Describe the graph of y=1/2x-10 compared to the graph of y=1/x

The location of the corner of the rabbit pen that reflects (2.5, 2.5) across the y-axis is (-2.5, 2.5).

The coordinate plane, also called the Cartesian plane, is a two-dimensional grid used to locate points in space. It consists of two perpendicular number lines, one horizontal and one vertical, that intersect at their zero points, called the origin.

Points on the coordinate plane are identified by their coordinates, which are written as ordered pairs of numbers (x, y), where x is the horizontal coordinate and y is the vertical coordinate.

To solve this problem, we need to reflect the point (2.5, 2.5) across the y-axis. When we reflect a point across the y-axis, we keep the y-coordinate the same but change the sign of the x-coordinate.

So, the reflected point will have the same y-coordinate of 2.5, but the x-coordinate will be -2.5. Therefore, the location of the corner of the rabbit pen that reflects (2.5, 2.5) across the y-axis is (-2.5, 2.5).

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The area of the dark region is 164.15 square feet because it is equal to the sum of the areas of the circles and rectangles.

In geometry, a circle is a closed object made up of all the points in a plane that are equally spaced from the circle's centre. The radius and diameter of a circle are measured from the centre to any spot on the circle, respectively. The circumference, which is equivalent to pi times the diameter, is the distance around the circle.

given

[tex]area of circle = π * r * r[/tex]

= 22/7 * 2 * 2 = 88/7 ft2

area of rectangle = length * breadth

= 9.4 * 18.8

= 176.72 ft2

area of shaded region

176.72 - 12.57

= 164.15 ft 2

The area of the dark region is 164.15 square feet because it is equal to the sum of the areas of the circles and rectangles.

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A poset on [54] = {1, 2, ... ,54} with comparisons a < b if and only if a divides b is a partially ordered set where elements are related if one divides the other. The height of this poset is 6 (1, 2, 4, 8, 16, 32, 54), and the width is 10 (all the elements in the set).

A poset on [54] is a partially ordered set that is defined with the comparison a < b if and only if a divides b. In this poset, the elements are ordered based on the divisibility relation, meaning that an element a is considered to be less than another element b if and only if a divides b.

The height of this poset is the maximum number of elements in a chain, which is 6. This can be seen by considering the chain {1, 2, 4, 8, 16, 32}.

The width of this poset is the maximum number of elements in an antichain, which is 10. This can be seen by considering the antichain {3, 5, 6, 7, 10, 14, 15, 21, 22, 35}.

Therefore, the height and width of this poset are:
Height = 6
Width = 10

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Answer: 50%

Step-by-step explanation: There are 5 out of 10 employees at the water slide. 10 in this situation is going to be 100%

since there is only 5 out of 10 employees that are temporary

it would be 50%

Answer: 50%

Step-by-step explanation:

The equation that describes the plant's height is y = 3 + 0.5x .

The equation that describes the plant's height is a linear equation. A linear equation is an equation that has a single variable that is raised to the power of one.

The general form of a linear equation is:

y = mx + c

Where:

m = slope

c = intercept

Plant's height = starting height + (rate of growth x number of weeks)

y = 3 + (0.5 x x)

y = 3 + 0.5x

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The spinner  probability that the next spin will land either red or green or purple is found 0.70 as a decimal to the nearest hundredth.

Spinner Results

Color Frequency

Red 20

Blue 9

Green 19

Yellow 14

Purple 14

Total outcomes: 20 + 9 + 19 + 14 + 14

Total outcomes: 76

spinner probability = favorable outcome / total outcome

favorable outcome (red or green or purple) = 20 + 19 + 14 = 53

spinner probability = 53 / 76 = 0.69

spinner probability = 0.70

Thus, the probability that the next spin will land either red or green or purple is found 0.70 as a decimal to the nearest hundredth.

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Answer:

Area of a triangle =L*W

A= 45*15

A=270cm²

The value of c is 10.

The value of c is 10. To find this, use the limit definition of continuity. This states that for the function to be continuous at x = 4, we must have f(4) = lim f(x) x -> 4. Thus, we can equate f(4) and lim f(x) x -> 4 to get 1/4*4 + c = -4 + 6, giving c = 10.

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The vectors are linearly independent.

The vectors u = (2,1,0), v = (-4,3,1), and w=(0,-2,-5) are linearly dependent if there exists scalars c1, c2, and c3 such that c1u + c2v + c3w = 0. To determine if this is the case, we can form a matrix with the vectors as columns and find its determinant. If the determinant is 0, then the vectors are linearly dependent. If the determinant is not 0, then the vectors are linearly independent.

The matrix formed by the vectors is:
```
| 2 -4 0 |
| 1  3 -2|
| 0  1 -5|
```

The determinant of this matrix is:
```
2(3(-5) - (-2)(1)) - (-4)(1(-5) - (0)(-2)) + 0(1(1) - (0)(3))
= 2(-15 + 2) + 4(5) + 0
= 2(-13) + 20 + 0
= -26 + 20
= -6
```

Since the determinant is not 0, the vectors are linearly independent.

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Therefore, [tex]h = \sqrt{(12.25 - x^2)} = 3.73[/tex] feet represents the distance between the two staircases on the tree. Thus, option c is correct.

The Pythagorean theorem states that the square length of the hypotenuse, or the side that faces the right angle, of a right triangle is equal to the sum of the square lengths of the other two sides. The following can be expressed mathematically: [tex]a^2 + b^2 = c^2[/tex] where "c" represents the length of the hypotenuse and "a" and "b" represent the measurements of the two sides of the right triangle.

given

Assume the tree is h feet tall, the higher ladder is 3 feet long, and the lower ladder is x feet long.

Using the Pythagorean formula, we can create two equations:

With regard to the narrower staircase,  x² + h² = (3.5)

Use the formula for the higher ladder. (3x)²+ h²= (7.5)².

The formulas are as follows, simplified: 12.25 x² + 9.25 x² + 56.25

To remove h2, we can solve for x in the first equation and y in the second equation: 8x² = 44.

Finding the value of x is as follows:   [tex]x = \sqrt{(5.5) } = 2.34[/tex]

Therefore, [tex]h = \sqrt{(12.25 - x^2)} = 3.73[/tex]  feet represents the distance between the two staircases on the tree.

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Complete question:

Two ladders are placed at different locations on a coconut palm tree so that lights can be installed, as pictured below. The length of the taller ladder is three times the length of the shorter ladder. The shorter ladder is placed 3.5 feet from the base of the tree while the taller ladder is placed 7.5 feet from the base of the tree. What is the distance on the tree between the two ladders?

O 4.59 feet

O 9.78 feet

O 3.73 feet

O 8.96 feet

The answer is g(-2) = 15.

To find g(-2) using synthetic division, we need to follow these steps:

Write down the coefficients of the polynomial in descending order. The coefficients are 11, 29, 19, 22, and 39.

Write down the value of the divisor in the leftmost column. In this case, the divisor is -2.

Bring down the first coefficient (11) to the bottom row.

Multiply the bottom row value (11) by the divisor (-2) and write the result (-22) in the next column.

Add the coefficient in that column (29) to the result (-22) and write the sum (7) in the bottom row.

Repeat steps 4 and 5 until you reach the last column. The final result in the bottom row is the remainder.

The synthetic division should look like this:

-2 | 11  29  19  22  39
   | -22 -14 -10 -24
   -------------------
     11   7   9  12  15

Therefore, g(-2) = 15.

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Answer:

c landing on 1 is the answer

hope it helps u mark me BRAINLIST

The dimension of a vector space is equal to the number of linearly independent vectors in its basis.

In the given basis B = {(0,2,1),(0,2,1),(1,0,0)}, we can see that the first two vectors (0,2,1) and (0,2,1) are identical and therefore not linearly independent. Therefore, the dimension of the vector space is equal to the number of linearly independent vectors in the basis, which is 2.

So, the dimension of the vector space whose basis are B = {(0,2,1),(0,2,1),(1,0,0)} is equal to 2.

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Answer:

Step-by-step eEIKxplanation:

Step-by-step explanation:

21

We are only interested in the critical numbers on the interval [1,3], so we can disregard x = 0. Therefore, the critical numbers of the function f(x) on the interval [1,3] are x = 3.

The critical numbers of a function are the points where the derivative of the function is either zero or undefined. To find the critical numbers of the given function f(x) = x^2/(3-x), we need to first find its derivative:

f'(x) = (2x(3-x) - (-1)x^2)/ (3-x)^2 = (6x - x^2 - x^2)/ (3-x)^2 = (6x - 2x^2)/ (3-x)^2

Now, we need to find the values of x for which f'(x) = 0 or f'(x) is undefined. f'(x) is undefined when the denominator (3-x)^2 is equal to 0, which occurs when x = 3. f'(x) is equal to 0 when the numerator 6x - 2x^2 is equal to 0:

6x - 2x^2 = 0
2x(3 - x) = 0
x = 0 or x = 3

However, we are only interested in the critical numbers on the interval [1,3], so we can disregard x = 0. Therefore, the critical numbers of the function f(x) on the interval [1,3] are x = 3.

Answer: 3

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The area of the following circle is A ≈ 153.86 square units.

A circle is a two-dimensional geometric shape that consists of all the points in a plane that are equidistant from a fixed point called the center. The distance from the center to any point on the circle is called the radius, and the distance across the circle passing through the center is called the diameter.

The circumference of a circle is the distance around the edge of the circle, and it is calculated using the formula C = 2πr, where r is the radius and π (pi) is a mathematical constant approximately equal to 3.14159. The area of a circle is the region enclosed by the circle, and it is calculated using the formula A = πr².

The diameter of the circle is 14, so the radius is half of that, which is 7.

The area of the circle is given by the formula A = πr², where r is the radius. Substituting in the values we get:

A = π(7)²

A = 49π

Therefore, the area of the circle is 49π square units. If you want to use an approximation, you can use 3.14 as an estimate for π and get:

A ≈ 153.86 square units.

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The complete question is -

Table that represent input & output value  would be:

Input Output

44            45

45            46

46            47

To determine which table represents inputs and outputs that follow the same rule as 44+1, 44+2, and 44+3, we can simply evaluate each of the expressions and look for a pattern.

44 + 1 = 45

44 + 2 = 46

44 + 3 = 47

Therefore, the rule appears to be adding 1 to each subsequent number. We can check this by evaluating additional terms:

44 + 4 = 48

44 + 5 = 49

Based on this pattern, the correct table would be:

Input Output

44            45

45            46

46            47

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Note that the pair of numbers that solves the system of equations:

y=11x+40; and

y= -7x+9

are,  x = -31/18  ; and y = 379/18.

To solve the system of equations, we need to find the values of x and y that satisfy both equations simultaneously. One way to do this is to set the expressions for y equal to each other, since both expressions represent the same value of y.

So we have:

11x + 40 = -7x + 9

Simplifying and solving for x, we get:

18x = -31

x = -31/18

Now that we have found the value of x, we can substitute it into either equation to find the corresponding value of y. Let's use the first equation:

y = 11(-31/18) + 40

y = -341/18 + 720/18

y = 379/18

Therefore, the pair of numbers that solves the system of equations is (-31/18, 379/18).

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An expression that looks like Sarah's expression but is not equivalent is:

10(5j + j + 3).

A sentence qualifies as a mathematical expression if it comprises one or more mathematical operations, at least two numbers, or variables. Let's examine the writing style of expressions. A number is 6 times larger than the other number, x, by a factor of 2. This statement is represented mathematically by the expression x/2 + 6. Using mathematical expressions, complex puzzles can be solved.

now in the question,

We can write a look alike expression which is not equivalent is:

10(5j + j + 3).

Now translating the new expression into verbal:

Sarah gets paid $10 for every shark tooth she finds. After finding 3, she asked Jhon for help. When Jhon finds a tooth, by that time Sarah finds 5 of them.

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To find f(x)-g(x), we need to subtract the two given functions.

f(x) = x^(2)-6x-40

g(x) = x+4

f(x)-g(x) = (x^(2)-6x-40) - (x+4)

Next, we need to distribute the negative sign to the terms inside the parentheses:

f(x)-g(x) = x^(2)-6x-40 - x - 4

Then, we can combine like terms: f(x)-g(x) = x^(2)-7x-44

Therefore, the result of f(x)-g(x) is a polynomial in simplest form: x^(2)-7x-44.

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Answer:

Year 1 Depreciation:$2,000

Depreciation Percentage:20.00%

Total Depreciation:$10,000

Final Year Depreciation:$2,000

Step-by-step explanation:

P.S by teacher told me the answer

The fourth proportion to 15/7,23/14, and 33/5 is 19.25.

To discover the fourth proportion, we require to set up a probability between the 3 presented figures and the fourth unknown variety, which we can name x.

23/1433/5 x

First, we need to transfigure all the mixed figures to unsuitable fragments

= (7/7 * 1)5/7 = 7/75/7 = 12/7

= (14/14 * 2)3/14 = 28/143/14 = 31/14

= (5/5 * 3)3/5 = 15/53/5 = 18/5

Now we're suitable to preference those values into the share

31/1418/5 x

To break for x, we're suitable to cross-multiply

12/7) * x = (31/14) *(18/5)

Simplifying

12x/ 7 = 279/14

Multiplying each aspects via7/12

x = (279/14) *(7/12)

x = 19.25

Thus, the fourth proportion to 15/7,23/14, and 33/5 is 19.25.

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The coordinates of A' and B' after a dilation with a scale factor of 2 with a center point of dilation at the origin is: OA (-8, 2) and B (-2, 6)

To find the coordinates of A' and B' after a dilation with a scale factor of 2 with a center point of dilation at the origin, we can use the following formula:

A' = k * (A - O) + O

B' = k * (B - O) + O

where k is the scale factor, O is the center point of dilation, and A and B are the original points.

In this case, k = 2 and O = (0, 0). So we have:

A' = 2 * (-4, 1 - (0, 0)) + (0, 0) = (-8, 2)

B' = 2 * (-1, 3 - (0, 0)) + (0, 0) = (-2, 6)

Therefore, the coordinates of A' and B' after the dilation are (-8, 2) and (-2, 6), respectively.

So, the answer is option (A) OA (-8, 2) and B (-2, 6).

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The given equation y = (1/2)x -2 represents a linear function because it has an independent and a dependent variable, each with an exponent of 1.

A linear function is defined as an equation in which the highest exponent of the variable is always one.

To determine the equation "y equals one-half times x minus 2" represents a linear or nonlinear function.

The algebraic form of this phrase "y equals one-half times x minus 2" is :

y = (1/2)x -2

Since it has an independent "x" and a dependent variable "y" with an exponent of one, the above equation y = (1/2)x -2 defines a linear function.

Therefore, the correct answer would be an option (C).

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Answer:

81.55

Step-by-step explanation:

because 4 twentydollar bills = 80 dollars 1 five-dollar bill = 5.00

80 + 5 = 85 dollars 2 quarts = 50 cents and 1 dime equals 10 cent 50 + 10 = 60 together you have 85.60 when you subtract 4.05 minus 85.60 you get 81.50 cent

5. 20% of students said that they enjoy Cookie Cake.

6. 25 students answered a survey regarding their favorite cake.

The percentage is defined as a ratio expressed as a fraction of 100.

The % formula is used to calculate a percentage of a whole in terms of 100.

Percentage = (Value/Total Value) × 100

Percentage of students said they like Cookie Cake:

5/(5 + 6 + 8 + 6) × 100%

5/25 × 100%

20%

The total number of students who answered this survey about their favorite Cake:

5 + 6 + 8 + 6

25

Thus, 25 students answered a survey regarding their favorite cake.

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The value of the expression (1×1,000)+(3×100)+(5×10)+(9×1/10)+(8 x 1/100) is 1,350.98.

To find the value of the expression (1×1,000)+(3×100)+(5×10)+(9×1/10)+(8 x 1/100), we need to simplify and perform the arithmetic operations.

Multiplying each term in the expression, we get:

1 × 1,000 = 1,000

3 × 100 = 300

5 × 10 = 50

9 × 1/10 = 0.9

8 × 1/100 = 0.08

Adding up all the terms, we get:

1,000 + 300 + 50 + 0.9 + 0.08 = 1,350.98

In summary, to find the value of the expression, we multiply each term by its respective coefficient, then add up all the terms. In this case, the result is 1,350.98.

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Complete question is:

Find the value of the expression (1×1,000)+(3×100)+(5×10)+(9×1/10)+(8 x 1/100)?