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
Alina [70]
3 years ago
11

A graph has time (years) on the x-axis and height (inches) on the y-axis. A line goes through points (2, 5) and (4, 10).

Mathematics
1 answer:
Sergeu [11.5K]3 years ago
4 0

Answer:

2.5 inches per year

Step-by-step explanation:

We can deduce the rate of change by obtaining the slope or gradient of thw points given :

Gradient = Rise / Run.

Point A (2, 5) ; point B (4, 10)

x1 = 2 ; y1 = 5 ;x2 = 4 ; y2 = 10

Rise = y2 - y1 = 10 - 5 = 5

Run = x2 - x1 = 4 - 2 = 2

Rate of change = Gradient = 5 /2 = 2.5

Which is 2.5 inches per year

You might be interested in
Sum of exactly two terms that is equivalent to 3(6x + 9y).
Ronch [10]

Answer:

18x+27y

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
What are the roots of f(x) = x2 – 48? –48 and 48 –24 and 24 Negative 8 StartRoot 3 EndRoot and 8 StartRoot 3 EndRoot Negative 4
Ivanshal [37]

Answer:

x=4\sqrt{3},\:x=-4\sqrt{3} are the roots.

Step-by-step explanation:

x=4\sqrt{3},\:x=-4\sqrt{3}

Considering the expression

x^2\:-\:48

Solving

x^2-48=0

x^2-48+48=0+48

x^2=48

\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}

x=\sqrt{48},\:x=-\sqrt{48}

Solving

x=\sqrt{48}

  = \sqrt{2^4\cdot \:3}

  \mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b}

  = \sqrt{3}\sqrt{2^4}

  \mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a^m}=a^{\frac{m}{n}}

  \sqrt{2^4}=2^{\frac{4}{2}}=2^2

  =2^2\sqrt{3}

  =4\sqrt{3}

So,

x=4\sqrt{3}

Similarly,

x=-\sqrt{48}=-4\sqrt{3}

Therefore, x=4\sqrt{3},\:x=-4\sqrt{3} are the roots.

Keywords: roots, expression

Learn more about roots from brainly.com/question/3731376

#learnwithBrainly

9 0
3 years ago
Read 2 more answers
BRAINLIEST ASAP! PLEASE HELP ME :)
jeyben [28]

<em>See above information</em>

I am joyous to assist you anytime.

7 0
3 years ago
IND 11. Kim is arranging magazines on shelves. She has 18 sports magazines and 24 news magazines. Each shelf will have the same
Lisa [10]

Find the multiples of each number:

18: 1 , 2 , 3 , 6 , 9 , 18

24: 1, 2, 3, 4, 6 , 8, 12, 24

Now find the matching numbers:

1 , 2, 3 , 6

7 0
3 years ago
Pleasssseeee hellllpllllllppppp???????
olchik [2.2K]

Answer:

f(x) and g(x) are inverse functions

Step-by-step explanation:

In the two functions f(x) and g(x) if, f(g(x)) = g(f(x)) = x, then

f(x) and g(x) are inverse functions

Let us use this rule to solve the question

∵ f(x) = 3x²

∵ g(x) = \sqrt{\frac{x}{3}}

→ Find f(g(x)) by substitute x in f(x) by g(x)

∴ f(g(x)) = 3(\sqrt{\frac{x}{3}})²

→ Cancel the square root with power 2

∴ f(g(x)) = 3(\frac{x}{3})

→ Cancel the 3 up with the 3 down

∴ f(g(x)) = x

→ Find g(f(x)) by substitute x in g(x) by f(x)

∴ g(f(x)) = \sqrt{\frac{3x^{2}}{3}}

→ Cancel the 3 up with the 3 down

∴ g(f(x)) = \sqrt{x^{2}}

→ Cancel the square root with power 2

∴ g(f(x)) = x

∵ f(g(x)) = g(f(x)) = x

→ By using the rule above

∴ f(x) and g(x) are inverse functions

5 0
2 years ago
Other questions:
  • What is the solution to the system of equations below? 3x-2y=7 and -3x+5y=5
    7·1 answer
  • What is the circumference of the following circle? if r= 4
    11·1 answer
  • Marshall took $36.75 to a fair. Each ticket into the fair costs x dollars. Marshall bought 3 tickets. Which expression represent
    5·2 answers
  • 4(-2)squared+8(-2)+3(-2)+6 answer
    10·1 answer
  • What is 1,632 in word form?
    7·2 answers
  • What is 5,183.6 X 0.0016 =
    11·1 answer
  • Given: I is the midpoint of ME and SL
    8·2 answers
  • Find the surface area!! Geometry!! Pls help!!
    15·2 answers
  • Which expression is equivalent to 8f+5f?
    8·1 answer
  • Ming argues that the length of a will be half of the measure of the length of 6 since 45° is half the measure of 90°. Charlene a
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!