Perform the indicated operations:
-1
4
-4
4
-4
-1
6
-7
-4
-7
-4
2R2 + R3 R3
-4
6
2
-4
8
2
6
-4
30
Answers
Answer:
Step-by-step explanation:
The solution is, resulting matrix:[tex]\left[\begin{array}{ccc}4&-1&-4\\-4&6&2\\0&8&10\end{array}\right][/tex][tex]\left[\begin{array}{ccc}-7\\-4\\22\end{array}\right][/tex].
What is Matrix?In mathematics, a matrix is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object or a property of such an object. For example, is a matrix with two rows and three columns.
here, we have,
given that,
We are given a matrix,
Let A=[tex]\left[\begin{array}{ccc}4&-1&-4\\-4&6&2\\8&-4&6\end{array}\right][/tex]
and B=[tex]\left[\begin{array}{ccc}-7\\-4\\30\end{array}\right][/tex]
We have to find the resulting matrix after performing given row operations
2R2 +R3 ⇒ R3
Apply
we get,
:A=[tex]\left[\begin{array}{ccc}4&-1&-4\\-4&6&2\\0&8&10\end{array}\right][/tex]
and, B=[tex]\left[\begin{array}{ccc}-7\\-4\\22\end{array}\right][/tex]
Hence, resulting matrix
[tex]\left[\begin{array}{ccc}4&-1&-4\\-4&6&2\\0&8&10\end{array}\right][/tex][tex]\left[\begin{array}{ccc}-7\\-4\\22\end{array}\right][/tex]
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Related Questions
Find the Slope.
(2, 8) and (4, -3)
Answers
si en una caja hay 5 pelotas una verde una amarilla.una azul.una negra y una roja ya a salido la rija y la verde cual es la posibilidad de sacar la azul en una cuarta vez
Answers
Answer:
uno a tres
Step-by-step explanation:
Creo que es correcto
Avísame si estoy equivocado
Y que tengas un feliz día de acción de gracias
What are the solutions of this graph? *
Answers
1) The value of y varies directly with x. If x = 3, then y = 13.
Show your work for finding the value of x when y = 39?
Answers
Answer:
When y is 39 x is 3.
Step-by-step explanation:
Proportions!
x = 3
y = 13
We need to find our multiplier first. How did 13 turn into 39?
39/13 = 3
13 * 3 = 39
We multiplied by 3!
Now we multiply x by three to keep the propotion, proportional!
x= 3
(3) * 3 = 9
Now we make the proportion
3 : 39
When y is 39 x is 3.
Consider Brainliest! Hope this helped!
HELP! will give brainliest!!! The United States released 5.877 billion metric tons of carbon
dioxide into the environment through the burning of fossil fuels in a recent year. If
1 trillion pounds = 0.4536 billion metric tons, how many trillion pounds of carbon
dioxide did the United States release in that year?
Answers
Answer:
13.0 trillion pounds of carbon dioxide
Step-by-step explanation:
5.877 ÷ 0.4536 = 12.9563492063
rounded to 1 decimal place =
13.0 trillion pounds of carbon dioxide
The carbon dioxide released by United States is 12.9563 trillion pounds
What is conversion?In math, conversion is the process of changing the value of one form to another for example inches to millimeters, or liters to gallons.
Now it is given that,
Amount of carbon dioxide released by United States = 5.877 billion metric tons
It is also given that,
1 trillion pounds = 0.4536 billion metric tons
So, 1 billion metric tons = (1/0.4536) trillion pounds
Thus, 5.877 billion metric tons = (5.877/0.4536) trillion pounds
⇒ 5.877 billion metric tons = 12.9563 trillion pounds
Thus, the carbon dioxide released by United States is 12.9563 trillion pounds
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What is the standard deviation of this data? Round your answer to the nearest hundredth of a number?
10, 12, 8, 2
Answers
Answer:
3.74
Step-by-step explanation:
Count, N: 4
Sum, Σx: 32
Mean, μ: 8
Variance, σ2: 14
Hope this helped!
HELP!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
56 riders
Step-by-step explanation:
With the proportion given, cross multiply, then divide:
70 × 80 = 56005600 ÷ 100 = 56So, the answer is 56 ridersI hope this helps!
[tex] \:\:\:\:\:\frac{70}{100} = \frac{x}{80} \\ \\ = > \frac{7 \cancel0}{10 \cancel0} = \frac{x}{80} \\ \\ = > x = \frac{7 \times 80}{10} \\ \\ = > x = \frac{7 \times 8 \cancel0}{1 \cancel0} \\ \\ = > x = \green{\boxed{56 \: rides}}[/tex]
if a football is thrown upward, its height above the
ground is given by the equation s=-16t^2+Vot+so, where
Vo and so are the initial velocity and intial height of the
Football, respectively, and t is the time in seconds.suppose
the football is thrown from the top of a building that is
192 feet tall, with an initiae speed of 96 feet per second.
a)write the polynomial that gives the height of the Football in terms
of the variable t (time)
b) what is the height of the Football after 2 seconds have
Clapsed? Will the football hit the ground after 2 seconds?
Answers
Answer:
a) s = -16[tex]t^{2}[/tex] + 192t + 96
b) Height of the football after 2 seconds is 448 feet.
ii. The football would not hit the ground after 2 seconds.
Step-by-step explanation:
Given:
s = -16[tex]t^{2}[/tex] + [tex]V_{o}[/tex]t + [tex]s_{o}[/tex]
where: s is the height of the football above the ground, t is the time, [tex]V_{o}[/tex] is the initial velocity and [tex]s_{o}[/tex] is the initial height.
The height of the building = [tex]V_{o}[/tex] = 192 feet and the initial speed of the ball = [tex]s_{o}[/tex] = 96 feet per second, then;
s = -16[tex]t^{2}[/tex] + 192t + 96
a) The polynomial is given as:
s = -16[tex]t^{2}[/tex] + 192t + 96
b) The height of the football when t = 2 seconds is;
s = -16(2) + 192(2) + 96
= -32 + 384 + 96
= -32 + 480
s = 448
The height of the football when t = 2 seconds is 448 feet.
ii. The football would not hit the ground after 2 seconds.
-4x 3 y 2(7xy 4) i need help
Answers
Answer:
−672x2y2
Step-by-step explanation:
The answer is:
-28x^4y^6
i need somebody help on this test i am Taking
Answers
Answer:
ok and thank you for point
3X +17+ 5X equals 7X +10
Answers
you minus 7x to the left side and minus 17 to the right side then you get x= 10-17 which is x=-7
Answer:
I think the answer is x= -7.
Think About the Process The length of a rectangle is twice the width. The area of the rectangle
is 86 square units. Notice that you can divide the rectangle into two squares with equal area. How
can you estimate the side length of each square? Estimate the length and width of the rectangle.
How can you estimate the side length of each square?
OA. Estimate V86.
OB. Estimate V43 .
V 86
OC. Estimate
4.
43
OD. Estimate
4
The rectangle is units long and units wide.
.
(Round to the nearest tenth as needed.)
Answers
Answer:
length of each square= [tex]\sqrt{43}[/tex] ≈ 6.6
the length of the rectangle = 2[tex]\sqrt{43}[/tex] ≈ 13.1
width of the rectangle ≈ [tex]\sqrt{43}[/tex] ≈ 6.6
Step-by-step explanation:
F(-3,2)G(-3-1)H(-1,-1)I(0,1) rotation by 270 degrees about the origin
Answers
Answer:33
Step-by-step explanation:
At the candy store, Sophie filled a bag with 2\dfrac232 3 2 2, start fraction, 2, divided by, 3, end fraction kilograms of candy. \dfrac14 4 1 start fraction, 1, divided by, 4, end fraction of the weight of the candy was from chocolate covered pretzels.
Answers
Answer:
[tex]Chocolate\ Weight = \frac{2}{3}kg[/tex]
Step-by-step explanation:
Given
[tex]Candies =2\frac{2}{3}\ kg[/tex]
[tex]Chocolate = \frac{1}{4}[/tex] of the candies
Required
Determine the weight of the chocolate pretzels ---- This completes your question
To determine the weight, we simply multiply the fraction of chocolates by the total weight of the candies.
i.e.
[tex]Chocolate\ Weight = \frac{1}{4} * 2\frac{2}{3}[/tex]
Convert Fraction
[tex]Chocolate\ Weight = \frac{1}{4} * \frac{8}{3}[/tex]
[tex]Chocolate\ Weight = \frac{1 * 8}{4 * 3}[/tex]
[tex]Chocolate\ Weight = \frac{8}{12}[/tex]
Simplify
[tex]Chocolate\ Weight = \frac{2}{3}kg[/tex]
how to simplify this ......
Answers
4x^-6= 2x^-3
9y^-4= 3y^-2
If a negative exponent is in the numerator, move the expression to the denominator and make the exponent positive
So instead of 2x^-3/3y^-2 make it
2y^2/3x^3
So
The answer will be 2y^2/3x^3
Hope this helps
STEP BY STEP EXPLANATION
A function is defined by f(x)= x/4. What is f(-8)?
- 2
- -1/2
- 1/2
- 2
Answers
Answer:
need this as quick as possible pls
Step-by-step explanation:
Answer:
[tex]f(-8)=-2[/tex]
Step-by-step explanation:
We have the function:
[tex]f(x)=\frac{x}{4}[/tex]
And we want to find f(-8).
So, simply substitute -8 for x. This yields:
[tex]f(-8)=\frac{-8}{2}[/tex]
Divide:
[tex]f(-8)=-2[/tex]
Hence, our answer is -2.
5)A plumber charges $25 for a service call plus $50 per hour of service. Write an equation in slope-intercept form for the cost, C, after h hours of service.
Answers
Answer: your Answer is $75 dollars.
Step-by-step explanation:
$25 + $50 = $75
Answer:
[tex]C = 50x + 25[/tex]
Step-by-step explanation:
The $50 charge can be interpreted as the slope, as it varies based on the amount of time the service takes. The $25 can be interpreted as the y-intercept, as you'll get charged $25 no matter how long the service takes. Thus, we can plug these values into the slope-intercept form equation.
[tex]y = mx + b\\C = 50x + 25[/tex]
el número de llegadas al servicio de urgencias de un hospital es de 2 cada 15 min. Si se supone que
el numero de llegadas se distribuye en un modelo de Poisson, se pretende calcular la probabilidad
de que en los próximos 15 min se produzcan 4 llegadas.
Ayuda por favor, es urgente.
Answers
Answer:
Uh I don’t speak u language
Step-by-step explanation: Sorry :/
Which points (0,6) (7,9) (2,3) go through the line 3x+2y=12
Answers
(0,6)
Explanation
Which point on the y-axis lies on the line that passes
through point G and is parallel to line DF?
O (-2, 0)
0 (0,-2)
0 (0,4)
O (4,0)
Answers
Answer:
Step-by-step explanation:
y = mx + b , "m" is a slope and "b" is y-intercept (0, b)
~~~~~~~~~~
G(- 4, - 4)
Slope [tex]m_{DF}[/tex] = 2
y + 4 = 2(x + 4)
y = 2x + 4 ⇒ (0, 4)
please help:) please help:)
Answers
Hope it helpss
Answer:
Your answer is A) =
Step-by-step explanation:
100 - 2(20)
100 - 40 = 60
3(20) = 60
PIC BELOW
Need answer ASAP
Answers
Option D. 17/10 or 1.7 is correct or 1 7/10 is also correct :)
Answer:
I'm sure the answer is 1 7/10
Step-by-step explanation:
I fixed my computer. Here's the reason:
7/2 - 9/5 = 17/10 = 1 7/10
Sorry about the last question hope this one helps! :3
What do the following two equations represent?
• Y = -3x -1
• y +5 = -3(x-2)
Answers
Answer:
Step-by-step explanation:
If you look this up on google there's an answer key!!! If you look this up it will be the 4th link!
Solve for x: 4 over 5 x + 4 over 3 = 2x x = Write your answer as a fraction in simplest form. Use the "/" symbol for the fraction bar. (2 points)
Answers
Answer:
x = 10/9
Step-by-step explanation:
Solve for x:
(4 x)/5 + 4/3 = 2 x
Put each term in (4 x)/5 + 4/3 over the common denominator 15: (4 x)/5 + 4/3 = (12 x)/15 + 20/15:
(12 x)/15 + 20/15 = 2 x
(12 x)/15 + 20/15 = (12 x + 20)/15:
(12 x + 20)/15 = 2 x
Multiply both sides by 15:
(15 (12 x + 20))/15 = 15×2 x
(15 (12 x + 20))/15 = 15/15×(12 x + 20) = 12 x + 20:
12 x + 20 = 15×2 x
15×2 = 30:
12 x + 20 = 30 x
Subtract 30 x from both sides:
(12 x - 30 x) + 20 = 30 x - 30 x
12 x - 30 x = -18 x:
-18 x + 20 = 30 x - 30 x
30 x - 30 x = 0:
20 - 18 x = 0
Subtract 20 from both sides:
(20 - 20) - 18 x = -20
20 - 20 = 0:
-18 x = -20
Divide both sides of -18 x = -20 by -18:
(-18 x)/(-18) = (-20)/(-18)
(-18)/(-18) = 1:
x = (-20)/(-18)
The gcd of 20 and -18 is 2, so (-20)/(-18) = (-(2×10))/(2 (-9)) = 2/2×(-10)/(-9) = (-10)/(-9):
x = (-10)/(-9)
Multiply numerator and denominator of (-10)/(-9) by -1:
Answer: x = 10/9
Given point (8,0) and slope 2/3, fill in the blanks to put in point slope form. y-____=____(x-___) *
Answers
Answer:
3y = 2(x -8)
Step-by-step explanation:
this is the sol I could provide
The correct answer is y-0=2/3•(x-8).
Use the given slope and point to substitute into the point-slope formula y−y1=m(x−x1).
The sum of two numbers is 29 The difference is 9 Find the numbers
Answers
Answer:
19 and 10
Step-by-step explanation:
please mark brainliest :))
Which choice shows the correct solution to 2528 ÷ 8?
Answers
Answer:
B.
Step-by-step explanation:
Hope it helps!
Using the periodic table, choose the more reactive nonmetal.
Si or S
Answers
Answer:
S
Step-by-step explanation:
S is closer to the top right of the table, which is a generally good rule for determining reactivity of NONMETALS. METAL reactivity increases to the bottom left.
Mary made a 48.5% on her math test. Which of the following shows a fraction and a decimal equivalent to 48.5%? 485 A and 0.485 10.000 485 B and 48.5 100 485 С and 4.85 100 485 D and 0.485 1.000
please show me the work I need it right know☹️
Answers
B.
you can eliminate A and D because grades are distributed by 100. and c only has 4.85 when the question says she made a 48.5
Answer to this please?
Answers
Answer:
D) 117
Step-by-step explanation:
All angles of a triangle will always add up to 180 degrees. Thus, 22 + 41 = 63, 180 - 63 = 117.