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
s2008m [1.1K]
3 years ago
15

Find the constant of variation k for the direct variation x -1 0 2 5 f(x) 2 0 -4 -10

Mathematics
1 answer:
Fofino [41]3 years ago
8 0

Answer:

k = -2

Step-by-step explanation:

x     -1   0   2     5

f(x)  2   0  -4  -10

ƒ(x) = kx

Substitute a pair of values for x and ƒ(x)

-10 = k×5

Divide each side by 5

k = -2

The constant of variation k = -2.

You might be interested in
Jessie borrowed $1800 from the bank at a rate of 7.5% simple interest per year. Over the course of 4 years, how much interest di
cluponka [151]
$540
Explanation:
7.5% of 1800 is 135
135 • 4 = 540
5 0
3 years ago
The lifespan, in years, of a certain computer is exponentially distributed. The probability that its lifespan exceeds four years
kompoz [17]

Answer:

The correct answer is "0.300993e^{-0.300993x}".

Step-by-step explanation:

According to the question,

⇒ P(x>4)=0.3

We know that,

⇒ P(X > x) = e^{(-\lambda\times x)}

⇒     e^{(-\lambda\times 4)} = 0.3

∵ \lambda = 0.300993

Now,

⇒ f(x) = \lambda e^{-\lambda x}

By putting the value, we get

           =0.300993e^{-0.300993x}

3 0
3 years ago
What is the difference of 6 - 3 1/2
allsm [11]

Answer:

the answer is 2.5 or 2 1/2

hope this helps :)

4 0
3 years ago
Read 2 more answers
In order for a button to fit through its buttonhole, the hole needs to be the size of the button's diameter. What size buttonhol
Thepotemich [5.8K]
The buttonhole size needed to fit the button is 3cm.

The solution is as follows:
Solve for d when C = 9.42 cm=2πr
d = 2r
r = C/2π = 9.42 / 2π
r = <span>1.49923956393
d = 2(</span>1.49923956393) = <span>2.99847912785 or <span>3cm

</span></span>

Thank you for posting your question. I hope you found what you were after. Please feel free to ask me more.

<span> </span>

8 0
3 years ago
The factorization of x2 + 3x – 4 is modeled with algebra tiles. An algebra tile configuration. 2 tiles are in the Factor 1 spot:
arsen [322]

Answer:

The factors of x^2+3x-4 are (x-1)(x+4) ....

Step-by-step explanation:

We have to find the factors of x^2+3x-4

As we know that this is a quadratic equation.

So we have to find the roots first.

The roots are -1 and 4.

Now completing the quadratic formula using the roots we have :

x^2+4x-x-4

Make a pair of first two terms and last two terms:

(x^2+4x)-(x+4)

Now take out the common from each pair:

x(x+4)-1(x+4)

(x-1)(x+4)

Thus the factors of x^2+3x-4 are (x-1)(x+4) ....

5 0
3 years ago
Read 2 more answers
Other questions:
  • Which equation represents exponential decay?
    9·1 answer
  • What is the equation of the line from the table shown? x -1 0 1 y 6 4 2 Question 3 options: y = 2x + 2 y = 1/2 x + 2 y = 1/2 x +
    14·1 answer
  • What is the exact circumference of a circle with a diameter of 15 in.? Enter your answer in the box.
    11·1 answer
  • 1.13 Thank you! (Sorry it’s so blurry)
    14·1 answer
  • Complete the statement with &lt;, &gt;, or =.<br> 5/5 ____ 1
    5·1 answer
  • ¿cual es el 5% de 320?
    6·2 answers
  • Without sketching the graph solve -6-x&gt;10
    13·2 answers
  • I don’t know if I’m correct or not help
    6·1 answer
  • What number can go into 42 and 21
    9·2 answers
  • Five explorers plan to share them equally. How many jewels does each get.
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!