Which represents the solution to the inequality 4x + 7(3x - 3) ≤ 9 - 5x in interval notation

Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

________________________________________________________

As described in Algebra percentage decrease in music revenue is 61.07.

What is algebra?

Algebra is a branch of mathematics that deals with the study of symbols and their relationships. It involves the use of variables, equations, and formulas to represent and solve problems. Algebra helps us to understand how different things are related and how changes in one thing will affect other related things. Algebraic equations can be used to model real-world problems and help us to make predictions about the future. Algebra is an important tool for understanding and solving problems in many different fields, such as physics, engineering, finance, and computer science.

The decrease percentage = the decrease revenue / initial revenue

The percentage decrease in music revenue is

= [(14.9 - 5.8)/ 14.9] * 100

= 61.07

Hence, as in algebra percentage decrease in music revenue is 61.07,

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Answer:

7.5

Step-by-step explanation:

The actual fraction is 15/2, which is equivlent to 7.5

Im pretty sure its infinite solutions

Answer:

0 x 4 = 0 x 9

Step-by-step explanation:

Anything times 0 is 0 so they both equal 0

Answer:

Step-by-step explanation:

Relative to the water, the boat is moving

10sin30 = 5 mph N

10cos30 = 8.66 mph E

As the water is flowing 4 mph south, the net boat north velocity is 5 - 4 = 1 mph relative to shore

So relative to shore, the boat appears to be moving

v = √(1² + 8.66²) = √76 = 8.71779... 8.7 mph

θ = arctan(1/8.66) = 6.58677... 6.6° N of E

t is -1

g ( t ) = 6t-1

g (-1) = 6(-1)-1

= -6-1 = -7

Step-by-step explanation:

please mark me as brainlest

Answer:

slope = -7

Step-by-step explanation:

Answer:

slope = -7

Step-by-step explanation:

(1, 4) and (2, -3)

Slope = y^2 - y^1 / x^2 - x^1

m = -3 - 4 / 2 - 1

m = -7 / 1

m = -7 ---------> slope of the line through (1, 4) and (2, -3)

To find out when both Bus A and Bus B will arrive at the same stop point, we need to find the time at which they will both have completed an integer number of trips.

Bus A arrives every 15 minutes, so in 1 hour (60 minutes), it will complete 4 trips (60/15=4).

Bus B arrives every 40 minutes, so in 1 hour, it will complete 1.5 trips (60/40=1.5).

To find the time at which both buses will arrive at the same stop point, we need to find the time at which they will have completed an integer number of trips. This means that we need to find the smallest multiple of 15 and 40 that is the same. This is called the least common multiple (LCM) of 15 and 40.

The LCM of 15 and 40 is 120. Therefore, both buses will arrive at the same stop point every 120 minutes or 2 hours.

To find the next time that both buses will arrive at the same stop point, we need to add 2 hours to the current time.

Answer:

-4 < x <3

Option 1

-4 < x <3

-

Answer:

A = 28

B = 2

C = 29

Step-by-step explanation:

28×2+29 = 85

28+2×29 = 86

Answer:

a. $240.03

b. $43,205.04

c. Principal = 46.29%

   Interest = 53.71%

Step-by-step explanation:

The computation is shown below:

a. For computing the monthly payment we need to apply the PMT formula i.e to be shown in the attachment below

Given that,  

Present value = $25,000

Future value or Face value = 0

RATE = 12% ÷ 12 months = 1%

NPER = 15 years × 12 months = 180 months

The formula is shown below:  

= PMT(RATE;NPER;-PV;FV;type)  

The present value come in negative  

So, after applying the above formula the monthly payment is $240.03

b. Now the total amount paid is

= Monthly payment × time period

= $240.03 × 180 months

= $43,205.04

c. Now the percentage is

For principal

= $25,000 ÷ $43,205.04 × 100

= 46.29%

And, for the interest, it is

= 100% - 46.29%

= 53.71%

Answer:

23

Step-by-step explanation:

Answer:

3:25

Step-by-step explanation:

The photo shows how it's solved.

Answer: 3:25

Step-by-step explanation:

Step 1) Convert the decimal number to a fraction by making 0.12 the numerator and 1 the denominator

0.12 = 0.12/1

Step 2) Multiply the numerator and denominator by 100 to eliminate the decimal point.
0.12 x 100

------------ = 12/100
1 x 100

Step 3) Simplify the fraction in the previous step by dividing the numerator and the denominator by the greatest common factor (GCF) of 12 and 100. (The GCF of 12 and 100 is 4.)

12 ÷ 4

---------  = 3/25  

100 ÷ 4

Step 4) Convert the fraction in the previous step to a ratio by replacing the divider line with a colon like this:  

3  

25   =  3:25

Answer:

The vertex of the function is at (–3,–16)

The graph is increasing on the interval x > –3

The graph is positive only on the intervals where x < –7 and where

x > 1.

Step-by-step explanation:

The graph of \(f(x)=(x-1)(x+7)\) has clear zeroes at \(x=1\) and \(x=-7\), showing that \(f(x) > 0\) when \(x < -7\) and \(x > 1\). To determine where the vertex is, we can complete the square:

\(f(x)=(x-1)(x+7)\\y=x^2+6x-7\\y+16=x^2+6x-7+16\\y+16=x^2+6x+9\\y+16=(x+3)^2\\y=(x+3)^2-16\)

So, we can see the vertex is (-3,-16), meaning that where \(x > -3\), the function will be increasing on that interval

The inequality has a solution set of  {-∞, 13} in order to make it equal

In mathematics, a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions. An inequality shows the relationship between two values in an algebraic expression that are not equal.

In the given question

8(n - 3) < 4(n + 7)

Expand the bracket

8n - 24 < 4n + 28

8n - 4n < 28 + 24

n < 13

The solution set to make the inequality equal is {-∞, 13}

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Answer:

(44-8) ÷3=

Step-by-step explanation:

The simplified equation is (π2 / 2) * ∫[0, ∞] (x(2x-1) * e(-x) / (Γ(x) * Γ(1 - x)) DX

a. To prove B(x+1, y) = x * B(x, y), proceed as follows.

Start with B(x+1, y) = [(x+1)! * y!] / ((x+y+2)!) (using the definition of B(x, y)).

Rewrite 1 / (x+1) to (x+y+2 - (y+1)) / (x+y+2) .

Using the formula above, express B(x+1, y) as (x+y+2) / (x+y+2) * [(x+1)! to rewrite. * y!] / ((x+y+2)!) - (y+1) / (x+y+2) * [(x+1)! * y!] / ((x+y+2) !).

Simplify the formula to (x+y+2) / (x+y+2) * B(x, y) - (y+1) / (x+y+2) * B(x, y) increase.

Simplify further to B(x, y) - (y+1) / (x+y+2) * B(x, y).

Note that B(x, y) can be expressed as (x / (x+y+1)) * B(x, y) .

Substitute this formula in the previous step to get,

x * B(x, y) - (y+1) / (x+y+2) * x * B(x, y).

x * B(x, y) - (y+1) / (x+y+2) * x * B(x, y)

= x * B(x, y)

You have now proved B(x+1, y) = x * B(x, y).

b. We wish to prove the identity Γ(2x) = ((2sin(πx))) * Γ(x) * Γ(x + 1/2).

Integrate ∫[0, ∞] (x(2x-1) * Start with dx.

Evaluating this integral using the permutation u = du is obtained.

Simplify the integral to (1/2) * Γ(x + 1/2).

Express sin(πx) as π / (Γ(x) * Γ(1 - x)).

Let the original integral be π * (2(2x-1) / π) * ∫[0, ∞] (x(2x-1) * e(-x) * (1/sin( πx) Rewrite.)) DX.

Substituting the equations,

The integral, π * (2(2x-1) / π) * ∫[0, ∞] (x(2x-1) *

We get * (π / (Γ(x) * Γ(1 - x)))) dx.

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Answer:

f(x) = x³ - 4x + 6

f'(x) = 3x² - 4

a) f'(2) = 3(2²) - 4 = 12 - 4 = 8

6 = 8(2) + b

6 = 16 + b

b = -10

y = 8x - 10

b) 3x² - 4 = 0

3x² = 4, so x = ±2/√3 = ±(2/3)√3

= ±1.1547

f(-(2/3)√3) = 9.0792

f((2/3)√3) = 2.9208

c) 3x² - 4 = 8

3x² = 12

x² = 4, so x = ±2

f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6

6 = -2(8) + b

6 = -16 + b

b = 22

y = 8x + 22

f(2) = 6

y = 8x - 10

The equation perpendicular to the tangent is y = -1/8x + 25/4

-The smallest slope on the curve is 2.92

The curve has the smallest slope at the point (1.15, 2.92)

The equations at tangent points are y = 8x + 16 and  y = 8x - 16

From the question, we have the following parameters that can be used in our computation:

y = x³ - 4x + 6

Differentiate

So, we have

f'(x) = 3x² - 4

The point is (2, 6)

So, we have

f'(2) = 3(2)² - 4

f'(2) = 8

The slope of the perpendicular line is

Slope = -1/8

So, we have

y = -1/8(x - 2) + 6

y = -1/8x + 25/4

We have

f'(x) = 3x² - 4

Set to 0

3x² - 4 = 0

Solve for x

x = √[4/3]

x = 1.15

So, we have

Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6

Smallest slope = 2.92

So, the smallest slope is 2.92 at (1.15, 2.92)

Here, we set f'(x) to 8

3x² - 4 = 8

Solve for x

x = ±2

Calculate y at x = ±2

y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)

y = (2)³ - 4(2) + 6 = 6: (2, 0)

The equations at these points are

y = 8x + 16

y = 8x - 16

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On solving the provided question, by the help of BODMAS we can say that - Subtract 22 from both sides is the answer to the given question.

BODMAS and PEDMAS are both names for it in various places. This stands for exponents, parenthesis, division, multiplication, addition, and subtraction. The BODMAS rule states that parentheses must be answered before powers or roots (that is, of), divisions, multiplications, additions, and lastly subtractions. The BODMAS rule states that the degree (52 = 25), parenthesis (2 + 4 = 6), any division or multiplication (3 x 6 (bracket response) = 18), and any addition or subtraction (18 + 25 = 43) come before any other operations.

\(f/3 +22 = 17\)

\(f/3 +22 -22 = 17 -22\) Subtracting the same value from both sides keeps the equation equal.  

Then simplify. The \(+22 and -22= 0\) They "cancel"   \(17-22 = -5\)

\(f/3 = -17 f/3\) is now isolated-- by itself-- in the equation.

If we have to solve  f, the next step we to take is to multiply on the both sides by  3.

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Based on the given information, the type of data set created using this survey is Univariate categorical.  So the answer is option D.

In this survey, the data collected represents a single variable, which is the mode of transportation to school. The variable has discrete categories such as walking, car, bus, and bike.

Each student is assigned to one of these categories, and the count of students in each category is provided. Since there is only one variable being considered (mode of transportation), it falls under the category of univariate data.

Additionally, the data is categorical in nature as it represents different transportation options, rather than numerical values.

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Complete question:

A survey of middle school students asked participants how they get to school each morning. The results of the survey are summarized

21 students walk to school

127 students ride in a car to school

105 students take the bus to school

76 students ride their bikes to school

What type of data set was created using this survey?

A. Bivariate numerical

B. Bivariate categorical

C. Univariate numerical

D. Univariate categorical

Answer:

Im not sure If your suppose to calculate the whole area but for FGH Its 9

Step-by-step explanation:

( 1 + sinx / cosx ) + ( cosx / 1 + sinx ) =

_________________________________

(1 + sinx)(1 + sinx)/cosx(1 + sinx)

+

(cosx)(cosx)/(1 + sinx)(cosx) =

_________________________________

(1 + sinx)^2 /cosx(1 + sinx)

+

(cosx)^2/cosx(1 + sinx) =

_________________________________

1 + 2sinx + sin^2 x/cosx(1 + sinx)

+

cos^2 x/cosx(1 + sinx) =

_________________________________

1 + sin^2 x + cos^2 x + 2sinx / cosx(1 + sinx) =

1 + 1 + 2sinx / cosx(1 + sinx) =

2 + 2sinx / cosx(1 + sinx) =

2(1 + sinx)/cosx(1 + sinx) =

( 1 + sinx) simplifies from the face and the denominator of the fraction

2/cosx

The approximate lateral area of the cone is equal to 200.96 cm².

Mathematically, the lateral area of a cone can be calculated by using this mathematical expression:

Lateral surface area of a cone, LSA = πrl or πr√(r^2 + h^2)

Where

Mathematically, the area of a circle can be calculated by using this formula:

Area of a circular base = πr²

16π = πr²

Radius, r = √16

Radius, r = 4 cm.

Substituting the given parameters into the lateral area of a cone formula, we have the following;

Lateral surface area of a cone, LSA = πrl = πr4(r)

Lateral surface area of a cone, LSA = 3.14 × 4 × 16

Lateral surface area of a cone, LSA = 200.96 cm².

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Answer:

201 beause you are rounding to the nearest whole number

Step-by-step explanation: