Answers
[tex](i)\\\\2A = \begin{pmatrix}3x \times 2 & 1 \times 2 & 5 \times 2\\0\times 2 & 2x \times 2 & -3 \times 2\end{pmatrix} = \begin{pmatrix}6x & 2 & 10\\0 & 4x & -6\end{pmatrix}\\\\\\(ii)\\\\2A + B = C\\\\\implies \begin{pmatrix}6x & 2 & 10\\0 & 4x & -6\end{pmatrix} + \begin{pmatrix}y & 0 & -4\\1 & -3y & 2\end{pmatrix} = \begin{pmatrix}31& 2 & 6\\1 & 17& -4\end{pmatrix}[/tex]
[tex]\implies \begin{pmatrix}6x+y & 2+0 & 10-4\\0+1 & 4x-3y & -6+2\end{pmatrix} = \begin{pmatrix}31 & 2 & 6\\1 & 17& -4 \end{pmatrix}\\\\\\\implies \begin{pmatrix}6x+y & 2 & 6\\1 & 4x-3y & -4\end{pmatrix} = \begin{pmatrix}31 & 2 & 6\\1 & 17& -4 \end{pmatrix}\\\\\text{System of equations},\\\\6x +y =31,~~ 4x -3y = 17\\\\\\(iii)\\\\6x +y-31 =0 \\\\4x-3y -17=0\\\\\text{Solving by cross multiplication method}\\\\\\\dfrac x{1(-17) - (-31)(-3)} = \dfrac y{4(-31) - 6(-17)} = \dfrac 1{6(-3) - 4(1)}[/tex]
[tex]\implies \dfrac{x}{-17 -93} = \dfrac{y}{-124 +102} = \dfrac 1{-18-4}\\\\\\\implies -\dfrac{x}{110} = -\dfrac{y}{22} = -\dfrac 1{22}\\\\ \implies \dfrac{x}{110} = \dfrac{y}{22} = \dfrac 1{22}\\\ \\\text{Hence,}\\\\\\x=\dfrac{110}{22}=5,~~~~ y= \dfrac{22}{22} =1[/tex]
Answer:
(i)
[tex]2A=\left[\begin{array}{ccc}6x&2&10\\0&4x&-6\end{array}\right][/tex]
(ii) 6x+y=31; 4x-3y=17
(iii) (x, y) = (5, 1)
Step-by-step explanation:
(i)The matrix 2A is written by multiplying each element of A by 2.
[tex]2A=\left[\begin{array}{ccc}6x&2&10\\0&4x&-6\end{array}\right][/tex]
__
(ii)Variables are seen in elements (1, 1) and (2, 2) of the matrices A and B, so the simultaneous equations can be chosen from those elements of the equation 2A+B=C.
6x+y=314x-3y=17__
(iii)A graphing calculator shows the solution to be (x, y) = (5, 1).
Related Questions
PLEASE HELP. Select all the correct answers.
Which sequences of transformations applied to shape I prove that shape I is similar to shape II?
reflection across the x-axis, followed by a reflection across the y-axis, and then a dilation by a scale factor of 0.5
a 90° counterclockwise rotation about the origin, and then a dilation by a scale factor of 0.5
a 180° counterclockwise rotation about the origin, and then a dilation by a scale factor of 0.5
a translation 2 units down and 5 units left, and then a dilation by a scale factor of 0.5
Answers
Answer: 2 4 3
Step-by-step explanation:
Can someone please explain how to do the complex algebraic equation? I couldn't find any answers online
Answers
please explain why. Thanks
Answers
Is (x-2) is a factor of x³-3x²-x +7 –
Yes No ☑Explanation :-We are given –
Polynomial function, P(x) = x³-3x²-x +7In order to check if x - 2 is a factor of x³-3x²-x +7 or not, we must show that P(2) = 0.Let's find value of x![tex]\qquad[/tex] [tex]\twoheadrightarrow\bf P(x) = x³-3x²-x +7[/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf Q(x) =x - 2 [/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf If \:Q(x) = 0[/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf x - 2 = 0[/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf x = 2[/tex]
Now Put x = 2 into the polynomial –
[tex]\qquad[/tex] [tex]\purple{\twoheadrightarrow\bf P(2) = 2³-3(2)²-2+7}[/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf P(2) = 8 - 3 \times 4 +5[/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf P(2) = 8 -12 +5[/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf P(2) = 13-12[/tex]
[tex]\qquad[/tex] [tex]\purple{\twoheadrightarrow\bf P(2) =1 }[/tex]
Since the value of the polynomial function st x = 2 is not Zero (0). Henceforth, ( x - 2) is a factor of x³-3x²-x +7.________________________________________
Solve the subtraction equation three fifths minus one third equals blank. Use multiplication to create equivalent fractions.
two halves
two fifteenths
four eighths
four fifteenths
Answers
Answer:
its four fifteenths
Step-by-step explanation:
3/5 = 9/15
1/3 = 5/15
9/15 - 5/15 = 4/15
4/15 = four fifteenths
For a friend who's struggling
"Omar and Deb each have a digital music player. Deb has 37 more songs on her player than Omar on his player. Write an expression in simplest form that represents the total number of songs on both players.
Will give brainliest!
Answers
varables:
O= omar songs\
S= total # of songs
equation:
2o+37= S
Hoped that helped:)
The points in the table lie on a line. Find the slope of the line.
Answers
Hope this helps!
Tell whether the ordered pair is a solution to the equation (-2, 3); y = -2x - 1
Answers
Answer:
yes, it a solution
Step-by-step explanation:
Rename 3/4 and 9/10 using the least common denominator
Answers
The population of a city, y, in thousands of people, measured x years after 1800 can be modeled by the regression equation
y = 187.6/1 + 29.4e^-0.03x
Which statement best interprets a value in the equation?
The city population in 1800 was 187,600 people.
The city population grows by 29,400 people per year.
The limiting value of the city population is 29,400 people.
The limiting value of the city population is 187,600 people.
Answers
Answer:
D. The limiting value of the city population is 187,600 people.
Step-by-step explanation:
I'm honestly not sure, but it's based on the 187.6 on top of the equation. Correct on Edge 2021
Which expression is equivalent to
Answers
Step-by-step explanation:
this is very blurry. please make sure you pick the answer option that is the exact result of the solution here.
to get the full result, we can split the individual multiplications of fractions apart, simplify the individual fractions, and then simply connect them again :
-9/-15 = 3/5
x^‐1/x⁵ = 1/x¹x⁵ = 1/x⁶
y^-9/y^-3 = y³/y⁹ = 1/y⁶
so, by multiplying all 3 parts together again we get
3/(5x⁶y⁶).
I suspect this is the second answer option, but please make sure.
If F is the function defined by F(x)=3x−1 find the solution set for F(x)=−7
Answers
[tex]f(x) = -7 \\\\\implies 3x -1 = -7\\\\\implies 3x = -7 +1 \\\\\implies 3x = -6\\\\\implies x = - \dfrac 63 =-2[/tex]
-7=3x-1
-6=3x
-6/3=x
X=-2
Please help quick ..
What distance was an object moved by a force of 35 N if the work was 665 joules?
19m
23,275m
630m
22m
Answers
Answer:
19m, A
Step-by-step explanation:
Work = Force x distance
so rearrange to get:
distance = Work ÷ Force
distance = 665÷35
distance = 19m
9-3÷1/3+1
can you pleas solve this question
please hurry
Answers
Answer:
9
Step-by-step explanation:
pemdas
9-3÷1/3+1
division
3 and 1/3 becomes 1
we have 9-1+1
which simplifies to 9
Determine whether each quadrilateral is a parallelogram. Justify your answer.
Answers
Answer:
4. Parallelogram
5. Parallelogram
6. Parallelogram
Step-by-step explanation:
4. This is a parallelogram because the longer sides are parallel to each other and the shorter sides are also parallel to each other. Hence, this is a parallelogram.5. This is a parallelogram because it's angles are the same to the opposite angles. Hence, this is a parallelogram.6. This is a parallelogram because the longer sides are parallel to each other and the shorter sides are also parallel to each other. Hence, this is a parallelogram.Hoped this helped.
I’m desperate at this point
Answers
Yes functuon
D:{-4,0,1}
R:{-6,4,8}
2nd:
No function
D:{-3,2,18}
R:{6,9}
3rd:
Yes function
D:{9,13,25}
R:{7,8}
any one is good at math can help :(
Answers
1. 1/50, or 1 megabyte per 50 seconds
2. -5/2, or -5 dollars per 2 months
Explanation:
To find slope, we can use the slope formula:
m = (y2 - y1)/(x2 - x1)
M represents the slope, (x1, y1) represent the coordinates of a point on the line, and (x2, y2) represent the coordinates of another point on the line. The points you pick don’t matter as long as they’re different.
For the first graph, I’ll pick (150, 3) and (100, 2).
m = (2 - 3)/(100 - 150)
m = -1/-50
m = 1/50
From the x and y axis, I can determine the units: megabytes per seconds. The answer becomes 1 megabyte per 50 seconds.
The second graph will have the same process. Since the line is pointing downward, I already know that the slope will be negative. I can plug the pre-chosen points, (10, 5) and (4, 20), into the slope formula.
m = (20 - 5)/(4 - 10)
m = 15/-6 or -5/2
The answer becomes -5 dollars per 2 months.
I hope this was helpful!
Can you please help me with this question
Answers
Answer:
C
Step-by-step explanation:
The first step in solving a problem is to understand what you are given. Here, all of the tables have the same set of equally-spaced x-values. That means a linear relationship can be identified by looking for constant differences in the f(x) values.
Only the f(x) values in Table C have constant differences (all are 2).
Table C represents a linear function. f(x) = 2x -1
Find the value of the expression:
x(x-y)-y(y^2-x) for x=4 and y=2
Answers
Replacing x by 4 and y by 2, it is found that the value of the expression is of 8.
The expression given is:
[tex]x(x - y) - y(y^2 - x)[/tex]
We want to evaluate it for x=4 and y=2, hence, we replace x by 4 and y by 2, then:
[tex]4(4 - 2) - 2(2^2 - 4) = 4(2) - 2(0) = 8[/tex]
The value of the expression is of 8.
A similar problem, in which the objective is finding the value of an expression, is given at https://brainly.com/question/19548262
Line v passes through points (4,1) and (6, 6). Line w is parallel to line v. What is the slope of
line w
Answers
4. Find the difference. (-7p + 10) - (p + 12)
Answers
Answer:
-8p -2
Step-by-step explanation:
(-7p + 10) - (p + 12) =
-7p + 10 - p - 12 =
-8p -2
helppppp meee pleaseeeee !!!!! :(
Answers
Answer:
70°
Step-by-step explanation:
the bottom small triangle is isosceles, which means in this case it has 2 35° angles. the third angle y is 180-2*35=110°
x is 180 - y = 180-110 = 70°
Bret buys a dining table that costs $150 before tax. The sales tax is 8%. How much sales tax did he pay?
Answers
Answer:
$12
Step-by-step explanation:
to find sales tax you multiply the cost by the percentage
you do 150 * 8%
thats also 150 * 0.08
150 * 0.08 is 12
so you pay $12 in tax
Bret paid $12 as sales tax.
What is a expression? What is a mathematical equation? What is Equation Modelling? What is denominator?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem. In a fraction say (x/y), [y] is called denominator.
We have Bret buys a dining table that costs $150 before tax. The sales tax is 8%.
Assume that he paid $[x] as sales tax. Then, we can write -
[x] = 8% of 150
[x] = (8/100) x 150
[x] = 12
Therefore, Bret paid $12 as sales tax.
To solve more questions on Equations, Equation Modelling and Expressions visit the link below -
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True or false? A figure that has opposite sides with equal lengths and equal slopes and diagonals with slopes that are negative reciprocals must be a square.
Answers
Answer:
False.
Step-by-step explanation:
The diagonals are at right angles ( because of the negative reciprocal slopes)
so it could be a square or a rhombus.
The given figure can be a rhombus or square.
What is square?The square is a 4 - sided figure, each side of the square is equal and makes a right angle.
The area of a square having sided a unit can be given by a² square unit.
Given that,
A figure has equal length of opposite sides.
Also, slopes and diagonals are equal with negative reciprocals.
Since, The square and rhombus both have equal sides and equal diagonals,
But a square makes right angle on sides.
In the given question, right angle is not given.
Therefore, the figure can be square or rhombus.
To know more about Square on:
https://brainly.com/question/28776767
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Layla has 5.49 pounds of wood she divides it into 7
so basically 5.49÷7
Answers
Answer:
0.7842857142857143
Step-by-step explanation: i would right an explanation but i cant put it all so you will just have to trust me
Tell me which option is correct: (0,m) (b,0) (m,0) (0,b) which one of those
Answers
Answer:
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Class 11
>>Physics
>>Units and Measurement
>>Errors in Measurement
>>You measure two quantities ...
Question
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You measure two quantities as A=1.0m±0.2m, B=2.0m±0.2m. We should report correct value for
AB
as
Medium
Solution
verified
Verified by Toppr
Correct option is
D
1.4m±0.2m
Here, A=1.0m±0.2m, B=2.0m±0.2m
AB=(1.0m)(2.0m)=2.0m
2
AB
=
2.0m
=1.414m
Rounding off to two significant figures, we get
AB
=1.4m
AB
ΔAB
=
2
1
(
A
ΔA
+
B
ΔB
)=
2
1
(
1.0
0.2
+
2.0
0.2
)=
2
0.3
Δ
AB
=
2
0.3
×
AB
=
2
0.3
×1.414=0.212m
Rounding off to one significant figure, we get
Δ
AB
=0.2m
The correct value for
AB
is 1.4m±0.2m
88800 divided by 10 to the second power explanation of change in digits
Answers
Answer:
4440
Step-by-step explanation:
easy. 10 to the 2nd power is 20 so whats 88800 divided by 20? To find out you use a calculator like i did :). Or you can count by 20's. either way you'll get 4440.
Rewrite this equation below into standard form
y=−3−7x
Answers
Would be your answer
if you discovered a leaking faucet in your home , do you think it would be important to get it fixed why or why not ??
Answers
Answer:
b
Step-by-step explanation:
It is important to get a leaking faucet fixed as soon as possible to save water, money, and prevent potential problems in the future.
It is important to get a leaking faucet fixed because of the following reasons;
1. Water waste: A leaking faucet wastes a significant amount of water over time, which can contribute to higher utility bills and water shortages in drought-prone areas.
2. Cost-saving: Fixing a leaking faucet can save you money in the long run by reducing your water bill.
3. Preventing bigger issues: Ignoring a leaking faucet can lead to more serious plumbing problems down the line, which can be more expensive to fix.
4. Environmental impact: Wasting water unnecessarily has a negative impact on the environment and can contribute to water scarcity.
Overall, it is important to address a leaking faucet promptly to save water, money, and prevent potential problems in the future.
Learn more about Water waste here;
https://brainly.com/question/29975969
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solve one step equation
-3x = -9
Answers
Answer:
x = 3
--------------------------------------------------------------------------------------------------------------
Step-by-step explanation:
-3x = -9
You have to do the inverse operation to solve a linear equation. In this case, the operation is multiplication (-3x) and the inverse would be division.
Thus, we would divide both sides by the coefficient (-3)
-3x/-3 = -9/-3
Thus, we isolate the variable x, and the result is
x = 3
--------------------------------------------------------------------------------------------------------------
Check:
To check our answer, all we have to do is substitute the value of x.
So, we would substitute the equation as
-3(3) = 9
-3 multiplied by 3 is -9, so our answer is correct.
The leader of the Protestant Reformation was a German monk called ___.
Answers
Long explanation so Brainly will let me submit that: He started it all with his arguments against the indulgences the Churches gave out and basically started the reformation and led it through to influence others and start the Lutheran’s. Who sought Christianity differently and protested the Catholics.