I am getting solution wrong and
the third attempt is the last attempt.
Problem #1: Solve the following initial value problem. x= -13y₁ + 4y2 1/₂ = -24y₁ + 7y₂ y₁ (0) = 5, y₂(0) = 2. Enter the functions y₁(x) and y₂(x) (in that order) into the answer box b

Answer:

1. 16

Step-by-step explanation:

first one i believe is 16 dont need points keep them

Answer:

$39.38

Step-by-step explanation:

$36.98 * 6.5%= 2.4037

2.4037 + 36.98= 39. 3837

round up

$39.38

Answer:

39.38

Step-by-step explanation:

4. f(x,y) is homogeneous of degree 2.

5. a) f(x,y) is homothetic with h(x,y) = xy and g(x) = x-1

4. Show that f(x,y)=\(x^2\)y is homogeneous, and find its degree of homogeneity:

A function is said to be homogeneous of degree k, if it satisfies the condition:

f(tx,ty) = \(t^k\)f(x,y)

We have f(x,y) = \(x^2\)y. Let’s check if it satisfies the above condition:

f(tx,ty) = \((tx)^2(ty) = t^3x^2y = t^2(x^2y\)) = \(t^2\)f(x,y)

Hence f(x,y) is homogeneous of degree 2.

5. Which of the following functions f(x,y) are homothetic? Explain.

(a) f(x,y)=\((xy)^2\)+1

(b) f(x,y)=\(x^2+y^3\)

Let us first understand the meaning of homothetic transformation.

A homothetic transformation is a non-rigid transformation of the Euclidean plane that preserves the direction of the straight lines but not their length. It stretches or shrinks the plane by a constant factor called the dilation.

Let’s now find out whether the given functions are homothetic or not.

(a) f(x,y)=\((xy)^2\)+1

In order to check if f(x,y) is homothetic or not, we need to check if the function satisfies the following condition:

f(x,y) = g(h(x,y))

where g is a strictly monotonic function and h is a homogeneous function with degree 1

We have

f(x,y) = \((xy)^2\)+1

Let’s assume g(x) = x - 1, then g(x+1) = x

Similarly, let’s assume h(x,y) = (xy), then h(tx,ty) = \(t^2\)h(x,y)

Now, we have

g(h(x,y)) = h(x,y) - 1 = (xy) - 1

Thus f(x,y) is homothetic with h(x,y) = xy and g(x) = x-1

(b) f(x,y)=\(x^2+y^3\)

We can’t write this function in the form f(x,y) = g(h(x,y)) where h(x,y) is a homogeneous function with degree 1. Hence this function is not homothetic.

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Answer:

A = 126.6525 = 126.65 cm^2

Step-by-step explanation:

The formula for perimeter of a square is P = 4s, where s represents the sides of the square.

So, we have 45 = 4s and s = 11.25

The formula for area of a square is A = s^2, so we have A = 11.25^2 = 126.6525 = 126.65 cm^2

Round as much as you need.

The correct function that defines the area of the rectangle is:

A(z) = 2\(x^{2}\)+ 9x + 4 (option A).

The area of a rectangle is given by the product of its length and width. So, the function that defines the area of the rectangle would be:

A(x) = l(x) * w(x)

where l(x) is the length of the rectangle given by the function 1(x) = 2x + 1, and w(x) is the width of the rectangle given by the function w(x) = x + 4.

Substituting the given functions for length and width, we get:

A(x) = (2x + 1) * (x + 4)

Now, we can expand and simplify the expression:

A(x) = \(2x^2 + 8x + x + 4\)

A(x) = \(2x^2 + 9x + 4\)

So, the correct function that defines the area of the rectangle is:

A(z) =\(2x^2 + 9x + 4 (\)option A).

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Answer: -1.9d + 5.4h - 13

Step-by-step explanation:

Answer:

the second choice

Step-by-step explanation:

3.1 is to the left of 3.4 on the number line, therefore it is smaller

Answer: 60 degrees

Step-by-step explanation: Because all sides are equilateral, and in an equilateral triangle all angles are 60 degrees, hope that helps.

Answer:

Step-by-step explanation:

Dhddhhfjvjvmx,sfkiritifkflf,gjgi*jfckblhog

The process of writing the equation involves calculatng the slope and the y-intercept

Represent the coordinates of the points with (x₁, y₁) and (x₂, y₂)

To write the equation of a line given two points, we first need to determine the slope of the line using the formula

Slope =  (y₂ - y₁)/(x₂ - x₁),

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

Once we have the slope, we can use the point-slope form of a line,

y - y₁ = m(x - x₁),

Where m is the slope and (x₁, y₁) is one of the given points.

We can then simplify this equation into slope-intercept form, y = mx + b, where b is the y-intercept of the line.

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Answer:

B

Step-by-step explanation:

Mechanical Energy is the total energy of an object or group of objects due to large-scale motions and interactions. An example of that is when a basketball player shoots the ball.

Answer:

JL ⊥ KM

Step-by-step explanation:

JL ⊥ KM would make the quad a rhombus because JKLM is a parallelogram since opposite sides are congruent.  If the diagonals of a parallelogram are perpendicular, then the quad must be a rhombus.

JL must be perpendicular to KM because in a parallelogram if diagonals are perpendicular then the quadrilateral JKLM is a rhombus.

Given :

The following steps can be used in order to determine the correct statement that shows that JKLM is a rhombus:

Step 1 - Remember a quadrilateral has four sides and the sum of the interior angles of a quadrilateral is 360 degrees.

Step 2 - According to the given data, KL ≅ JM, JK ≅ LM, and KA ≅ MA.

Step 3 - So, to make JKLM a rhombus, JL must be perpendicular to KM because in a parallelogram if diagonals are perpendicular then the quadrilateral JKLM is a rhombus.

Therefore, the correct option is B).

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Answer:

Step-by-step explanation:

Because the cosine is a positive function from which we can deduce                   \(\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppppppppppppppppppppppppp\dddddd \displaystyle \Large \boldsymbol{Rule : cos(-\alpha)=cos\alpha } \\\\\\ \cos\bigg(\frac{-3\pi }{4} \bigg)=cos135=-sin45=-\frac{\sqrt{2} }{2} \\\\\\cos\bigg(\frac{5\pi }{4} \bigg)=cos225=-sin45=-\frac{\sqrt{2} }{2}\)                            Therefore, they are equal                      

Answer:

y equals negative 3 times x plus 7 over 4

Step-by-step explanation:

3x + 4y = 7

subtract (–3x) from both sides

3x – 3x + 4y = –3x + 7

4y = –3x + 7

divide both sides by 4

\( \frac{4y}{4} = \frac{ - 3x + 7}{4} \)

\(y = \frac{ - 3x + 7}{4} \)

i hope this helps

Answer:

it is 1 2/10 but simplified to 1 1/5

Step-by-step explanation:

The domain of the function shown in the graph is the one in option A:

6 ≤ k ≤ 11

The domain of a function y = f(x) is the set of the inputs of the function. To identify the domain in a graph, we need to look at the horizontal axis (also called the x-axis).

On the graph we can see that it starts at x = 6 with a closed dot, and it ends at x = 11 also with a closed dot.

That means that these values belong to the domain, so we can write the domain as follows:

Domain = 6 ≤ k ≤ 11

(notice that the variable in the horizontal axis is k).

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Answer:

Correct options:

(x – 8)² + (y – 9)² = 3

(x – 8)² + (y – 9)² = 14

Step-by-step explanation:

If the circle has a center at (8,9), the equation for this circle is:

\((x-8)^2 + (y - 9)^2 = r^2\)

All concentric circles have the same center, so their equations need to have the same left side of the equation above.

-> x2 + y2 = 25

This circle has a center at (0,0), so it's not concentric to our circle.

-> (x – 8)² + (y – 9)² = 3

This circle has a center at (8,9), so it's concentric to our circle.

-> (x – 8)² + (y – 9)² = 14

This circle has a center at (8,9), so it's concentric to our circle.

-> (x – 8)² + (y + 9)² = 3

This circle has a center at (8,-9), so it's not concentric to our circle.

-> (x + 8)² + (y + 9)² = 25

This circle has a center at (-8,-9), so it's not concentric to our circle.

-> (x + 9)² + (y + 8)² = 3

This circle has a center at (-8,-9), so it's not concentric to our circle.

Correct options:

(x – 8)² + (y – 9)² = 3

(x – 8)² + (y – 9)² = 14

Answer:

B. (x – 8)² + (y – 9)² = 3

C.(x – 8)² + (y – 9)² = 14

Step-by-step explanation:

edg 2020

Answer:

Rhombuses

Step-by-step explanation:

It has four vertical lines, then draw a Venn Diagram, opposite to opposite.

Order from Venn Diagrams:

Quadrilaterals

Rectangles

Squares

Rhombuses.

Answer:

z=1/2 and z=3/2

Step-by-step explanation:

Answer:

19 but if its is the joke version then 21

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

The width of the frame will be 6 inches.

The area of the rectangle is defined as the space occupied by the rectangle in two dimensional space.

Given that a rectangular picture is 9 inches wide and 12 inches long. the picture has a frame of uniform width. if the combined area of picture and frame is 180 in².

The area of the picture is calculated as:-

Area = L x W

Area =  12 x 9

Area = 108 square inches

The remaining area of the frame is,

Area = 180 - 108

Area = 72 square inches.

The width of the ram is calculated as:-

Area = L x W
72 = 12 x W
W = 72 / 12

W = 6 inches

Therefore, the frame will have a width of 6 inches.

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Answer:

kdwnoioinfeoawfbcaeiuhvaeoihvaeoidvajae

Answer:

2000 profit

Step-by-step explanation:

Profit= Selling Price (S.P)- Cost Price(C.P)

SP=26000

CP=24000

26000-24000=2000

Answer:

2000

Step-by-step explanation:

Answer:

x = 100

Step-by-step explanation:

You have to use the equation 15x + 10 = 6x - 6 + 70. This equation finds out that x = 6. Then, you would multiply 6 by 15. This gets 90. Finally, add 10 to that.

Answer:

the answer should be, A. im pretty good at this kind of thing so It should be right but if not, sorry.

Step-by-step explanation:

Answer:

in the proprety of the number of negs and postive and y the graph -23+y=8 being that the nuber is -15

Answer:

18p+6

Step-by-step explanation:

The product of the expression is 2x⁶ + 23x³ + 63

First, we should note that algebraic expressions are described as expressions that are composed of coefficients, terms, constants, variables and factors.

These algebraic expressions are also made up of mathematical operations, such as;

From the information given, we have that;

2x3 +9 and x3 +7?

Then,

(2x³ + 9)(x³ + 7)

expand the bracket

2x⁶ + 14x³ + 9x³ + 63

add like terms

2x⁶ + 23x³ + 63

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