MATHEMATICS COLLEGE

1. Refer to the equation 2x - 4y = 12(a) Create a table of values for at least 4 points. Show your work on how you found the values for each coordinate pair, and validated the points were on the line
Work for Point 1
Work for Point 2
Work for Points
Work for Point 4
Put your points here
O

Answers

Answer 1
Answer:

The table of values for points x= 1 to x = 4 relating to the linear expression2x - 4y = 12 is given below :

  • x ______ y
  • 1 ______-2.5
  • 2 ______-2
  • 3 ______ -1.5
  • 4 ______ - 1

Giventhe equation :

  • 2x - 4y = 12

We could express the equation in slope - intercept form thus :

-4y = 12 - 2x

Divide both sides by - 4

y = - 3 + 0.5x

  • y = 0.5x - 3

Creating the pair of points :

At ; x = 1

y = 0.5(1) - 3

y = 0.5 - 3 = -2.5

(1, - 2.5)

At point x = 2 ;

y = 0.5(2) - 3

y = 1 - 3 = - 2

(2, - 2)

At point x = 3 ;

y = 0.5(3) - 3

y = 1.5 - 3 = -1.5

(3, -1.5)

At point x = 4 ;

y = 0.5(4) - 3

y = 2 - 3 = -1

(4, - 1)

The graph of the equation is attached below.

Learn more :brainly.com/question/18405415

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Find the scale factor of the line segment dilation. AB: endpoints (-6, -3) and (-3,-9) to A'B': endpoints at (-2, -1) and (-1, -3). A) -1/3 B) 1/3 C) 3D) -3

Answers

we know that the endpoints of AB are

\begin{gathered} (x_1,y_1)=\mleft(-6,-3\mright) \n (x_2,y_2)=(-3,-9) \end{gathered}

and the distance formula is given by

d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}

By substituying these points, we have that

d=\sqrt[]{(-3-(-6))^2+(-9-(-3))^2}

which is equal to

\begin{gathered} d=\sqrt[]{(-3+6)^2+(-9+3)^2} \n d=\sqrt[]{3^2+(-6)^2} \end{gathered}

then

\begin{gathered} d=\sqrt[]{9+36} \n d=\sqrt[]{45} \n d=\sqrt[]{9\cdot5} \n d=\sqrt[]{9}\cdot\sqrt[]{5} \n d=3\sqrt[]{5}\ldots..(A) \end{gathered}

On the other hand, if

\begin{gathered} (x_1,y_1)=(-2,-1) \n (x_2,y_2)=(-1,-3) \end{gathered}

similarly to the previous case, the distance between the endpoint for A'B' is

d=\sqrt[]{(-1-(-2))^2+(-3-(-1))^2}

which is equal to

\begin{gathered} d=\sqrt[]{(-1+2)^2+(-3+1)^2} \n d=\sqrt[]{1^2+(-2)^2} \n d=\sqrt[]{1+4} \n d=\sqrt[]{5}\ldots..(B) \end{gathered}

Now, by comparing equation A and equation B, we can see that, the scale factor is 1/3.

Then, the answer is B.

Please help so urgent

Answers

Answer:

Option E. None of the above.

Step-by-step explanation:

From the question given above, the following data were obtained:

f(x) = (x – 5)/(2x + 3)

Inverse of f(x) => f¯¹(x) =?

Recall:

When a function f(x) is multiplied by it's inverse f¯¹(x), the result is equal to 1 i.e

f(x) × f¯¹(x) = 1

With the above information, we can determine the inverse of function given above as follow:

f(x) = (x – 5)/(2x + 3)

Inverse of f(x) => f¯¹(x) =?

f(x) × f¯¹(x) = 1

(x – 5)/(2x + 3) × f¯¹(x) = 1

f¯¹(x)(x – 5) / (2x + 3) = 1

Cross multiply

f¯¹(x)(x – 5) = (2x + 3)

Divide both side by (x – 5)

f¯¹(x) = (2x + 3) / (x – 5)

Thus, the inverse of the function is (2x + 3) / (x – 5).

Option E gives the correct answer to the question.

Evaluate the expression 3.14(a2 + ab) when a = 3 and b = 4.

Answers

Answer:

65.94

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Step-by-step explanation:

Step 1: Define

Identify

3.14(a² + ab)

a = 3

b = 4

Step 2: Evaluate

  1. Substitute in variables:                                                                                     3.14(3² + 3 · 4)
  2. (Parenthesis) Exponents:                                                                                 3.14(9 + 3 · 4)
  3. (Parenthesis) Multiply:                                                                                      3.14(9 + 12)
  4. (Parenthesis) Add:                                                                                            3.14(21)
  5. Multiply:                                                                                                             65.94

Hey there!

3.14(a^2 + ab)

= 3.14(3^2 + 3 *4)

3^2

= 3 * 3

= 9

3 * 4

= 12

3.14(9 + 12)

9 + 12

= 21

3.14(21)

= 65.94

Answer: 65.94

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Researchers are studying the relationship between honesty, age, and self-control conducted an experiment on 160 children between the ages of 5 and 15. The researchers asked each child to toss a fair coin in private and to record the outcome (heads or tails) on a paper sheet, and said they would only reward children who report heads. Half the students were explicitly told not to cheat and the others were not given any explicit instructions. Differences were observed in the cheating rates in the instruction and no instruction groups, as well as some differences across children's characteristics within each group.Identify the population of interest in the study.a) 80 children between the ages of 5 and 15 who were told not to cheatb) 160 children between the ages of 5 and 15c) The researchersd) All children between the ages of 5 and 15

Answers

Answer:

Option d

Step-by-step explanation:

The population of interest talks about the group that was research into or what type of participants, a research wants to draw a conclusion about.

The population of interest in this case study is all children within the ages of 5 and 15. A sample of 160 children were then drawn out from this total population.

Determine the slope and the y intercept . 4x+y=3 please help

Answers

Answer:

the slope is 4 and the y intercept is (0,-3)

Step-by-step explanation:

When working with this its best to remember y=mx+b, the slope will always be in front of the X. so for example 7x+y=5 ( not a real problem ) but the slope would be 7 because its in front of the X.

Jane will rent a car for the weekend. She can choose one of two plans. The first plan has no initial fee but costs $0.80 per mile driven.The second plan has an initial fee of $70 and costs an additional $0.30 per mile driven. How many miles would Jane need to drive for
the two plans to cost the same?

Answers

I wish I knew,I’ve been trying to figure out
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