Please help me solve this question about transformation of graphs

The point (9, -7) is the only solution to the system of linear inequalities given.

To determine which point would be a solution to the system of linear inequalities, let's substitute the given points into the inequalities and see which point satisfies both inequalities.

The system of linear inequalities is:

y > -4x + 6

y > (1/3)x - 7

Let's test each given point:

For the point (9, -7):

Substituting the values into the inequalities:

-7 > -4(9) + 6

-7 > -36 + 6

-7 > -30 (True)

-7 > (1/3)(9) - 7

-7 > 3 - 7

-7 > -4 (True)

Since both inequalities are true for the point (9, -7), it is a solution to the system of linear inequalities.

For the point (-12, -2):

Substituting the values into the inequalities:

-2 > -4(-12) + 6

-2 > 48 + 6

-2 > 54 (False)

-2 > (1/3)(-12) - 7

-2 > -4 - 7

-2 > -11 (False)

Since both inequalities are false for the point (-12, -2), it is not a solution to the system of linear inequalities.

For the point (12, 1):

Substituting the values into the inequalities:

1 > -4(12) + 6

1 > -48 + 6

1 > -42 (True)

1 > (1/3)(12) - 7

1 > 4 - 7

1 > -3 (True)

Since both inequalities are true for the point (12, 1), it is a solution to the system of linear inequalities.

For the point (-12, -7):

Substituting the values into the inequalities:

-7 > -4(-12) + 6

-7 > 48 + 6

-7 > 54 (False)

-7 > (1/3)(-12) - 7

-7 > -4 - 7

-7 > -11 (True)

Since one inequality is true and the other is false for the point (-12, -7), it is not a solution to the system of linear inequalities.

In conclusion, the point (9, -7) is the only solution to the system of linear inequalities given.

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The number which the iterates approach if you use the cos button 20 or 30 times starting with is;

a) For x = 1;  0.7390851332

(b) For x = 2, the iterates = -0.7390851332.

(c) For x = 10, the iterates = 0.7390851332

From the information given, we have that;

The cosine function is expressed as;

f(x) = cos(x),

Range is between -1 and 1.

In using the cos button  repeatedly, the iterates approach a fixed point called a cycle or attractor.

Then, we have;

(a) For x = 1, if the cos button is pressed 20 times, the iterates will approach = 0.7390851332

(b) For x = 2, the iterates will approach approximately -0.7390851332.

(c) For x = 10, the iterates will approach approximately 0.7390851332

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The contour map of the given function illustrates the function varies across the xy-plane, with regions of higher and lower values of f(x, y) indicated by the spacing and arrangement of the level curves.

To draw a contour map of the function f(x, y) = y/(x^2 + y^2) - 4, we need to plot several level curves.

Level curves are curves in the xy-plane that represent points where the function f(x, y) takes a constant value.

To find the level curves, we set f(x, y) equal to different constant values and solve for y in terms of x.

Let's choose some constant values for f(x, y) and find the corresponding level curves:

When f(x, y) = 0:

Setting y/(\(x^2 + y^2\)) - 4 = 0, we have y = 4(\(x^2 + y^2\)).

This equation represents a circle centered at the origin with radius 4.

When f(x, y) = -2:

Setting y/(\(x^2 + y^2\)) - 4 = -2, we have y = 2(\(x^2 + y^2\)). This equation represents a circle centered at the origin with radius 2.

When f(x, y) = 2:

Setting y/(\(x^2 + y^2\)) - 4 = 2, we have y = 6(\(x^2 + y^2\)). This equation represents a circle centered at the origin with radius 6.

By plotting these level curves on the xy-plane, we can create a contour map that shows the behavior of the function f(x, y).

The circles centered at the origin with radii 2, 4, and 6 represent the level curves corresponding to f(x, y) = -2, 0, and 2, respectively.

The contour map will illustrate how the function varies across the xy-plane, with regions of higher and lower values of f(x, y) indicated by the spacing and arrangement of the level curves.

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The transformation that maps the pre-image to the image is given as follows:

Dilation.

The four types of transformation listed in this problem cause these following changes:

From the image, we get that the side lengths were doubled, while the angle measures remained constant, meaning that the transformation is a dilation and the first option is the correct option.

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Answer:

dilation

Step-by-step explanation:

took the test

Answer:

5

Step-by-step explanation:

Answer:

$40

Step-by-step explanation:

Ramon has $80 saved

half of it came from mowing yard

therefore 80/2 = 40

the rest from raking leaves

80-40=40

Answer:

opción D

Step-by-step explanation:

El número más bajo es -2

Número mayor que -2 es -1

Número mayor que -1 es 0

Número mayor que 0 es 4

Entonces, el orden de mayor a menor es 4> 0> -1> -2

Por tanto, la opción D es correcta

Answer:

6x2+3y2=12,x+y=2,2x-y=-1x+y=4,x-y=2

Step-by-step explanation:

I just know.

Answer:

Step-by-step explanation:

5x – 4y = -10

y = 2 x – 5

Rearrage the equation:

5x – 4y = -10 (1)

-2 x +y =  5.  (2)

pluging variable y equation2 in 1

5x - 4•(2x-5) = -10

 -3x = -30

Solve equation [1] for the variable  x  

3x = 30

x = 10

x = 10

y = 2x-5

Use the  x  value to solve for  y  

y = 2(10)-5 = 15

x= 10

y= 15

Answer:

I think A is the right answer

Answer its c hope this helps

9514 1404 393

Answer:

  p = 3x+10

Step-by-step explanation:

The attached diagram pretty much explains it.

The unknown dimension at the top was the subject of a previous problem. It is the difference in length between the two marked horizontal segments:

  (2x +15) -(x) = x +15 . . . . . length of unmarked solid horizontal line

Similarly, the length of the unmarked vertical line on the right is the difference between the marked vertical lines:

  (2x -5) -(x -5) = x . . . . . length of unmarked solid vertical line

__

The formula for the area of a rectangle is used to find the areas of the left-side and right-side rectangles. Respectively, those areas are ...

  left-side area = x(2x -5)

  right-side area = x(x +15)

Then the total area enclosed by the solid line is ...

  x(2x -5) +x(x +15) = x(2x -5 +x +15) = x(3x +10)

__

The area of the lot extension is the product of its dimensions:

  extension area = x·p

We want this to be the same as the area in the solid line, so ...

  x·p = x·(3x +10)

Dividing by the coefficient of p (which is x), we have ...

  p = 3x +10

Answer:

\(2c^{2}\)

Step-by-step explanation:

\(\frac{8c^33d^2}{4cd^2}\)

\(\frac{2c^2d^0}{1}\)

Answer:

\(2 {c}^{2} \)

Step-by-step explanation:

\( \frac{8 {c}^{3} {d}^{2} }{4 {c}^{1} {d}^{2} } \\ = 2 {c}^{3 - 1} {d}^{2 - 2} \\ = 2 {c}^{2} {d}^{0} \)

we know that,

\( {d}^{0} = 1\)

so,

\( = 2 {c}^{2} {d}^{0} \\ = 2 \times {c}^{2} \times 1 \\ = 2 {c}^{2} \)

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

Graph #1

Step-by-step explanation:

In this distance v time graph, a negative slope means moving toward Mr. Wilson, a positive slope means moving away from Mr. Wilson, and a flat section means staying at a particular location without moving.

Ms. Howard's salary would be $360. Below, you will learn how to solve the problem.

Ms. Howard's salary can be found by first calculating the amount of money spent on groceries, entertainment, and transportation. 1/3 of her monthly salary was spent on groceries, so that would be $(1/3)x where x is her salary, 1/4 of her monthly salary was spent on entertainment, so that would be $(1/4)x. 2/5 of the remaining amount was spent on transportation, which is $(2/5)(x-(1/3)x-(1/4)x).

Ms. Howard then had $270 left, so we can set up the equation:

$(1/3)x + $(1/4)x + $(2/5)(x-(1/3)x-(1/4)x) = 270

Solving for x, Ms. Howard's salary would be $360.

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Answer:

43

Step-by-step explanation:

The distance between ben and the dolphin is 43 hope this helped

Answer:

X-61=100

X=100-61

X=39%

Step-by-step explanation:

Answer:

Let $x$ be the number of gallons of the 40% antifreeze and $y$ be the number of gallons of the 90% antifreeze. We know that the total amount of antifreeze is 140 gallons, so $x+y=140$. We also know that the final mixture should have 75% pure antifreeze, so the amount of pure antifreeze in the mixture is 0.75(140) = 105 gallons. We can set up a system of equations to solve for $x$ and $y$:

$$0.4x + 0.9y = 105$$

$$x+y = 140$$

Solving the system of equations, we get $x=60$ and $y=80$. Therefore, the chemical company must use 60 gallons of the 40% antifreeze and 80 gallons of the 90% antifreeze.

Here is a step-by-step solution:

1. Let $x$ be the number of gallons of the 40% antifreeze and $y$ be the number of gallons of the 90% antifreeze.

2. Set up a system of equations to represent the given information:

$$x+y = 140$$

$$0.4x + 0.9y = 105$$

3. Solve the system of equations:

$$x = 60$$

$$y = 80$$

4. Therefore, the chemical company must use 60 gallons of the 40% antifreeze and 80 gallons of the 90% antifreeze.

Step-by-step explanation:

A "required parameter" requires an assigned value for the argument used to call the method, while "optional parameters" do not need to be included in the method call and have a default value assigned to them.

The type of parameter that requires that the argument used to call the method must have an assigned value is a "required parameter".

Required parameters are parameters that must be included in the method call, and the argument passed for the required parameter must have a value assigned to it. If a required parameter is not included in the method call, or if the argument passed for the required parameter does not have a value assigned to it, an error will be thrown.

In contrast, there are also optional parameters, which are parameters that do not need to be included in the method call. If an optional parameter is not included in the method call, the method will use a default value assigned to the parameter.

In many programming languages, the syntax for specifying required and optional parameters in a method or function call is specified using different symbols, such as parentheses or square brackets.

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Answer:

Answer: c

Step-by-step explanation:

A. ❎

\(16 +( 4 \times {5}^{2} ) \\ = 16 + 100 \\ = 116\)

B. ❎

\(16 +( 4 \times {5}^{2} ) \\ = 16 \times 100\\ = 116\)

C. ✔

\(16 + (4 \times {5}^{2} ) \\ = 16 \times 100\\ = 116\)

D. ❎

\(16 + (4 \times {5}^{2} ) \\ = 16 + (4 \times 25) \\ = 16 + 100 \\ = 116\)

The decimal division of 18.92 by 11 gives us; 1.72

When dividing decimals,  we first have to convert the divisor to a whole number by moving the decimal point to the right. Thereafter, we now carry the dividend's decimal point up to the exact same number of places to the right and then divide the resultant numbers in the normal way, like in regular long division.

We want to divide 18.92 by 11. Thus, let us apply that rule described above to get;

18.92/11 = 1892/1100

= 1 + (1892 - 1100)/1100

= 1 + (792/1100)

= 1 + 0.72

= 1.72

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Answer: 274896781636

Step-by-step explanation:

Brainliest pls:)

Answer:

524612 is the actual answer

Step-by-step explanation:

Answer:

a17=3

Step-by-step explanation:

an=a1+(n−1)d  geometric sequence formula

-2=a1+(18-1)(-5)

-2=a1+17(-5)

-2=a1-85

a1=83

a17=83+(17-1)(-5)

a17=83+16(-5)

a17=83-80

a17=3

Hope this helps! Please mark brainliest :)

Max did not factor the expression V(x) = x²+6x+8 correctly

from the question, we have the following parameters that can be used in our computation:

V(x) = x²+6x+8

Expand the equation

So, we have

V(x) = x²+4x + 2x +8

When the equation is factored, we have

V(x) = (x + 4)(x + 2)

This means that Max did not factor the expression correctly

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The mean of the data is 41.7, the median is 41.9 and the mode of the data is 42.9.

Here,

We have,

In mathematics, the three main methods for indicating the average value of a set of integers are mean, median, and mode. Adding the numbers together and dividing the result by the total number of numbers in the list yields the arithmetic mean. An average is most frequently used to refer to this. The middle value in a list that is arranged from smallest to greatest is called the median. The value that appears the most frequently on the list is the mode.

The mean is given as:

mean = summation of the frequency / total frequency

mean = 3708/89 = 41.66

The median of the given data is the central value.

In the given data median is the mean of the ages between 56 and 57.

Median = 45 + (89/2) - 59 / 23  * (5)

Median = 41.9

The mode is given for the data having the highest frquency.

The highest frequency is observed at 40-----44:

Mode = 40 + (28 - 21) / (56 - 21 - 23) (5)

Mode = 42.9

Hence, the mean of the data is 41.7, the median is 41.9 and the mode of the data is 42.9.

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The solutions are decreasing when y is in the set (1,3).

(A) Equilibrium solutions, also known as constant solutions, fulfill dy/dx=0.

When the right-hand side of the equation is taken into account, we have

dy/dx equals y2(y-1) (y-3). We get the constant solutions y=0, y=1, and y=3 by setting the right side to zero.

(b) Solutions rise when dy/dx exceeds 0. For the set of y values (-,0) (0,1) (3,) see that dy/dx > 0. Therefore, when y in is the set (-,0) (0,1) (3,), solutions are growing.

(c) When dy/dx 0, solutions are decreasing, and dy/dx 0 when 1 y 3. That is, while y is in the set, solutions are decreasing (1,3).

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Answer: Manny is making 3/2 batches, which is equivalent to 1.5, it's more than one. So, Manny is making more than 1 batch. According to the problem, 2 cups of flour in a batch, if he's making 1.5 batch, he would need 3 cups of flour, which is more than 2 cups of flour.

Step-by-step explanation:

The equation is given, N(a) = 2.925 sin ( 3.65 ) + 12.18, which models the number of hours of daylight in New York City d days after March 21, 2010.

To solve the equation 11.5 = 2.925 sin (27 d) + 12.18 over the interval [0°, 720°), we need to isolate the sine function on one side of the equation.

Subtracting 12.18 from both sides, we get:
-0.68 = 2.925 sin (27 d)
Dividing both sides by 2.925, we get:
sin (27 d) = -0.2333
To find d, we need to use the inverse sine function (\(sin^{-1}\)) on both sides:
27 d = \(sin^{-1}\) (-0.2333)
Using a calculator, we find that \(sin^{-1}\) (-0.2333) = -13.5° or -0.235 radians (rounded to three decimal places).
Dividing both sides by 27, we get:
d = -0.0087 radians / 27
d = -0.00032 radians (rounded to five decimal places)
To make sense of this answer in the context of the problem, we need to convert radians to days.
One complete cycle of the sine function occurs over 360 degrees or 2π radians. Therefore, over the interval [0°, 720°), there are two complete cycles or 4π radians.
To find the number of days, we can set up a proportion:
4π radians = 365 days - 80 days (March 21 to June 9)
Solving for one radian, we get:
1 radian = (365 - 80) days / 4π
1 radian ≈ 71.3 days
Substituting this value, we get:
d = -0.00032 radians x 71.3 days/radian
d ≈ -0.023 days

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The 14.9% increase in Sylvia's lead lathe tech's hourly wage of $18.50 results in a $2.75 per hour increase. Assuming the lead lathe tech works 2,080 hours per year, the additional cost to Sylvia's annual wages budget would be approximately $5,720, excluding benefits or taxes.

First, we need to find the percentage increase in the lead lathe tech's hourly wage. The increase requested is $2.75, which is 14.9% of the current wage rate ($18.50). To calculate the percentage increase, we divide the increase by the current wage rate and multiply by 100: ($2.75 / $18.50) * 100 ≈ 14.9%.

To determine the additional cost to Sylvia's annual wages budget, we need to know the total number of hours worked by the lead lathe tech in a year. Let's assume the lead lathe tech works 40 hours per week and there are 52 weeks in a year, resulting in a total of 2,080 hours.

To calculate the annual cost of the wage increase, we multiply the hourly increase ($2.75) by the total number of hours worked (2,080): $2.75 * 2,080 ≈ $5,720.

Therefore, the 14.9% increase in the lead lathe tech's hourly wage will cost Sylvia an additional $5,720 in her annual wages budget, excluding benefits or taxes.

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Based on the provided information, the two pools have the same amount of water after 30 minutes. After 30 minutes, each pool will have 1372.5 Liters of water.

To solve this problem, we can use the equation:

915 + 15.25m = 45.75m

Where m is the number of minutes that have passed. We can rearrange this equation to solve for m:

30.5m = 915

m = 30 minutes

So, after 30 minutes, the two pools will have the same amount of water. To find out how much water will be in each pool, we can plug 30 back into the equation:

915 + 15.25(30) = 45.75(30)

915 + 457.5 = 1372.5

1372.5 Liters = 1372.5 Liters

So, after 30 minutes, each pool will have 1372.5 Liters of water.

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