Find the image for the pre image G after the translation
(x + 2, y + 5)

O (-1,4)
O (1,4)
O (4,-1)
O (-1,-4)

The function g(x) is g(x)= (1/3x)^2

The complete question is in the image

From the graph in the image, we have:

f(x) = x^2

The function f(x) is stretched by a factor of 1/3 to form g(x).

This means that:

g(x) = f(1/3x)

So, we have:

g(x)= (1/3x)^2

Hence, the function g(x) is g(x)= (1/3x)^2

Read more about function transformation at:

https://brainly.com/question/10222182

#SPJ1

The ratio of the volume of water in Jug B to the volume of water in Jug C is 35:18.

Let's assume the volume of water in Jug B is x.

According to the given information, Jug A contains 6/7 as much water as Jug B. Therefore, the volume of water in Jug A can be calculated as (6/7) * x.

Similarly, Jug C contains 3/5 as much water as Jug A. Hence, the volume of water in Jug C can be expressed as (3/5) * [(6/7) * x].

To find the ratio of the volume of water in Jug B to the volume of water in Jug C, we divide the volume of water in Jug B by the volume of water in Jug C:

(x) / [(3/5) * (6/7) * x]

Simplifying the expression, we get:

x / (18/35 * x)

The x values cancel out, leaving us with:

1 / (18/35)

To simplify further, we multiply the numerator and denominator by the reciprocal of the denominator:

1 * (35/18)

The final ratio is:

35/18

For more such questions on ratio

https://brainly.com/question/30370621

#SPJ8

To show that the point (å, ä) is on the perpendicular bisector of the line segment with endpoints (Ů, ü) and (ĝ, ġ), we need to demonstrate two things: that the point lies on the line segment, and that it is equidistant from the endpoints.

1. Determine the midpoint of the line segment:

  - The midpoint coordinates (\(x_{mid, y_{mid\)) can be found using the midpoint formula:

    \(x_{mid\) = (x1 + x2) / 2 and \(y_mid\) = (y1 + y2) / 2, where (x1, y1) and (x2, y2) are the coordinates of the endpoints.

    In this case, we have (x1, y1) = (Ů, ü) and (x2, y2) = (ĝ, ġ).

2. Calculate the midpoint coordinates:

  - Substitute the values into the midpoint formula to find (x_mid, y_mid).

3. Find the slope of the line segment:

  - Use the slope formula: slope = (y2 - y1) / (x2 - x1).

    Apply the formula to the endpoints (Ů, ü) and (ĝ, ġ) to determine the slope of the line segment.

4. Determine the negative reciprocal of the line segment's slope:

  - Take the negative reciprocal of the slope calculated in the previous step. The negative reciprocal of a slope m is -1/m.

5. Write the equation of the perpendicular bisector:

  - Using the negative reciprocal slope and the midpoint coordinates (\(x_{mid\), \(y_{mid\)), write the equation of the perpendicular bisector in point-slope form: y - \(y_{mid\) = \(m_{perp\) * (x - \(x_{mid\)), where \(m_{perp\) is the negative reciprocal slope.

6. Substitute the point (å, ä) into the equation:

  - Replace x and y in the equation of the perpendicular bisector with the coordinates of the point (å, ä). Simplify the equation.

7. Verify that the equation holds true:

  - If the equation is satisfied when substituting (å, ä), then the point lies on the perpendicular bisector.

By following these steps, you can demonstrate that the point (å, ä) lies on the perpendicular bisector of the line segment with endpoints (Ů, ü) and (ĝ, ġ).

For more such questions on line segment, click on:

https://brainly.com/question/280216

#SPJ8

The answer to the equation −0.22x + x − 0.33x is 0.11x.

The answer is 0.11x. To solve this, we can start by rearranging the terms of the equation. The equation can be written as:

−0.22x + x − 0.33x = −0.22 + 0.33x

We then subtract x from both sides of the equation, resulting in:

−0.22x − x = −0.22 + 0.33x − x

We then combine like terms on the left side of the equation, resulting in:

−1.22x = −0.55

Finally, we divide both sides of the equation by -1.22 to solve for x, resulting in:

x = 0.11

Therefore, the answer is 0.11x.

Learn more about equation here:

https://brainly.com/question/10413253

#SPJ1

Complete question

What is the value of -0.22+−0.33−0.22x+x−0.33x?

The impact on Carns Company's income from eliminating the Small Tools Division would be a decrease of $1,209,000.

To determine the impact on Carns Company's income from eliminating the Small Tools Division, we need to consider the avoidable costs associated with the division.

The avoidable costs include all of the variable costs of the division and a portion of the fixed costs that are specifically related to the Small Tools Division. In this case, the variable costs of the division are $1,295,000, and $119,000 of the fixed costs are avoidable.

To calculate the impact on income, we subtract the avoidable costs from the loss reported by the division:

Impact on income = Loss - Avoidable costs

Impact on income = $205,000 - ($1,295,000 + $119,000)

Impact on income = $205,000 - $1,414,000

Impact on income = -$1,209,000

The negative sign indicates a decrease in income.

For more such questions on income

https://brainly.com/question/28414951

#SPJ8

Answer:

\(x = 24\)

24 is less than 35

Step-by-step explanation:

Given

Jacob: 2000x + 3000

Carlos: 3800x - 40000

Solving (a):

To solve (a), we need to equate both expressions;

\(3800x - 40000 = 2000x + 3000\)

Collect Like Terms

\(3800x - 2000x = 40000 + 3000\)

\(1800x = 43000\)

Solve for x

\(x = 43000/1800\)

\(x = 24\) --- Approximated

Solving (b);

The manager's prediction is 35 hours.

And the actual hours is 24.

By comparison;

24 is less than 35

So,

If the ratio of cats to dogs in the room is 2:3, that means that there are 2 cats per each 3 dogs.

Notice the following sequence:

Initial:

Cats: 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34

Dogs: 3 6 9 12 15 18 21 24 27 30 33

After 5 more cats, the ratio is:

Cats: 0 9 18 27 36

Dogs: 0 11 22 33 44

We look for the situation where the number of dogs is the same and there are 5 more cats.

Therefore, there were 22 cats and 33 dogs at the beginning.

Answer

(4x-5) = -20 (2x+8) = 2

Step-by-step explanation:

2 x − 8 = 2 2x-8=2 2x−8=2. Add 8 to both sides. Simplify 2 + 8 2+8 2+8 to 10. Divide both sides by 2. If its wrong then I’m very sorry but I’m sure this is correct.

Answer:

\(\dfrac{6}{10}ab\)

Step-by-step explanation:

Given that,

The first number is \(\dfrac{-3a}{7}\)

The second number is \(\dfrac{-21b}{15}\)

We need to find the product of the first number and second number. Product means we need to multiply i.e.

\(\dfrac{-3a}{7}\times \dfrac{-21b}{15}=0.6ab\\\\=\dfrac{6}{10}ab\)

Hence, the product of the given numbers is equal to \(\dfrac{6}{10}ab\).

Answer:

You'll be blacklisted. For instance, if you're applying for a job via a recruitment agency, they'll probably blacklist you going forward. You see, your actions could reflect badly on the recruiter since they've shown faith in you and decided to represent you in front of their client.

The rate of change of positive at the increasing interval and it is negative at the decreasing interval

The graph has two x-intercepts at x = 1.5 and x = 8.

So, the equation can be represented as:

y = a(x - 1.5)(x - 8)

The graph passes through the point (0, -1.2).

So, we have:

a(0 - 1.5)(0 - 8) = -1.2

Solve for a

a= -0.1

Substitute a= -0.1 in y = a(x - 1.5)(x - 8)

y = -0.1(x - 1.5)(x - 8)

Hence, the equation of the parabola is y = -0.1(x - 1.5)(x - 8)

This is the maximum value of the graph.

The graph has its maximum at (4.75,1.056)

Hence, the highest slide is 1.056

From the given graph, the tide increases from (0,-1.2) to (4.75,1.056)

The average rate of change is;

\(m = \frac{y_2 - y_1}{x_2 -x_1}\)

So, we have:

\(m = \frac{1.056 + 1.2}{4.75 -0}\)

Evaluate

m = 0.475

Hence, the average rate of change when the tide is increasing is 0.475

From the given graph, the tide increases from (4.75,1.056) to (8,0)

The average rate of change is;

\(m = \frac{y_2 - y_1}{x_2 -x_1}\)

So, we have:

\(m = \frac{1.056 -0}{4.75 -8}\)

Evaluate

m = -0.325

Hence, the average rate of change when the tide is decreasing is -0.325

When the tide increases, the rate of change of positive (i.e. 0.475) and it is negative when the tide is decreasing

Read more about rates of change at:

https://brainly.com/question/8728504

#SPJ1

Answer:

Ela segue esse modelo

f(x) = ax + b

Então, é só substituir os valores de x e de y na Lei de Formação

Ex: quando x=0, y=-1

y= ax+b

-1=a.0+b

b= -1

È onde a reta toca o eixo y, porque x=0

Agora, vamos usar outro par ordenado.

Quando x=2, y=3

3=a.2+(-1)

3=2a-1

3+1=2a

4=2a

a=4/2

a=2

A lei de formação é essa

a= 2; b=-1

f(x)= ax+b

f(x)=2x-1

Answer:

a-25

b-243

5^3 = 125/3 = 25

3^6 = 729/3 = 243

a) Using the standard divisors according to Jefferson's apportionment method, the number of salespeople assigned to work each shift is as follows:

Shift                              Morning     Midday     Afternoon     Evening   Total

Number of

salespeople assigned  1               3                  5                 7                16

b) The modified or adjusted divisor used represents the average number of customers for each shift divided by the standard divisor.

The standard divisor shows the ratio of the total population to the number of seats.

The standard divisor gives an insight about the number of people each seat represents.

Standard divisor = Total number of customers / Total number of salespeople

The total number of customers = 1,425

The number of salespeople = 16

a) Standard divisor = 1,425 ÷ 16

= 89.0625

Shift                              Morning     Midday     Afternoon     Evening   Total

Average number of

customers                     125            280             460             560       1,425

Standard divisor      89.0625     89.0625      89.0625      89.0625

b) Modified divisor     1.4035        3.1438          5.165           6.288

Number of

salespeople assigned  1               3                  5                 7                16

Learn more about the Jefferson apportionment method at https://brainly.com/question/27954075.

#SPJ1

The random error term accounts for all sources of variance not included in the regression model, such as omitted influences on y or approximation errors in the calculation of the least squares estimates. Measurement errors in the observed variables are not considered.

The regression model includes a random error term to account for all sources of variance that are not included in the model. This includes omitted influences on the dependent variable, y, that could affect the outcome, or approximation errors in the calculation of the least squares estimates. The random error term also allows for the fact that the linear functional form of the model is only an approximation of the true relationship between the independent and dependent variables. Measurement errors in the observed variables, however, are not considered by the error term. Instead, these errors can be accounted for by increasing the sample size and improving the accuracy of the measurements. Additionally, the inclusion of the error term allows researchers to assess the contribution of the explanatory variables to the variation in the dependent variable and to assess the overall fit of the model.

Learn more about variables  here

https://brainly.com/question/29696241

#SPJ4

Answer: range: 49-22=27

median: 40+41=81 81/2=40.5

mean: add up all the numbers=485 485/12=40.4

mode: 39, 40 and 46

Answer:

simple 49-22=27

mode 39, 40 and 46

Step-by-step explanation:

Answer:

1.)  5/1

2.) -7/8

3.) -4/2

Step-by-step explanation:

The formula of slope m= \(\frac{rise}{run}\)

1.) rise=5 run=1

2.) rise=7 run=-8

3.) rise=4 run=-2

The solution of the given problem of equation comes out to be total cost for 942 minutes is $1044.

The similar symbol (=) is used in arithmetic equations to signify equality between two statements. It is shown that it is possible to compare various numerical factors by applying mathematical algorithms, which have served as expressions of reality. For instance, the equal sign divides the number 12 or even the solution y + 6 = 12 into two separate variables many characters are on either side of this symbol can be calculated. Conflicting meanings for symbols are quite prevalent.

Part A:

Given:

To find an equation,

Where x is number of monthly minutes.

and y is total monthly of splint plan.

So, equation is:

\(\rightarrow \text{y} =\text{mx} +\text{b}\)

For the first case:

\(\rightarrow\bold{173 = 380x + b}\)

Second case:

\(\rightarrow\bold{249= 570x + b}\)

Solve for x:

\(\rightarrow{173 - 380\text{x}=249- 570\text{x}\)

\(\rightarrow{-207=-321\)

\(\rightarrow \text{x} =\dfrac{321}{207}\)

\(\rightarrow \text{x} =\dfrac{107}{69}\)

\(\rightarrow \text{x} \thickapprox1.55\)

For value of b

\(\rightarrow 173 = 380(1.55) + \text{b}\)

\(\rightarrow 173 - 589 = \text{b}\)

\(\rightarrow -416 = \text{b}\)

Part B:

\(\rightarrow \text{y} = 942(1.55) - 416\)

\(\rightarrow \text{y} = 1460.1 - 416\)

\(\rightarrow \text{y} \thickapprox1044\)

Therefore, the solution of the given problem of equation comes out to be total cost for 942 minutes is $1044.

To know more about the equation, visit:

https://brainly.com/question/29657983

Input as follows:

1) 7/3

2) 1/3

3) 2 1/2

Answer:

W

Step-by-step explanation:

A function must have the same output for every input, so if a table were to have -2 twice it must have the same output for that (like -2,3 and then again -2,3 if it were to repeat) I'm not the best explainer but for each input there must be exactly one output.

Answer:

But it's your work so you shouldn't be the one complaining. You are depending on us.

Btw, the answer is deleted.

Answer:

the answer is lemme cop these 5 points real quick

Answer:

A. 3:2

B. Yes

C. 75%

Step-by-step explanation:

A. Let's say Tracy had 10 problems on her test. This means she spelled 6 correctly and 4 incorrectly. Therefore the ratio is

6:4 which can be simplified into 3:2

B. Since Luis spelled less words incorrect, he did better than Tracy.

C. First we add 3 and 1 to get the amount of questions...

3+1=4

Then we find the percentage

3:4=3/4=75%

2k + s - 2

I don't understand the question

Answer:

2k+s-2

Step-by-step explanation:

twice means 2 and k is just a number but as a letter. plus the quantity s is just s as a number, then minus 2 is

=2k+s-2

The Fraction of empty space in the container is 5/12. This means that 5/12 of the container is not filled with water or oil, and is instead empty.

The container is made up of two substances: water and oil. We know that the container has 1/4 water and 1/3 oil. This means that the remaining space in the container is made up of neither water nor oil, i.e., empty space.

To find the fraction of empty space, we need to add the fractions of water and oil together and subtract them from 1. This is because the sum of the fractions of water, oil, and empty space must equal 1, which represents the total volume of the container.

The fraction of water in the container is 1/4, and the fraction of oil is 1/3. Therefore, the fraction of the container that is not empty is:

1/4 + 1/3 = 3/12 + 4/12 = 7/12

To find the fraction of empty space, we subtract this fraction from 1:1 - 7/12 = 5/12

Therefore, the fraction of empty space in the container is 5/12. This means that 5/12 of the container is not filled with water or oil, and is instead empty.

To know more about Fraction .

https://brainly.com/question/30154928

#SPJ11

The ordered pair that solves the system of equation is (0, 0).

To solve this system, we can substitute the first equation into the second equation to eliminate y:

x = 2x

Solving for x, we get x = 0.

Substituting x = 0 into the first equation, we get y = 0.

Therefore, the ordered pair that solves the system is (0, 0).

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ1

The answer is D: conjecture

The key words in the description are "look for a pattern and then form an educated guess." This suggests making a hypothesis or assumption based on the observed pattern, which is the definition of a conjecture.

The other answer choices are defined as follows:

A. conjugation - the act of changing a verb to agree with its subject

B. conjunction - a connecting word

C. congruence - the state of agreeing, matching, or coinciding

D. conjecture - an opinion or conclusion formed on the basis of incomplete information

So option D, conjecture, is the best match for forming an educated guess based on an observed pattern in induction.

Answer:

(p)60/100     :)

Step-by-step explanation:

Answer:

\(1-\frac{2+13+25}{100} = 0,6\)