4x - 2x + x - 6 = 15
solve for x and show steps!​

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,∞)

Learn more about Interval notation here

brainly.com/question/16768997

#SPJ4

We get that the total dipers that Charlie's mom will use in the month of June and July will be 549 dipers.

Charlie's mom uses an average of 9 diapers a day.

Average = 9

Average means a number that is calculated by adding quantities together and dividing the total by the number of quantities.

Average = Sum of observations / number of observations

A = S / N

We know that:

June has = 30 days

July has = 31 days.

Total days = 30 days + 31 days = 61 days

N = 61

Let the sum = S be x.

Substituting the values in the formula, we get that:

9 = S / 61

S = 9 × 61

S = 549

Therefore, we get that the total dipers that Charlie's mom will use in the month of June and July will be 549 dipers.

Learn more about average here:

https://brainly.com/question/20118982

#SPJ9

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-intercept(s): (2,0)

y-intercept(s): (0,-4)

Step-by-step explanation:

Answer:

34

Step-by-step explanation:

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

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

| 34 | = 34

Answer:

314

Step-by-step explanation:

Answer:

AC = 135 units

Step-by-step explanation:

since PQ bisects AB , then

BC = AC , that is

12x - 21 = 9x + 18 ( subtract 9x from both sides )

3x - 21 = 18 ( add 21 to both sides )

3x = 39 ( divide both sides by 3 )

x = 13

Then

AC = 9x + 18 = 9(13) + 18 = 117 + 18 = 135

Answer:

The sum of two numbers is twenty-one. one number is eighteen less than two times the other =

8 and 13

Answer:

b is the correct answer

80r144

Step-by-step explanation:

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).

To learn more about Coordinate Points,  click on the link below.

https://brainly.com/question/14202844

#SPJ9

The mean absolute deviation of this data set is 0.2

The dataset is given as

0.7, 1.4, 3 and 2

Calculate the mean using

m(x) = Sum/Count

So, we have

m(x) = (0.7 + 1.4 + 3 + 2)/4

Evaluate

m(x) = 1.775

The mean absolute deviation is calculated as

Deviation = 1/n∑|(x - m(x))|

So, we have

Deviation = 1/4 * (|0.7 - 1.775| + |1.4 - 1.775| + |3 - 1.775| + |2 - 1.775|)

This gives

Deviation = 1/4 * (-1.075 + 0.375 + 1.225 + 0.225)

Evaluate

Deviation = 0.1875

Approximate

Deviation = 0.2

Hence, the mean absolute deviation of this data set is 0.2

Read more about mean absolute deviation at

https://brainly.com/question/16586775

#SPJ1

The truth value of the conditional statement is false, and the counterexample of this statement is corresponding angles

The conditional statement is given as:

If two angles are congruent, then they are vertical angles.

The above statement is false because not all congruent angles are vertical angles

A counterexample of this statement is a corresponding angle

i.e. corresponding angles are congruent angles, but they are not vertical angles

Hence, the truth value of the conditional statement is false, and the counterexample of this statement is a corresponding angle

Read more about counterexample at

https://brainly.com/question/16660863

#SPJ1

Answer:

Algebraic Expressions- An algebraic expression (or) a variable expression is a combination of terms by the operations such as addition, subtraction, multiplication, division, etc. For example, let us have a look at the expression 2x + 4. Thus, we can say that 2x + 4 is an example of an algebraic expression.

Here are more examples:

• 5x + 4y + 10

• 2x2y - 3xy2

• (-a + 4b)2 + 6ab

To simplify an algebraic expression, we just combine the like terms. Hence, the like variables will be combined together. Now, out of the like variables, the same powers will be combined together

Multiply the numbers

   x - 3 . 5x – 3x -12 - 4x + 18x - 7

= x – 15x - 3x – 12 – 4x + 18x – 7  

  Subtract the numbers

= x – 15x – 3x – 12 – 4x + 18x - 7

= x – 15x – 3x – 19 - 4x + 18x

  Combining the like terms

= - 2x – 19

Learn more about algebraic expressions here:

https://brainly.com/question/4344214

brainly.com/question/3927786

#SPJ9

The distance an object falls in 3 seconds is 380.16 ft.

According to the question we have been given an equation of the distance that an object falls in t seconds, which is

                       d = [tex]\frac{1}{2} g t^{2}[/tex]

where,    d = distance

               g = 84.48 ft/sec²

                t = time.

We need to find the distance an object falls in 3 seconds. That is we have to find d when t = 3 seconds

Putting the required values  in the above formula we get

      d = [tex]\frac{1}{2} (84.48) (3)^{2}[/tex]

      d = 760.32/2

      d = 380.16 ft

hence the distance an object falls in 3 seconds is 380.16 ft.

learn more about equation here: https://brainly.com/question/25678139

#SPJ9

21 is the value of function f(3) .

What is function?

f(x) = 5x + 6

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

Learn more about function

brainly.com/question/12431044

#SPJ9

Answer:

5n+6.7

or

n= -1.34

Step-by-step explanation:

For the first answer is base on writing the problem while the second is to solve it

The Second answer

5n+6.7=0

-6.7 on both side

5n= -6.7

divide by 5

n= -6.7/5

if you want the answer to be in decimal than your answer is -1.34

But if you want your answer to be a faction than it -6.7/5

hope this help

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

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 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.

Read more about Inductive and Deductive Reasoning at; https://brainly.com/question/860494

#SPJ1

The probability of a given event gives a result of 0.00037. It is generated by applying the basic concepts of probability to the assigned problem.

What is probability?

Probability depicts the number of possibilities of how many times an event can occur. The probability of happening of an event invariably lies between 0 and 1. For a sure event, it is always 1. Its formula is given as P(E) = No. of favourable outcomes / Total no. of outcomes

Calculation of finding the probability according to the conditions specified

The entire number of cards in a standard deck = 52

Total number of favourable outcomes = 1

The probability of selecting two cards is given by P(E1) which is equal to 1 / 52

P(E1) = 1 / 52

Another card is selected without replacing the first card, so the total number of cards in the deck becomes 51. The probability of selecting a card from these 51 cards is given by P(E) i.e. (1 / 52) × (1 / 51)

P(E) = 1 / 2652

P(E) = 0.00037

Hence, the required probability is given by 0.00037.

To know more about the probability, visit here:

https://brainly.com/question/13604758

#SPJ4

Answer:

54,427

here's your answer

Answer:

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

Considering the definition of volume and volume of a cube, the edge length of the fish tank is 6 inches.

All matter occupies a space that can vary depending on its size. This space can be defined by volume, which is defined as the extension of an object in its three dimensions. That is, the volume corresponds to the measure of the space that a body occupies.

The cube is a polyhedron or three-dimensional geometric figure, with six equal sides, each of which is a regular polygon, that is, a square. In other words, a cube is a body made up of six faces that are square.

The volume of a cube is equal to the measure of its side to the cube:

Volume = side x side x side = side³

In this case, you know that:

Replacing in the definition of volume of a cube:

216 cubic inches = side³

Solving:

∛216 cubic inches= side

6 inches= side

Finally, the edge length of the fish tank is 6 inches.

Learn more about volume:

https://brainly.com/question/27233356

#SPJ1

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