1 What is the domain of the following function?
A -4 B 4≤x≤1.5
C -5 D -5≤y≤6

Changing [f(-1) = 1] into coordinate points, we get (x₁, y₁) = (-1, 1),

Changing [f(2) = 7] into coordinate points, we get (x₂, y₂) = (2, 7),

Also, changing [f(1) = 1] into coordinate points, we get (x₃, y₃) = (1, 1),

And finally, changing [f(3) = 0] into coordinate points,

We get (x₄, y₄) = (3, 0).

As per question statement, we are provided with Four separate functions, as follows, [f(-1) = 1], [f(2) = 7], [f(1) = 1] and [f(3) = 0].

We are required to convert the above mentioned functions into coordinate points.

To solve this question, we need to know the standard form of conversion of functions into coordinate points, which goes as [y = f(x)], i.e., the ordinate is a function of the abscissa.

Thus comparing [y = f(x)] to [1 = f(-1)], we get (x, y) = (-1, 1).

Similarly, comparing [y = f(x)] to [7 = f(2)], we get (x, y) = (2, 7),

Comparing [y = f(x)] to [1 = f(-1)], we get (x, y) = (-1, 1),

And finally, comparing [y = f(x)] to [0 = f(3)], we get (x, y) = (3, 0).

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Answer: 56

Step-by-step explanation:  The change from the number line is 56

Answer:

5a-25=bigger than 25

a=bigger than 10

Step-by-step explanation:

Answer:

a>10

Step-by-step explanation:

10-5=5

5 times 5=25

So a must be bigger than 10

The sound group gained IQ points due to the interactions with the women, regardless of their IQ was the outcome of the experiment.

What term is used to describe the idea that people try to control others think about them?

It is claimed that brainwashing impairs a person's capacity for autonomous or critical thought, permits the entry of unwelcome ideas and concepts into their heads, and alters a person's attitudes, values, and beliefs.

Why do people try to control others?

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Answer:

Depends if there is a line above the "1".

Step-by-step explanation:

If it were the attached image it would be repeating>>

If not and it's just 3.1, its terminal.

Answer:

54,427

here's your answer

Answer:

7 and -8

Step-by-step explanation:

Answer:

314

Step-by-step explanation:

The inequality to represent the temperatures at which the propane is safe to use is -40 < x < 120.

It is said that it is safe to use Propane between the temperatures of -40°C and 120°C.

We already know the use of an equality. It makes the values on both sides of it equivalent.

An inequality compares the values on both sides of it. It informs us which one is greater than or less than the other or if they are equal. That is, inequality has a possibility for equality too.

Here the minimum temperature at which propane is safe to use = -40°C

The maximum temperature at which Propane is safe to use = 120°C

We take a variable 'x' to denote the safe temperature of Propane.

Then according to the information, the inequality to represent the temperatures at which the propane is safe to use is,

            -40 < x < 120

An inequality is written with the bigger value is in the open end of '<' and the lower value at the other end.

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Answer:

6 or 5

Step-by-step explanation:

The value of x is 8.366, y is 4.582 and z is 5.477.

Using Pythagoras theorem in both Triangle as

Triangle 1:

H² = P² + B²

z²= y² + 3²

z² = y² + 9

Triangle 2:

x² = y² + 7²

x² = y² + 49

and, x² = z² - 9 + 49

x² = z² + 40.............(1)

Now, In big Triangle

x² + z² = 10²

x² + z² = 100

Now, from equation (1) we get

z² + 40 + z² = 100

2z² = 60

z² = 30

z = 5.477

and, x²= 30+40 = 70

x= 8.366

and, y²= z² - 9

y² = 21

y= 4.582

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Answer:

34

Step-by-step explanation:

the absolute value function always gives a positive result , that is

| - a | = | a | = a , then

| 34 | = 34

Answer:

Equation of a straight line, y=mx+c

i.e. y=

3

​

x+3

Therefore, y=

3

​

x+3 is the required equation of the line

Step-by-step explanation:

Answer:

x = 6

Step-by-step explanation:

[tex]\frac{x}{3} -7=-5[/tex]

→ Add 7 to both sides

[tex]\frac{x}{3} =2[/tex]

→ Multiply both sides by 3

x = 6

The statements are not valid syllogisms.

The term syllogism has to do with the reasoning in which a premise must lead to a conclusion. In other words, the conclusion must logically follow from the premise that has been given.

Let us now see if the statements follows the laws of syllogism;

Statement 1 - If you interview for a job, then you wear a suit.

Statement 2 - If you interview for a job, then you will update your resume.

Looking at these statements it is easy to see that they are not valid syllogism. This is because, not every job requires you to wear a suit for interview. You could have a CV that does not need to be updated and still use it for an interview.

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The type of reasoning utilized in each of the given sentences are;

1) Inductive reasoning

2) deductive reasoning

3) Inductive reasoning

4) Deductive reasoning

5) Deductive reasoning

Inductive reasoning aims at developing a theory while deductive reasoning aims at testing an existing theory.

1) This statement depicts inductive reasoning because it is trying to develop a theory that that studying for a test earns you good grades.

2) This statement depicts deductive reasoning because you are testing an existing theory that red meat has iron in it to draw a conclusion that the steak on your plate has iron in it.

3) This statement depicts inductive reasoning because you are  trying to develop a theory that sum of all angles in a triangle is 180 degrees.

4) This statement depicts deductive reasoning because you are testing an existing theory that parallelograms have two pairs of parallel sides to conclude that rectangles also have two pairs of parallel sides.

5) This is deductive reasoning.

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When 6 fewer than s is no less than −78, the solution in interval notation is (84,∞)

Interval notation is a way of writing subsets of the real number line

Given,

6 fewer than s is no less than -78

6-s < -78

Move 6 to right hand side

-s < -78-6

-s < -84

s > 84

Then the interval notation is (84,∞)

Hence, when 6 fewer than s is no less than −78, the solution in interval notation is (84,∞)

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Step-by-step explanation:

two inequalities are equivalent if they have the same set of solution

x - 5 < 6 - 5

x - < 1 Ladd 5 to both sides

x < 6

this is not with the question but the is a _ under all the < it didn't let me do it

21 is the value of function f(3) .

What is function?

f(x) = 5x + 6

f(3) = 5(3) + 6 = 15 + 6 = 21

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Step-by-step explanation:

The order of operations is a rule that tells the correct sequence of steps for evaluating a math expression. We can remember the order using PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)

Answer:

39.

Step-by-step explanation:

I say good try to the first guy, but aye, it's not fully answering the question.

PEMDAS is the order you solve all of this in. Parenthesis (), Exponents (^), Multiplication (*), Division (/), Addition (+), and Subtraction (-).

We would solve (8-5) first for 3, since there is no sign between both three's, this will be multiplication.

Next is the exponent, 11^2 is 11*11, which is equal to 121.

121 - 3 * 3 * 7 - 19

Next up is Multiplication. 3 * 3 = 9, and 9 * 7 is 63.

Now our equation is 121 - 63 - 19. There is no Division or addition symbol, so we skip to Subtraction.

121 - 63 = 58, and 58 - 19 = 39.

Your Answer is 39.

The above number divided 12 equal parts is given as 0.45833333333. In fraction, this is represented as: 45833333329/99999999990.

Hence it is right to conclude that it is an irrational number.

An irrational number is any real number that cannot be expressed in fraction form.

Non-terminating, non-repeating decimals, such as 0.45445544455544445555..., are included. Irrational numbers are any square roots that are not perfect roots.

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Answer:

Here is the answer: n = 5 or n = -5

Answer:

3/10 or 0.3

Step-by-step explanation:

Answer:

F(x) =y

Step-by-step explanation:

He ask you what x equal when y=4 it will be 3 inshallah

The trail that is closest in length to 10.5 kilometers is Spruce Trail. option D

From the information given, we have that;

The closest in length would be the trail with the lowest difference;

Oak trail = 10.653 - 10. 5 = 0. 153

Maple Trail = 10.592 - 10. 5 = 0. 092

Pine Trail = 10.732 - 10. 5 = 0. 232

Spruce Trail = 10.484 - 10. 5 = -0. 016

Thus, the trail that is closest in length to 10.5 kilometers is Spruce Trail. option D

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Answer:

The LCD of 2/3 and 3/4 is 12.

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Least common denominator is the common denominator, which is the bottom number, that two fractions share.

[tex]2/3 = 2/3 \cdot 4/4 = 8/12\\3/4 = 3/4 \cdot 3/3 = 9/12[/tex]

➲ Hope this helps.

Six times the cube of a number x

Given that

To find

So, according to the question

We have,

Now, for finding the six times of the cube of x, first we have to find the cube of x

                                = x¹ × x¹ × x¹

     ∵ The powers will be added when

                 [tex]a^{m}\times a^{n} = a^{m+n}[/tex]

     ∴                        = x⁽¹⁺¹⁺¹⁾

                                = x³

Now,

                                                          = 6 × (x³)

                                                          = 6x³

The six times of the cube of x =  6x³.

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Answer:

A

Step-by-step explanation:

[tex]\frac{2xy}{-4x^3y^2}[/tex] ( cancel 2 and - 4 by 2 )

= [tex]\frac{xy}{-2x^3y^2}[/tex] ( cancel x on numerator/ denominator )

= [tex]\frac{y}{-2x^2y^2}[/tex] ( cancel y on numerator/ denominator )

= [tex]\frac{1}{-2x^2y}[/tex]

Answer:

The length of the rectangle is 11 inches, and the width of the rectangle is 10 inches.

Step-by-step explanation:

Let l be the length of the longer side of the rectangle. Then the width of the rectangle is l-1 inches. Since the perimeter of the rectangle is 42 inches, we have:

2(l + l - 1) = 42

l + l - 1 = 21

2l = 22

l = 11 inches, so l - 1 = 10 inches