How many solutions does the following system of equations have?
2y=2x+4
y=3x + 2
A. One
B. Two
C. Infinitely many
D. Zero

Answer:

Our calculator limits your interest deduction to the interest payment that would be paid on a $1,000,000 mortgage. Interest rate: Annual interest rate for this

Step-by-step explanation:

Answer: I believe he could wear 768 outfits

Step-by-step explanation: I had a similar question consisting of the same numbers.

The point that represent the origin in the number line is Point W

A number line is a horizontal representation of numbers in parts with equal intervals

The numbers in a number line is arranged to be increasing from left to right , hence drawing a number line will have the smaller values to the left of the bigger values at right

number line on -5 to 5 will have the origin at the center and te center here is zero which is similar to p

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The minimum value of 8x³ + 54x + 27³x + 36x  is  81√6/7.

The minimum value of 8x³ + 36x + 54x + 27³x  for positive real numbers x is 81√6.

We have the expression: 8x³ + 36x + 54x + 27³x

Let's factorize it in the following way : 8x³ + 54x + 27³x + 36x = 8x³ + 3³x(3²x + 2) + 3²(3x²) = 8x³ + 3³x(3²x + 2) + 9(3x²)

Let's consider the AM-GM inequality : a + b ≥ 2√ab, for any real positive numbers a and b.

So, we have :

8x³ + 3³x(3²x + 2) + 9(3x²) = 8x³ + 9(3x²) + 3³x(3²x + 2)≥ 3√[8x³ × 9(3x²) × 3³x(3²x + 2)]

This implies : 8x³ + 9(3x²) + 3³x(3²x + 2) ≥ 18x√[2x]

This is because 8x³ × 9(3x²) × 3³x(3²x + 2)

= 81(2x)³x²(3²x + 2)

= 1458(2x)³x³(3²x + 2)

Thus, 8x³ + 9(3x²) + 3³x(3²x + 2) ≥ 18x√[2x]

The minimum value of 18x√[2x] is when 2x is equal to 1.

This is because when 2x is equal to 1,

we have: 18x√[2x] = 18(1/2)√1 = 9.

Now, 8x³ + 9(3x²) + 3³x(3²x + 2) ≥ 9.

In other words,8x³ + 54x + 27³x + 36x ≥ 9

This implies: 8x³ + 54x + 27³x + 36x + 81³x ≥ 9 + 81³x = 81(1 + 3³x)

The above inequality can be written as: (1 + 3³x)(8x³ + 54x + 27³x + 36x) ≥ 81

Therefore, 8x³ + 54x + 27³x + 36x ≥ 81/(1 + 3³x)

This implies: 8x³ + 54x + 27³x + 36x ≥ 81/28

The above inequality can be written as: 8x³ + 54x + 27³x + 36x ≥ 81√6/14

This implies: 8x³ + 54x + 27³x + 36x ≥ 81√6/7.

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There are 3feet in one yard.

Let B = number of feet

Let Y = number of yards

B = 3Y

Answer:

=50.29

Step-by-step explanation:

The perimeter of a circle is also called the circumference

C = 2 * pi *r

25 1/7 = 2 * 22/7 *r

Rewriting as an improper fraction on the left

(25*7 +1)/7 = 44/7 *r

176/7 = 44/7 r

Multiplying each side by 7/44

7/44 *176/7 = 7/44 *44/7 r

4 = r

We can now find the area by

A = pi r^2

A = (22/7) * 4^2

A = 22/7 * 16

  =352/7

Rounding to the nearest hundredth

  =50.29

Answer:

50.95

Step-by-step explanation:

is the right answer

Answer:

3

Step-by-step explanation:

25.5-9.5=16

16-15=1 (highest multiple of 5 that fits into 16)

He can buy 3 cds and he will have $1 left over

Answer:

infinitely many solutions

Step-by-step explanation:

Answer:

La respuesta es 25.49

Step-by-step explanation:

Se siguen la jerarquia de las operaciones .

Primero se efectuan las potencias y luego las suma

5^2+0.7^2

25+0.49=25.49

Logical Error: In computer programming language, a logic error is a bug or in a program or code that causes it to operate incorrectly, but not to terminate abnormally (or crash).

A logic error developed unintended or undesired output or other behavior, although it may not immediately be recognized as such.

For example, assigning a value to the wrong variable may cause a many of unexpected program errors.

These errors can be programmer mistakes or sometimes machine less memory to load the code.

if(x>=5) {

// program

}

else if(x==5) {

//program

}

else(x<=5) {

//program

}

they all do not give any error.

x=5 gave an error because it is value assigning to 5.

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The correct value of the inequality as solves is x > 14 , and the error made by the student was that he directly divided the RHS by 7.

To simplify the equation we will multiply 7 on both the sides.

Then we will get the result as 7x > 98

Thus, we can say that the new inequality will be x > 14 ,

Hence , the mistake made by the student was that he didn't divided both the sides by 7 but only one side.

So a result, he obtained the incorrect result x>2.

Inequality is a concept in mathematics and uses symbols such as > , < , <= , >= etc.

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The given triangles are obtuse = 36 m, right angled = 225 m and right angled = 2500 m.

Triangle can be defined in which it consists of three sides, three angles and sum of three angles is always 180 degrees.

7.) This triangle is obtuse.

To see this, we can use the Pythagorean theorem:

4*4 + 5*5 = 16 + 25 = 41

6*6 = 36 m

Since 41 > 36, we know that the triangle is obtuse.

8.) This triangle is right.

To see this, we can again use the Pythagorean theorem:

11*11 + 12*12 = 121 + 144 = 265

15*15 = 225 m

Since 265 = 225 + 40, we know that the triangle is right.

9.) This triangle is also right.

We can use the same method as before:

30*30 + 40*40 = 900 + 1600 = 2500

50*50 = 2500 m

Since 2500 = 2500, we know that the triangle is right.

Therefore, The given triangles are obtuse , right angled and right angled.

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Distance from the summit of Mount Everest to the horizon, Rounded to the nearest mile, the distance from the summit of Mount Everest to the horizon is 210 miles.

Distance refers to the space between two points or the length of a line between them. It may also refer to a range, extent, or magnitude that separates one point from another. Distance may be a physical concept, such as the distance between two cities or the distance traveled by a moving object.

The distance between two points can be calculated using a number of mathematical techniques, including the Pythagorean theorem, the distance formula, and vector addition.

d = √(2Rh + h²)

where d is the distance to the horizon, R is the radius of the Earth (4000 miles), and h is the height of the observer (in this case, the height of the summit of Mount Everest, which is 29,030 feet).

We need to convert the (h) height of the summit to miles:

29,030 ft = 29,030/5280 miles ≈ 5.49 miles

Now we can plug in the values and solve for d:

d = √(2 × 4000 × 5.49 + 5.49^2) =209.64288 ≈ 210 miles

Therefore, the distance from the summit of Mount Everest to the horizon is approximately 210 miles when rounded to the nearest mile.

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To show that the matrix A = [XX - X'Z(ZZ)^(-1)Z'X] is positive definite, we need to demonstrate two properties: (1) A is symmetric, and (2) all eigenvalues of A are positive.

Symmetry: To show that A is symmetric, we need to prove that A' = A, where A' represents the transpose of A. Taking the transpose of A: A' = [XX - X'Z(ZZ)^(-1)Z'X]'. Using the properties of matrix transpose, we have:

A' = (XX)' - [X'Z(ZZ)^(-1)Z'X]'. The transpose of a sum of matrices is equal to the sum of their transposes, and the transpose of a product of matrices is equal to the product of their transposes in reverse order. Applying these properties, we get: A' = X'X - (X'Z(ZZ)^(-1)Z'X)'.  The transpose of a transpose is equal to the original matrix, so: A' = X'X - X'Z(ZZ)^(-1)Z'X. Comparing this with the original matrix A, we can see that A' = A, which confirms that A is symmetric.  Positive eigenvalues: To show that all eigenvalues of A are positive, we need to demonstrate that for any non-zero vector v, v'Av > 0, where v' represents the transpose of v. Considering the expression v'Av: v'Av = v'[XX - X'Z(ZZ)^(-1)Z'X]v

Expanding the expression using matrix multiplication : v'Av = v'X'Xv - v'X'Z(ZZ)^(-1)Z'Xv. Since X and Z have full column rank, X'X and ZZ' are positive definite matrices. Additionally, (ZZ)^(-1) is also positive definite. Thus, we can conclude that the second term in the expression, v'X'Z(ZZ)^(-1)Z'Xv, is positive definite.Therefore, v'Av = v'X'Xv - v'X'Z(ZZ)^(-1)Z'Xv > 0 for any non-zero vector v. Implications in econometrics: In econometrics, positive definiteness of a matrix has important implications. In particular, the positive definiteness of the matrix [XX - X'Z(ZZ)^(-1)Z'X] guarantees that it is invertible and plays a crucial role in statistical inference.

When conducting econometric analysis, this positive definiteness implies that the estimator associated with X and Z is consistent, efficient, and unbiased. It ensures that the estimated coefficients and their standard errors are well-defined and meaningful in econometric models. Furthermore, positive definiteness of the matrix helps in verifying the assumptions of econometric models, such as the assumption of non-multicollinearity among the regressors. It also ensures that the estimators are stable and robust to perturbations in the data. Overall, the positive definiteness of the matrix [XX - X'Z(ZZ)^(-1)Z'X] provides theoretical and practical foundations for reliable and valid statistical inference in econometrics.

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Answer:

answer is a . x²-8x+16=32

x²-8x=32-16

Answer:

11% Increase

Step-by-step explanation:

11% increase. 182,040-164,000=18,040. 18,040=11% of 182,040

Answer:

236

Step-by-step explanation:

we are to solve for f(g(2)

that means, solve for g(2) first, then place it in f

g(2) = x^3 + 1

= 2^3+1

= 8+1 = 9

f(g(2) = f(9) since g(2) = 9

f(9)= 3x^2-7

3*9^2-7

3*81-7

243-7

236

Answer:

236 is the answer

Step-by-step explanation:

Answer:

165.666666667

Step-by-step explanation:

prisms have six walls, so you divide 994 by six

The slope-intercept form of the given equation is y = -3/5x - 5

From the question, we are to write the given equation in the slope-intercept form

From the given information,

The given equation is

3x + 5y = -25  

The general form for the slope-intercept form of the equation of a line is

y = mx + b

Where m is the slope

and b is the y-intercept

Writing the equation in the slope-intercept form of a line

3x + 5y = -25

5y = -3x - 25

Divide through by 5

5y/5 = -3/5x - 25/5  

y = -3/5x - 5

The equation is y = -3/5x - 5

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Answer:

\(x^2 - 10x + 25\)

Step-by-step explanation:

Hello!

Expand the square using the Distributive Property.

Distributive x - 5 to each factor

The answer is \(x^2 - 10x + 25\).

We can also use a special binomial product formula.

Formula: \((a - b)^2 = a^2 - 2ab + b^2\)

We get the same answer both ways.

Answer:

C

Step-by-step explanation:

negative four raised to the sixth power divided by negative four raised to the fourth power

because  negative four raised to the fourth power divided by negative four raised to the second power = negative four raised to the second power

negative four raised to the sixth power divided by negative four raised to the fourth power also = negative four raised to the second power

The answer is A: negative four raised to the second power divided by negative four raised to the fourth power. This is obtained by applying the rules of exponents, specifically, when dividing with the same base, subtract the exponents.

This question pertains to exponents division rules. According to the rule of Power of a Power in exponents, when you divide expressions with the same base, you subtract the exponents. So if you have negative four raised to the fourth power (-4⁴) and you want to divide it by negative four raised to the second power (-4²), you subtract 2 from 4 to get an exponent of 2. This results in a negative four raised to the second power (-4²). So, the correct option from the given choices in your question is A: negative four raised to the second power divided by negative four raised to the fourth power.

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The statements for the function f( x) = 3x ²- 5 are

f( 5)< 1( false)

f( 0) = 1( false)

Statements for the function f(x) = 3x ²- 5

To find the true or false statement we have to substitute the value for x

First, x= 3

f(x) = 3x ²- 5

f(3)= 3( 5)²- 5

f(3) = 75- 5

f(3)= 70.

Thus, the statement" f( 5)< 1" is false.

Now, at x =0

f(x) = 3x ²- 5

f(0) = 3( 0)²- 5

f(0)= 0- 5

f(0)= -5.

Thus, the statement" f( 0) = 1" is false.

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Answer:

they is no answer because x-+20 is not applicable to math

Answer:

x = -20

Step-by-step explanation:

because there is no quadratic equation there

Answer:

48

Step-by-step explanation:

Answer:

y ≥ -84

Step-by-step explanation:

-84 id the vertex so it is the lowest possible value for the range

Answer:

C. $5,400 per year.

Step-by-step explanation:

Average rate of change = ($112,000 - $85,000) / 5 = $27,000 / 5 = $5,400 per year

The given system satisfies the convergence condition for the Gauss-Seidel method, indicating that it will converge.

To determine if the given system will converge for the Gauss-Seidel method, we need to check if it satisfies the convergence condition.

In the Gauss-Seidel method, a system converges if the absolute value of the diagonal elements of the coefficient matrix is greater than the sum of the absolute values of the other elements in the same row.

Let's analyze the given system:

10cc1 + 2cc2 - cc3

The diagonal element is 10, and the sum of the absolute values of the other elements in the first row is 2 + 1 = 3. Since 10 > 3, the convergence condition is satisfied.

Therefore, we can conclude that the given system will converge for the Gauss-Seidel method.

To verify if a system will converge for the Gauss-Seidel method, we need to ensure that the convergence condition is satisfied. In this method, convergence is achieved if the absolute value of the diagonal elements of the coefficient matrix is greater than the sum of the absolute values of the other elements in the same row.

Analyzing the given system, we have the equation 10cc1 + 2cc2 - cc3 . We observe that the diagonal element of the coefficient matrix is 10. Now, let's calculate the sum of the absolute values of the other elements in the first row. We have 2 and 1 as the other elements. Adding their absolute values, we get 2 + 1 = 3.

Comparing the diagonal element with the sum, we find that 10 is greater than 3. Therefore, the convergence condition is satisfied for this system. As a result, we can conclude that the given system will converge when using the Gauss-Seidel method.

The given system satisfies the convergence condition for the Gauss-Seidel method, indicating that it will converge.

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Answer:

the slope of these points is 8/3