PLEASE HELP YOU WILL BE BRAINIEST!!! Use the chart!!!!

Answer: 3 cm

Step-by-step explanation:

The formula for the area of a circle is A = πr², where A is the area and r is the radius. We are given that the area of the circle is 28½ cm².

So, 28½ = πr²

We need to solve for r. Dividing both sides by π, we get:

r² = 28½/π

r² = 9

Taking the square root of both sides, we get:

r = 3√1 = 3 cm

Therefore, the radius of the circle is 3 cm.

Answer:

Step-by-step explanation:

To find the limit of (n!)^(1/n) as n approaches infinity, we can use the Stirling's approximation for n!, which is:

n! ≈ (n/e)^n √(2πn)

where e is the mathematical constant e ≈ 2.71828, and π is the mathematical constant pi ≈ 3.14159.

Using this approximation, we can rewrite (n!)^(1/n) as:

(n!)^(1/n) = [(n/e)^n √(2πn)]^(1/n) = (n/e)^(n/n) [√(2πn)]^(1/n)

Taking the limit as n approaches infinity, we have:

lim (n!)^(1/n) = lim (n/e)^(n/n) [√(2πn)]^(1/n)

Using the fact that lim a^(1/n) = 1 as n approaches infinity for any constant a > 0, we can simplify the second term as:

lim [√(2πn)]^(1/n) = 1

For the first term, we can rewrite (n/e)^(n/n) as [1/(e^(1/n))]^n and use the fact that lim a^n = 1 as n approaches infinity for any constant 0 < a < 1. Thus, we have:

lim (n/e)^(n/n) = lim [1/(e^(1/n))]^n = 1

Therefore, combining the two terms, we have:

lim (n!)^(1/n) = lim (n/e)^(n/n) [√(2πn)]^(1/n) = 1 x 1 = 1

Hence, the limit of (n!)^(1/n) as n approaches infinity is 1.

Answer:1

Step-by-step explanation:

V is not a vector space, since at least one of the vector space axioms fails. Specifically, the axiom of closure under addition fails, since for any positive real numbers x and y, their sum xy may not be positive.

V is not a vector space, since some of the vector space axioms fail with the given operations.

Closure under addition fails For example, taking x=2 and y=3, we have xy = 6, but xy is not a positive real number, so xy is not in V.

Distributivity of scalar multiplication over vector addition fails For example, taking x=2, y=3, and c=-1, we have c(x+y) = cxy = -6, but cx + cy = -2 -3 = -5, which is not in V.

Other vector space axioms, such as associativity of addition, existence of additive identity and inverse, and compatibility of scalar multiplication with field multiplication, are still satisfied with the given operations.

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_____The given question is incomplete, the complete question is given below:

Let V be the set of all positive real numbers. Determine whether V is a vector space with the following operations. x + y = xy Addition cx = x Scalar multiplication If it is, then verify each vector space axiom; if it is not, then state all vector space axioms that fail. STEP 1: Check each of the 10 axioms. (1) U + v is in V. This axiom holds. This axiom fails. (2) U + V = V + u This axiom holds. This axiom fails. (3) U+ (v + w) = (u + v) + w This axiom holds. This axiom fails. STEP 2: Use your results from Step 1 to decide whether V is a vector space. O V is a vector space. O Vis not a vector space.

therefore, we have shown that: [tex]m= (y_{2} -y_{1} )/(x_{2}-x_{1})[/tex] assuming that x2 ≠ x1.

Slope refers to the measure of steepness of a line or a curve. In mathematics, slope is usually denoted by the letter "m" and is defined as the ratio of the change in the y-coordinate to the change in the x-coordinate between two points on a line.

The formula for calculating the slope between two points (x1, y1) and (x2, y2) on a line is:

[tex]m= (y_{2} -y_{1} )/(x_{2}-x_{1})[/tex]

by the question.

To finds the slope of a line passing through two points (x1, y1) and (x2, y2), we use the slope formula:

[tex]m= (y_{2} -y_{1} )/(x_{2}-x_{1})[/tex]

This formula represents the change in y divided by the change in x between the two points.

Now, assuming that x2 ≠ x1, we can simplify the formula as follows:

[tex]m= (y_{2} -y_{1} )/(x_{2}-x_{1})*(1/1)[/tex]

Multiplying the numerator and denominator by 1, which in this case is (x2 - x1) / (x2 - x1), we get:

[tex]m= (y_{2} -y_{1} )/(x_{2}-x_{1})*(x_{2}-x_{1})/(x_{2}-x_{1})[/tex]

Simplifying the numerator, we have:

[tex]m= (y_{2} -y_{1} )/(x_{2}-x_{1})/[(x_{2}-x_{1})*1][/tex]

The term (x2 - x1) cancels out, leaving us with:

[tex]m=(y_{2}-y_{1} /1[/tex]

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Multiple linear regression is a statistical technique used to model the relationship between a dependent variable and multiple independent variables.

In multiple linear regression,

The dependent variable is modeled as a linear function of several independent variables.

Regression coefficient that quantifies the strength and direction of the relationship between independent and dependent variable.

Coefficient standard deviation refers to the standard deviation of the estimated regression coefficients in multiple linear regression.

Provides a measure of the variability of the estimated coefficients and can be used to assess the precision of the estimates.

New multiple regression model,

Collect data on the dependent variable and multiple independent variables of interest.

Perform a multiple linear regression analysis, which involves fitting a linear equation to the data using the method of least squares.

Estimates the regression coefficients and their standard deviations.

Used to assess the significance of each independent variable and the overall fit of the model.

Therefore,  multiple regression model consider adding or removing independent variables, transforming the data, or machine learning algorithms.

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The above question is incomplete , the complete question is:

What is multiple linear regression with coefficient standard deviation and mean to get new multiple regression ?

Answer:

Step-by-step explanation:

Let's use the Pythagorean theorem to solve this problem.

Let x be the length of the larger leg of the triangle. Then, the length of the smaller leg is x - 14 cm. The length of the hypotenuse is x + 2 cm.

Using the Pythagorean theorem, we have:

(x - 14)^2 + x^2 = (x + 2)^2

Simplifying and solving for x:

x^2 - 28x + 196 + x^2 = x^2 + 4x + 4

2x^2 - 32x + 192 = 0

Dividing both sides by 2:

x^2 - 16x + 96 = 0

Factorizing:

(x - 8)(x - 12) = 0

Therefore, x = 8 or x = 12.

If x = 8, then the smaller leg is 8 - 14 = -6 cm, which is not possible.

If x = 12, then the smaller leg is 12 - 14 = -2 cm, which is also not possible.

Therefore, there are no real solutions to this problem.

(a) 12 cm 40° : Area of shaded segments = 301.44 sq. cm.

(b) 58° 16 cm ​: Area of shaded segments = 777.04 sq. cm.

Two radii that meet at the center to form a sector define a circle. The sector is the portion of the circle created by these two radii. Knowing a circle's central angle calculation and radius measurement are both crucial for solving circle-related difficulties.

Area of sector of circle = Ф/360 * πr²

π = 3.14

r  is the radius

Ф is the angle subtended.

(a) 12 cm 40°

Area of shaded segments = 40/60 * 3.14* 12²

Area of shaded segments = 40/60 * 452.16

Area of shaded segments = 301.44 sq. cm.

(b) 58° 16 cm ​

Area of shaded segments = 58/60 * 3.14* 16²

Area of shaded segments = 58/60 * 803.84

Area of shaded segments = 777.04 sq. cm.

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The diagram for the question is attached.

Check the explanation.

Step-by-step explanation:

As the graph of a linear function f passes through the point (-2,-10) and has a slope of 5/2.

As the slop-intercept form is given by:

where m is the slope and b is the y-intercept.

substituting the values (-2, -10) and m = 5/2 in the slop-intercept form to determine y-intercept.

And the equation of the line in the slope-intercept form will be:

putting b = -5 and slope = m = 5/2

Determining the zero of function.

As we know that the real zero of a function is the x‐intercept(s) of the graph of the function.

so let us determine the value of x (zero of function) by setting y = 0.

Therefore, the zeros of the function will be:

x = 2

Answer:

To find the slope, m, of a linear function that passes through two points, (x1, y1) and (x2, y2), we can use the following formula:

m = (y2 - y1) / (x2 - x1)

In this case, the two points are (3, 10) and (6, 8), so we have:

x1 = 3

y1 = 10

x2 = 6

y2 = 8

Substituting these values into the formula, we get:

m = (8 - 10) / (6 - 3) = -2 / 3

Therefore, the slope of the linear function is -2/3.

The coordinates of A' and B' after a dilation with a scale factor of 5 and a center point of dilation at the origin are A'(5, 10) and B'(-10, -5), respectively.

To find the coordinates of the points A' and B' after a dilation with a scale factor of 5 and a center point of dilation at the origin, we can use the following formula:

[tex]$$(x', y') = (5(x - 0), 5(y - 0)) = (5x, 5y)$$[/tex]

where (x, y) are the original coordinates of the point, and (x', y') are the new coordinates after the dilation.

For point A(1, 2), the new coordinates A' are:

[tex]$$(x_A', y_A') = (5(1), 5(2)) = (5, 10)$$[/tex]

Therefore, the coordinates of point A' are (5, 10).

For point B(-2, -1), the new coordinates B' are:

[tex]$$(x_B', y_B') = (5(-2), 5(-1)) = (-10, -5)$$[/tex]

Therefore, the coordinates of point B' are (-10, -5).

Therefore, the coordinates of A' and B' after a dilation with a scale factor of 5 and a center point of dilation at the origin are A'(5, 10) and B'(-10, -5), respectively.

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Answer:

Step-by-step explanation:

Let's call the number we're looking for "x".

The problem tells us that "if the sum of a number and eight is doubled, the result is seven less than the number", which can be translated into an equation:

2(x+8) = x-7

Now let's solve for x:

2x + 16 = x - 7

2x - x = -7 - 16

x = -23

Therefore, the number we're looking for is -23.

Answer:

To subtract 1/9 - 1/14, we need to find a common denominator. The smallest number that both 9 and 14 divide into is 126.

So, we will convert both fractions to have a denominator of 126:

1/9 = 14/126

1/14 = 9/126

Now we can subtract them:

1/9 - 1/14 = 14/126 - 9/126

Simplifying the right-hand side by subtracting the numerators, we get:

5/126

Therefore, 1/9 - 1/14 = 5/126 as an improper fraction.

Answer:

1/9-1/14

=14-9/9*14

=5/126

= 25 1/5

The height οf the cylinder is apprοximately 6.38 centimetres.

The cylinder's altitude is a perpendicular segment frοm the plane οf οne base tο the plane οf the οther, and the cylinder's height is the length οf the altitude. A cylinder's axis is the segment cοntaining the centres οf the twο bases.

The vοlume οf a right circular cylinder is calculated as fοllοws:

[tex]V = \pi r^2h[/tex]

where V is the vοlume, r is the radius οf the base, and h is the cylinder's height.

Substituting the fοllοwing values:

[tex]1280 = \pi(8^2)h[/tex]

Simplifying:

[tex]1280 = 64\pi h[/tex]

By dividing bοth sides by 64, we get:

[tex]h = 1280/(64\pi)[/tex]

Simplifying and rοunding tο the nearest twο decimal places:

h ≈ 6.38

As a result, the cylinder's height is apprοximately 6.38 centimetres.

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20. Took the quiz, and received a 100 percent.

Answer:

The area of a semicircle with diameter 28 cm is 98π cm², or 307.88 cm² to the nearest tenth.

Step-by-step explanation:

A semicircle is a two-dimensional shape that is exactly half of a circle.

The area of a circle is given by the formula:

[tex]\sf A=\pi r^2[/tex]

where A is the area of the circle, and r is the radius of the circle.

The diameter of a circle is twice its radius.

Given the diameter of the semicircle is 28 cm, the radius is:

[tex]\sf r = \dfrac{28}{2} = 14 \; cm[/tex]

Substituting this into the formula for the area of a circle, we get:

[tex]\sf A = \pi(14)^2[/tex]

[tex]\sf A = 196 \pi[/tex]

Finally, divide this by two to get the area of the semicircle:

[tex]\sf Area\;of\;semicircle = \dfrac{1}{2} \cdot 196 \pi[/tex]

[tex]\sf Area\;of\;semicircle = 98 \pi\; cm^2[/tex]

So the area of a semicircle with diameter 28 cm is 98π cm², or 307.88 cm² to the nearest tenth.

We can see that 36 is a composite number.

We also know that [tex]36=1\times36[/tex], [tex]3\times15[/tex], or [tex]4\times9[/tex]. All of these numbers are prime numbers so they are all factors of 36.

Thus we see that the factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36.

Answer:

f(x) = (x^2 - 25) / (x - 5)

Step-by-step explanation:

Note that this function is undefined at x=5, which satisfies condition (a). Also, the function is defined for all other real numbers, which satisfies the domain and range requirement of (a).

For condition (b), note that the function is defined for all positive numbers greater than 1, including 1, since the denominator (x-5) will be positive for these values of x.

For condition (c), note that the function is undefined at x=1, since the denominator (x-5) will be negative for x slightly less than 1. Therefore, the function is defined for all positive numbers greater than 1, but not including 1.

Answer:

when y=3.2, the value of x is 0.4.

Step-by-step explanation:

If y is directly proportional to x, it means that y = kx, where k is the constant of proportionality. To find the value of k, we can use the given information that when x=20, y=160:

y = kx

160 = k(20)

k = 8

Now that we have the value of k, we can use it to find the value of x when y=3.2:

y = kx

3.2 = 8x

x = 0.4

Therefore, when y=3.2, the value of x is 0.4.

The cube has 8 vertices. Exercise 21 states that for a polyhedron with V vertices, E edges, and F faces, the following equation holds:

V - E + F = 2

To use this equation to find the number of vertices of a cube with 12 edges and 6 faces, we first need to identify the values of E and F.

A cube has 12 edges, as given in the problem statement, and it has 6 faces since a cube has 6 square faces.

Substituting these values into the equation, we get:

V - 12 + 6 = 2

Simplifying this equation, we have:

V - 6 = 2

Adding 6 to both sides, we get:

V = 8

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Answer:

86.24

Step-by-step explanation:

If you divide 12 ÷ 98 you will get 11.76

Now with that information you will subtract 11.76 to 98 and will get a total of  

86.24

Hope this helped :)

The answer is letter A and letter F.

The question is asking if any of these choices are less than 300 centimeters. To find this out, first, you have to convert the meters to centimeters, to make it easier. (1 centimeter is equal to 0.01 meters) Multiply the meters by 100. For example 1.8m x 100 = 180cm. Do the rest for the other meters and then add them to the centimeters. Example: 180cm + 110cm = 290cm, which is less than 300cm.

Answer:

the value of r that makes the slope of the line passing through (3, 5) and (-3, r) equal to 3/4 is r = 1/2

Step-by-step explanation:

We can use the formula for the slope of a line passing through two points, which is:

m = (y2 - y1)/(x2 - x1)

where (x1, y1) and (x2, y2) are the coordinates of the two points.

In this case, we have two points (3, 5) and (-3, r), and we know that the slope m is 3/4. So we can write:

3/4 = (r - 5)/(-3 - 3)

Simplifying this equation, we get:

3/4 = (r - 5)/(-6)

Multiplying both sides by -6, we get:

-9/2 = r - 5

Adding 5 to both sides, we get:

r = -9/2 + 5

Simplifying, we get:

r = 1/2

The measure of the arc intercepted by the angle and the vertical angles make up the angle subtended at the center. As a result, XYZ has a value of 35°.

Two lines intersect at a location, creating an angle.

An "angle" is the term used to describe the width of the "opening" between these two rays. The character is used to represent it.

Angles are frequently expressed in degrees and radians, a unit of circularity or rotation.

In geometry, an angle is created by joining two rays at their ends. These rays are referred to as the angle's sides or arms.

An angle has two primary components: the arms and the vertex. T

he two rays' shared vertex serves as their common terminal.

Hence, The measure of the arc intercepted by the angle and the vertical angles make up the angle subtended at the center. As a result, XYZ has a value of 35°.

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So, out of 75 pulls, we would anticipate choosing a yellow pebble 25 times.

The measurement and study of random events are the focus of the mathematic branch known as probability. It entails calculating the probability of an event happening, with a scale from 0 (impossible) to 1. (certain). The fundamental meaning of chance is: Number of favourable outcomes minus the total number of outcomes equals the probability of an occurrence.

given

There are a total of the following painted stones in the box:

Total painted stones equals Claire's painted stones plus Laura's painted stones.

Total number of decorated stones: 35 + 40 = 75

Number of yellow stones equals the sum of Claire's and Laura's yellow pebbles.

5 Plus 20 = 25 yellow pebbles total.

As a result, the likelihood of getting a yellow pebble on any given draw is:

Number of yellow pebbles / total painted pebbles represents the likelihood of painting a yellow pebble.

25/75 is the likelihood of getting a yellow pebble.

The likelihood of drawing a yellow pebble on each draw is the same because we are drawing with substitution.

In 75 pulls, there should be an average of:

Number of draws times the likelihood of getting a yellow pebble yields the expected number of yellow pebbles.

Number of yellow pebbles anticipated Equals 75 * (1/3)

Expected quantity of golden stones: 25

So, out of 75 pulls, we would anticipate choosing a yellow pebble 25 times.

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Therefore , the solution of the given problem of function comes out to be f(x) = sec(x) has a period of 2. 2 is the answer.

The midterm test questions will cover all of the topics, including actual as well as fictitious locations and arithmetic variable design. a diagram showing the relationships between different elements that cooperate to create the same result. A service is composed of numerous distinctive components that cooperate to create distinctive results for each input. Every mailbox has a particular spot that might be used as a haven.

Here,

=> F(x) = sec(x) has a 2 phase.

Because the secant function is periodic, its values recur after a predetermined amount of time.

This interval's length is equal to the secant function's duration.

The formula for the secant function is

=> sec(x) = 1/cos.(x).

The cosine function repeats its values every 2 units of x, which is known as its period.

Consequently, the secant function has a period of 2 as well.

Therefore, f(x) = sec(x) has a period of 2. 2 is the answer.

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The two requirements for a discrete probability distribution are that the probabilities assigned to each possible outcome must be between 0 and 1 inclusive, and the sum of probabilities of all possible outcomes must be equal to 1.

There are two main requirements for a discrete probability distribution,

The probabilities assigned to each possible outcome must be between 0 and 1 inclusive. That is, the probability of each outcome must be a non-negative number, and the sum of probabilities of all possible outcomes must be equal to 1.

Each possible outcome must be mutually exclusive. That is, only one of the possible outcomes can occur on any given trial of the random experiment.

These two requirements ensure that the probabilities assigned to each outcome are valid and that the total probability space is complete, allowing us to make valid inferences and predictions about the outcomes of random events.

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I have solved the question in general, as the given question is incomplete.

The complete question is:

What are the two requirements for a discrete probability distribution?

Answer:

$85.47

Step-by-step explanation:

Before tax and before tip: $74

Tax is 5%.

5% of $74 = 0.05 × $74 = $3.70

Cost including tax (but not tip): $74 + $3.70 = $77.70

After tax but before tip: $77.70

Tip is 10%.

10% of $77.70 = 0.1 × $77.70 = $7.77

Total price after tax & tip:

$77.70 + $7.77 = $85.47

3 individuals believe Elvis is still alive but do not believe that they have been abducted by rebels.

A Venn diagram is a graphical representation of set theory that illustrates the relationships between sets. It consists of a rectangle or a circle representing the universal set and circles or ovals representing the subsets.

a) Here's a Venn diagram to model the information:

Label the left circle "Elvis is still alive" and the right circle "Abducted by rebels." The overlapping region of the circles represents the individuals who believe both.

b) To find out how many believe neither of these things, we need to subtract the number of individuals in the overlapping region from the total number of individuals surveyed.

Total surveyed = 64

Number who believe both = 42

Therefore, the number who believe neither is:

64 - 42 = 22

So, 22 individuals believe neither of these things.

c) To find out how many believe Elvis is still alive but do not believe that they have been abducted by rebels, we need to subtract the number of individuals in the overlapping region from the number who believe Elvis is still alive.

Number who believe Elvis is still alive = 45

Number who believe both = 42

Therefore, the number who believe Elvis is still alive but do not believe that they have been abducted by rebels is:

45 - 42 = 3

So, 3 individuals believe Elvis is still alive but do not believe that they have been abducted by rebels.

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Answer:

The common difference between consecutive terms in the sequence is 8 (since -17 + 8 = -9, -9 + 8 = -1, -1 + 8 = 7, and so on). Therefore, the recursive formula for this arithmetic sequence is:

a(1) = -17

a(n) = a(n-1) + 8 for n >= 2

This formula says that the first term in the sequence is -17, and each subsequent term is found by adding 8 to the previous term.

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The linear homogeneous constant-coefficient equation is y'' - 4y' + 2y = 0

A linear homogeneous constant-coefficient equation is of the form:

ay'' + by' + cy = 0

where a, b, and c are constants, and y is a function of x. The general solution of this equation can be written as:

[tex]y(x) = c_1e^{(r_1x)} + c_2e^{(r_2x)}[/tex]

where r₁ and r₂ are the roots of the characteristic equation:

ar² + br + c = 0

In our case, the general solution is given as:

y(x) = [tex]Ae^{2x}[/tex] + Bcos(2x) + Csin(2x)

To find the linear homogeneous constant-coefficient equation that has this general solution, we need to first write the general solution in the form:

[tex]y(x) = c_1e^{(r_1x)} + c_2e^{(r_2x)}[/tex]

where r₁ and r₂ are the roots of the characteristic equation. Comparing this form with the given general solution, we see that r₁ = 2, r₂ = 2i, and r3 = -2i.

Therefore, the characteristic equation is:

a(r-2)(r-2i)(r+2i) = 0

Expanding this equation, we get:

a(r³ - 2r²i - 2ri² + 4r² + 8i²r - 8i) = 0

Simplifying and grouping the real and imaginary terms, we get:

a(r³ - 4r) + 2a(r² + 4) = 0

Dividing by a, we get:

r³ - 4r + 2(r² + 4) = y'' - 4y' + 2y = 0

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Complete Question:

Find a linear homogeneous constant-coefficient equation with the given general solution

y(x)=Ae²ˣ+Bcos(2x)+Csin(2x)

The solution using matrix inversion is x = -1 and y = 0.

To solve this system of equations using matrix inversion, we first need to write the system in matrix form:

[tex]\left[\begin{array}{cc}4&1\\4&-3\end{array}\right] \left[\begin{array}{c}x\\y\end{array}\right] = \left[\begin{array}{c}-4\\-4\end{array}\right][/tex]

Next, we need to invert the coefficient matrix on the left-hand side of the equation by finding its inverse. The inverse of a 2x2 matrix is given by:

[tex]\left[\begin{array}{cc}a&b\\c&d\end{array}\right]^{-1} =\frac{1}{(ad - bc)} \left[\begin{array}{cc}-d&b\\c&-a\end{array}\right][/tex]

Using this formula, we can find the inverse of the coefficient matrix [4 1; 4 -3]:

[tex]\left[\begin{array}{cc}4&1\\4&-3\end{array}\right]^{-1} =\frac{1}{(-12 - 4)} \left[\begin{array}{cc}3&1\\4&-4\end{array}\right]=\frac{-1}{16} \left[\begin{array}{cc}3&1\\4&-4\end{array}\right][/tex]

Now we can solve for [x y] by multiplying both sides of the equation by the inverse of the coefficient matrix:

[tex]\left[\begin{array}{cc}4&1\\4&-3\end{array}\right]^{-1}\left[\begin{array}{cc}4&1\\4&-3\end{array}\right] \left[\begin{array}{c}x\\y\end{array}\right] = \frac{-1}{16} \left[\begin{array}{cc}3&1\\4&-4\end{array}\right]\left[\begin{array}{c}-4\\-4\end{array}\right][/tex]

[tex]\left[\begin{array}{cc}1&0\\0&1\end{array}\right] \left[\begin{array}{c}x\\y\end{array}\right] = \frac{-1}{16} \left[\begin{array}{c}-12-4\\-16+16\end{array}\right] = \left[\begin{array}{c}-1\\0\end{array}\right][/tex]

Therefore, x = -1 and y = 0, which is the same solution we obtained using row reduction.

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