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3 years ago

Find the constant of variation for the quadratic variation.

1 answer:

6 0

The answer is 6. It is the second option.
y = kx^2
Use any coordinate in the set.
The missing is k, to find it, use the equation
<span>24 = k(2^)
= 4k </span>
<span>k = 6 </span>

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What is 5 times a number minus 3 is 12 ?

Rom4ik [11]

Answer:

5*x-3=12

the number is 3 because 5*3=15 and 15-3=12

8 0

3 years ago

Read 2 more answers

Given f (x) = 1/4x-3/4<br> Find f^-1

Snowcat [4.5K]

The inverse of a function f(x) is f⁻¹(x) = 4x + 3 after using the concept of the inverse of a function.

<h3>What is a function?</h3>

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function:

$\rm f(x) = \dfrac{1}{4}x-\dfrac{3}{4}$

To find the inverse of a function:

Interchange the f(x) and x

f(x) → x

x → f⁻¹(x)

$\rm x = \dfrac{1}{4}f^{-1}(x)-\dfrac{3}{4}$

Make the subject f(x);

$\rm \dfrac{1}{4}f^-^1(x)=x+\dfrac{3}{4}$

$\rm f^-^1(x)=4x+3$

Thus, the inverse of a function f(x) is f⁻¹(x) = 4x + 3 after using the concept of the inverse of a function.

Learn more about the function here:

brainly.com/question/5245372

#SPJ1

6 0

2 years ago

In 1979, zoologists estimated the number of fish in a local pond to be about

rewona [7]

Answer:

693 fish

Step-by-step explanation:

In 10 years, we can tell that the amount of fish increased by 1.833...(990 divided by 540) times. If we divide 1.833... by 10, we can find how much the pond increases by yearly. we get 0.1833... If we multiply that by 7 (because the gap between 1986 and 1979 is 7 years), we get 1.2833... So, if we multiply 540 by 1.28333..., we get 693 fish.

4 0

3 years ago

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.

sashaice [31]

Answer:

k = –10

Step-by-step explanation:

From the question given above, the following data were obtained:

f(x) = x³ – 6x² – 11x + k

Factor => x + 2

Value of K =?

Next, we shall obtained the value of x from x + 2. This is illustrated below:

x + 2 = 0

Collect like terms

x = 0 – 2

x = –2

Finally, we shall determine the value of k as illustrated below:

f(x) = x³ – 6x² – 11x + k

x = –2

Thus,

f(–2) = 0

x³ – 6x² – 11x + k = 0

(–2)³ – (–2)² – 11(–2) + k = 0

–8 – (4) + 22 + K = 0

–8 – 4 + 22 + K = 0

10 + k = 0

Collect like terms

k = 0 – 10

k = –10

Thus, the value of k is –10

7 0

3 years ago

Marlene rides her bike at a rate of 16 miles per hour. The time in hours that she rides is represented by the variable t, and th

Vesna [10]

Question is Incomplete; Complete question is given below;

Marlene rides her bike at a rate of 16 miles per hour. The time in hours that she rides is represented by the variable t, and the distance she rides is represented by the variable d. Which statements are true of the scenario? Check all that apply.

a. The independent variable, the input, is the variable d, representing distance.

b. The distance traveled depends on the amount of time Marlene rides her bike.

c. The initial value of the scenario is 16 miles per hour.

d. The equation t = d + 16 represents the scenario.

e. The function f(t) = 16t represents the scenario.

Answer:

OPTION (b) and (e) are the true statements.

Step-by-step explanation:

Given:

$t=>$ time in hours that she rides

$d=>$ distance she rides

We have to find the statements that are true of the scenario.

Solution:

$d=16t$

The equation itself is a linear equation which presents an equation's scenario and time (t) is a independent variable and distance (d) is a dependent variable.

Equation for distance according to function is $f(t)=16t$

Here, we can use graph tool, you can see the attested image below.

Function's domain is the interval⇒ [0,∞)

$t\geq0$

Function's range is the interval⇒ [0,∞)

$f(t)\geq0$

The statements which are TRUE are explained below :

b) The distance traveled depends on the amount of time Marlene rides her bike

It is true because as explained above that equation for distance according to function is $f(t)=16t$

e) The function f(t) = 16t represents the scenario.

It is true because as explained that the scenario has been represented by the function above that $f(t)=16t$

* The statement (a) is false because the variable t is the independent variable.

* The statement (c) is false because $16$ is been represented as the slope or the rate of the linear equation.

* The statement (d) is false because $t = d + 16$ donot represents the scenario.

8 0

3 years ago