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
Virty [35]
3 years ago
6

Constant of variation

Mathematics
1 answer:
Zinaida [17]3 years ago
8 0

Answer:

The constant of variation in a direct variation is the constant (unchanged) ratio of two variable quantities.

Step-by-step explanation:

You might be interested in
Which angle is a reflex angle? A. An angle measuring 105 . An angle measuring 185 degrees . An angle measuring 65 D. An angle me
son4ous [18]

Answer:

an angle greater than 180° and less than 360°.

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=%5Csf%20%5Clim_%7Bx%20%5Cto%20%5Cinfty%7D%20%5Ccfrac%7B%5Csqrt%7Bx-1%7D-2x%20%7D%7Bx-7%7D" id=
BARSIC [14]
<h3>Answer:  -2</h3>

======================================================

Work Shown:

\displaystyle L = \lim_{x\to\infty} \frac{ \sqrt{x-1}-2x }{ x-7 }\\\\\\\displaystyle L = \lim_{x\to\infty} \frac{ \frac{1}{x}\left(\sqrt{x-1}-2x\right) }{ \frac{1}{x}\left(x-7\right) }\\\\\\\displaystyle L = \lim_{x\to\infty} \frac{ \frac{1}{x}*\sqrt{x-1}-\frac{1}{x}*2x }{ \frac{1}{x}*x-\frac{1}{x}*7 }\\\\\\

\displaystyle L = \lim_{x\to\infty} \frac{ \sqrt{\frac{1}{x^2}}*\sqrt{x-1}-2 }{ 1-\frac{7}{x} }\\\\\\\displaystyle L = \lim_{x\to\infty} \frac{ \sqrt{\frac{1}{x^2}*(x-1)}-2 }{ 1-\frac{7}{x} }\\\\\\\displaystyle L = \lim_{x\to\infty} \frac{ \sqrt{\frac{1}{x}-\frac{1}{x^2}}-2 }{ 1-\frac{7}{x} }\\\\\\\displaystyle L = \frac{ \sqrt{0-0}-2 }{ 1-0 }\\\\\\\displaystyle L = \frac{-2}{1}\\\\\\\displaystyle L = -2\\\\\\

-------------------

Explanation:

In the second step, I multiplied top and bottom by 1/x. This divides every term by x. Doing this leaves us with various inner fractions that have the variable in the denominator. Those inner fractions approach 0 as x approaches infinity.

I'm using the rule that

\displaystyle \lim_{x\to\infty} \frac{1}{x^k} = 0\\\\\\

where k is some positive real number constant.

Using that rule will simplify the expression greatly to leave us with -2/1 or simply -2 as the answer.

In a sense, the leading terms of the numerator and denominator are -2x and x respectively. They are the largest terms for each, so to speak. As x gets larger, the influence that -2x and x have will greatly diminish the influence of the other terms.

This effectively means,

\displaystyle L = \lim_{x\to\infty} \frac{ \sqrt{x-1}-2x }{ x-7 } = \lim_{x\to\infty} \frac{ -2x }{ x} = -2\\\\\\

I recommend making a table of values to see what's going on. Or you can graph the given function to see that it slowly approaches y = -2. Keep in mind that it won't actually reach y = -2 itself.

5 0
3 years ago
f(x) = 32g(x) = V48xFind (f.g)(x). Assume x20.O A. (f.g)(x) = 72.O B. (f.g)(x) = V51xO c. (f.g)(x) = 12/xO D. (fºg)(x) = 12xSUBM
QveST [7]

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

f(x) = √3x

g(x) = √48x

(f . g)(x) = ?

Step 02:

(f . g)(x) :

\text{          (f.g)(x) = }\sqrt[]{3(\sqrt[]{48x)}}(f.g)(x)\text{ = }\sqrt[]{3(48x)^{\frac{1}{2}}}\text{ }

(f.g)(x) = 12 √ x

The answer is:

(f.g)(x) = 12 √ x

3 0
1 year ago
A class of 30 students has 12 girls. What is the ratio to boys?
miv72 [106K]
I think 18?????????
6 0
3 years ago
Read 2 more answers
If you make 75 cents in an hour, how many dollars will you make in a day?
Anettt [7]
.75 x 24 hours in a day gives you = 18 dollars .
3 0
3 years ago
Other questions:
  • The gas tank I’ll be riding mower holds 5 L of gas how many 5 L gas tanks can you feel from a 20 L gas tank
    7·1 answer
  • Katie Ward is building a children's playhouse
    6·1 answer
  • How do I make this X variable positive? <br>Thanks
    13·1 answer
  • A LINE SEGMENT IS 5 INCHES MORE THAN FOUR TIMES THE LENGTH OF ANOTHER. THE DIFFERENCE IN THEIR LENGTHS IS 35 INCHES. HOW LONG AR
    13·1 answer
  • 3(x + 3) + 10
    10·2 answers
  • Calculate the slope of a line with a run of 3 and a rise of 9
    12·1 answer
  • Solve for the value of n.<br><br>pls help I will give brainliest + 34 points!
    11·2 answers
  • Suppose that Jason recently landed job offers at two companies. Company A reports an average salary of $51,500 with a standard d
    6·1 answer
  • SOMEONE PLS HELP :( I WILL CHOOSE BRAINLIEST!!!
    15·1 answer
  • Let's find 1/4+1/12
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!