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
valkas [14]
3 years ago
9

This graph shows a proportional relationship. What is the constant of proportionality?

Mathematics
1 answer:
allsm [11]3 years ago
4 0

Answer:

m = \frac{3}{4}

Step-by-step explanation:

Given

See attachment

Required

The constant of proportionality

Select two points on the graph

(x_1,y_1) = (0,0)

(x_2,y_2) = (4,3)

So, the constant of proportionality (k) is:

m = \frac{y_2 - y_1}{x_2 - x_1}

m = \frac{3-0}{4-0}

m = \frac{3}{4}

You might be interested in
Find 3 solutions to the equation y = −4x −1
agasfer [191]

Answer:

(0,-1)

(1,-5)

(2,-9)

Step-by-step explanation:

y = −4x −1

Let x=0

y = 0-1 = -1  (0,-1)

Let x = 1

y = -4(1) -1 = -4-1 =-5  (1,-5)

Let x = 2

y = -4(2) -1 = -8-1 =-9 (2,-9)

4 0
3 years ago
A drawer contains 6 white socks and 10 black socks. If 2 socks are chosen at random, what is the probability that they will have
SpyIntel [72]

|\Omega|=C(16,2)=\dfrac{16!}{2!14!}=\dfrac{15\cdot16}{2}=120\\|A|=C(6,2)+C(10,2)=\dfrac{6!}{2!4!}+\dfrac{10!}{2!8!}=\dfrac{5\cdot6}{2}+\dfrac{9\cdot10}{2}=15+45=60\\\\P(A)=\dfrac{60}{120}=\dfrac{1}{2}=50\%

3 0
3 years ago
Read 2 more answers
Question 5: prove that it’s =0
mamaluj [8]

Answer:

Proof in explanation.

Step-by-step explanation:

I'm going to attempt this by squeeze theorem.

We know that \cos(\frac{2}{x}) is a variable number between -1 and 1 (inclusive).

This means that -1 \le \cos(\frac{2}{x}) \le 1.

x^4 \ge 0 for all value x. So if we multiply all sides of our inequality by this, it will not effect the direction of the inequalities.

-x^4 \le x^4 \cos(\frac{2}{x}) \le x^4

By squeeze theorem, if  -x^4 \le x^4 \cos(\frac{2}{x}) \le x^4

and \lim_{x \rightarrow 0}-x^4=\lim_{x \rightarrow 0}x^4=L, then we can also conclude that \im_{x \rightarrow} x^4\cos(\frac{2}{x})=L.

So we can actually evaluate the "if" limits pretty easily since both are continuous  and exist at x=0.

\lim_{x \rightarrow 0}x^4=0^4=0

\lim_{x \rightarrow 0}-x^4=-0^4=-0=0.

We can finally conclude that \lim_{\rightarrow 0}x^4\cos(\frac{2}{x})=0 by squeeze theorem.

Some people call this sandwich theorem.

6 0
3 years ago
In parallelogram KLMN, NL=15. Identify NP. HELP PLEASE!!
adelina 88 [10]

Answer:

B

Step-by-step explanation:

Fact: The diagonals of a parallelogram bisect each other. If NL= 15 the NP = 1/2 NL

1/2 NL = 15/2 = 7.5.

NP = 7.5

Answer: NP = 7.5   B

7 0
3 years ago
Help please!!!!!!!!!!!!!!!!
labwork [276]

Answer:

D. (8,3)

Step-by-step explanation:

Factor the equation

x2-11x+24=0

To factor an equation, you want the answer to add up to the second number, so in this case, 8+3 is equal to 11, and 8 times 3 also equals 24

5 0
3 years ago
Read 2 more answers
Other questions:
  • Graham's sunflower is 2 feet tall. Katie's sunflower is 1 foot 8 inches tall. How much taller is Graham's sunflower?
    14·2 answers
  • 15 POINT QUESTION<br><br> PLEASE HELP ME WITH ALL 3 ASAPP
    11·2 answers
  • Find x when y=5 if y varies inversely as x and x=6 when y =-18
    13·1 answer
  • A car is traveling at a rate of 81 kilometers per hour. What is the car's rate in kilometers per minute? How many kilometers wil
    13·1 answer
  • How could you test if a number is divisible by 12 15 or 24
    11·1 answer
  • Suppose the length of each side of a
    9·2 answers
  • Plz help I really need help
    13·2 answers
  • Help pls will give Brainly points
    8·1 answer
  • Evaluate functions : k(6) =
    7·1 answer
  • The rate at which a certain radioactive isotope decays is given by startfraction d y over d t endfraction = negative 0.0032 y, w
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!