Answers
The product of the matrices is an identity matrix. Then Both the matrices are multiplicative inverse to each other.
What is the matrix?A matrix is a specific arrangement of items, particularly numbers. A matrix is a row-and-column mathematical structure. The a_{ij} element in a matrix, such as M, refers to the i-th row and j-th column element.
The matrices are given below.
[tex]\left[\begin{array}{ccc}-3&7\\-2&5\end{array}\right] \ and \ \left[\begin{array}{ccc}-5&7\\-2&3\end{array}\right][/tex]
Then show that both the matrices are multiplicative inverse to each other.
If the product of the matrices is an identity matrix then the matrices are multiplicative inverse to each other.
Then we have
[tex]\left[\begin{array}{ccc}-3&7\\-2&5\end{array}\right] \left[\begin{array}{ccc}-5&7\\-2&3\end{array}\right] = \left[\begin{array}{ccc}1&0\\0&1\end{array}\right][/tex]
Then both the matrices are multiplicative inverse to each other.
More about the matrix link is given below.
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Related Questions
help me pls :)
it is for revision but i dont understand it...
Answers
[tex]\textbf{a)}\\\\3x^2 y^4 \cdot 2x^6 y \\\\=6x^{2+6} \cdot y^{4+1}\\\\=6x^8 y^5\\\\\textbf{b)}\\\\xz^3 \cdot 4x^4 z^5\\\\=4x^{4+1} \cdot z^{3+5}\\\\=4x^5 z^8\\\\\textbf{c)}\\\\4a^3b^2 \cdot 3a^6 b^5 \\\\=12a^{3+6}\cdot b^{2+5}\\\\=12a^9b^7\\\\\textbf{d)}\\\\6s^5t\cdot s^4 t^2\\\\=6s^{5+4} \cdot t^{2+1}\\\\=6s^9t^3[/tex]
98% of 50 is what number
Answers
1. We assume, that the number 50 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 50 is 100%, so we can write it down as 50=100%.
4. We know, that x is 98% of the output value, so we can write it down as x=98%.
5. Now we have two simple equations:
1) 50=100%
2) x=98%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
50/x=100%/98%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 98% of 50
50/x=100/98
(50/x)*x=(100/98)*x - we multiply both sides of the equation by x
50=1.02040816327*x - we divide both sides of the equation by (1.02040816327) to get x
50/1.02040816327=x
49=x
x=49
now we have:
98% of 50 = 49Answer:
49
Step-by-step explanation:
It's really quite simple lad. 50 times 98 is equal to 4900. then you just divide 4900 by 100 and you get your answer, 49. 98% is also 98/100, keep that in mind. Better luck next time haha you
How many roots does the function have?
f (x) = x^6+ 2x^5 - 2x^4 + 3x^3 + 4x^2 - 5x + 7
2
6
21
7
Answers
Answer:
21
Step-by-step explanation:
6+5+4+3+2+1=21 and there you g9
please help!!!
translate the triangle with the vector -4 , 1
Answers
The transformation can be defined as the introduction of a new set of mathematical coordinates.
What is transformation?The transformation can be defined as the introduction of a new set of mathematical coordinates that are declared to be different functions of the original coordinates.
Given the triangle is needed to be translated by vector <-4,1>, therefore, we need to reduce -4 from all the x-coordinates of the points and add 1 to all the y-coordinates of the points.
Since negative on the x-axis is towards the left, and positive on the y-axis is upwards. Therefore, the translation of the given triangle will be as shown below.
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2.8 meters less 2.5 meters equals how many centimeters
Answers
Answer: 30 centimeters
Step-by-step explanation:
We will subtract and then convert units.
2.8 meters less 2.5 meters = 2.8 meters - 2.5 meters = 0.3 meters
0.3 meters * 100 = 30 centimeters
If this problem is not asking for 2.8 meters minus 2.5 meters - and is stating something else - please comment so I can fix my answer.
HELP ILL GIVE BRAINLEST
What is the area of this figure?
Enter your answer in the box
Answers
Answer:
The area of that figure is 16
Step-by-step explanation:
tell me if im wrong
A diagonal of a cube measures 15 cm and the length of an edge of the cube is V75 cm.
What is the length of the diagonal of a face of the cube? Round to the nearest tenth.
Answers
Answer:
the diagonal of a face of the cube = 12.2 (Rounded to the nearest tenth)
Step-by-step explanation:
[tex]\text{diagonal of the cube} =\ \left( \text{edge} \right) \times \sqrt{3}[/tex]
[tex]=\sqrt{75} \times \sqrt{3}[/tex]
[tex]=\sqrt{225}[/tex]
[tex]=15[/tex]
[tex]\text{diagonal of the face} =\left( \text{edge} \right) \times \sqrt{2}[/tex]
[tex]=\sqrt{75} \times \sqrt{2} \\\\=\sqrt{150} \\\\=12.247448713916[/tex]
7) Find the number of rotations
needed for this wheel to travel 100
feet if the radius of the wheel is 1
foot?
IL
Answers
Answer:
16 full rotations
Step-by-step explanation:
If the radius is 1 foot, cirumference is what we need to get in order to figure out how many rotations are necessary.
Circumference = 2 pi r
[tex]2 * \pi * r = 6.28\\100 / 6.28 = 15.92[/tex]
Hope this helps
The question is in the screenshot below.
Answers
Answer:
2 19/24
Step-by-step explanation:
Simplify it in whatever whey they ask you to for the answer
Answer:
37/12
Step-by-step explanation:
[tex] \frac{2}{3} \div 2 + ( \frac{3}{4} + \frac{1}{6} ) \div \frac{1}{3 } \\ \frac{2}{3} \div 2 \div \frac{9+ 2}{12} \div \frac{1}{3 } \\ \frac{2}{3} \div 2 + \frac{11}{12} \div \frac{1}{3} \\ \frac{2}{3} \div 2 + \frac{11}{12} \div \frac{1}{3} \\ \frac{1}{3} +\frac{11}{4} \\ \frac{37}{12} [/tex]
Graph the following features
Y-intercept = 2
Slope = -2/5
Answers
Answer:
Step-by-step explanation:
19 cm 15 cm triangle and I don’t know the other side
Answers
Answer:
well it looks equal to 15 cm so its probably 15 cm
Give brainliest :)
Help me out yall PLEASE
Answers
hope this helps :D
Analyze the following table of values.
y=1/2x
y=1/2^x2+4
y=4^x2+1/2
y=4(1/2)x
Answers
The table models an exponential relationship, and the equation of the table is [tex]y = 4(1/2)^x[/tex]
How to analyze the table of values?The table of values is given as:
x 0 1 2 3 4
y 4 2 1 1/2 1/4
The above table shows an exponential model
An exponential model is represented as:
[tex]y = ab^x[/tex]
When x = 0 and y = 4, we have
[tex]ab^0 = 4[/tex]
Evaluate
a = 4
When x = 1 and y = 2, we have
[tex]ab^1 = 2[/tex]
Evaluate
[tex]ab = 2[/tex]
Substitute 4 for a
4b = 2
Divide both sides by 4
b = 1/2
Substitute 4 for a and 1/2 for b in [tex]y = ab^x[/tex]
[tex]y = 4(1/2)^x[/tex]
Hence, the equation of the table is [tex]y = 4(1/2)^x[/tex]
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Algebra 2!! Which graph represents the following piecewise defined function?
-2x, x <-1
f(x) = -1,-1
x-1, x>2
Answers
The graph that defines the following piece-wise function is given by:
f(x) = -2x, x < -1.[tex]f(x) = -1, -1 \leq x < 2[/tex].[tex]f(x) = x - 1, x \geq 2[/tex].What is a piece-wise function?It is a function that has different definitions based on the input.
In this problem, for x less than -1, the function is a line going through points (-1,2) and (-2,4), hence the slope is:
m = 4 - 2/(-2 - (-1)) = -2.
The slope of -2 means that it also passes through (0,0), hence the function is:
y = -2x.
For x between -1(inclusive) and 2(exclusive), it is a constant function at y = -1.
For x equal or greater than 2, the function is a line going through points (2,1) and (4,3), hence the slope is:
m = (3 - 1)/(4 - 2) = 1.
The slope of 1 means that the function passes through (0,-1), hence the function is:
y = x - 1.
Hence the piece-wise function is defined by:
f(x) = -2x, x < -1.[tex]f(x) = -1, -1 \leq x < 2[/tex].[tex]f(x) = x - 1, x \geq 2[/tex].More can be learned about piece-wise functions at https://brainly.com/question/24734454
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Answer:
A
Step-by-step explanation:
-4(8r+3) pls answer
Answers
[tex] - 4(8r + 3)[/tex]
solution:[tex] - 4(8r + 3)[/tex]
[tex] = - 32r - 12[/tex]
answer to your question is -32r-12
hope this will help you
Use the FOIL Method to simplify completely:
(3p+2)(5p - 7)
8p² + 11p - 14
O 15p² + 11p + 14
○15p² – 11p – 14
O 8p² + 11p - 14
Answers
Answer:
15p^2 - 11p - 14 (thus answer three is correct)
Step-by-step explanation:
I uploaded an image of how this question is completed for an extended visual. Your welcome and have a great day :))))
if you put one penny in a room at 12:00 every minute that penny doubles, in 1 hour at 1:00 the room is full. at what time was the room halfway full?
Answers
Answer: It would be 1 min since it doubles every minute. Similarly, it'll be half full the minute before its full is 59.
Step-by-step explanation:
A box is in the shape of a rectangular prism. kristi is trying to ship boxes of her homemade granola trail mix. the box she is using to ship has the dimensions of 18in by 24in by 12in. each trail mix box has dimensions of 4in by 3in by 3in. how many trail mix boxes will fit into the box to be shipped? explain how you got your answer.
Answers
The number of rectangular trail mix box that will fit into the rectangular box to be shipped is 144.
Volume of a rectangular prism
The volume of a rectangular prism is represented as follows;
volume of rectangular prism = lwh
where
l = lengthw = widthh = heightTherefore,
volume of the box = 18 × 24 × 12 = 5184 inches³
Therefore, the volume of each trail mix box is as follows:
volume = 4 × 3 × 3 = 36 inches³
Therefore,
number of trail mix box that can fit the box to be shipped = 5184 / 36 = 144
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Answer:
144 (100% correct)
Step-by-step explanation:
To calculate the number of trail mix boxes that will fit into the shipping box, we need to compare the volumes of the two boxes.
First, let's calculate the volume of the shipping box (rectangular prism):
Volume of the shipping box = length * width * height
Volume of the shipping box = 18 in * 24 in * 12 in
Volume of the shipping box = 5184 cubic inches
Next, let's calculate the volume of each trail mix box (rectangular prism):
Volume of each trail mix box = length * width * height
Volume of each trail mix box = 4 in * 3 in * 3 in
Volume of each trail mix box = 36 cubic inches
Now, we divide the volume of the shipping box by the volume of each trail mix box to find the number of trail mix boxes that will fit:
Number of trail mix boxes = Volume of the shipping box / Volume of each trail mix box
Number of trail mix boxes = 5184 cubic inches / 36 cubic inches
Number of trail mix boxes = 144
Therefore, 144 trail mix boxes will fit into the shipping box.( For confirmation to those who need it)
1. Which is the best method for solving the quadratic equation? Explain why using a sentence. Then solve the quadratic equation using the method chosen. Leave all answers in simplest radical form.
Try to only choose each method once, but you may use a method twice.
• Take the square root of each side.
• Factor and use the zero-product property.
• Complete the square.
• Use the quadratic formula.
A. 2a2 = 72
B. x2 -10x +16= 0
C. y2 + 6y = 2
Answers
Answer:
Below.
Step-by-step explanation:
A. Take the square root of each side.
2a^2 = 72
a^2 = 36
a = -6, 6.
B. Factor and use the zero-product property
(x - 2)(x - 8) = 0
x = 2, 8.
C. Complete the square.
y^2 + 6y = 2
(y + 3)^2 - 3^2 = 2
(y + 3)^2 = 2 + 9 = 11
Taking square roots:
y + 3 = +/- √11
y = -3 + √11, -3 - √11
Kendrick will pay interest at a monthly rate of 0.7% on a student loan of $6000 for the next 2 years, at which point he will begin making payments. The total number of dollars he will owe in 2 years is 6000(1.007)24. Rewriting the expression 6000(1.007)24 in which of these ways would be useful in calculating the rate of interest he will pay each year?
Answers
The ways that would be useful in calculating the rate of interest he will pay each year is: 6000(1.007)^12×2
Rate of interestUsing this formula
Rate of interest=Principal(1+Rate)^nt
Where:
Principal=$6,000
Rate=0.7%
Time=2 years
Number of months =12 months
Let plug in the formula
Rate of interest=6000(1+.007)^12×2
Rate of interest=6000(1.007)^24
Rate of interest=$7,093.47
Therefore the ways that would be useful in calculating the rate of interest he will pay each year is: 6000(1.007)^12×2
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which value of m makes the inequality 10m-5<45
Answers
Answer:
m < 5
Step-by-step explanation:
10m-5 < 45
Add 5 to both sides
10m - 5 + 5 < 45 + 5
Simplify
10m < 50
Divide both sides by 2
10m/10 < 50/10
Simplify
m < 5
Kavinsky
As the degrees of freedom increase, the t distribution approaches the _____ distribution.
Answers
Using statistical concepts, it is found that as the degrees of freedom increase, the t distribution approaches the z-distribution.
When should the t-distribution and the z-distribution be used?If we have the standard deviation for the sample, the t-distribution should be used.If we have the standard deviation for the population, the z-distribution should be used.For large sample sizes, that is, a large number of degrees of freedom in the t-distribution, the t distribution approaches the z-distribution.
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Create a word problem that would require the use of equations to solve the problem.
Answers
Answer:
Tonya"s tennis Academy charges $25 per hour for lessons plus a $15 registration fee. Gerald spent a total of $290 for lessons. How many hours of lessons (h) did he take? Create an equation to determine the cost of the lessons with number of hours of lessons as the variable. Then substitute what you know and solve for hours of lessons.
its a word problem from wyzant.
Step-by-step explanation:
The charge = $15 + $25h (h represents the number of hours)
$290 = $15 + $25h
$275 = $25h ( subtract $15 from both) sides
11 = h ( divide both sides by $25)
equation that equal 15
Answers
Answer:
15x=225
Step-by-step explanation:
15x=225
x=15
10 + 5 = 15.
14 + 1 = 15
13 + 2 = 15
those are what ik but guy above is more accurate lol
Write an equation in slope-intercept form for the line with slope 1/5 and y-intercept - 2. Then graph the line.
Answers
Answer:
Slope intercept form: y = 1/5x -2
Step-by-step explanation:
i dont understand this at all, please dont give me an answer i just need someone to explain it to me if so, thank you <3
Answers
Answer: Multiply the diameter by Pi, which in school lessons usually just use 3.14
Step-by-step explanation:
So 3.14 multiplied by the diameter of 9.
please mark brainliest
A letter of the English alphabet is followed by a digit from 0 to 9.
How many different outcomes are in each sample space?
Answers
Answer:
260
Step-by-step explanation:
26 letters * 10 digits
bc each letter could be followed by 10 different digits
A 20 foot ladder is leaning against the side of a building. If the bottom of the ladder is 12 feet away from the base of the building, how far up the side of the building does the ladder reach? Draw a picture and show your work. (2 points)
Answers
Answer:
The ladder reaches is 16 feet far up the side of the building
picture below
Step-by-step explanation:
Write the power 4⁴ in repeated multiplication form. Then find the value of the power.
The power in repeated multiplication form is
The value of the power is
Answers
The power in repeated multiplication form of 4⁴ is: 4 × 4 × 4 × 4 = 256.
How to Write a Number in Repeated Multiplication Form?To wrote a number in repeated multiplication form, write the base number multiplied as many times as the stated exponents.
Given the number, 4⁴, we have:
4 × 4 × 4 × 4 = 256.
The value of the power of 4⁴ is: 256.
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Answer:
Step-by-step explanation:
4 x 4 x 4 x 4 = 16 x 16 = 256 is the value
4^4 is the power
which two expressions are equivalent?
a) x+x+x and x³
b) 14x + 10 - 2x and 16x + 10
c) 12x + 16x and 4(3x+4x)
d) 12x² + 5x + 10 and 17x² + 10
NO SPAM ANSWERS.
Answers
Answer:
c
Step-by-step explanation:
(4×3x)+(4×4x)=
12x+16x
