Given h (x) = -x -3, find h (-6)

The required value of the F in the matrix is given as -8. Option B is correct.

Given that,
A system of equations is given, convert the equation into matrix form, and determine the corresponding value of the F.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
-2x + 5y -3z = -25
-4x - 3y - 8z = -39
6x + 8y - 5z = 14

Converting the above system of equations in the matrix form,
\(\left[\begin{array}{ccc}-2&5&-3\\-4&-3&-8\\6&8&-5\end{array}\right] \left[\begin{array}{ccc}x\\y\\z\end{array}\right] = \left[\begin{array}{ccc}-25\\-39\\14\end{array}\right]\)
Now compare the above matrix with the given matrix, where F = -8

Thus, the required value of the F in the matrix is given as -8. Option B is correct.

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Answer:

-7

Step-by-step explanation:

The weight of the 0.8-meter piece is 19.6 kilograms.

We can use the ratio of length to weight to determine the weight of the 0.8-meter piece.

Let's call the weight of the 2.8-meter piece "W₁" and the weight of the 0.8-meter piece "W₂". Then we have:

W₁/2.8m = 24.5kg/1m

Solving for W₁, we get:

W₁ = (24.5kg/1m) x 2.8m = 68.6kg

Now we can use the same ratio to find W₂:

W₂/0.8m = 24.5kg/1m

Solving for W₂, we get:

W₂ = (24.5kg/1m) x 0.8m = 19.6kg

Therefore, the weight of the 0.8-meter piece is 19.6 kilograms.

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Answer:

P = $2,000

Step-by-step explanation:

Interest = Principal x Rate x Time

500 = P(.05)(5)

500 = .25P

P = 500/.25

P = 2000

Answer:

The answer is Zack garden

Answer:

Step-by-step explanation:

91 - 42 = 49 (amount of regular sodas sold)

Answer: 49:42

Answer:

$225.00

Step-by-step explanation:

7% of 225 is $15.75

.07x225=$15.75

$225+$15.75=$240.75

Exact form: \(5\sqrt{14} + 2\sqrt{83}\)

Decimal form: 36.92915

Answer:

-3/5

Step-by-step explanation:

Given :-

And we need to find the value of sine for this angle. Therefore we can say that , Base = 16 units and Perpendicular = 12 units . So Using Pyhthagoras Theorem , we can find hypontenuse.

Using Pythagoras Theorem :-

\(:\implies\) h² = p² + b²

\(:\implies\) h² = 16² + 12²

\(:\implies\) h² = 256 + 144

\(:\implies\) h² = 400

\(:\implies\) h = 20 u

Therefore the sine will be :-

\(:\implies\) sinθ = p/h

\(:\implies\) sinθ = 12/20

\(:\implies\) sinθ = 3/5

\(:\implies\) sinθ = -3/5

Therefore the value of sine is -3/5.

Step-by-step explanation:

Hey there!

Your required answer is option B.

Here,

Given,

The figure is an equilateral triangle with, side (7x+9) and (x+27).

By the defination of equilateral triangle we have,

All sides of equilateral triangle are equal.

So,

\(( 7x+ 9) = x + 27\)

Simplify them to get answer.

\(7x - x = 27 - 9\)

\(6x = 18\)

\(x = \frac{18}{6} \)

Therefore the value of x is 3.

Hope it helps...

The value of x in the figure is:

B) x = 3

Trigonometry deals with the relationship between the ratios of the sides of a right-angled triangle with its angles.

The signs on the three sides of the triangle indicate that all the sides of the figure are equal. Thus, we can say:

7x + 9 = x + 27

7x - x = 27 - 9

6x = 18

x = 18/6

x = 3

Therefore, the value of x is 3.

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Answer:

-28

Step-by-step explanation:

hope this helps :)

Answer:

4(1) - 5 = -1

4(2) - 5 = 3

4(3) - 5 = 7

Step-by-step explanation:

Replace variable "n" with values of "n".

4n-5 when n = 1 is 4(1) - 5

4(1) - 5 = -1

4(2) - 5 = 3

4(3) - 5 = 7

Step-by-step explanation:

(X1, Y1) = (-10 , 1)

slope/m = -2

y - y1 = m(x - x1)

y - 1 = -2(x + 10)

y = -2x - 20 + 1

y = -2x - 19

2x + y = -19 → equation

The equation that represents a quadratic relationship is y = 4x^2. Option A.

A quadratic relationship is a mathematical relationship where the variable y is a function of the variable x raised to the power of 2. In other words, it is an equation in which the highest power of the variable is 2.

Let's analyze the given equations:

1. y = 4x^2: This equation represents a quadratic relationship because the variable x is raised to the power of 2. The term 4x^2 indicates that the relationship between x and y is quadratic.

2. y = 4x^4: This equation represents a quartic relationship, not a quadratic relationship. The variable x is raised to the power of 4, which indicates a higher degree relationship than quadratic.

3. y = 4x^3: This equation represents a cubic relationship, not a quadratic relationship. The variable x is raised to the power of 3, indicating a higher degree relationship.

4. y = 4: This equation represents a linear relationship, not a quadratic relationship. It is a constant equation where y is always equal to 4, regardless of the value of x. In a quadratic relationship, the variable x should have a power of 2. Option A.

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Answer:

6.300

Step-by-step explanation:

Answer: What is "A" rounded to the nearest thousandth? answer: 6.340

What is "A" rounded to the nearest hundredth? Answer: 6.300

Step-by-step explanation: When you look to the right of the number place you are rounding, then it will tell you whether to round up or down, if it 4 or lower, then you round down by one digit, if it is 5 or higher, then you round up. Add any zeros if necessary.

Hope this helps, I'm doing math too, just taking a break to help someone else out.

The phrase "all free variables of a formula ϕ(u1, . . . , un) are among u1, . . . , un" refers to a property of a logical formula ϕ with variables u1, u2, ..., un. In logic and formal systems, variables are used to represent unspecified elements or objects.

When a variable is considered "free" in a formula, it means that it is not bound by any quantifiers or other logical operators in the formula. In other words, it is a variable that is not restricted in any way within the formula.

The given statement implies that all the free variables in the formula ϕ(u1, . . . , un) are explicitly listed among the variables u1, u2, ..., un. In other words, the formula ϕ does not contain any additional free variables beyond the ones explicitly mentioned.

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Answer:

\(y=-\frac{2}{3}x+\frac{8}{3} \ (slop-interception \ form).\)

Step-by-step explanation:

if A(1;2) and B(-2;4), then the required equation is:

\(\frac{x-X_B}{X_A-X_B} =\frac{y-Y_B}{Y_A-Y_B} ;\)

according to this formula, the required equation is:

\(\frac{x+2}{1+2} =\frac{y-4}{2-4}; \ => \ \frac{x+2}{3}=\frac{y-4}{-2}; \ or \ y=-\frac{2}{3}x+\frac{8}{3}.\)

Answer:

it can be 100 because percentages are out of 100

Answer:

the value of T that satisfies the equation 644 204 = 400 000(1+10%) is approximately 6.45.

Step-by-step explanation:

We can simplify the equation 644 204 = 400 000(1+10%) by first simplifying the percentage term on the right-hand side:

10% of 400 000 is equal to 0.1 × 400 000 = 40 000.

So the equation becomes:

644 204 = 400 000(1 + 0.1 × 1)

Now, we can use logarithms to solve for T:

T = log(base 1.1)(644204/400000)

Using a calculator, we can evaluate the right-hand side to be approximately 0.2, so:

T = log(base 1.1)(1.61051)

Using the change of base formula, we can rewrite this as:

T = ln(1.61051) / ln(1.1)

Evaluating the natural logarithms using a calculator, we get:

T ≈ 6.45

Answer:

New price = $210

Step-by-step explanation:

Given:

Original price = $120

Increase in cost = 75%

Find:

New price

Computation:

New price = Original price + Increase in cost

New price = 120 + 120(75%)

New price = 120 + 90

New price = $210

6. B. 2x + 6

7. A. 4x + 5

8. B. 3x + 10

9. C. This is because like terms are terms that have the same variables, for example: 6x - 9x, 12y - 4y, 3a + 5a. In the other choices, we can see that they are unlike terms, not like terms.

Answer:

Hey

Step-by-step explanation:

 -4x + 16= -2×2x -2×(-8)= -2(2x-8)

Answer C

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:

The sequence has a common difference of 5, thus the sequence is 4, 9, 14, 19, ... is defined recursively using the formula f(n 1) = f(n) – 5 .

We know that Recursive functions are functions used to generalize sequences. Given the recursive function as;

f(n - 1) = f(n) – 5 .

This can be written as:

f(n) - f(n-1) = 5

This formula shows that the correct sequence must have a common difference of 5

For the sequences; 4, 9, 14,19...

d = 9 - 4 = 14 - 9

d = 5

Therefore, the sequence  is 4, 9, 14, 19, ... is defined recursively using the formula  f(n 1) = f(n) – 5

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Answer:

The answer to the question provided is option 2.

The true statement based on the relationship depicted in the Venn diagram is that no rhombuses are trapezoids (option D).

To identify the true statement using the relationship represented in the Venn diagram, we need to analyze the overlapping regions and the properties of the shapes involved.

A trapezoid is a quadrilateral with at least one pair of parallel sides, while a rhombus is a quadrilateral with all sides of equal length. Let's evaluate the options:

A. All trapezoids are rhombuses: This statement is not true based on the diagram. The overlapping region between the trapezoids and rhombuses shows that there are trapezoids that are not rhombuses. Therefore, option A is incorrect.

B. All rhombuses are trapezoids: This statement is true based on the diagram. The entire region representing rhombuses is also included within the region representing trapezoids. Every rhombus can be considered a trapezoid because it has at least one pair of parallel sides. Thus, option B is correct.

C. No trapezoids are rhombuses: This statement is not true based on the diagram. The overlapping region indicates that there are trapezoids that are indeed rhombuses. Therefore, option C is incorrect.

D. No rhombuses are trapezoids: This statement is true based on the diagram. There is no overlap between the regions representing rhombuses and trapezoids, implying that no rhombus can be considered a trapezoid. Hence, option D is correct.

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Answer:

16 points.

Step-by-step explanation:

24*2/3 = 16.

Hope this helped!

*Sorry if I'm wrong, though I think I'm correct.*

Enjoy the rest of your day.

Answer:16

Step-by-step explanation: 24 divided by 3 because it is for every 3 questions. You get 8. He gets 2 points for every 3 questions so 8 times 2 is 16.

Answer:

The given the function F(x)=x^4-2x^3+3x^2-10x+3 and the factor (x-2). Hence, the value of x is 7.5.

Function is a type of relation, or rule, that maps one input to specific single output.

The given the function F(x)=x^4-2x^3+3x^2-10x+3 and the factor (x-2).

here x = 2

Substitute in the function;

F(x)=x^4-2x^3+3x^2 - ax+3

F(2) = 2^4-2(2)^3+3(2)^2 - a(2) +3

F(2) = 16 - 16 + 12 - 2a +3

F(2) = 15 - 2a

15 - 2a = 0

15 = 2a

a = 7.5

Hence, the value of x is 7.5

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The length of the rectangle is \(x^{4}\)- 7 units.

We know that,

                  Area of a rectangle = length* width

           So,                       Length = Area/width

According to the question,

                                    Area = \(7x^{5} - 49x\)

                                   Width = \(7x\)

             Length of the given rectangle = Area/width

                                                                = \(\frac{7x^{5}- 49x}{7x}\)

                                                                = \(\frac{7x(x^{4}- 7)}{7x}\)

                                                                = \(x^{4} - 7\)

Hence, the length of the rectangle is \(x^{4} - 7\) units.

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The complete question is:

A rectangle has an area of \(7x^{5}- 49x\). Its width is 7x units. What is its length?

Answer:

The discount is $4.47

Step-by-step explanation:

Answer: $4.47

Step-by-step explanation: