Part 1: Come up with and describe two scenarios: one that models a direct variation situation and one that models an inverse variation situation. Do not state explicitly which scenario is which, but provide at least four data pairs for each situation. Your classmates will have to determine which of the scenarios is a direct variation and which is an inverse variation, and the value of k for each.

Answer:

Describe the middle class of Central America. Mention jobs, homes, and education.ury

Step-by-step explanation:

The prove to show that the area of the shaded portion is 18x  - 30 is as follows: 3x² + 13x - 30 - 3x² + 5x = 18x  - 30

The area of the shaded region can be represented as follows:

area of the shaded region = area of rectangle - area of triangle

Therefore,

area of the rectangle = (x + 6)(3x - 5)

area of the rectangle = 3x² - 5x + 18x - 30

area of the rectangle = 3x² + 13x - 30

area of triangle = 1 / 2 × 2x × 3x - 5

area of triangle = 3x² - 5x

Therefore,

area of the shaded portion =  3x² + 13x - 30 - 3x² + 5x

area of the shaded portion = 18x  - 30

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Answer:

x = 6

Step-by-step explanation:

y = 3 is a horizontal line parallel to the x- axis and passing through all points with a y- coordinate of 3

A line perpendicular to this will be a vertical line parallel to the y- axis with equation

x = c ( c is the value of the x- coordinates the line passes through )

the line passes through (6, 8 ) with x- coordinate 6 , then

x = 6 ← equation of perpendicular line

Answer:

Here you go!

Step-by-step explanation:

Do tell if it still seems difficult.

:)

Answer:

1 ,2,3,4,5,6,7,9,10,11,12 is the union

Answer:

A U B = {1,2,3,4,5,6,7,9,10,11,12}

Step-by-step explanation:

Union of sets is a set containing all elements that are in A or  B.

A = {1,3,4,5,9,10,11}

B= {2,4,6,7,11,12}

A U B = {1,2,3,4,5,6,7,9,10,11,12}

The intital amount deposited was  $18485.82.

If n is the number of times the interested is compounded each year, and 'r' is the rate of compound interest annually, then the final amount after 't' years would be:

[tex]a = p(1 + \dfrac{r}{n})^{nt}[/tex]

An account has $26,000 after 15 years. The account received 2.3 percent interest compounded continuously.

A = 26000

R = 0.02.3

[tex]a = p(1 + \dfrac{r}{n})^{nt}[/tex]

[tex]26000 = p(1 + \dfrac{2.3}{100})^{15}\\\\26000 = p \times 1.4064\\\\\P= 18485.82[/tex]

Therefore, the intital amount deposited was  $18485.82.

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Answer:

480

Step-by-step explanation:

We will use the order of PEMDAS. First, everything in parenthesis must be completed. Since 6x4 is in parenthesis, we multiply it and get 24.
Since we now have 20(24). We can multiply them by each other.
A trick to do this manually is to notice that 20 is 10 x 2, meaning that in reality this equation is 10 x 2 x 24. Multiply 2 x 24 = 48, and 48 x 10 = 480.

Area of a circle: pi x r^2

49 pi = pi x r^2

49 = r^2

r = +/- 7

---In this case, the radius is a measurement, so the answer must be positive.

r = 7

Hope this helps!

Answer:

3,1

....................................

Answer:

triangle A andC are the same

Answer: hmmm, all i could say it is 2,2 function, you have to calculete the other parts yourself.

Step-by-step explanation:

Answer:

C. 9 minutes 30 seconds

Step-by-step explanation:

well you could estimate it or just add 2.5 to 6.9 and you would get pretty close to the answer

Have a good day! :)

Reason:

Choices A, C and D have repeated x values. It allows us to rule them out.

Table A has x = 6 repeating. Table C has x = 3 and x = -3 repeated. Table D has x = 4 and x = 5 show up twice each.

Whenever we have repeated x values, it indicates we do not have a function. A function is only possible when each x value goes to exactly one y value only.

Table A has the input x = 6 lead to y = 2 and y = -2 at the same time. Table C and table D are a similar story. So this is another way to rule out choices A, C and D.

Luckily table B has no repeated x values. Each x input leads to exactly one and only one y output. Therefore, table B is a function.

Side Note: the y values can repeat, but the function won't be one-to-one.

Answer:

A,B,C,J,K,M

A=B,L is parallel to K

C=J

Hope this was helpful..

Answer:

Step-by-step explanation:

x² + 1 = 0

1× x²+1=0

x=±√(−1×1)

x=±√−1 (NO REAL SOLUTION)

Answer:

congruent.

Step-by-step explanation:

each side and each angle in one polygon is paired with a side or angle in the second polygon .

hope this helps

The sound wave with a frequency of 20 waves/sec is 800 longer than the wavelength of a sound wave with a frequency of 16,000 waves/sec

From the question, we are to determine how many times longer is the first sound wave compared to the second sound water

Using the formula,

v = fλ

∴ λ = v/f

Where v is the velocity

f is the frequency

and λ is the wavelength

For the first wave

f = 20 waves/sec

Then,

λ₁ = v/20

For the second wave

f = 16,000 waves/sec

λ₂ = v/16000

Then,

The factor by which the first sound wave is longer than the second sound wave is

λ₁/ λ₂ = (v/20) ÷( v/16000)

= (v/20) × 16000/v)

= 16000/20

= 800

Hence, the sound wave with a frequency of 20 waves/sec is 800 longer than the wavelength of a sound wave with a frequency of 16,000 waves/sec

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Step-by-step explanation:

See above graph.......

The average fraction of the students in the two classes is 17/20.

A fraction is a ratio of two integers called the numerator and denominator.

Analysis:

sum of the fraction of both students in the two classes = 4/5 + 9/10 =

LCM of the denominators which are 5 and 10 is 10

  so the sum of both fractions = 8/10 + 9/10 = 17/10

The average = 17/10 /2 = 17/10 x 2 = 17/20

In conclusion, the average of the fraction of students on both classes is 17/20.

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Answer:

n = 3

Step-by-step explanation:

there are 80 people in choir

half are women , that is 40

quarter of number of women are men , that is 10

number of children = 80 - 40 - 10 = 80 - 50 = 30

number of children : number of men = 30 : 10 ( divide both parts by 10 )

children : men = 30 : 10 = 3 : 1 ← in simplest form

with n = 3

Answer:

30

Step-by-step explanation:

=> number of people in the choir = 80

=> number of women in the choir =  half the total people = 80/2 = 40

=> number of men in the choir = one quarter of the number of women =

   (1/4)*40 = 40/4 = 10

=> for the number of children,

    we subtract the sum of number of men and women from the total            

    people  = 80 - (40+10)      =        80 - 50 = 30

           number of children = 30

hope this helps :)

Estimate the number of rabbits on the farm will be 417 rabbits.

Algebra is the study of mathematical symbols, and the rule is the manipulation of those symbols.

Eva wants to estimate the number of rabbits on a farm.

On Monday, she catches 50 rabbits.

These rabbits are tagged and then released.

On Tuesday, she catches 100 rabbits.

12 of these rabbits have tags on them.

Then estimate the number of rabbits on the farm that will be

Let n be the number of total rabbits. Then we have

12n = 50 x 100

  n = 5000 / 12

  n = 416.67

  n ≅ 417

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Answer:

151,000

Step-by-step explanation:

1.14×105=119.7

151,000

Answer:

x = -4

Step-by-step explanation:

1/2x - 20 - x = 6x -3 -2x +1

-1/2x -20 = 4x -2

-1/2x -4x = -2 +20

-9/2x = 18

9/2x = -18

9x = -36

x = -4

Give brainliest please!

hope this helps :)

Answer:

D

Step-by-step explanation:

Answer:

g(-3)= 26

Step-by-step explanation:

g(x)= 3x² - 1

g(-3) means use -3 for x in the given equation.

g(-3)= 3(-3)² - 1

g(-3)= 3(9) - 1

g(-3)= 27 - 1

g(-3)= 26

Answer:

x = 2

y = -1

Step-by-step explanation:

You can add together the equations so the x term cancels out:

  -3x + 5y = -11

+ (3x + 7y = -1)

The -3x and 3x cancel out, 5y and 7y add to 12y, and -11 and -1 add to -12:

12y = -12

Divide by 12 on both sides to get

y = -1

We can substitute this value into one of the equations to solve for x:

3x + 7y = -1

3x +7(-1) = -1

3x - 7 = -1

3x = 6

x = 2

Answer:

Hi,

Step-by-step explanation:

Answer B : 51

1+4+7+10+13+16=51