Solve the Inequality and graph the solution set.

-8-8(2x-4)>-5(4x-5)-21

Answer:

(x+1)(x-5)

Step-by-step explanation:

Answer:

Table B

Step-by-step explanation:

The table B shows possible outcomes of flipping 3 coins.

A probability experiment is a test in which we execute a series of trials to determine the likelihood of an event occurring in the future. A probability experiment's results may reveal a previously unknown truth or lead us to learn anything about the likelihood (or chance) of an occurrence occurring in the future.

Given:

If three coins are flipped then the possible outcomes are:

{ HHH,

HHT,

HTH

THH,

TTT,

TTH,

THT,

HTT}

So, there total 8 number of outcomes.

But in table 1 the number of outcomes is 5.

Thus, table B shows possible outcomes of flipping 3 coins.

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Answer:

yes

Step-by-step explanation:

4 > j ( substitute j = 1 )

4 > 1 ← is a true statement

so j = 1 is a solution to the inequality

Answer:

...

Step-by-step explanation:

1. 0.002

2. 308%

3. 2 6/10

The base price is $300 and $20 per guest, then the initial value will be equal to $300.

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.

Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.

As per the data mentioned in the question,

Base price = $300

Price per guest = $20 for up to 30 guests.

Then, the equation according to this will be,

$300 + $20(x)

Here, x is the number of guest, which is not more than 30.

Also, the initial value will be equal to the base value, which is 300.

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Answer:

10

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

because yes

The expression for the given word phrase is

46M + M² + 2 + 1/M²

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Number = M

Reciprocal of M = 1/M

Now,

46 x (M + 1/M)²

Step 1:

46M + M² + 2 + 1/M²

Thus,

The expression is 46M + M² + 2 + 1/M²

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The graph of equation is in image.

When a linear equation is graphed, it always results in a straight line because each term has an exponent of 1. This is why it is referred to as a "linear equation."

There are linear equations with one and two variables, respectively.

Given equations 2x + 3y = 5

4x - 5y = -1

for equation 1

2x + 3y = 5

x    1     -2    4

y    1      3    -1

coordinates for equation 2

4x - 5y = -1

x    1     2    -4

y    1     1.8   -3

and the intersection point of equation is (1, 1)

Hence the graph of equation is intersecting at (1, 1).

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Answer:

3.12

Step-by-step explanation:

1 number after the decimal - tenths place.

2 numbers after the decimal - hundredths place.

3 numbers after the decimal - thousandths place.

4 numbers after the decimal - ten thousandths place.

5 numbers after the decimal - hundred thousandths place.

Answer:

3.12

Step-by-step explanation:

3.122 rounds up to 3.12 because 2 is less than 5, so the number rounds down.

An equation to find the total cost of y of x rides is y = 3x.

The cost to ride 10 rides is equal to $15.

In order to write an equation that model this situation, we would assign variables to the number of tickets and the total cost respectively, and then translate the word problem into algebraic equation as follows:

Next, we would translate the word problem into an algebraic equation based on the fact that each ride requires 3 tickets and a ticket costs $1.50 as follows;

y = 3x

For the cost of 10 rides, we have:

y = 10x

When x = 1.50, the total cost is given by:

y = 10(1.50)

y = $15.

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Answer:

x = 14

Step-by-step explanation:

5(22-x)=40

5(22-14)=40

5(22)=110   5(-14)=-70

110-70=40

Answer:

14

Step-by-step explanation:

Answer:

Step-by-step explanation:

option B .

A. Correct. They factored out 2.

B. Correct. They factored out -6.

C. Incorrect. The leading coefficients don't match.

D. Incorrect. The leading coefficients don't match.

Answer:

Step-by-step explanation:

Let's use A to represent the number of adult tickets sold and C to represent the number of children tickets sold. We can set up two equations based on the information given:

The total number of tickets sold is the sum of adult and children tickets:

A + C = 487

The total proceeds from ticket sales is the product of the number of tickets and their respective prices:

47A + 29C = 17525

We can use the first equation to solve for one of the variables in terms of the other:

C = 487 - A

Substituting this expression for C into the second equation, we get:

47A + 29(487 - A) = 17525

Simplifying and solving for A:

18A + 14123 = 17525

18A = 3402

A = 189

So 189 adult tickets were sold. Using the equation C = 487 - A, we can find the number of children tickets sold:

C = 487 - 189 = 298

Therefore, 189 adult tickets and 298 children tickets were sold for the matinee.

The answer is on the picture.

Answer:is this actually a question!

Step-by-step explanation:

Answer:

63/x

63 divided by x

Step-by-step explanation:

Answer:

64

Step-by-step explanation:

1+!3245

Answer:

92 degrees

Step-by-step explanation:

Supplementary means that the angles add up to 180 degrees.

180 - 88 = 92

Answer:

\(x=-4+\sqrt{2}\)

\(x=-4-\sqrt{2}\)

Step-by-step explanation:

The quadratic formula is an equation that can be used to find the roots of a quadratic equation when one is given the equation in standard form. A quadratic equation in standard form is the following,

\(ax^2 +bx + c=0\)

The quadratic formula is the following,

\(\frac{(-a)(+-)\sqrt{(x)^2-4(b)(c)}}{2(a)}\)

Substitute in the given coefficients for the following equation,

\(2x^2 + 16x + 28 = 0\)

Substitute,

\(\frac{-16(+-)\sqrt{(16)^2-4(2)(8)}}{2(2)}\)

Simplify,

\(\frac{-16(+-)\sqrt{256-224}}{4}\\\\=\frac{-16(+-)\sqrt{32}}{4}\\\\=\frac{-16(+-)4\sqrt{2}}{4}\\\\=-4(+-)\sqrt{2}\)

The roots of the quadratic equation (\(2x^2+16x+28=0\)) are  (\(x=-4+\sqrt2\)) and (\(x=-4-\sqrt{2}\))

Exponential Growth

The growth of a given variable y with an initial value of Po can be modeled with an exponential function as follows:

Where r is the growth rate and t is the time.

In 2006 (here we assume t = 0), the number of cell phone subscribers was Po = 233 million. We know the number of subscribers increases by r = 6% every year.

a.

With the given information, we can write the exponential function. We must express the rate in decimal, thus r = 6/100 = 0.06.

Our model is expressed as:

This is the exponential model.

The number of subscribers in 2008 can be estimated with our model. The value of t is t = 2008 - 2006 = 2 years:

The estimated number of subscribers in 2008 is 262 million.

b.

It's required to find the value of t when y = 278. Substituting in the model function:

We need to solve for t. Dividing by 233:

Taking natural logarithms on both sides:

Calculating:

t = 3 years.

In 2009, the number of cell phone subscribers was about 278 million

The solution to the system of inequalities in interval notation is [-2, 1].

Based on the information provided in the image below, we have the following system of inequalities;

-12 < 3x - 6

-3 ≥ 3x - 6

By adding 6 to both sides of the equation (inequality), we have;

-12 < 3x - 6

-12 + 6 < 3x - 6 + 6

-6 < 3x

-2 < x

x > -2 (flip)

-3 ≥ 3x - 6

-3 + 6 ≥ 3x - 6 + 6

3 ≥ 3x

1 ≥ x

x ≤ 1

Therefore, the solution to the system of inequalities is given by:

-2 < x ≤ 1

In interval notation, we have [-2, 1].

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

a) The second-degree polynomial that fits the population data is: p(x) = -0.02x^2 - 2.4x + 283.

b) Using second-degree polynomial , the predicted population in 2020 to be 324 million and the population in 2030 to be 338 million.

To fit a second-degree polynomial passing through the points (0, 283), (-10, 261), and (10, 301), we can use the general form of a quadratic equation:

p(x) = ax^2 + bx + c

We can substitute the values of x and p(x) for each of the three data points, giving us three equations:

283 = a(0)^2 + b(0) + c

261 = a(-10)^2 + b(-10) + c

301 = a(10)^2 + b(10) + c

Simplifying each equation, we get:

283 = c

261 = 100a - 10b + c

301 = 100a + 10b + c

Subtracting the first equation from the second and third equations, we get:

-22 = 100a - 10b

18 = 100a + 10b

Adding these two equations, we get:

-4 = 200a

So, a = -4/200 = -0.02.

Substituting this value of a into one of the equations, we can solve for b:

261 = 100a - 10b + c

261 = -2 + 10b + 283

10b = -24

b = -2.4

Substituting the values of a, b, and c into the quadratic equation, we get:

p(x) = -0.02x^2 - 2.4x + 283

b) To predict the population in 2020, we can substitute x = 20 into this equation:

p(20) = -0.02(20)^2 - 2.4(20) + 283

p(20) = 324 million

To predict the population in 2030, we can substitute x = 30 into the same equation:

p(30) = -0.02(30)^2 - 2.4(30) + 283

p(30) = 338 million

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Answer:

10

Step-by-step explanation:

Here’s some information about what Pi (π) is:

Intro

Pi (π) is a number whose decimal digits go on forever and they don’t repeat itself. It’s in the category called irrational numbers, because you can’t rationalize pi.

History

Before pi was created, famous philosophers used tape measure to measure the ratio between the circumference and diameter of a circle. And when they did, they found out that the ratio between the circumference and diameter was roughly about 3.1. But as mankind evolved to have better tape measures and more technology they can use, they found out that the ratio between the circumference and diameter had a number that kept on going forever. It would go like 3.1415926.... and it would go on and on. So, the number pi was introduced by scientists and mathematicians found out that pi turned out to be an irrational number.

Daily Usage

Pi was turned into the symbol π so people don’t have to write the full digits of pi. But now we use pi now in our daily mathematical lives. Pi is almost in every form of mathematics, especially in geometry and trigonometry. Pi is full of new things and it really expanded our understanding of mathematics.

Pi (π) truly has an interesting and fascinating history

Hope this helps! :)

Answer:

2 2/5

Step-by-step explanation:

7 1/2 / 3 1/8

15/2 / 25/8

= 24/10 =2 4/10 = 2 2/5

Answer:

22/5

4 2/5

$4.40

Step-by-step explanation:

Answer:

4 4/10

Step-by-step explanation:

He has 5 pets in all (3 cats, 2 dogs)

Divide 22 with 5

22/5 = 4.4

He can spend $4.40, or in fraction form:

4 4/10 (Mixed fraction)

Answer:

  8

Step-by-step explanation:

You want to know the measure of segment XY if ∆XYZ ≅ ∆MNL and MN = 8.

Segment XY is named using the first two vertices listed in the name of ∆XYZ. That means the segment is the same length as the one named by the first two vertices listed in the name of congruent ∆MNL, segment MN.

Segment MN is given as 8 units long. Segment XY is congruent, so is also 8 units long.

  XY = 8 units

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Answer:

1a.p &n,q&m

1b.w&u,v&s

3a.yes

3b.yes