Solve the system of linear equations using matrices.
2x+y+z=3
-x+y-6z=-24
x+6y+6z=-4
The solution is ____ (Type an exact answer in simplified form.)
Answer:
(x, y, z) = (2, -4, 3)
Step-by-step explanation:
It is convenient to let an appropriate calculator reduce the augmented matrix to reduced row-echelon form. The rightmost column in that form is the solution vector [x, y, z].
__
If you want to solve this by hand, you can perform the following row operations to reduce the augmented matrix as shown in the attachment.
r1 ← r2 +r3; r2 ← (r2 +r3)/7 . . . . use this matrix for the next row replacement
r3 ← (r3 -r1 -4·r2)/11 . . . . . . . . . . use this matrix for the next row replacement
r1 ← r1 -2·r2 +5·r3
__
r1, r2, r3 refer to rows 1, 2, 3, respectively. The indicated multiplication and division are scalar operations, operating on each individual term in the row.
_____
Additional comment
Most graphing calculators have matrix solving functions. Apps are available for phone and tablet that will do this, and there are online websites that will reduce an augmented matrix as well.
Please answer the question in the image
Answer:
I don't know i just need the points
someone help please!!
Answer:
a - 145
b - 35
c - 145
d - 70
e - 70
f - 110
g - 55
h - 125
i - 55
j - 50
k - 50
l - 130
m - 50
n - 80
o - 50
p - 23
q - 89
r - 68
s - 157
t - 112
u - 48
v - 132
w - 132
x - 48
y - 48
z - 132
A - 48
B - 94
C - 86
D - 94
E - 47
F - 133
A line with a slope of
–
1
8
passes through the points (4,
–
7) and (
–
4,k). What is the value of k?
it is predicted that by 2050 there will be 10^10 people living on earth. approximatrly will be 10^12 trees. how many trees for each person?
Interesting question. Does that mean near the end of humanity?
Solution 1:
10^10 = 1,000,000,000
10^12 = 100,000,000,000
100,000,000,000/1,000,000,000 = 100 trees per person
Solution 2:
10^12 / 10^10 --- 10^10 / 10^10
10^2/1 = 10^2 = 100 trees per person
Solve for x. x+12−−−−−√=x√+2
~equality
x + 12 = x√+2
= x + 12 = √2 x
= x = √2 x - 12
= x - √2 x = -12
= (1 - √2)x = -12
= x = -12/1- √2
= x = -(-12(1 + √2))
= x = -(-12 - 12√12)
= x = 12 + 12√2 ✔️
~ nice to help you ^^
What is the cost of 4 pounds of apples, if 3 pounds of apples cost $5.28 and the unit price for each pound of apples is the same?
HELP ASAP!
Answer:
$7.04
Step-by-step explanation:
We use proportions so if 3/$5.28 = 4/x. X being the price of 4 pounds. X works out to 7.039 with the 9 infinitely repeating. We round it up for cents and we get $7.04
find the volume……,,..,,,,,…,,,,..
Answer:
I am pretty sure the answer is 27.02.
Step-by-step explanation:
Hope this helps!
1
Show that the matrix C = -2
- 2 3
4-5
--5 6
is symmetric.
3
Use a protractor to measure the
angle. Then identify it as either
acute, right, obtuse, or straight.
Name
Size
Answer:
Straight angle 180 degrees
HELP ME OUT PLEASE!
How many total atoms of Nitrogen are shown in the formula below?
O 2
O 4
O 6
O 8
Answer:
A) 2
Step-by-step explanation:
It shows it in the formula.
How many sides does a polygon have if the sum of the measures of its interior angles is 4,140?
Answer:
25
Step-by-step explanation:
180(s-2)=4140
180s-360=4140
add 360 to both sides
180s=4500
divide both sides by 180
s=25
PLEASE HELP ME IN THIS, THIS ASSIGNMENT IS DUE IN 4 MINUTES, ITS A 6TH GRADER QUESTION
Answer:
3
Step-by-step explanation:
jesushhhh
7433654 round to the nearest thousand
Answer:
Already rounded to the nearest thousandth.
7433654.000
Show all your working.
2
3
Income tax
Everyone can earn a certain amount of money without paying tax. This
is called a Personal Allowance. They must pay tax on any earnings
over this allowance.
4
5
6
£11 850
Income tax Personal Allowance, 2018/2019
7
8
This formula gives the amount of Income tax a person pays in a year
T = 0.2 (y-p)
9
10
where T = income tax for the year
y = money earned per year
p = Personal Allowance
11
12
13
14
15
A caterer earns £1375 per month.
Answer:
The gravitational force acting between the two bodies is given by:
F=G
r
2
m
1
m
2
G=
m
1
m
2
Fr
2
The dimension of the force is [MLT
−2
]
=
[M][M]
[MLT
−2
][L
2
]
=M
−1
L
3
T
−2
An electrician needs 1/2 of a roll of electrical wire to wire each room in a house. How many rooms can he wire with 1 1/2 rolls of wire?
I will give brainliest for answer and explanation
Answer: The number of rooms that can be wire with available rolls is 6 rooms Given as The quantity of roll of electrical wire does
Step-by-step explanation:
Hello. I am trying to figure out how to convert 17cm2 or cm squared to in2 (in squared)
Answer:
1 cm2 = 0.155 in2; 1 in2 = 6.4516 cm2
Step-by-step explanation:
Welcome, Brainlest Please?
(HELP PLEASE 1!!!!!1!!) How can you tell if data is continuous or discrete
Answer:
Socratic app
Step-by-step explanation:
it will help you
PLEASE HURRY!! (No links)
Solve the inequality
−2 (k − 5) < −2k + 2
Answer: simplify 0<-8 no solution
Step-by-step explanation:
42. A football team is at its own 25-yard line. In the next three plays, it loses an average of 4 Yards per play. Where is the team after the three plays?
2/-2.5+4.1+1.2(3+6)/-0.1
Answer:
-104.7Step-by-step explanation:
2 : (-2.5) + 4.1 + 1.2 * (3+6) : (-0.1 ) =
-0.8 + 4.1 + 10.8 : (-0.1) =
-0.8 + 4.1 + (-108) =
3.3 - 108 =
-104.7
If z varies directly as x and inversely as y and is equal to 4 when x and y have the values 12 and 8 respectively, what is the value of z when x is equal to 6/7 and y is equal to 5/28?
Answer:
[tex]z = \frac{2}{7} [/tex] when x= [tex] \frac{6}{7} [/tex],
z= 179.2 when y= [tex] \frac{5}{28} [/tex]
Step-by-step explanation:
Let's start by writing out the two general equations for z.
Since z varies directly with x,
z= kx, where k is a constant.
Since z varies inversely with y,
[tex]z = \frac{k}{y} [/tex], where k is a constant.
When x= 12, z= 4,
4= k(12)
12k= 4
k= 4 ÷12
k= ⅓
∴ z= ⅓x
When x=[tex] \frac{6}{7} [/tex],
[tex]z = \frac{1}{3} ( \frac{6}{7} )[/tex]
[tex]z = \frac{2}{7} [/tex]
When y= 8, z= 4,
[tex]4 = \frac{k}{8} [/tex]
k= 4(8)
k= 32
[tex]∴z = \frac{32}{y} [/tex]
When y= [tex] \frac{5}{28} [/tex],
[tex]z = 32 \div \frac{5}{28} [/tex]
[tex]z = 32 \times \frac{28}{5} [/tex]
z= 179.2
please work QUICK its a test
Can 4x + 10 can be simplified to 14x?
Answer:
NO
Step-by-step explanation:
“PEMDAS” (parenthesis, exponents, multiplication, division, addition, subtraction)
so you need to sole 4x and after add 10
Simplify the expression.
6(12 – 3) + 4 + (3 × 2)
64
96
144
208
Answer:
64
Step-by-step explanation:
6(12-3) + 4 + (3×2)
6(9) + 4 + 6
54 + 4 + 6
= 64
(3,1);m=4
(Write an equation in point slope form of the line that passes through the given point and has the given slope)
If two events (both with probability greater than 0) are mutually exclusive, then:
Answer:
they are not independent
Step-by-step explanation:
they are not independent they would be independent if they didn't depend on each other or if the probability didn't affect the other.
A desk is on sale for 15% off. The sale price is $612.
What is the regular price?
Answer:
$720
Step-by-step explanation:
Step 1: Set up the expression.
[tex]\frac{612}{1-0.15}[/tex]Step 2: Simplify.
[tex]\frac{612}{0.85}[/tex]Step 3: Convert 0.85 into a fraction.
[tex]612/ \frac{85}{100}[/tex] [tex]612/ \frac{17}{20}[/tex]Step 4: Multiply 612 by reciprocal of 17/20.
[tex]612 * \frac{20}{17}[/tex] [tex]36 * 20[/tex] [tex]720[/tex]Therefore, the regular price was $720.
Set A contains all prime numbers squared. Set B contains all multiples of 4. How many numbers are in the intersection of Set A and Set B
Answer:
The intersection operation is denoted by the symbol ∩. The set A ∩ B—read “A intersection B” or “the intersection of A and B”—is defined as the set composed of all elements that belong to both A and B. Thus, the intersection of the two committees in the foregoing example is the set consisting of Blanshard and Hixon.
-6x + 30 < -18. Help pls
Hello, hope you are having a splendid day.
-6x+30<-18
First, move all the numbers to the right, using the opposite operation:
-6x<-18-30
-6x<-48
Divide both sides by -6:
x>8
Now, if we divide both sides by a negative variable, we change the inequlaity sign.
Hope it helps.
Ask me if you have any queries.
[tex]MagicalNature[/tex]
Good luck.
Answer:
[tex]\boxed{\boxed{\sf x>8}}[/tex]
Step-by-step explanation:
[tex]\sf -6x\:+\:30\:<\:-18[/tex]
Subtract 30 from both sides:
[tex]\sf -6x+30-30<-18-30[/tex][tex]\sf -6x<-48[/tex]Multiply both sides by -1 :
[tex]\sf \left(-6x\right)\left(-1\right)>\left(-48\right)\left(-1\right)[/tex][tex]\sf 6x>48[/tex]Divide both sides by 6:
[tex]\sf \cfrac{6x}{6}>\cfrac{48}{6}[/tex][tex]\sf x>8[/tex]___________________________________