1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
RSB [31]
4 years ago
5

In 1980, the number of high school dropouts in a country was 5217 thousand. By 2008, this number had decreased to 3120 thousand.

Find and interpret the average rate of change
per year in the number of high school dropouts.
Mathematics
1 answer:
Veseljchak [2.6K]4 years ago
8 0

Answer:

74893 students per year

Step-by-step explanation:

The Average rate of change is calculated as

= Difference in number of students / Difference in years

= 3120 thousand - 5217 thousands/ 2008 - 1980

= (3120000 - 5217000)/(2008 - 1980)

= -2097000/28

= -74892.857143 per year

Therefore, the average rate of change

per year in the number of high school dropouts is approximately 74893 students per year

You might be interested in
Simplify<br> CLEAR Step By Step Explanation Please. <br> Will Mark Brainliest
siniylev [52]

Answer:

1/x+5

Step-by-step explanation:

1. Rewrite 3x as a difference

x-2/x^2 + 5x-2 - 10

2. Factor out x from the equation, then factor out -2.

x-2/ x+(x+5) - 2(x+5)

3. Factor out x+5 from the expression

x-2/ (x+5)(x-2)

4. Reduce the fraction with x-2

x-2 / (x+5) x-2

1/x+5

8 0
3 years ago
Find the area of the iscoseles triangle first answer=brainliest
blsea [12.9K]

Answer:

60cm^{2}

Step-by-step explanation:

so first we need to find the height so by splitting the isosceles triangle into two right-angled triangles and then applying Pythagoras' Theorem to one of them.

h^{2} =13^{2} -5^{2}

h^{2} =169-25

h^{2} =144

h=\sqrt{144}

h=12

We now know the height of the triangle and can use this to go back and find the area of the isosceles triangle.

area of triangle = \frac{1}{2} x base x height

area of triangle = \frac{1}{2} x 10 x 12

area of triangle = 60

5 0
3 years ago
Read 2 more answers
Given the functionf ( x ) = x^2 + 7 x + 10/ x^2 + 9 x + 20
vladimir1956 [14]

<em>x = -4 is a vertical asymptote for the function.</em>

<h2>Explanation:</h2>

The graph of y=f(x) is a vertical has an asymptote at x=a if at least one of the following statements is true:

1) \ \underset{x\rightarrow a^{-}}{lim}f(x)=\infty\\ \\ 2) \ \underset{x\rightarrow a^{-}}{lim}f(x)=-\infty \\ \\ 3) \ \underset{x\rightarrow a^{+}}{lim}f(x)=\infty \\ \\ 4) \ \underset{x\rightarrow a^{+}}{lim}f(x)=\infty

The function is:

f(x)=\frac{x^2+7x+10}{x^2+9x+20}

First of all, let't factor out:

f(x)=\frac{x^2+5x+2x+10}{x^2+5x+4x+20} \\ \\ f(x)=\frac{x(x+5)+2(x+5)}{x(x+5)+4(x+5)} \\ \\ f(x)=\frac{(x+5)(x+2)}{(x+5)(x+4)} \\ \\ f(x)=\frac{(x+2)}{(x+4)}, \ x\neq  5

From here:

\bullet \ When \ x \ approaches \ -4 \ on \ the \ right: \\ \\ \underset{x\rightarrow -4^{+}}{lim}\frac{(x+2)}{(x+4)}=? \\ \\ \underset{x\rightarrow -4^{+}}{lim}\frac{(-4^{+}+2)}{(-4^{+}+4)} \\ \\ \\ The \ numerator \ is \ negative \ and \ the \ denominator \\ is \ a \ small \ positive \ number. \ So: \\ \\ \underset{x\rightarrow -4^{+}}{lim}\frac{(x+2)}{(x+4)}=-\infty

\bullet \ When \ x \ approaches \ -4 \ on \ the \ left: \\ \\ \underset{x\rightarrow -4^{-}}{lim}\frac{(x+2)}{(x+4)}=? \\ \\ \underset{x\rightarrow -4^{-}}{lim}\frac{(-4^{-}+2)}{(-4^{-}+4)} \\ \\ \\ The \ numerator \ is \ a \ negative \ and \ the \ denominator \\ is \ a \ small \ negative \ number \ too. \ So: \\ \\ \underset{x\rightarrow -4^{-}}{lim}\frac{(x+2)}{(x+4)}=+\infty

Accordingly:

x=-4 \ is \ a \ vertical \ asymptote \ for \\ \\ f(x)=\frac{x^2+5x+2x+10}{x^2+5x+4x+20}

<h2>Learn more:</h2>

Vertical and horizontal asymptotes: brainly.com/question/10254973

#LearnWithBrainly

5 0
3 years ago
PLS HELP !!! I NEED HELP PLS ILL APPRECIATE IT SM!
bazaltina [42]

Answer:

\frac{3}{4}

Step-by-step explanation:

ok so first you want to find a common factor. For instance, 3. So divide the numerator and denominator by 3. This will give you the fraction of \frac{3}{4}.

5 0
3 years ago
Read 2 more answers
Which of the following tables matches the graph below?
navik [9.2K]

Right answer is C

We can solve it with the formula

y=mx+b

b is the point where graphic starts

Table C shows us 0 by x, and -4 by y

So the graph starts at (0, -4 )

3 0
2 years ago
Other questions:
  • PLEASE HELP ASAP THANK YOU
    5·1 answer
  • The average distance from Mars to the sun is about one hundred forty-one million, six hundred twenty thousand miles. How is this
    7·2 answers
  • 7th grade help me please :))
    14·1 answer
  • What is the surface area of this pyramid ? Thanks ! Help please. Its super urgent.
    7·1 answer
  • What is the area? Plz show me step by step. :)
    15·1 answer
  • What are the solutions to 5x2 - x-1&lt;0?
    12·2 answers
  • The additive inverse opposite of 12 integer
    11·1 answer
  • A laundry basket has 24 socks in it. Six were navy, 10 were black, and the remaining were white, What is the probability of draw
    9·2 answers
  • (3^5)^2/3^-2 simplify
    15·1 answer
  • The line AB is shown on the grid.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!