This question is incomplete, the complete question is;
Find the vector form of the general solution to the given linear system Ax = b; Then use that result to find the vector form of the general solution to Ax = 0.
x1 + x2 + 2x3 = 5
x1 + x3 = -2
2x1 + x2 + 3x3 = 3
Answer:
the vector form of the general solution to the given linear system Ax = b
x1 -2 -1
x2 = 7 +s -1
x3 0 1
find the vector form of the general solution to Ax = 0.
x1 -1
x2 = s -1
x3 1
Step-by-step explanation:
Given that;
x1 + x2 + 2x3 = 5
x1 + x3 = -2
2x1 + x2 + 3x3 = 3
Augmented matrix is expressed as;
1 1 2 5
1 0 3 -2
2 1 3 3
R2 ← R2 - R1
1 1 2 5
0 -1 -1 -7
2 1 3 3
R3 ← R3 - 2R1
1 1 2 5
0 -1 -1 -7
0 -1 -1 -7
R3 ← R3 - R2
1 1 2 5
0 -1 -1 -7
0 0 0 0
R1 ← R1 + R2
1 0 1 -2
0 -1 -1 -7
0 0 0 0
R2 ← - R2
1 0 1 -2
0 1 1 7
0 0 0 0
SO from the above reduced matrix, we get
x1 = -2 - x3
x2 = 7 - x3
x3 = x3
now we introduce parameter "s" for free variable x3
x1 = -2 - s
x2 = 7 - s
x3 = s
x1 -2 -1
x2 = 7 +s -1
x3 0 1
General solution of Ax = 0 will be
x1 -1
x2 = s -1
x3 1
Three pounds of bananas cost $7. How many pounds of bananas per dollar is that?
Round your answer to the nearest hundredths place.
Answer:
0...
Step-by-step explanation:
Which property
If 9x=27, then 27=9x
Answer:
symmetric property
Step-by-step explanation:
x=y then y=x
In which pair do both decimals represent rational numbers?
O A. 2.71828182845904523536... and 0.1222
O B. 3.141592653589793238... and 0.684
O C. 3.141592653589793238... and 0.1222...
O D. 0.684 and 0.1222...
Answer: D
Step-by-step explanation:
0.684 and 0.1222
(9^3 ● 9^5 ● 9^-8)^14
Answer:
1Step-by-step explanation:
(9^3 · 9^5 · 9^-8)^14 =9^((3 + 5 - 8)·14) =9^(0·14) =9^0 =1Find the midpoint of the two points on the circle (-2,1) and (5,-4)
Answer:
1.5,-1.5
Step-by-step explanation:
please pass this on... ( #helpsavelives )
Who ever is reading this:
I love u.
U matter.
The world needs u
hang in there ik it may be bad but u deserve the world <3
ur beautiful no matter ur shape, size, color, gender.. anything
don't give up i need u to live.
i wish i could take everyones problems so yall wouldn't have to have em but i cant so just know ily and if anyone needs to talk u can talk to me
Pls pass this on. Everyone deserves to know this. ♥️♥️
just copy and paste its not hard pls this could save someones life
Answer: (1.5,-1.5)
Step-by-step explanation:
I hope it’s right
Could anyone help with “b” on the bottom. I’m not sure what it’s asking. Thank you!!
Answer:
yes
Step-by-step explanation:
the question is asking if the mean helped you find the number that pops up the most, so in this case 3.
by using the mean we will do
0+0+3+3+5+7+2+2+3+3+3+5 divided by 12
giving us a result of 3, in this case YES it does help at better explaining the typical value
The distance between the points (2, -4) and (3, 8) is:
Answer:
1,12
Step-by-step explanation:
HELP ASAP BHYUKFCY FVCTUKF
Answer:
a
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
this is because both number are to the left of zero which makes both numbers negative which leaves you with one answer.
GIVING BRAINLY!!!!! PLSSSSS HELPPPP
the sum of two whole numbers is 63 . The difference between these 2 whole numbers is less than 10. FInd all the possible pairs
Answer:
(32, 31) (33,30) (34, 29) (35, 28) (36,27) (37, 26)
Step-by-step explanation:
Solve 7 + x - 15 = -2 2/3
Answer: i am 99.9% sure the answer is 16/3 or the other forms of it 5.3 repeating three or mixed number 5 1/3
e collect diswers.
Which statements are true about the function graphed here?
Answer:
Step-by-step explanation:
Just took the test I hope this helps a little
The y-intercept of line is at (0, -6) and the domain is (-∞, ∞). Then the correct options are A and D.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
The graph of the line is shown below.
The line intersects the y-axis at (0, -6). Then the y-intercept of the line is (0, -6).
The domain of the linear function will be a real number.
And the range of the linear function is also real number.
Then the correct options are A and D.
The graph is given below.
More about the linear system link is given below.
https://brainly.com/question/20379472
#SPJ2
Triangle ABC, with coordinates A(2, 3), B(3, 5), C(7, 4), is dilated by a scale factor of 2. What are the coordinates of the dilated figure, triangle A'B'C'?
A. A'(4, 6), B'(6, 10), C'(7, 4)
B. A'(2, 3), B'(3, 5), C'(7, 4)
C. A'(4, 6), B'(6, 10), C'(14, 8)
D. A'(4, 6), B'(3, 5), C'(14, 8)
what are the correct factor pairs of 20
Paula says that she can draw an array with a total of 17 counters placed in3 rows
Answer:
impossible
Step-by-step explanation:
17 divided by 3 is a number with a remainder
Multiple by 10 and 100
8*10=
Answer:
Step-by-step explanation:
80
The number of different simple random samples of size 5 that can be selected from a population of size 8 is
Answer:
Number of different simple random samples of size 5 that can be selected from a population of size 8 = 56 ways
Step-by-step explanation:
Step 1: Stating the combination formula
The number of selections of a number n, taking r at a time is given by the formula: [tex]\frac{n!}{(n - r!)r!}[/tex]
From the formula above, n is population size = 8
r is sample size = 5
Step 2: Substituting the values of n and r
Number of possible selections = 8!/(8 -5)*5! = 8!/3! * 5!
Number of possible selections = [tex]\frac{8*7*6*5*4*3*2*1}{3*2*1 * 5*4*3*2*1}[/tex]
Number of possible selections = 56
Therefore, number of different simple random samples of size 5 that can be selected from a population of size 8 = 56 ways
Jewelry store buys a gold watch to sell the price of the watch is marked up 45% the store sells the watch for $2610 how much did the jewelry store pay for the watch
Answer:
45 x 2610
100 = 1174.5
Step-by-step explanation:
Please help it’s a long test I’ve been at it for 2 hours
Answer:
the answer is A
Step-by-step explanation:
Hoped this helped u
Answer: Vertical Angles
Hope this helps :)
Rewrite the function by completing the square.
f(x) = x² – 12x – 29
Answer:
-6 and -65
Step-by-step explanation:
Solve for x. Give your answer as two exact values: please show steps
2^2 − 7 − 13 = 0
Answer:
No Solution
Step-by-step explanation:
2^2-7-13=0
4-7-13=0
-3-13=0
-16=0
No Solution
-4
- 2
What is the solution to the systems of equations shown above?
Helppp me :(
Answer:
6
Step-by-step explanation:
-4+-2 ?? did that hellp
What is the height of a solid cylinder with a mass of 26.05 g, a diameter of 3.56 cm, and a density of 2.72 g/cm^3?
Answer:
h = 0.962 cm
Step-by-step explanation:
Given that,
Mass of a solid cylinder, m = 26.05 g
The diameter of a cylinder, D = 3.56 cm
Radius, r = 1.78 cm
The density of a cylinder is 2.72 g/cm³
We need to find the height of the cylinder. Let it is h. We know that mass per unit volume is equal to density of an object. It can be given by :
[tex]d=\dfrac{m}{V}\\\\d=\dfrac{m}{\pi r^2 h}\\\\h=\dfrac{26.05}{\pi \times (1.78)^2\times 2.72}\\\\h=0.962\ cm[/tex]
So, the height of the cylinder is 0.962 cm.
which one is right?
l/w or w/l
the w is width and the l is length
Can someone please explain this to me ?
Answer:
Not sure how to explain but your answer is x=11
Step-by-step explanation:
Solve the system by Substitution.
x−y=7
−2x+7y=−19
A. No Solution
B. (6, -1)
C. (7, 6)
D. (6, 5)
Answer:
x=6 y=-1
Step-by-step explanation:
x=7+y
-2(7+y)+7y=-19
x=7+y
-14+5y=-19
x=7+y
5y=-5 ===> y=-1
x=7-1
y=-1
x=6
y=-1
Chen recorded the number of texts he sent and the number of tweets he posted each day for a month. The equation y = 5x + 4,
where x is the number of texts and y is the number of tweets, models the relationship between these two quantities. Identify the
slope and explain its meaning within this context.
Answer/Step-by-step explanation:
The relationship between number of texts, x, and number of tweets, y, is represented in the slope-intercept form by the equation, y = 5x + 4.
The slope of this equation is 5.
In this context, the slope, 5, means 5 tweets are made for every 1 text sent each day.
This slope is positive meaning, as text sent increases, also, tweets increased.
There are 8 more girls than boys in a school play. The ratio of boys to girls is 5:7. How many boys and how many girls are in the play?
Answer:
The total number of boys and girls in the play is 48
Step-by-step explanation:
Don't ask how I know this, I just do.
The number of boys in school play will be 20 and number of girls in school play will be 28.
What do you mean by ratio ?
Ratio is the quantitative relationship between two values indicating how frequently one value contains or is contained within the other.
It is given that number of girls is 8 more than boys in a school play.
Ratio of boys to girls = 5 : 7
Let's assume the total number of boys in school play is x.
This meant the total number of girls in school play is :
= x + 8
We can write them in proportion form as :
x : x + 8 = 5 : 7
or solving it we get :
[tex]\frac{x}{x+8}[/tex] = [tex]\frac{5}{7}[/tex]
or
7x = 5(x+8)
7x = 5x + 40
7x - 5x = 40
2x = 40
x = 20
or number of boys in school play is 20.
So , number of girls in school play will be :
= 20 + 8
= 28
Therefore , the number of boys in school play will be 20 and number of girls in school play will be 28.
Learn more about ratios here :
brainly.com/question/2914376
#SPJ2
What is this rate written as a UNIT RATE?
6 miles in 2 hours
Answer:
3 miles in 1 hour
Step-by-step explanation:
6÷2=3 miles
2÷2=1 hour
2. Niko was solving the equation 4(x-5)+7=13 and wrote as his first step 4x – 20+7=13. Which of the
following justifies this manipulation?
(1) the commutative property of multiplication
(2) the distributive property
(3) the multiplicative property of equality
(4) the additive property of equality
Answer:
2) The distributive property
Select the values that correctly complete the problem.
a = __
b = __
c = __
d = __
e = __
a = ✔ 2
b = ✔ 4
c = ✔ 3
d = ✔ 2
e = ✔ 3
