Check below, please.
1) Considering the given problem, we can write out the following answering those questions.
2) Let's define the variable as x
Matt:
the cost for Matt's job is modeled by 2x+15
Since those $15 dollars are fixed and he charges $2 per dog.
Angela:
Her earnings are modeled by 3x+5
Since those $5 dollars are fixed and he charges $3 per dog.
Equation
We can write the following expression to get to know the number of animals that makes no difference picking Angela or Matt:
2x+15 =3x+5
Work
\(\begin{gathered} 2x+15=3x+5 \\ 2x-3x=5-15 \\ -x=-10 \\ x=10 \end{gathered}\)So, for 10 dogs there is no difference whether Angela or Matt is taking care for the cost will be the same.
x = - 23
y = - 5
z = - 10
\((x-12)/ (y+z)\\\)
i had to do the answer as a pic cuz my iPad is gonna die.
sorry <:)
Answer:
7/3Step-by-step explanation:
x = - 23
y = - 5
z = - 10
(x - 12)/(y+z)=
(-23 - 12)/(-5-10)=
45/15=
7/3
find the length of segment BC
Answer:
Well B is 6 and c is 12. So if you are finding out line segment Bc then all you have to do is combine bot h B and C. So you would get 6x12. If you could peroxide a graph that would be great.
So therefore the answer is 12
Step-by-step explanation:
In the diagram below of triangle DEF, G is a midpoint of DE and H is a midpoint of EF. IfGH = 50 -- 87, and DF = 9x + 0, what is the measure of GH? E H D F
GH = 18
Explanations:From the diagram:
DF = 9x + 0
GH = 50 - 8x
Since G is a midpoint of DE and H is a midpoint of EF, using the midpoint theorem:
DF = 2GH
9x + 0 = 2 (50 - 8x)
9x = 100 - 16x
9x + 16x = 100
25x = 100
x = 100/25
x = 4
Substituting the value of x into GH = 50 - 8x
GH = 50 - 8(4)
GH = 50 - 32
GH = 18
WHAT IS QUARTER OF 74?
Answer:
18.5
Step-by-step explanation:
I majored on Mathematics
Answer:
18.5
Step-by-step explanation:
74/4=18.5
Greg read the following recipe. 4 cups of flour 1 cup of sugar 1/2 cup of butter 2 eggs. He had 8 cups of flour and wanted to use all of it. What amount of the other ingredients should Greg use?
Answer:
2 cups of sugar
1 cup of butter
4 eggs
Step-by-step explanation:
Multiply the recipe by 2
8 cups of flour
Answer: since Greg has 8 cups of flour he should have 2 cups of sugar 1 cup of butter and 4 eggs
Step-by-step explanation:
. If two of the angles in a scalene triangle are 54° and 87°, what is the other angle?
The answer is:
⇨ x = 39°Work/explanation:
Bear in mind that the sum of all the angles in a triangle is 180°.
Given two angles, we can easily find the third one.
Let's call it x.
Next, we set up an equation:
\(\sf{54+87+x=180}\)
\(\sf{141+x=180}\)
Subtract 141 on each side.
\(\sf{x=180-141}\)
\(\sf{x=39}\)
Hence, the other angle is 39°.I need assistance please.
Your Assignment
Mr. Paulsen challenges Olivia and Angelica to move figure ABCDE onto figure A"B"C"D"E" using a series of two different transformations. They give two different answers.
Answer the questions to investigate ways to transform ABCDE.
1. Olivia finds a combination of two different transformations that moves ABCDE onto A"B"C"D"E". What is one way she might have done this? (3 points)
2. Angelica reflects ABCDE over the y-axis and translates it up 8 units. Does her transformed figure match A"B"C"D"E"? If not, describe how her transformed figure compares to A"B"C"D"E". (3 points)
3. Michael says he can move ABCDE onto A"B"C"D"E" with one transformation by translating ABCDE diagonally so that it moves 8 units up and 10 units right. Is he correct? Explain why or why not. (4 points)
One way Olivia might have moved ABCDE onto A"B"C"D"E" is by first reflecting ABCDE over the x-axis, and then translating it 4 units to the left and 6 units down.
1) This would map point A to A", B to B", C to C", D to D", and E to E", creating A"B"C"D"E".
2) Angelica's transformation does not result in a figure that matches A"B"C"D"E". Reflecting ABCDE over the y-axis would map point A to A", B to E", C to D", D to C", and E to B", so the shape would be flipped horizontally. Translating it up 8 units would then shift the shape up, but it would still be horizontally flipped, so it would not match A"B"C"D"E".
3) Michael's claim is not correct. Translating ABCDE diagonally 8 units up and 10 units right would move point A to point J, which is not on A"B"C"D"E". The other points would also not be in their correct positions, so the resulting shape would not match A"B"C"D"E". To get to A"B"C"D"E" with one transformation, Michael would need to use a combination of translation, rotation, and/or reflection.
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News reports from the western United States occasionally report incidents of cattle ranchers slaughtering many newborn calves and burying them in mass graves rather than transporting them to markets. Assuming that this is rational behavior by profit-maximizing "firms," explain what economic factors may influence such behavior. Justify your answer.
if i have a dog and she weighs 31.8 kilograms how many grams is equivalent to 31.8 kilograms
Answer:31800grams
Step-by-step explanation:
5.3 MATHEMATICS HOLIDAY PACKAGE-TERM 2(2023) Instructions: Attempt ALL items 1. Your family has seven siblings; peter, John, Sarah, Joy, Ali, Mary and Ivan. There is an interval of 2 years between the ages of the children from Ivan to peter. Ivan is three years old. Task: Using an arrow diagram, explain the information about your family.
Which values are solutions to the inequality below
Answer:
11 and -11
Step-by-step explanation:
The square of 11 is 121. The square of -11 is also 121.
Answer:
Options C and F
Step-by-step explanation:
Check each answer:
6^2=36 but 36<64 so it cannot be A
8^2=64 but 64<64 (remember that even though they are equal to each other it doesn't meet the requirements of the inequality) so it cannot be B
11^2=121 and 121>64 so it can be C
-6^2=36 but 36<64 so it cannot be D (remember that squaring a number that is negative results in a positive number)
-8^2=64 but 64<64 so it cannot be E (see explanations for B and D)
-11^2=121 and 121>64 so it can be F
Therefore, the only two correct solutions are options C and F
Solve the quadratic equation for x. What is one of the roots?
3x2 − 14x − 5 = 0
please any help would be nice!!!
The roots of the quadratic equation \(3x^2 - 14x - 5 = 0\), in exact square root form, are x = 5 and x = -1/3.
According to given information :Using the quadratic formula to solve the quadratic equation \(3x^2 - 14x - 5 = 0\),we have
\(x = (-(-14) ± sqrt((-14)^2 - 4(3)(-5))) / (2(3))\\x = (14 ± sqrt(14^2 + 4(3)(5))) / (2(3))\\x = (14 ± sqrt(196 + 60)) / 6\\x = (14 ± sqrt(256)) / 6\\x = (14 ± 16) / 6\\\)
Therefore, the two roots of the quadratic equation in exact square root form are:
\(x = (14 + 16) / 6 = 5\\x = (14 - 16) / 6 = -1/3\\\)
Thus, the roots of the quadratic equation \(3x^2 - 14x - 5 = 0\), in exact square root form, are x = 5 and x = -1/3.
What is quadratic equation ?A quadratic equation is a second-degree polynomial equation in one variable of the form:
\(ax^2 + bx + c = 0\)
where x is the variable, and a, b, and c are constants. In this equation, the highest power of x is 2, and it is called the coefficient of x^2. The coefficient of x is b, and the constant term is c.
The quadratic equation is called "quadratic" because the highest power of x is a square (i.e., x^2), and the graph of the equation is a parabola.
The quadratic equation can have zero, one, or two real solutions, depending on the values of a, b, and c. The solutions can be found by using the quadratic formula:
\(x = (-b ± √(b^2 - 4ac)) / 2a\)
where the symbol ± means "plus or minus" and the square root is of the discriminant (b^2 - 4ac).
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Two fractions between 2 and 2 1/2
Answer:
2 2/5 and 2 2/100
Step-by-step explanation:
The answers range in many ways! Whatever floats your boat to pick!
Hope this helped! :)
derivate (cos(3x^2). (5x^3 -1)^1/3 +sin 4x^3)^4
\( \: \: \: \: find \: first \: derivative \\ ( cos(3x {}^{2} ) \times ( \sqrt[3]{5x {}^{3} - 1} ) + \sin(4x {}^{3} ) {}^{4} \)
Answer:
Step-by-step explanation:
\(\frac{d}{dx} [cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)]^4\\\\=4[cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)]^3\; \frac{d}{dx} [cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)] --- eq(1)\)
Lets look at the derivative part:
\(\frac{d}{dx} [cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)] \\\\= \frac{d}{dx}[cos(3x^2) \sqrt[3]{5x^3 -1} ] + \frac{d}{dx}[sin(4x^3)]\\\\=cos(3x^2) \frac{d}{dx}[ \sqrt[3]{5x^3 -1} ] + \sqrt[3]{5x^3 -1}\frac{d}{dx}[ cos(3x^2) ] + cos(4x^3) \frac{d}{dx}[4x^3]\\\\=cos(3x^2) \frac{1}{3} (5x^3 -1)^{\frac{1}{3} -1} \frac{d}{dx}[5x^3 -1] + \sqrt[3]{5x^3 -1} (-sin(3x^2))\frac{d}{dx}[ 3x^2] + cos(4x^3)[(4)(3)x^2]\)
\(=\frac{cos(3x^2) 5(3)x^2}{3(5x^3 - 1)^{\frac{2}{3} }} -\sqrt[3]{5x^3 -1}\; sin(3x^2) (3)(2)x + 12x^2 cos(4x^3)\\\\=\frac{5x^2cos(3x^2) }{(5x^3 - 1)^{\frac{2}{3} }} -6x\sqrt[3]{5x^3 -1}\; sin(3x^2) + 12x^2 cos(4x^3)\)
Substituting in eq(1), we have:
\(\frac{d}{dx} [cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)]^4\\\\=4[cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)]^3\; [\frac{5x^2cos(3x^2) }{(5x^3 - 1)^{\frac{2}{3} }} -6x\sqrt[3]{5x^3 -1}\; sin(3x^2) + 12x^2 cos(4x^3)]\)
can u slove ASAP please
Answer:
B) 352
Step-by-step explanation:
45% = 0.45
640 x 0.45= 288
288 is how many students walked to school
So to find how many took the bus to school
640- 288= 352
Calculate Santos's monthly Social Security benefit if he delays collecting for 2 years and his original benefit at full retirement age was $1,115.00.
$1,156.90
$1,209.35
$1,293.40
$1,315.50
c. $1,293.40 is the Santos's monthly Social Security benefit, after delaying collecting for 2 years.
If Santos delays collecting his Social Security benefits for 2 years, he will be eligible for delayed retirement credits. The amount of the increase depends on his birth year and the specific rules in place at the time. As of my knowledge cutoff in September 2021, for individuals born in 1943 or later, the delayed retirement credit is 8% per year for each year of delay beyond full retirement age.
Assuming Santos's original benefit at full retirement age was $1,115.00, we can calculate the increase after a 2-year delay:
Increase = Original Benefit * (Delayed Retirement Credits per year * Number of years of delay)
Increase = $1,115.00 * (0.08 * 2)
Increase = $1,115.00 * 0.16
Increase = $178.40
To calculate Santos's monthly Social Security benefit after the 2-year delay, we add the increase to his original benefit:
New Benefit = Original Benefit + Increase
New Benefit = $1,115.00 + $178.40
New Benefit = $1,293.40
Santos's monthly Social Security benefit, after delaying collecting for 2 years, would be approximately $1,293.40. Therefore, Option c is correct.
The question was incomplete. find the full content below:
Calculate Santos's monthly Social Security benefit if he delays collecting for 2 years and his original benefit at full retirement age was $1,115.00.
a. $1,156.90
b. $1,209.35
c. $1,293.40
d. $1,315.50
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Need help on this one also
Answer:
its always C trush me
Step-by-step explanation:
Answer: a
Step-by-step explanation:
Find the perimeter of the rectangle
below in inches.
Answer:
Perimeter of the rectangle is 28 yardsStep-by-step explanation:
Given:
Length of rectangle = 8 yardsBreadth of Rectangle = 6 yardsTo Find:
Perimeter of the rectangleSolution:
We know that,
Perimeter of rectangle= 2(L + B)Substituting the required values,
⇢ Perimeter = 2(8 + 6)
⇢ Perimeter = 2(14)
⇢ Perimeter = 28 yards
Hence,
Perimeter of the rectangle is 28 yardsQUESTION 5: The graph off shows the book value of a vehicle x years after the time Joe bought it. The graph of g shows the cost price of a similar vehicle x years later. (a) (b) (c) (d) 450 000 T(4; a) Q(4; R243 736,90) How much did Joe pay for the vehicle? (1) Use the reducing-balance method to calculate the percentage annual rate of depreciation of the vehicle that Joe bought. (4) If the average rate of the price increase of the vehicle is 8,1% per annum, calculate the value of a. (3) A vehicle that costs R450 000 now, is to be replaced at the end of 4 years. The old vehicle will be used as a trade-in. A sinking fund is created to cover the replacement cost of this vehicle. Payments will be made at the end of each month. The first payment will be made at the end of the 13th month and the last payment will be made at the end of the 48th month. The sinking fund earns interest at a rate of 6,2% per annum compounded monthly. Calculate the monthly payment to the fund. (6)howmuch did joe pay for the vehicle
Answer:
Step-by-step explanation:
Based on the given information, we can see that the book value of the vehicle 4 years after Joe bought it is R243,736.90. This point is given as Q(4; R243,736.90) on the graph.
To find out how much Joe paid for the vehicle, we need to look at the y-axis of the graph for the book value and find the corresponding value at x=0 (the time Joe bought it). From the graph, we can see that the book value of the vehicle at x=0 is R450,000. Therefore, Joe paid R450,000 for the vehicle.
(a) To calculate the percentage annual rate of depreciation using the reducing-balance method, we need to know the initial value of the vehicle, the salvage value, and the number of years over which it depreciates. However, this information is not provided in the question.
(b) To calculate the value of "a," we need to use the information from the graph of g, which shows the cost price of a similar vehicle x years later. However, the graph of g is not given in the question. Without the graph of g, we cannot calculate the value of "a."
(c) To calculate the monthly payment to the sinking fund, we can use the formula for the future value of an annuity:
FV = P * (((1 + r/n)^(nt) - 1) / (r/n))
where:
P = monthly payment
r = annual interest rate (6.2%)
n = number of times compounded per year (12 for monthly)
t = number of years (3.92 years, since payments start at the end of the 13th month and end at the end of the 48th month)
We want to find the value of P. We know that FV (the future value of the sinking fund) is equal to the replacement cost of the vehicle, which is R450,000. Plugging in the values and solving for P, we get:
450000 = P * (((1 + 0.062/12)^(12*3.92) - 1) / (0.062/12))
P = R7,687.28
Therefore, the monthly payment to the sinking fund should be R7,687.28.
(d) We have already determined that Joe paid R450,000 for the vehicle.
You are selling tickets to a play. You have sold (3t+2) tickets for $5 each and (2t+5) tickets for $7 each.
When t=3 what is the total amount of money received?
Answer: $132
Step-by-step explanation:
(3t + 2) = 55
(2t + 5) = 77
$55 + $77 = $132
10 POINTS FOR THE CORRECT ANSWER PLEASE HELP
Answer:
Step-by-step explanation:
We can first solve for the face diagonal. That is \(\sqrt{(10^2+5^2)}\). Notice this will form a right triangle with the vertical side. We get that the face diagonal = \(\sqrt{125}\). Now, we can use Pythagorean theorem again to get the straw length:
\(s^2 = 9^2+\sqrt{125}^2\) where s = the straw length.
We can solve that s = \(\sqrt{206}\)
what is 2x to the power of 2
helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answer:
2x^2 = (2 x 2) x (2 x 2)
= 4 x 4
= 16
I hope this helps you
Please help!!!!!!!!!!!
Answer:
The ordered pair (15, 12) means that 15 pounds of beans cost $12.
Step-by-step explanation:
Ordered pairs are in the format of (x,y). The first number represents a point's position on the x-axis and the second represents a point's position on the y-axis. Also note that in this graph, the x-axis represents the weight of beans in pounds and the y-axis represents the cost of beans.
Knowing this, (15,12) means that 15 pounds of beans must cost $12.
What is the zero of function f?
f(x)=7^3Vx+12-12
Answer:
hope it helps ya.
please give me brainliest
In a recent survey of 36 people, 18 said that their favorite color of car was blue.
What percent of the people surveyed liked blue cars? Explain your answer with every step you took to get to it.
Answer: The percentage of people surveyed who liked blue cars is 50%.
Step-by-step explanation:
Total number of people partaking in survey= 36
number of people who like blue cars= 18
therefore, fraction of people who liked blue cars= \(\frac{18}{36}\)
hence, percentage of people who liked blue cars= (18/36)*100 %
= 50%
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Answer:
Percentage of people who like blue-coloured cars is 50%
Number of people who were surveyed=36
Number of people who like blue-colored cars=18
Therefore, Percentage of people who like blue cars= (Number of people who like blue cars/ Number of people who were surveyed)*100
=(18/36)*100
=50%
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math project : I need an interesting project idea for mathematics that can relate 3 different topics, I should write a full research paper related on the topic this are some examples related to the project
You must state a question that you would like to answer. This must be a specific question within your topic and should be explored thoroughly to create a complete paper.
Examples:
(i) How can we use Mathematical/Calculus-based tools to study the spread of COVID-19?
(ii) Designing a new Mathematical/Calculus-based model to analyze the spread of COVID-19
(iii) How many entrances should there be at Expo to accommodate all visitors?
(iv) How much water does the UAE need in order to sustain its ever changing population? (i.e. comparing water usage vs. water production)
Literature review:
You must show using multiple references and sources of the current literature on your given topic. This does NOT imply that information is simply copied from the internet but rather you must present a comprehensive review and summary of the latest research on your topic. It is suggested that you chose a specific aspect of your topic in order to include all required elements.
Examples:
(i) Review of the existing Mathematical/Calculus-based models used to analyze the spread of COVID-19
(ii) Review of existing Mathematical/Calculus-based models and calculations regarding risk insurance.
Answer:
Here's an interesting project idea for mathematics that can relate three different topics:
Topic 1: Fractals
Topic 2: Chaos Theory
Topic 3: Differential Equations
Research Question: Can fractals be used to model chaotic systems described by differential equations?
In this project, you can explore the concept of fractals and their applications in modeling complex systems. You can also delve into chaos theory and differential equations to understand how they are used to describe chaotic systems. By combining these three topics, you can investigate whether fractals can provide a better understanding of chaotic systems by modeling them more accurately.
Your research paper can cover the following areas:
Introduction: Provide an overview of fractals, chaos theory, and differential equations, and explain their relevance to the research question.
Fractals: Discuss the properties of fractals and how they can be used to model complex systems. Provide examples of fractals in nature and technology.
Chaos Theory: Explain the concept of chaos and how it is described by differential equations. Discuss the importance of chaos theory in understanding complex systems.
Differential Equations: Provide an overview of differential equations and their applications in physics, engineering, and other fields. Explain how differential equations are used to model chaotic systems.
Combining the three topics: Explain how fractals can be used to model chaotic systems described by differential equations. Provide examples of fractals used in modeling chaotic systems and compare the results to traditional methods.
Conclusion: Summarize the findings of your research and discuss the implications of using fractals to model chaotic systems.
Overall, this project can be a challenging and rewarding exploration of the interplay between three different mathematical topics.
Step-by-step explanation:
Give a pair of corresponding angles, a pair of alternate interior angles, and a pair of alternate exterior angles.
A pair of corresponding angles, alternate interior angles, and alternate exterior angles include the following:
Corresponding angles: ∠1 ≅ ∠5.
Alternate interior angles: ∠4 ≅ ∠6.
Alternate exterior angles: ∠2 ≅ ∠8
What are corresponding angles?In Mathematics, corresponding angles can be defined as a postulate (theorem) which states that corresponding angles are always congruent when the transversal intersects two (2) parallel lines:
∠1 ≅ ∠5
By applying the alternate interior angles theorem to parallel lines m and n, we have the following congruent angles:
∠4 ≅ ∠6
By applying the alternate exterior angles theorem to parallel lines m and n, we have the following congruent angles:
∠2 ≅ ∠8
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A
-pound bag of Kitty Kibbles is
. An
-pound bag of Feline Flavor is
. Which statement about the unit prices is true?
Feline Flavor has a higher unit price of
/pound.
Kitty Kibbles has a higher unit price of
/pound.
Kitty Kibbles has a higher unit price of
/pound.
Feline Flavor has a higher unit price of
/pound.
The statement about the unit prices which is true is Kitty Kibbles has a lower unit price of $1.30/pound.
The correct answer choice is option D.
How to solve unit prices?Cost of 16-pound bag of Kitty Kibbles = $20.80
Unit price of kitty kibbles = Price / number of pounds
= $20.80 / 16
= $1.30 per pound.
Cost of 8-pound bag of Feline flavor = $11.20
Unit price of feline flavor = Price / number of pounds
= $11.20 / 8
= $1.40 per pound
Ultimately, the unit price of kitty kibbles and feline flavor is $1.30 and $1.40 respectively.
Complete question:
A 16-pound bag of Kitty Kibbles is $20.80. An 8-pound bag of Feline Flavor is $11.20. Which statement about the unit prices is true?
A. Feline Flavor has a lower unit price of $1.40/pound.
B. Feline Flavor has a lower unit price of $1.30/pound.
C. Kitty Kibbles has a lower unit price of $1.40/pound.
D. Kitty Kibbles has a lower unit price of $1.30/pound.
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Find the inverse of A = 9, -2 -10, 7 , if it exists.
The inverse of matrix A, if it exists, is:
A^(-1) = [7/43, 2/43; 10/43, 9/43]
To find the inverse of a matrix A, we need to determine if the matrix is invertible by calculating its determinant. If the determinant is non-zero, then the matrix has an inverse.
Given the matrix A = [9, -2; -10, 7], we can calculate its determinant as follows:
det(A) = (9 * 7) - (-2 * -10)
= 63 - 20
= 43
Since the determinant is non-zero (43 ≠ 0), we can proceed to find the inverse of matrix A.
The formula to calculate the inverse of a 2x2 matrix is:
A^(-1) = (1/det(A)) * [d, -b; -c, a]
Plugging in the values from matrix A and the determinant, we have:
A^(-1) = (1/43) * [7, 2; 10, 9]
Simplifying further, we get:
A^(-1) = [7/43, 2/43; 10/43, 9/43].
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Is 1/2 equivalent to 7/12
Answer: No because 1/2 is equal to 6/12 because 1 x6=6 and 2x6 =12 which makes 1/2 equivalent to 6/12 not 7/12
Answer:
no this is false
Step-by-step explanation:
7 is not half of 12