Write the system of equations as a matrix equation AX=B, with A as the coefficient matrix of the system.
Please help!
Answers
Answer:
[tex]\left[\begin{array}{ccc}1&2\\6&7\end{array}\right]\cdot \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}0\\-10\end{array}\right][/tex]
Step-by-step explanation:
The system of equation in matrix form is defined by following vector formula:
[tex]\vec A \cdot \vec x = \vec b[/tex] (1)
Where:
[tex]\vec A[/tex] - Matrix of coefficients.
[tex]\vec x[/tex] - Column vector of variables.
[tex]\vec b[/tex] - Column vector of results.
If we know that [tex]x + 2\cdot y = 0[/tex] and [tex]6\cdot x + 7\cdot y = -10[/tex], then the system of equations in matrix form is:
[tex]\vec A = \left[\begin{array}{ccc}1&2\\6&7\end{array}\right][/tex], [tex]\vec x = \left[\begin{array}{ccc}x\\y\end{array}\right][/tex], [tex]\vec b = \left[\begin{array}{ccc}0\\-10\end{array}\right][/tex]
Then,
[tex]\left[\begin{array}{ccc}1&2\\6&7\end{array}\right]\cdot \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}0\\-10\end{array}\right][/tex]
Related Questions
Are the triangles similar ? If so which shortcut (SSS, SAS, AA) proves they are similar?
Answers
Answer:
Yes, SAS.
Step-by-step explanation:
3/5 = 0.6 and so does 4.8/8
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Answers
the y intercept is -2
and the slope is 3/4
slope= change in y/change in x
What is the volume of a square pyramid with a base area of 36 and a height of 9 cm?
o 36 cm
o 108 cm
o 18 cm
o 324 cm
Answers
Answer:
D (108)
Step-by-step explanation:
I did test
The volume of a square pyramid with a base area of 36 and a height of 9 cm is 108 cm. The correct option is B.
What is pyramid?A pyramid is a polyhedron with triangular faces that meet at a common vertex and a polygonal base.
The name of the pyramid is determined by the shape of the base. A pyramid with a square base, for example, is called a square pyramid; a pyramid with a triangular base, a triangular pyramid; and so on.
The formula to find the volume of a square pyramid is given by:
V = (1/3) x base area x height
Substituting the given values, we get:
V = (1/3) x 36 x 9
V = 108
Thus, the correct option is B.
For more details regarding pyramid, visit:
https://brainly.com/question/17615619
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Which is more 35 inches or 3 feet
Answers
Answer:
3 feet
Step-by-step explanation:
3 feet is more because 35 inches = 2 feet and 11 inches.
PLZZZZ HELP THIS IS WORTH 40 POINTS PLZZZ
I’ll give extra points!!!
Answers
Answer:
1) 15
2) 10
3) 11
4) -4
5) -8
6) 12
7) 14
8) -6
Step-by-step explanation:
Substitute the values thats all lol, if u need a more detailed explanation just comment <3
PLS HELP THIS IS FOR A GRADE AN IS TIMED
Answers
Answer: 392
Step-by-step explanation:
a circus charges $2.50 for a kid tickets and $6 for adult tickets. Last weekend, twice as many kids attended the circus than adults. If the tickets sales totaled $7, 150, how many kids attended the circus?
Answers
Find the area of the shape shown below.
Answers
Answer:
55 units²
Step-by-step explanation:
square = 25
triangle = 30
both = 55
Your goal is to have $200,000 in a 401K that is compounded continuously in order to retire. If you invest $9,500 for fifty years at a rate of 7%, will you reach your goal?
Answers
Answer:
Yes
Step-by-step explanation:
You will get $279,841.74 in that 50 years.
Question 1 (2 point)
(16.02 LC)
Which shape can be classified as a rectangle? (2 points)
a
Rhombus
Сь
Square
c
Trapezoid
d
Parallelogram
Answers
Mr. Rosas had $90 to purchase snacks for a school party. He bought 36 bags of chips and 36 bottles of juice. Each bag of chips cost $0.69, and each bottle of juice cost $1.20. How much money did Mr. Rosas have left after these purchases?
Answers
Answer:
$21.96
Step-by-step explanation:
Total money with Mr. Rosas = $90
Total cost of chips = 36*0.69 = $24.84
Total cost of juices = 36*1.20= $43.2
Total money spent = $24.84 + $43.2 = $68.04
Money left with Mr. Rosas
= $90 - $68.04
= $21.96
He determined that the value of 6 in 76,345 is 100 times the value of 6 in 34,675. Part A: Is Lucas right? Part B: Explain why Lucas is right or wrong.
Answers
Answer:
Lucas is not right.
Step-by-step explanation:
To find: whether the value of 6 in 76,345 is equal to 100 times the value of 6 in 34,675
Solution:
Value of 6 in 76,345 = 6,000
Value of 6 in 34,675 = 600
Now 6000 = 10 × 600
So,
Value of 6 in 76,345 is equal to 10 times the value of 6 in 34,675.
Therefore, Lucas is not right.
Answer:
Part A: Lucas is wrong.
Part B: The value of 6 in 76,345 is 6,000 and the value of 6 in 34,675 is 600.
Part C: The value of 6 in 76,345 is equal to 10 times the value of 6 in 34,675.
10 × 600 = 6,000
Step-by-step explanation:
I put this on each of my answers and I got all three parts correct. Hope this helps you!!!!
Please mark my answer as the Brainiest!!!!!
Thank You!!!!!!!!
Based on the samples collected if there are 10000 voters in the town how many voters can we predict will vote for smith
Answers
The question is incomplete and a question match couldn't be found online. However, an hypothetical solution will be provided
Answer:
Kindly check explanation
Step-by-step explanation:
We can make prediction about a population based on the outcome of a sample statistic.
From a random sample of voters, n ; the number who voted Smith = x
(p = x / n) gives the proportion of votes Smith will get according to the sample :
For instance :
n = 100 ; x = 10
p = 10 / 100 = 0.1
The predicted Number of votes Smith will Get if there are 10000 voters :
p * 10000
0.1 * 10000
= 1000 votes
If the parent function is y = 3^x,which is the function of the graph?
Answers
Answer:
[tex]y = 3x + _ 2[/tex]
Step-by-step explanation:
The graph of y = 3^x will pass through the point (0, 1). This graph passes through the point (-3, 1); it has been shifted to the left 3 units.
A function can be translated, or shifted, to the left by adding a number to x before the function is applied; in this case, it means adding 3 to x before the base is raised to the power. This gives us
This graph has also been translated, or shifted, down 2 units. This can be done by subtracting a number from the end of the function; this gives us
Factorizar Sumas de cubo
1) 8x³ + 1
2) 27a³ + b³
3) 8x³ + 1,000
Answers
[tex] \huge{\mathbb{{ANSWERS}}}[/tex]
1.) 8x³ + 1
[tex] \underline{ \tt{{(2x + 1) \times (4 {x}^{2} - 2x + 1)}}}[/tex]2.) 27a³ + b³
[tex] \underline{ \tt{{(3a + b) \times (9{a}^{2} - 3ab + {b}^{2})}}}[/tex]3.) 8x³ + 1,000
[tex] \underline{ \tt{{8(x + 5) \times ( {x}^{2} - 5x + 25)}}}[/tex]Note: My anwer is base on my knowledge
Hopefully Help:)
#CarryOnLearning_MafiaQueen4
HELPP asap I’ll mark you as brainlister
Answers
Answer:
65.97
Step-by-step explanation:
Don't really know how to explain how to do this, but Omni Calculator is very helpful.
Hope that this helps!
help please, solve for D
12
25
4
5
Answers
Answer: 81.98274589 is what i got but it will be 81 hope this helped
Step-by-step explanation:
Hey math can you help
Answers
-17.5/5 = -3.5
NOW YOU THINK THATS YOUR ANSWER BUT NOO. You CANNOT have a negative second. So you take the absolute value of -3.5 and your answer would be 3.5
The rate of the anchor is 3.5 meters per second.
The value of 23 + 33
Answers
Answer:
56 hope it helps....
hhcxxghjo9
Answer:
2^3 + 3^3 = 35
Step-by-step explanation:
You can simply use a calculator on your PC, phone, tablet, or macbook. If you just add 2 to the 3rd power and 3 to the 3rd power then you'd get 35. I'm sorry I'm not really good at math but I just wanted to give you a simpler way to do this problem considering it is not too hard to solve.
what are the components of a proofs in proving that two triangle are congruent?
Please answer it i need now i will follow,br,ainlist,thanks.
Answers
Answer:
If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent.
Step-by-step explanation:
please helpppppppppppppp
Answers
Answer:
x=90
Step-by-step explanation:
3x-160 = x+20. Why you may ask? they are corresponding angles which makes them congruent. 2x = 180, so x = 90
Answer:
90
Step-by-step explanation:
angle 1 and 4 are equivalent so:
3x - 160 = x + 20
_________________
3x - 160 = x + 20
+160 I +160
3x = x + 180
- x I - x
2x = 108
÷2 I ÷2
x = 90
12. Solve for x. x = ___________
Answers
Step-by-step explanation:
this is math right what grade is this
5.
Draw a scatter plot that shows a negative association that is not linear.
Answers
SOMEONEEEE HELLPPPPPPP PLEASE?!??!
Answers
Answer:
(1,4)
Step-by-step explanation:
the Answer is: (x,y)=(1,4)
find the missing side. round to the nearest tenth.
Answers
Answer:
A. 5.2
Step-by-step explanation:
I was taught how to do this using the SOH CAH TOA method.
Step 1: Circle your given angle.
Step 2: Label O, H, and A. The line across from your circled angle will be labeled O. The side across from the right angle is H. The last unmarked side is A.
Step 3: Cross off the useless side, in this case, that would be A because there is no corresponding information.
Step 4: Identify if it is sine, cosine, or tangent using SOH CAH TOA. In this case, you only have an O and H so we will use SOH.
Step 5: Set up the equation. The equation is [tex]\frac{sine(31)}{1} =\frac{x}{10}[/tex]. We will use sine of the given angle is equal to the side marked O over the side marked H.
Step 6: Solve for x until x is by itself, then enter into your calculator.
You will enter [tex]sine(31) * 10[/tex] into your calculator and round if necessary.
You have $25 in your bank account. You start saving $9 each week. Your friend has
$10 in his account and is saving $12 each week. Which system of equations could be
used to model the total amount in the bank account, t as a function of weeks, w.
A)t=9w+25. T=12w+10
B)t+w=25. 10t+9w=12
C)t=9w+12w. T=10w+12
D)t=9w+12w. T+w=25
Answers
Answer:
A)t=9w+25. T=12w+10
Step-by-step explanation:
Equation for you:
t = 25 + 9w
Equation for friend:
t = 10 + 12w
Josh gets paid at a rate of $10.73 per hour. He also gets paid time and a half for overtime (over 40 hours). If he worked 47 hours this week, what is his pay before taxes?
Answers
Answer:
$541.90
Step-by-step explanation:
We'll start with his regular pay, 40 hours times $10.73
10.73 x 40 = 429.20
His overtime pay is 10.73 + 1/2(10.73) = 10.73 + 5.365 = 16.095, rounded to 16.10
He worked 7 hours at the rate of $16.10/hour
16.10 x 7 = 112.70
Add the two totals together for his total pay before taxes:
429.20 + 112.70 = 541.90
Please lmk if you have questions.
If h(x) = 2x and k(x) = 2x - 4, what is h(k(x))?
Answers
To find h(k(x)), substitute k(x) into h(x):
h(k(x)) = 2x
= 2(2x - 4)
= 4x - 8
Thus, h(k(x)) = 4x - 8 would be your final answer.
how many 3 digit whole numbers are there between 99 and 1000
Answers
Answer:
901
Step-by-step explanation:
1000 - 99 = 901
thats how you find the answer
Answer:
910
Step-by-step explanation:
GameStop pays $12.00 for each Minecraft video game. They markup each game by 40%. What is the selling price?
Answers
Answer:
$16.80
Step-by-step explanation:
12 * 1.4 = 16.8
Answer:
$16.80
Step-by-step explanation:
Find 40 % of 12 by multiplying .05*12 to get $4.80. Add the original price $12 and the price increase $4.80 to get the new selling price of $12
