Use the graph to answer the question.
picture of graph below
Determine the translation used to create the image.
A. 4 units to the right
B. 4 units to the left
C. 8 units to the right
D. 8 units to the left​

Answer:

The slope is [tex]\frac{-1}{3}[/tex]

Step-by-step explanation:

From the two points (0,-1) (3,0). The y values are 0 and -1. The x values are 3 and 0.  The slope is the change in y over the change in x.  You find the change by subtracting.

[tex]\frac{0-1}{3-0}[/tex] = [tex]\frac{-1}{3}[/tex]

Helping in  the name of Jesus.

Answer:

Step-by-step explanation:

5 + x (where x represents the number)

x / (-2)

2x

x - 7

12x

x - 3

$15h (where h represents the number of hours worked)

C - $5 (where C represents the cost of the ticket)

x + 24

50 / n (where n represents the number of students)

(2/5)x

(1/2)x - 19

-4x - 11

8x + 5

x^2 - 14

(3/4)x + 17

----------------------------------

Five added to a number

The result of dividing a number by -2

Two times a number

A number decreased by 7

The result of multiplying a number by 12

A number decreased by 3

Earning $15 per hour

The cost of the ticket minus $5

The sum of a number and 24

Dividing 50 markers among several students

Two-fifths times a number

Half of a number minus 19

The result of subtracting 11 from the product of a number and -4

The sum of eight times a number and five

The difference between the square of a number and 14

Three-fourths times a number plus 17

Step-by-step explanation:

I = E/R    multiply both sides of the equation by R

I R = E / R  * R

I R = E     Now divide both sides by I

R  = E/ I

The value of y for the given quadrilateral is 5.

A closed quadrilateral has four sides, four vertices, and four angles. It is a form of polygon. In order to create it, four non-collinear points are joined. Quadrilaterals always have a total internal angle of 360 degrees.

The Latin words quadra, which means four, and latus, which means sides, are combined to form the English term quadrilateral. A quadrilateral does not always have to have equal lengths on each of its four sides. As a result, depending on the sides and angles, we might have several sorts of quadrilaterals.

We know that the opposite sides of the quadrilateral have a sum of 180 degrees.

Thus,

23y + 13y = 180

36y = 180

y = 5

Hence, the value of y for the given quadrilateral is 5.

Learn more about quadrilateral here:

https://brainly.com/question/13805601

#SPJ1

The conditional probability that a randomly selected contestant played an acoustic guitar, given they wore leather pants, is 0.6 or 60%.

What is Probability ?

Probability is the measure of the likelihood or chance of an event occurring. It is a mathematical concept that is used to quantify uncertainty and provide a basis for making informed decisions in various fields such as science, engineering, economics, and finance.

To find the conditional probability that a randomly selected contestant played an acoustic guitar, given they wore leather pants, we need to use the formula for conditional probability:

P(A | B) = P(A and B) / P(B)

where A is the event that the contestant played an acoustic guitar, and B is the event that the contestant wore leather pants.

We are not given the total number of contestants in the competition, but we can use the information provided in the table to calculate the probabilities of A and B, as well as the joint probability of A and B.

Let's first calculate the probability of B:

P(B) = number of contestants wearing leather pants / total number of contestants

P(B) = 15 / 45

P(B) = 1/3

Now, let's calculate the joint probability of A and B, i.e., the probability that a randomly selected contestant played an acoustic guitar and wore leather pants:

P(A and B) = number of contestants who played acoustic guitar and wore leather pants / total number of contestants

P(A and B) = 6 / 45

Finally, we can use the formula for conditional probability to find the probability that a randomly selected contestant played an acoustic guitar, given they wore leather pants:

P(A | B) = P(A and B) / P(B)

P(A | B) = (6 / 45) / (1/3)

P(A | B) = 0.6

Therefore, the conditional probability that a randomly selected contestant played an acoustic guitar, given they wore leather pants, is 0.6 or 60%.

To learn more about Probability from given link.

https://brainly.com/question/29221515

#SPJ1

Answer:

C) neither. Both events are equally likely.

Step-by-step explanation:

Answer:

In-text citations are the short citations you include in the written text that help a reader to understand which sources you are quoting or referring to in your writing example(Field, 2022). Reference is the full details of the source you have cited in your writing.

The width of the added strip is 10 meters.

What is Area?

Area is a measure of the amount of surface enclosed by a two-dimensional shape or figure. It is usually expressed in square units, such as square meters or square inches, and is calculated by multiplying the length of a side or a diameter by itself or by using an appropriate formula for the shape.

If the area of the skating rink is doubled by adding a strip of equal width along one side and another strip at one end, then the new dimensions of the skating rink would be

=>  (30 + x) × (20 + x),

where x is the width of the added strip.

According to the problem, the new area of the skating rink is double the original area, so we can set up the following equation:

=> (30 + x)(20 + x) = 2(30 ×20)

Expanding the left-hand side and simplifying, we get:

=> 600 + 50x + x² = 1200

Rearranging and solving for x, we get:

=> x² + 50x - 600 = 0

Factoring the left-hand side, we get:

=> (x + 60)(x - 10) = 0

Therefore, the possible values for x are x = -60 and x = 10. Since the width of the strip cannot be negative, we reject x = -60 and conclude that the width of the added strip is 10 meters.

To learn more about Area from the given link

https://brainly.com/question/25292087

#SPJ1

Answer:

x = 4 is a straight, vertical line at 4 on the x axis.

Answer:

Step-by-step explanation:

16

lbozo

Answer: Let's assume that the width of the rectangular room is "x" meters. Then, according to the problem, the length of the room is 2 times the width, which means the length is "2x" meters.

The perimeter of the room is the sum of all four sides, so we can write:

Perimeter = 2 × (length + width)

Substituting the values, we get:

48 = 2 × (2x + x)

Simplifying the expression, we get:

48 = 2 × 3x

Dividing both sides by 2, we get:

24 = 3x

Solving for "x", we get:

x = 8

Therefore, the width of the room is 8 meters and the length is 2 times the width, which is 2 × 8 = 16 meters.

So the dimensions of the room are 8 meters by 16 meters.

Step-by-step explanation:

Answer:

1. Differentiated Instruction: This intervention involves tailoring lessons and activities to meet the individual learning needs and preferences of students. For example, a teacher can design various instructional materials for students with different skill levels to ensure they engage in the lesson and learn effectively.

2. Explicit Instruction: This intervention involves breaking down a complex process or concept into smaller, more manageable parts, and explaining each part clearly and explicitly. The teacher provides ample opportunities for students to practice and apply what they have learned.

3. Formative Assessment: This intervention involves using ongoing, informal assessments to monitor students' progress and provide feedback to both students and teachers to make necessary adjustments. Teachers can use formative assessments to identify areas of difficulty and intervene early.

4. Collaborative Learning: This intervention involves encouraging students to work together in pairs or small groups to complete tasks or solve problems. Within these groups, students share ideas, clarify misunderstandings, and learn from each other.

Differentiated Instruction, Small Group Instruction, Formative Assessment, Peer Tutoring, Real-World Connections and Positive Feedback are the strategies to assist the child.

Teaching can be defined as engagement with learners to enable their understanding and application of knowledge, concepts and processes

Differentiated Instruction, Small Group Instruction, Formative Assessment, Peer Tutoring, Real-World Connections and Positive Feedback:

These strategies are effective because they are research-based and have been shown to support students' learning in mathematics.

By catering to the specific needs of students, providing individualized support, and making connections to the real world, students are more likely to engage in mathematics, understand mathematical concepts, and develop positive attitudes towards mathematics.

Hence, Differentiated Instruction, Small Group Instruction, Formative Assessment, Peer Tutoring, Real-World Connections and Positive Feedback are the strategies to assist the child.

To learn more on Teaching click:

https://brainly.com/question/26400147

#SPJ5

Answer:

mp = 37500

Step-by-step explanation:

let mp be x

D.A = 20×x/100

= 20x/100

=x/5

price after discount = mp - DA

= x-x/5 = 4x/5

VAT= 15%of 4x/5

= 15/100 × 4x/5

= 60x/500

sp with vat= 4x/5 +60x/500

= 460x/500

sp with vat - sp after discount = 4500

460x/500-4x/5=4500

60x= 4500×500

x= 37500

The value of (f o g)(3) using composite function is 35

Composite function refers to the combining of functions in a manner where the output from one function becomes the input for the next function.

To calculate the composite function (f o g)(3), we use the techniques below.

From the question,

Given:

Note that,

Step 1: Find g(3)

Therefore,

Step 2: To find f(g)(3), we subetitute the value of x in f(x) by 12

Hence, (f o g)(3) is 35

Learn more about composite function here: https://brainly.com/question/29103939

#SPJ1

Answer:

[tex]\frac{12}{35}[/tex]

Step-by-step explanation:

[tex]\frac{2}{5}[/tex] x [tex]\frac{6}{7}[/tex] = [tex]\frac{12}{35}[/tex]

[tex]\frac{12}{35}[/tex] is already in simplest form, so the answer is [tex]\frac{12}{35}[/tex]

Jane won 90% of the video games. The solution has been obtained by using the arithmetic operations.

What are arithmetic operations?

The four fundamental operations, sometimes known as "arithmetic operations," are believed to adequately characterise all real numbers. Division, multiplication, addition, and subtraction are followed by the mathematical operations quotient, product, sum, and difference.

We are given that Jane won 9 out of the 10 video games she played.

Let the percentage be x.

Using the multiplication operation, we get,

⇒ 10 * x% = 9

⇒ 10 * [tex]\frac{x}{100}[/tex] = 9

⇒  [tex]\frac{x}{10}[/tex] = 9

⇒ x = 90

Hence, Jane won 90% of the video games.

Learn more about arithmetic operations from the given link

brainly.com/question/30283549

#SPJ1

Since, there are multiple questions so, the question answered above is:

Question: Jane won 9 out of the 10 video games she played. What percent of the video games did Jane win?

The maximum profit of manufacturing company is  = $3150

If an equation is in ax + b = c and there is only one variable in the equation then it is called linear equation in one variable. a , b , c are real number and a is not equal to 0.

To maximize  profit, we must determine the number of trick  and slalom skis to produce each day, subject to the constraints of available labor hours.

Let x be the number of  skis and y be the number of slalom skis produced per day.

 The objective function to be maximized is:

Profit = 60x50 a

With the following limitations:

Production hours: 9x 6 a ≤ 432

Final hours: x y ≤ 63

Non-negativity constraints: x ≥ 0, y ≥ 0

We can solve this linear programming problem using graphical or algebraic methods. Here we  use algebraic methods:

From the second limit, we get y ≤ 63 - x.

If this inequality is replaced by the first limit, we get:

9 x 6 (63 - x) ≤ 432

3x ≤ 54

x ≤ 18

This means that the maximum production rate is 18 pieces per day. Replacing x = 18 by the inequality y ≤ 63 - x, we get:

y ≤ 63 – 18 = 45

So the maximum production is 45 slalom skis  per day.

 To verify that this is the correct solution, we need to ensure that it satisfies the non-negativity constraints:

x ≥ 0 and y ≥ 0 are already given in the assignment statement.  

Therefore, the maximum profit is:

Profit = 60(18) 50(45) = $3150

The biggest profit is when 18 trick skis and 45 slalom skis are made per day.

Learn more about Real numbers here

https://brainly.com/question/551408

#SPJ1

Answer: This issue can be resolved by employing trigonometry. Let's say that the surveyor is standing at point A, and the landmark on the other side of the pond is at point B. We can also make the assumption that the distance between points A and B is the width of the pond we need to find. Now, let's draw a line from point A to point B to represent the pond's width. Let's call this distance x. The surveyor's distance from the pond can also be represented by drawing a line 50 feet away from point A to point C.

The tangent of an angle is the opposite side (in this case, x) divided by the adjacent side (in this case, 50 feet), so we can now use the tangent function to determine x. We now have:

Rearranging this equation allows us to solve for x: tan(theta) = x/50, where theta is the angle between the lines from point A to point B and point A to point C.

We do not know the value of theta, but we are aware that the surveyor measured the angle to the landmark. x = 50*tan(theta) We should expect that the assessor estimated the point in degrees. Then, we can multiply the angle's tangent by 50 to get x using a calculator. For instance, if the surveyor measured an angle of 30 degrees, we would have:

The pond's width is therefore approximately 28.85 feet, rounded to the nearest foot, as x = 50tan(30) = 500.577. The response isn't given in the decisions, yet it is nearest to 29 feet

Step-by-step explanation:

The answer of the given question based on graph is Part A: the unit rate of square feet painted per minute is 1.125, so the ordered pair that displays this unit rate is (1, 1.125) and Part B:  the points that lie on the line are (3.5,3.9375), (4,5), and (32,36).

Slope refers to the steepness of a line or a surface. More specifically, slope is defined as the ratio of the vertical change (rise) between two points to the horizontal change (run) between the same two points on a line or a surface. In other words, slope measures how much a line or a surface rises or falls as it moves horizontally.

Since the relationship between the minutes worked and the square feet painted is proportional, we can use the slope-intercept form of a linear equation to represent it:

To find the equation of the line, we can use the given point (16,18) and the fact that the relationship is proportional. If we let the unit rate be r (in square feet per minute), then we have:

18 = r(16)

r = 18/16

r = 1.125

So the equation of the line is:

y = 1.125x

Part A: The unit rate of square feet painted per minute is 1.125, so the ordered pair that displays this unit rate is (1, 1.125), since the slope represents the unit rate in a proportional relationship.

Part B: To determine which of the points lie on the line, we can plug in the x-values into the equation y = 1.125x and see if the resulting y-values match.

(y - 18) / (x - 16) = slope

Using the slope calculated above, we can simplify this equation to:

y = 1.125(x - 16) + 18

Now, we can plug in the x and y values for each point and check if they satisfy this equation:

(2,2.5): 2.5 = 1.125(2 - 16) + 18, not on the line

(3.5,3.9375): 3.9375 = 1.125(3.5 - 16) + 18, on the line

(4,5): 5 = 1.125(4 - 16) + 18, on the line

(32,36): 36 = 1.125(32 - 16) + 18, on the line

(10,11.5): 11.5 = 1.125(10 - 16) + 18, not on the line

(0,0): 0 = 1.125(0 - 16) + 18, not on the line

Therefore, the points that lie on the line are (3.5,3.9375), (4,5), and (32,36).

To know more about Slope-intercept form visit:

https://brainly.com/question/3255764

#SPJ1

The random variable x can take on the values of 0, 1, 2, or 3, representing the number of defective items in the sample of 3 items.

The random variable x represents the number of defective items in a sample of 3 items selected at random from the box.

Since there are 3 defective items out of 12 total items, the probability of selecting a defective item on the first draw is 3/12 or 1/4.

After the first draw, there are only 11 items remaining in the box, of which 2 are defective. Therefore, the probability of selecting a defective item on the second draw, given that the first draw was also defective, is 2/11.

Similarly, the probability of selecting a defective item on the third draw, given that the first two draws were also defective, is 1/10.

Read more about random variable at

https://brainly.com/question/3130222

#SPJ1

Hello!

Lets consider what the question asks for:

 --> graphs of either line intersecting/parallel/identical

 --> # of solutions the system has

The information given:

  6x + y = 25

  x + 3y = 3

Let's solve the FIRST problem

  --> graphs of either line intersecting/parallel/identical

             --> let's put both equations into slope-intercept form, where we

                   isolate the y-variable all by itself to one side

                               [tex]6x+3y=25\\3y=-6x+25\\\\y=-2x+\dfrac{25}{3}[/tex]

                                [tex]x+3y=3\\3y=-x+3\\y=-\dfrac{1}{3}x+1[/tex]

             --> both equations AREN'T parallel as the slope (coefficient of x-

                   variable) aren't equal

             --> both equations AREN'T identical as they don't look the same

              --> both equations ARE INTERSECTING as they have different

                   slopes and aren't identical

Let's solve our second question:

   --> how many solutions does the system have:

       --> both lines intersect

           -->both lines are linear as the highest power that the x-variable

                has are 1

                 --> thus there is only ONE SOLUTION

Answer:

 Intersecting

 Has ONE SOLUTION

Answer 1452

Step-by-step explanation:

n(m n p n c) =n(m) + n(p) + n(c) - n(m n p) - n(m n c) - n(p n c) + n(m n p n c) = 960+ 780 + 572 - 300 - 340 - 260 + 130 = 1452

The z-score for an age of 30 years is 0.43.

A confidence interval (CI) for an unknown parameter in frequentist statistics is a range of estimations. The most popular confidence level is 95%, but other levels, such 90% or 99%, are occasionally used for computing confidence intervals. The fraction of related CIs over the long run that actually contain the parameter's true value is what is meant by the confidence level.

To convert an age to a z-score, we use the formula:

z = (x - μ) / σ

where:

x = the age we want to convert to a z-score

μ = the mean age

σ = the standard deviation of the ages

For example, if we want to convert an age of 30 years to a z-score using the given information with μ = 28.5 and σ = 3.5, we have:

z = (30 - 28.5) / 3.5

z = 0.43

So the z-score for an age of 30 years is 0.43.

Learn more about confidence interval, by the following link.

https://brainly.com/question/17097944

#SPJ1

Complete question:

The area of a rectangle is given by the formula:

Area = length x width

In this case, the length of the park is x + 5 and the width is x - 2. So, we can substitute these expressions into the formula to get:

Area = (x + 5) x (x - 2)

Expanding the product, we get:

Area = x^2 + 5x - 2x - 10

Simplifying, we have:

Area = x^2 + 3x - 10

Therefore, the area of the rectangular park is given by the expression x^2 + 3x - 10.

The value of j is equal to 9√3 meters.

In Mathematics and Geometry, a 30-60-90 triangle is also referred to as a special right-angled triangle and it can be defined as a type of right-angled triangle whose angles are in the ratio 1:2:3 and the sides are in the ratio 1:√3:2.

This ultimately implies that, the length of the hypotenuse of a 30-60-90 triangle is double (twice) the length of the shorter leg (adjacent side), and the length of the longer leg (opposite side) of a 30-60-90 triangle is √3 times the length of the shorter leg (adjacent side).

Note: j is the side opposite to the 60° angle.

The side opposite to the 60° angle, j = 9 × √3

The side opposite to the 60° angle, c = 9√3 meters.

Read more on 30-60-90 triangle here: brainly.com/question/30283450

#SPJ1

Therefore, only the points (4, 1) and (3, 8) can be used to find the distance between the points (4, 1) and (3, 8) using the Pythagorean theorem.

In mathematics, a coordinate is a set of numbers that uniquely determines the position of a point or an object in space. The most common coordinate system is the Cartesian coordinate system, which uses two or three numerical values to locate points on a plane or in space.

Here,

To find the distance between the points (4, 1) and (3, 8) using the Pythagorean theorem, we need to use the coordinates of these two points to form a right-angled triangle, with the line segment connecting the two points as its hypotenuse. Therefore, the points that can be used to find the distance between the points (4, 1) and (3, 8) using the Pythagorean theorem are:

(4, 1) and (3, 8)

The point (0, 0) cannot be used to find the distance between the two given points using the Pythagorean theorem because it is not on the line segment connecting the two points.

The point (4, 8) cannot be used to find the distance between the two given points using the Pythagorean theorem because it is not on the line segment connecting the two points.

The point (4, 3) cannot be used to find the distance between the two given points using the Pythagorean theorem because it is not on the line segment connecting the two points.

The point (1, 8) cannot be used to find the distance between the two given points using the Pythagorean theorem because it is not on the line segment connecting the two points.

To know more about coordinate,

https://brainly.com/question/29189189

#SPJ1

The dilation of the black figure to blue figure is a reduction with a scale factor of 0.5

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size.

It can either be an enlargement or a reduction.

An enlargement means a scale factor greater than 1 while a reduction is a scale factor less than 1.

Thus, this dilation is a reduction.

Coordinates of initial figure are:

(-8, 10), (10, 10), (8, -8), (2, -8)

Coordinates of dilated figure are:

(1, -4), (4, -4), (-4, 5), (5, 5)

Thus, it is clear that the scale factor is 0.5

Read more about Scale of Dilation at: https://brainly.com/question/10253650

#SPJ1