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## Which expression represents the algebraic phrase “nine times a number plus thirteen”? A. 9 – y + 13 B. 9 + y – 13 C. 9y + 13 D. 13y + 9

Answer:  The correct option is (C) 9y + 13.

Step-by-step explanation:  We are given to select the expression that represents the following statement :

“nine times a number plus thirteen”

Let the number be represented by y.

Then, nine times the number is written as follows :

Since we are to add 13, so the final expression is given by

Thus, the required expression is

Option (C) is CORRECT.

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## Bill bought a new cellular phone. His monthly bill will be \$34.99 each month which includes 100 minutes of use. Additional minutes will cost \$0.23 per minute. Write an equation that represents the cost of the bill C in terms of m, which is the number of minutes used ABOVE the 100 that are included in the base price. a. C = 34.99(m – 100) + 0.23 c. C = 0.23m b. C = 0.23m + 34.99 d. C = 0.23(m – 100) + 34.99

d. C = 0.23(m – 100) + 34.99

Step-by-step explanation:

Let C = X + Y, where

C = Cost of the bill in terms of m

X = First term of the equation

Y = Second term of the equation

X = add additional minutes to \$ 0.23 minus the 100 minutes of use allocated.

X = 0.23 (m – 100)

Y = Base price monthly will be \$ 34.99

Y = 34.99

C = X + Y

C = 0.23 (m – 100) + 34.99

Note: The only possible answer is 0.23 (m – 100) + 34.99, but we must assume that “m” is greater than or equal to 100, that is, Bill consumes at least his 100 minutes assigned by the base price.

Hope this helps!

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## Marty teaches music in his community. He teaches three classes a day, and each class has fewer than 8 students. If Marty teaches x students a day, which is the simplest inequality that represents this situation?

x<24

Step-by-step explanation:

We have that Marty teaches three classes a day, and each class has fewer than 8 students. Let’s suppose that each class has 8 students, in this case we have that the total number of students that Marty teaches is x = 3×8=24, because Marty teaches three classes a day and x represents the total students Marty has in a day. But we know that each Marty’s class has fewer than 8 students and not exactly 8, then we should have x<24. Because a good case for Marty would be to have 8 students in each class.

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## The data set shown below represents the number of times some families went out for dinner the previous week. 4, 2, 2, 0, 1, 6, 3, 2, 5, 1, 2, 4, 0, 1 Create a dot plot to represent the data. What can you conclude about the dot plot of the data set? Check all that apply. The range of the number line should be 0 to 7 to represent the frequency. Four families said they ate out twice the previous week. One family said they ate out 5 times the previous week. The data set is symmetrical. The median best represents the data set.

The correct options are:

• Four families said they ate out twice the previous week.
• One family said they ate out 5 times the previous week.
• The median best represents the data set.

Step-by-step explanation:

We are given a data set as:

4, 2, 2, 0, 1, 6, 3, 2, 5, 1, 2, 4, 0, 1

On arranging this data set in the frequency table we get:

Number of times they went for dinner    Number of families

0                                                          2

1                                                           3

2                                                          4

3                                                           1

4                                                           2

5                                                           1

6                                                            1

• Hence, the range of the number line is between 0 to 6.
• Also there are 4 dots above 2.

Hence,  Four families said they ate out twice the previous week.

• Also there is one dot above 5.

Hence,  One family said they ate out 5 times the previous week.

• The data set is not symmetrical since the median is 2 and the data points to the left and to the right do not have symmetry.

Hence, the data set is not symmetrical.

• Also we know that the median of the data is the central tendency of the data and always best represents the data.

Hence, The median best represents the data set.

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## If the side length of the base of a square pyramid is divided by 4 and the slant height is divided by 3, what is the surface area formula that represents these changes?

If the side length of the base of a square pyramid is divided by 4 and the slant height is divided by 3, what is the surface area formula that represents these changes?

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## The table below represents the function P(n). Which of the following is the value of P(n) when n = 35?

The table below represents the function P(n). Which of the following is the value of P(n) when n = 35?

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## Kate takes the elevator from the ground floor (which is labeled 0) to a floor three levels below the ground floor. Which number represents the floor where she gets off the elevator?

The number should be -3. That is because she goes from 0 to three floors bellow, meaning it’s 0-3= -3. The first floor bellow would be -1, the second would be -2, and the third one is -3. It would be different if you counted it as number 1 as they do in some countries, but here it’s -3.

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## Which equation represents a linear function? Equation 1: y = 2×2 + 1 Equation 2: y = 8x + 1 Equation 3: y = 5×3 – 1 Equation 4: y2 = 4x – 1 A. Equation 1 B. Equation 2 C. Equation 3 D. Equation 4

Which equation represents a linear function? Equation 1: y = 2×2 + 1 Equation 2: y = 8x + 1 Equation 3: y = 5×3 – 1 Equation 4: y2 = 4x – 1 A. Equation 1 B. Equation 2 C. Equation 3 D. Equation 4

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## The graph represents function 1 and the equation represents function 2: A graph with numbers 0 to 4 on the x-axis and y-axis at increments of 1. A horizontal straight line is drawn joining the ordered pairs 0, 3 and 4, 3. Function 2 y = 6x + 1 How much more is the rate of change of function 2 than the rate of change of function 1? A. 5 B. 6 C. 7 D. 8

The graph represents function 1 and the equation represents function 2: A graph with numbers 0 to 4 on the x-axis and y-axis at increments of 1. A horizontal straight line is drawn joining the ordered pairs 0, 3 and 4, 3. Function 2 y = 6x + 1 How much more is the rate of change of function 2 than the rate of change of function 1? A. 5 B. 6 C. 7 D. 8

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## The problem is in the decoding process by the receiver.

Explanation:

This become a problem when the receiver, busy manager, has to invest to much time to decode the message, that is reading the message. This is a non-effective communication and it’s a problem in every organisation.

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## The side of a square measures (3x − 6) units. Part A: What is the expression that represents the area of the square? Show your work to receive full credit. (4 points) Part B: What are the degree and classification of the expression obtained in Part A? (3 points) Part C: How does Part A demonstrate the closure property for polynomials? (3 points)

A. The area of a square is given as:

A = s^2

Where s is a measure of a side of a square. s = (2 x – 5) therefore,

A = (2 x – 5)^2

Expanding,

A = 4 x^2 – 20 x + 25

B. The degree of a polynomial is the highest exponent of the variable x, in this case 2. Therefore the expression obtained in part A is of 2nd degree.

Furthermore, polynomials are classified according to the number of terms in the expression. There are 3 terms in the expression therefore it is classified as a trinomial.

C. The closure property demonstrates that during multiplication or division, the coefficients and power of the variables are affected while during multiplication or division, only the coefficients are affected while the power remain the same.

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## N a beanbag toss game, Janelle scores 5 points for landing on a round target and 8 points for landing on a square target. She needs more than 50 points to win. Let x represent the number of times Janelle lands on the round target and let y represent the number of times she lands on the square target. Which inequality represents the situation?

N a beanbag toss game, Janelle scores 5 points for landing on a round target and 8 points for landing on a square target. She needs more than 50 points to win. Let x represent the number of times Janelle lands on the round target and let y represent the number of times she lands on the square target. Which inequality represents the situation?

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## Which diagram correctly represents this sentence? Stephen hates procrastinating at work.

Which diagram correctly represents this sentence? Stephen hates procrastinating at work.

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## Jeff and jill are collecting coats for kids. They hope to collect 20 coats per day to reach their goal. They have already collected 100 coats. If the function for this problem is f(c) =20d+100,describe the slope he slope represents the number of days the coats were delivered. the slope represents the number of people who donated each day. the slope represents the number of coats collected each day. None of the choices are correct.

Jeff and jill are collecting coats for kids. They hope to collect 20 coats per day to reach their goal. They have already collected 100 coats. If the function for this problem is f(c) =20d+100,describe the slope he slope represents the number of days the coats were delivered. the slope represents the number of people who donated each day. the slope represents the number of coats collected each day. None of the choices are correct.

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## Which list represents the steps for analyzing visual art? view, conclude, critique, create view, focus, conclude, relate view, focus, observe, conclude view, conclude, relate, critique

The list that  represents the steps for analyzing visual art is:
view, focus, observe, conclude.

View: Getting the first quick look on the art

Focus: Pay attention to smaller details on the art

Observe: Tried to find out the connection between every objects inside the art

Conclude: Determine the message that the artist want to give through the art

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## Which symbol from a raisin in the sun most likely represents following society’s expectations? A. Mama’s plant B. Asagai C. “Eat you eggs!” D. Beneatha’s natural hairstyle

A Raisin in the Sun by Lorraine Hansberry, the symbol which most likely which represents the following society’s expectations is “Eat your eggs!”

The dialogue between Walter and Ruth wherein, Walter states, “Man says to his woman: I got me a dream. His woman says: Eat your eggs.” The eggs here are the ideas that are forming in his mind but never fulfilled. It represents his ambition, hope, and dreams, in addition, Walter’s children are symbolized through eggs. Walter cannot protect the unborn child or Travis, who is fragile and young like an egg as he cannot get them what they want. The cooking of the egg is the amalgamation between Walter’s dreams and hopes and Travis being the future, as eggs come to fruition when scrambled and heated through conflicts.

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## Greg made pudding every weekend. The more times he made pudding, the more practice he gained. The time he took to make the same amount of pudding every week decreased with practice. The function below shows the number of hours f(x) Greg took to make pudding after he had made it x times: f(x) = 2(0.8)x Which graph best represents the function? graph of function f of x equals 0.8 multiplied by 2 to the power of x graph of function f of x equals 0.8 to the power of x graph of function f of x equals 2 to the power of x function of f of x equal 2 multiplied by 0.8 to the power of x

After Greg makes the pudding 1 time, it takes him  hours to make it.

After Greg makes the pudding 2 times, it takes him  hours to make it

After Greg makes the pudding 2 times, it takes him  hours to make it

so The function is

Answer: f of x equals 2 multiplied by 0.8 to the power of x

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## The flip flop a lot company makes and sells flip flops they have one linear function that represents the cost of producing flip-flops and another linear function that models how much income they get from those flip-flops describe the key features that will determine if these linear functions ever intercepted

If the linear functions have the same slope but different y-intercepts, they will never intercept. If the If the linear functions have the same slope and the same y-intercet, they are the same line. If the linear functions have different slopes and different y-intercepts, they will intercept.

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## It takes 31 employees and \$7500 to build a car, and it takes 19 employees and \$4300 to build a motorcycle. Genghis Motors wants to spend more than \$84000 to build cars and motorbikes using at most 706 employees. Let C denote the number of cars they build and M the number of motorbikes they build. Write an inequality that represents the condition based on the number of employees.Write an inequality that represents the condition based on the number of dollars.

we know it takes 31 workers to do a car, and 19 to do a motorcycle… so hmmm to make “c” cars, it will then take 31*c workers, or 31c

to make “m” motorcycles, it will then take 19*c or 19c employees

whatever those amounts of workers needed to make both, must be an amount  that is 706 or less, thus

31c + 19m ⩽ 706

now…. it takes \$7500 to make a car and thus to make “c” cars it will then take 7500* c or 7500c

it takes \$4300 for a motorbike, thus to make “m” motorbikes, it will then take 4300*m, or 4300m

whatever those dollar amounts are, must be 84000 or more, since Genghis Motors wants to spend that OR more

7500c + 4300m > 84000

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## Which of the following represents a method by which one could convert inches into miles A. Multiply by 12, then multiply by 5,280 B. Divide by 12, then divide by 5,280 C. Add 12, then divide by 5,280 D. Multiply by 12, then divide by 5,280

To convert inches to miles, you would first have to convert inches to feet, and since there are 12 inches in a foot, the first step would be multiply by 12. After converting 12 inches to 1 foot, you would then have to take 1 and multiply by 5,280, since there are 5,280 feet in a mile, so the answer would be A, Multiply by 12, then multiply by 5,280.

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## The function h(x) = x2 + 14x + 41 represents a parabola. Part A: Rewrite the function in vertex form by completing the square. Show your work. (6 points) Part B: Determine the vertex and indicate whether it is a maximum or a minimum on the graph. How do you know? (2 points) Part C: Determine the axis of symmetry for h(x). (2 points)

Given the function h(x)=x^2+14x+41, to solve by completing square we procced as follows;
x^2+14x+41=0
x^2+14x=-41
but;
c=(b/2)^2
and b=14
hence;
c=(14/2)^2=49
substituting the value of c in the expression we get:
x^2+14x+49=-41+49
x^2+14x+49=8
(x+7)^2=8
this can be written in vertex form;
h(x)=a(x-h)^2+k
where:
(h,k) is the vertex;
thus
(x+7)^2=8
h(x)=(x+7)^2-8
hence the vertex will be at the point:
(-7,-8)

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## Which of the following represents the most accurate estimation of 664-127

Which of the following represents the most accurate estimation of 664-127

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## Which represents the solution(s) of the system of equations, y = x2 – 4x – 21 and y = –5x – 22? Determine the solution set algebraically. (–1, –17) (1, –27) (–1, –17) and (1, –27) no solutions

No solutions

Step-by-step explanation:

We have been given the system of equations

Substituting the values y from (2) in (1)

Let us find the discriminant of this quadratic equation

Since, D is negative. Hence, there will not be any real zeros.

It means we’ll not get any real values for x.

Therefore, there is no solution for the given system of equations.

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## A jar of peanut butter holds 40 ounces. When you make a sandwich, you use two ounces. Which equation best represents the amount left in the jar? A) y = 40x – 2 B) y = 40x + 2 C) y = 2x + 40 D) y = -2x + 40

A jar of peanut butter holds 40 ounces. When you make a sandwich, you use two ounces. Which equation best represents the amount left in the jar? A) y = 40x – 2 B) y = 40x + 2 C) y = 2x + 40 D) y = -2x + 40