1

f = -1

Answer:

= -2f/3

Step-by-step explanation:

A catering company loses $110 as a result of a delay.
The 5 owners of the company must share the loss equally.
Which integer represents the change in profit for each owner?

Answers

Answer:

-$22.00

Step-by-step explanation:

1. Compare using >,<, or =. d. 24 tenths ______2.5

Answers

Answer:

<

Step-by-step explanation:

[tex]24 \: tenths = \frac{24}{10} = 2.4 \\ \\ 2.4 \: \: \red{\bold{ < }} \: \: 2.5[/tex]

The midpoint of AB is M(3,3). If the coordinates of A are (2, -1), what are the

coordinates of B?

Answers

Answer:

(4, 7)

Step-by-step explanation:

Given that:

Midpoint of AB = M(3, 3)

Coordinate of A = (2, - 1)

Let coordinates of B = (x, y)

Recall :

Midpoint of AB = [(Ax + Bx) / 2, (Ay + By) / 2]

Mx = (Ax + Bx) / 2

My = (Ay + By) / 2

Mx = 3

Mx = (Ax + Bx) / 2

3 = (2 + x) / 2

2*3 = 2 + x

6 = 2 + x

6 - 2 = x

4 = x

My = 3

My = (Ay + By) / 2

3 = (-1 + y) / 2

2*3 = - 1 + y

6 = - 1 + y

6 + 1 = y

7 = y

Hence,

B = (4, 7)

Which equation matches the graph

Answers

Answer:

C

Step-by-step explanation:

the slope is -4 and the y-intercept is -1

hope this helps :3

I think the answer is C

Can any one help me?

Answers

8x + 5 + 4x - 17 = 180

12x - 12 = 180

12x = 192

x = 16

The value of x is 16.
16
Explanation idkkkkk1

Try it
Solve the system of equations.
2x + 3y = 1
5x + 2 = 8
What is the solution?

Answers

Answer:

x=6/5 ,y= -7/15

Step-by-step explanation:

we are going to solve this simultaneously.

2x+3y=1.......(i)

and

5x+2=8

5x=6

x= 6/5 .......(ii)

Now let's put value of x into equation number (i)

2x+3y=1

2(6/5) +3y=1

12/5 +3y =1

3y= 1-(12/5)

3y = -7/5

y = (-7/5) ÷3

y= -7/15

A line passes through (2, 7) and has a slope of -4. What is its equation in point-slope form?


Sorry I'm bad

Answers

Answer:

y= (-4/1)x -1

Step-by-step explanation:


2x + 3y- z = 13
3x - 4y+z = -2
x + 2y + 2z= 21

Answers

What’s the question ?

Three statistics professors and seven chemistry professors are available to be advisors to a student organization. The student organization needs two of the professors to be advisors. If each professor has an equal chance of being selected, what is the probability that both professors are chemistry professors?

Answers

Answer:

P[2qp] = 0,467      or    46,7 %

Step-by-step explanation:

The probability of two of seven chemistry professors is equal to:

P[2 qp] = quantity of combinations of seven elements taken in groups of two, over total quantity of events, therefore

The total quantity of combinations is:

3 statistics professors + 7 chemistry professors taken in groups of 2 that is:

Te  = (3 + 7) ! / 2!*(10-2)!

Te = 9!/ 2!*5!        ⇒    Te = 9*8*7*6*5!/2!*8!    ⇒ Te = 9*8!/2*8!

Te = 45

And successful events are:

C₇,₂  =  7!/2!*(7-2)!

C₇,₂  = 21

Finally, the probability that both professors are chemistry professors is:

P[2qp] = 21/45

P[2qp] = 0,467      or    46,7 %

The probability of selecting both professors are chemistry professors will be 0.4667 or 46.67%.

What is probability?

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

Three statistics professors and seven chemistry professors are available to be advisors to a student organization.

The student organization needs two of the professors to be advisors.

If each professor has an equal chance of being selected.

The probability that both professors are chemistry professors will be

The total quantity of combinations will be

[tex]\rm T = \ ^{10} C _ 2 = 45[/tex]

And successfull events will be

[tex]\rm F = \ ^7C_2 = 21[/tex]

Then the probability will be

[tex]\rm P = \dfrac{F}{T}\\\\\\P = \dfrac{21}{45}\\\\\\P = 0.4667 \ or \ 46.67 \%[/tex]

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1 point
Translate the words to an algebraic expression. "The first integer plus the next consecutive integer plus the next consecutive integer."



Answers

Answer:

3x+3

Step-by-step explanation:

The given expression is "The first integer plus the next consecutive integer plus the next consecutive integer."

Let the first integer is x.

Next consecutive integer of x = x+1

Other next consecutive integer of x+1 = x+1+1=x+2

ATQ,

The expression is :

=x+x+1+x+1+1

=3x+3

I need to know how to write a equation number sentence for my time traveled from 2020 to 2000

Answers

Answer:

explain further or send a picture of what you mean and then I can help you

As a fundraiser for a band trip, the Edison Middle School Band plans to sell hats that feature the

school logo. The company producing the hats will charge the band $240 for the design and set-up

costs, plus $8 per hat. The band members have decided to sell the hats for $12 each.

a. Write an equation that represents the production cost in dollars to make the hats. Describe

what your variables represent.

b. Write an equation that represents the amount of money the band will make from selling the

hats. Describe at your variables represent

Answers

Answer:

a. c=240+8x

b. e=12x

Step-by-step explanation:

a. The equation would indicate that the production cost in dollars is equal to the design and set-up cost plus the cost per hat for the number of hats produced:

c=240+8x, where c is the production cost in dollars and x is the number of hats produced.

b. The equation would indicate that the amount of money the band will make from selling the  hats is equal to the price per hat for the number of hats sold:

e=12x, where e is the amount of money the band will make from selling the  hats and x is the number of hats sold.

Point G is on line segment F H ‾ FH . Given F G = 5 x + 2 , FG=5x+2, G H = 3 x − 1 , GH=3x−1, and F H = 9 , FH=9, determine the numerical length of F G ‾ . FG .

Answers

Answer:

FG = 7

Step-by-step explanation:

From the question, we are given:

FG=5x+2, GH=3x−1, and F H = 9

FG + GH = FH

5x + 2 + 3x - 1 = 9

5x + 3x + 2 - 1 = 9

8x + 1 = 9

8x = 9 - 1

8x = 8

x = 8/8

x =1

We are determining the numerical length of FG

FG= 5x + 2

FG = 5(1) + 2

FG = 5 + 2

FG = 7

Given h(x) = 5x + 3. what is the value of h(-11)

Answers

Answer:

h(-11)=-52

Step-by-step explanation:

Answer:

h(x)=52

Step-by-step explanation:

so x= -11 now plug in for x and solve

5(-11)+3

-55+3= -52

Garrison deposited $500 in an account that earns 5%
annual interest compounded annually. If he makes no
withdrawals or deposits, how much interest will the
account earn after 4 years?

Answers

Answer:

$107.75

Step-by-step explanation:

mark me brainliestt please

The Amount will be $607.75 and Interest is $ 107.75 after 4 years.

What is Compound Interest?

In order to compute compound interest, multiply the principle of the original loan by the annual interest rate multiplied by the number of compound periods minus one.

The interest you earn on interest is known as compound interest.

Given:

Garrison deposited $500.

Interest = 5%

Time= 4 years.

First, convert R as a percent to r as a decimal

r = R/100

r = 5/100

r = 0.05 rate per year,

Then solve the equation for A

A = P[tex](1 + r/n)^{nt[/tex]

A = 500.00[tex](1 + 0.05/1)^{(1)(4)[/tex]

A = 500.00[tex](1 + 0.05)^{(4)[/tex]

A = $607.75

and, I = A- P

I = 607. 75 - 500

I= $107.5

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What are the total expenses for a month if someone spends $900 on rent,
$290 on groceries, $55 for electric, $30 for water, $70 for car insurance,
$145 on entertainment, $87 on gas, $40 on clothes, and $56 on sports.

Answers

Answer:

$1673

Step-by-step explanation:

$900+$290+$55+$30+$70+$145+$87+$40+$56=$1673

x-3/7=x+1/32 solve the equations

Answers

Answer:

invalid

Step-by-step explanation:

combine like terms

invalid

0 is not equal to anything

Evaluate 9sigma n=5 3n+2

Answers

Answer:

17

Step-by-step explanation:

make me as brienliest

Given a normal distribution with a mean of 125 and a standard deviation of 14, what percentage of values is within the interval 111 to 139?
A. 32%
B. 50%
C. 68%
D. 95%
E. 99.7%

Answers

Answer:68%

Step-by-step explanation:

just took this test

The percentage of values is within the interval 111 to 139 will be "68%".

Probability

According to the question,

Mean = 125

Standard deviation = 14

Let,

The random variable be "X".

Now, the probability:

→ P(111 < X < 139) = P (111 - 125 < X - 125 < 139 - 125)

                           = P(-14 < X - 125 < 14)

                           = P(-[tex]\frac{14}{14}[/tex] < [tex]\frac{(X-125)}{14}[/tex] < [tex]\frac{14}{14}[/tex])

                           = P(-1 < Z < 1)

When, Distribution function "[tex]\phi[/tex]" now,

= [tex]\phi[/tex](1) - [tex]\phi[/tex](-1)

= [tex]\phi[/tex](1) - 1 + [tex]\phi[/tex](1)

= 2 × [tex]\phi[/tex](1) - 1

= 2 × 0.8413 -1

= 1.6826 - 1

= 0.6826 or,

= 68%

Thus the above answer i.e., "option C" is correct.

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Triangle ABC, in the coordinate plane, is reflected over the -axis to form shown on the coordinate plane below.

Answers

Answer:

I think it’s C

Step-by-step explanation:

Answer: (x,y) to (x,-y)

Step-by-step explanation:

The following is the correct way to show the product for 0.297×7.1:

Answers

the answer is 2.1087

Answer:

2.1087

Step-by-step explanation:

0.297

7.1 +

2.1087


LUCILLES PENCIL POUCH WOULD HOLD 3/8
OF THE 48 PENCILS THAT SHE PURCHASED AT
THE BEGINNING OF THE NEW SCHOOL YEAR.
HOW MANY PENCILS WILL FIT IN HER POUCH. will give brainlist

Answers

Answer:

18

Step-by-step explanation:

You would divide 48 by 8 and multiply it by 3. Otherwise, you could do

3/8 = x/48

x * 8 = 3 * 48

x * 8 = 144

 /8        /8

x = 18

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