2. Find the domain of the function (f/g)(x) where f (x)= x^2 – 9 and g(x)= x^2 - 4x+3

A (-infinity, infinity)
B (-infinity, 1) (1, infinity)
C (infinity, 1) (1,3) (3, infinity)
D (-infinty, -3) (-3,-1)(-1, infinity)

Answer:  108.83 yd

Step-by-step explanation:

Not sure if correct but I tried

Answer:

a = 2.5

Step-by-step explanation:

a - a = -5

-2a = -5

5 = 2a

5 by 2 = 2.5

Therefore a = 2.5.

the answer is x =  6 2/3

ok done. Thank to me :>

The first set in the list natural numbers, whole numbers, integers, rational numbers, and real numbers, the number 3406 belongs to the set of whole numbers.

The set of whole numbers includes all the natural numbers (or counting numbers) and zero. It does not include negative numbers or fractions.

In this case, the number 3406 is a positive integer and does not contain any fractional or decimal parts. Therefore, it falls under the category of whole numbers. Whole numbers are often used to represent quantities or values that cannot be divided into smaller parts, such as the number of objects or items.

To further clarify, natural numbers are the set of positive integers starting from 1 (1, 2, 3, 4, ...), while integers include both positive and negative whole numbers (-3, -2, -1, 0, 1, 2, 3, ...). Rational numbers include all numbers that can be expressed as a ratio of two integers, including fractions and terminating or repeating decimals. Real numbers encompass all rational numbers as well as irrational numbers, which cannot be expressed as a fraction or terminating decimal. Since 3406 is a positive whole number, it is correctly classified as a whole number.

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Answer:

minimum

Step-by-step explanation:

Answer:

9+3

= 12

Step-by-step explanation:

9 +3 +

10

11

12

Answer:

45 songs in one year (12months)

Step-by-step explanation:

in one year she will have the following

12 x 3 = 36

+ 9 given

36+9 = 45 songs in one year

if it was decreasing to 11 months or 10 months etc

Then we use this formula

Birthday + (Amount monthly x No of month)

9 + (3 x 11) = 42 in 11 months

or 9 + (3 x 10) = 39 in 10 months

Answer:

y=10

Step-by-step explanation:

Answer:

y = ± 10

Step-by-step explanation:

The absolute value function always gives a positive value, that is

| - a | = | a | = a

Given

| y | + 8 = 18 ( subtract 8 from both sides )

| y | = 10 , then

y = 10 or y = - 10

The correct answer is 2 (C) - 2 days is the total slack for activity F. To determine the total slack for activity F, we need to calculate the slack for each activity in the network. Slack refers to the amount of time an activity can be delayed without affecting the project completion time.

1. First, let's draw the network using the information provided:
  - A is the start node and G is the stop node.
  - Activity A has a duration of 5 days and has no predecessor.
  - Activities B, C, and D have durations of 8, 7, and 6 days respectively, and their predecessors are A.
  - Activity E has a duration of 9 days and its predecessors are B, C, and D.
  - Activity F has a duration of 10 days and its predecessors are B, C, and D.
  - Activity G has a duration of 5 days and its predecessors are E and F.

                 A
                /|\
               / | \
              /  |  \
             B   C   D
              \  |  /
               \ | /
                \|/
                 E
                 |
                 F
                 |
                 G

2. Now, let's calculate the slack for each activity:
  - Slack is calculated by subtracting the earliest start time of an activity from the latest start time without delaying the project completion time.
  - The earliest start time for activity F is 17 days.
  - The latest start time for activity F is 19 days (project completion time is 22 days).
  - Total slack for activity F = latest start time - earliest start time = 19 - 17 = 2 days.

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The solution to the system of equations is (x, y) = (3, 9).

We can solve the system of equations using the elimination method, which involves adding or subtracting the equations to eliminate one of the variables.

In this case, we can add the two equations to eliminate x:

-3x + 2y = 9

x + y = 12

So, we have

-3x + 2y = 9

3x + 3y = 36

Add the equations

5y = 45

Dividing both sides by 5, we get:

y = 9

Now we can substitute y = 9 into either equation to solve for x. Let's use the second equation:

x + 9 = 12

So, we have

x = 3

Therefore, the solution to the system of equations is (x, y) = (3, 9).

So the correct answer is (c) (3, 9).

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Answer:

464m^2

Step-by-step explanation:

Given data

Dimension of the regular playground

Length= 28m

Width= 15 m

We want to extend both sides by 1 m

Length= 28+1= 29m

Width= 15+1= 16m

Hence the area

Area=Length*Width

Area= 29*16

Area= 464m^2

The Area is 464m^2

The amount of yellow paint Curt and Melanie should use is 0.45 quarts so that they can make 1.5 quarts bucket of seafoam green paint.We can use per cent equation.

Given that to make 1.5 quarts bucket of seafoam green paint Curt and Melanie have to mix 70 parts blue paint and 30 parts yellow paint.If 100 percent represent total paint then for 1.5 quarts we have to find the proportion of yellow paint.Let it be x.

30%  / 100% =30 / 100 = x / 1.5 quarts.

We can reduce the equation further,

0.3  = x / 1.5.

0.3 * 1.5 = x

x = 0.45

We can also find blue paint proportion similar by substituting 30 per cent to 70 per cent.

As a result of our calculation, we found the amount of yellow paint to be 0.45 quarts.

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Answer:

sorry i'like to help ypu but i dont know the answer

The least positive integer $n$ such that no matter how $10^n$ is expressed as the product of two positive integers, at least one of these two integers contains the digit 0, is 7.

Latex formula for equation.

f(x) = x^2 + 2x + 1

Let's consider the factorization of $10^n$ for increasing values of $n$.

For $n = 1$, $10^1 = 10$ which contains the digit 0.

For $n = 2$, $10^2 = 100$ which contains the digit 0.

For $n = 3$, $10^3 = 1000$ which contains the digit 0.

For $n = 4$, $10^4 = 10,000$ which contains the digit 0.

For $n = 5$, $10^5 = 100,000$ which contains the digit 0.

For $n = 6$, $10^6 = 1,000,000$ which contains the digit 0.

For $n = 7$, $10^7 = 10,000,000$ which contains no digit 0.

Therefore, the least positive integer $n$ is 7.

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Answer:

11x = 19

Step-by-step explanation

5x + 2y = 5  and 3x - y = 14

5x + 2(3x -14) =5 and y = 3x -14

5x + 6x -  28 = 5 and  y = 3x -14

11x = 33  and y = 3x -14

x = 3 and y = 3 x 3 -14 = -5

11x =19 <=> x = 11/19 (F)

11x = 33 <=> x= 3 (T)

11y = -55 <=> x= -5 (T)

The volume of the biggest possible cube inside the right cylinder is approximately 1193.243 cubic centimeters.

Cubes are hexahedrons with one same side length and only right angles. In this case, the cube is constrained by cross area of right cylinder in accordance to image attached below. The maximum possible volume for a cube inside the cylinder is described by following expression:

V = (√2 / 2)³ · R³

Where:

If we know that R = 15 cm, then the volume of biggest possible cube is:

V = (√2 / 2)³ · (15 cm)³

V ≈ 1193.243 cm³

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Answer:

The first option so \((3\frac{1}{2}, -4)\) is the answer

Skills required: Graphing Knowledge, Systems Knowledge

Step-by-step explanation:

1) The solution to any system is the intersection between any 2 lines or functions. In this case, we are given two functions on a graph, and need to find the solution to them. That is the intersection.

2) We can see the intersection and see that the x-axis value for the coordinate point is around 3 1/2 (or 3.5 -- whatever you prefer), and that the y-axis value for the point is -4.

Therefore, the coordinate point is: \((3\frac{1}{2}, -4)\) since this answer best matches the coordinate values of that point.

==================================================================

Select the first option, have a nice day! :D

Step-by-step explanation:

125 -30 = 95..

125 - 60 = 65

Answer:

The answer is 24%

Step-by-step explanation:

Your welcome have a nice day!

Answer:

A. Just use your calculator

Step-by-step explanation:

Answer: B 89 degrees

Step-by-step explanation:

The triangle angle sum theorem states that the angles of a triangle sum to 180 degrees. Since we know two of the angle measures we can find the missing angle. 60 + 31 = 91 degrees.

180 - 91 = 89 degrees

Answer:

If i'm correct, the answer is (B) 89

Step-by-step explanation:

Hope this helps.

Answer: 112.5

Step-by-step explanation: When line AB and CD intersect at point E, angle AEC equals BED so you set them equal to each other and find what x is. 5x -20 = x + 50, solving for x, which gives you 17.5. Finding x will tell you what AEC and BED by plugging it in which is 67.5. Angle BED and BEC are supplementary angles which adds up to 180 degrees. So to find angle CEB, subtract 67.5 from 180 and you get 112.5 degrees.

The probability of choosing an integer at random from the first 100 positive integers that is exactly divisible by 7 is 7/50.

The probability of choosing an integer from the first 100 positive integers that is exactly divisible by 7 can be calculated by determining the number of integers in the range that are divisible by 7 and dividing it by the total number of integers in the range.

To find the number of integers between 1 and 100 that are divisible by 7, we need to find the largest multiple of 7 that is less than or equal to 100.

By dividing 100 by 7, we get 14 with a remainder of 2. This means that the largest multiple of 7 less than or equal to 100 is 14 * 7 = 98.

So, there are 14 integers between 1 and 100 that are divisible by 7 (7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98).

Now, we can calculate the probability by dividing the number of integers divisible by 7 (14) by the total number of integers in the range (100).

Probability = Number of favorable outcomes / Total number of outcomes

Probability = 14 / 100

Simplifying the fraction, we get:

Probability = 7 / 50

Therefore, the probability of choosing an integer at random from the first 100 positive integers that is exactly divisible by 7 is 7/50.

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Answer:

Last option, y = -4/3x - 2/3

Step-by-step explanation:

The equation of the line is written in the slope-intercept form,

y = mx + b

where m represents the slope

number that describes both the direction and the steepness of the line

slope = rise/run

           b represents the y-intercept  

point where crosses the y-axis

Given:

Let change 3x - 4y = 2 into y = mx + b form,

3x - 4y = 2

subtract 3x from both sides,

3x - 3x - 4y = 2 - 3x

- 4y = 2 - 3x

divided both sides by -4 to get y alone,

- 4y / -4 = 2 - 3x / - 4

  y = (3x / 4) - (2 / 4)

→ y = (3/4)x - (1/2)

Slope of perpendicular lines to another is the negative reciprocal

(ex. slope of 2 becomes -1/2)

So for y = (3/4)x - (1/2) the slope will be,

slope = -4/3

We need to find b (y-intercept),

we know it passes through point (1, - 2)

a point is (x, y) format

y = -(4/3)x + b

plug in the point (1, - 2),

-2 = -4/3(1) + b

-2 = -4/3 + b

add 4/3 to both sides to get b alone,

-2 + 4/3 = -4/3 + 4/3 + b

-2/3 = b

the perpendicular line equation is,

y = -4/3x - 2/3

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The distribution in this experiment follows a binomial distribution. A binomial distribution is used to model situations where there are two possible outcomes, often referred to as success and failure, and each trial is independent of the others.

In this case, the two possible outcomes are an applicant being fluent in both English and Spanish (success) or not being fluent in both languages (failure).

The conditions for a binomial distribution are met in this experiment because the applicants are selected randomly from the pool, each applicant's language fluency is independent of the others, and the probability of success (being fluent in both languages) remains constant for each trial.

The binomial distribution is characterized by two parameters: the number of trials (in this case, the number of applicants interviewed sequentially) and the probability of success (the proportion of applicants who are fluent in both languages). By knowing these parameters, we can determine the probability of different outcomes, such as the number of applicants who are fluent in both languages out of the total number of applicants interviewed.

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Answer:

1. 16   2. Yes

Step-by-step explanation:

The triangle in the graph as its angle bisectors drawn to it which means the intersecting point is the incenter or center of the inscribed circle. And because the radius of a circle is the same everywhere on the circle...

2x-7=x+8

x=15

the diameter is double the radius...

(15+8)*2=23*2=46 Done!

If you have any further question about this please ask in the comment and I would really appreciate it if you can give me brainlliest!

The diameter of the circle that is inscribed in the given triangle is obtained as 46 units.

A linear equation can be solved by equating the LHS and RHS of the equation following some basic rules such as by adding or subtracting the same numbers on both sides and similarly, doing division and multiplication with the same numbers.

As per the property of inscribed circle, the following equation can be written as,

2x - 7 = x + 8

⇒ x = 8 + 7

⇒ x = 15

In the given diagram the radius of the circle is 2x - 7.

Then, the diameter is 2(2x - 7).

Plug x = 15 to obtain,

Diameter = 2(2 × 15 - 7)

⇒ 46

Hence, the diameter of the inscribed circle can be obtained as 46 units.

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We have:  x ×  \(\frac{3}{4}\) ÷ \(\frac{3}{5}\) = x ×  \(\frac{3}{4}\)  ×  \(\frac{5}{3}\) =  x × \(\frac{5}{4}\) = x ÷ \(\frac{4}{5}\)

ANSWER:  E. 4/5

Ok done. Thank to me :>

Answer:

44 Minutes

Step-by-step explanation:

If he takes for minutes per lap than some easy multiplication will do the job to find out how long 11 laps will take.

If he keeps running a lap in 4 minutes for every lap up, until the 11th lap, that means we multiply 11 times 4.

Another example being, if I run 1 lap in 1 minute then if I ran 2 laps it would take me 2 minutes, because 1 times 2 is 2, and so fourth for each lap. So if I ran 11 laps it would take me 11 minutes because 11 times 1 is 11.

The following equation could be used to represent a function w:

= w(x)=v(x-7)+7

According to the information provided,

The point of discontinuity of rational functions is at x=7.

When a rational function has a point of discontinuity, it generally occurs when,

q(x) = r(x-a), where x = a

In this case, we must pay attention to the following relationship, which is a combination of a parent rational function and a vertical translation:, (2)

If we know that a=7 and k=7.

The equation which can represent w is as follows,

w(x) = v ( x-7 ) + 7

A rational function can be represented as a polynomial split by another polynomial. Because polynomials are defined everywhere, the domain of a rational function is the set of all numbers except the zeros in the denominator.

Example: x = f(x) (x - 3). The denominator, x = 3, has only one zero. Rational functions are no longer defined when the denominator is zero.

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