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lora16 [44]
3 years ago
5

An inverse variation function has a k value of 8. Which ordered pair is on the graph of the function? a. (0,8) b. (16,2) c.(3,24

) d.(4,2)

Mathematics
2 answers:
ra1l [238]3 years ago
6 0

The ordered pair (4 , 2) is on the graph of the function ⇒ answer d

Step-by-step explanation:

Inverse variation can represented by the equation xy = k, where k is the

constant of variation

If x increased then y decreased and vice versa

To find the answer let us do these steps

1. Find the constant of variation

2. Write the equation of variation xy = k

3. Look for the ordered pair which satisfy the equation xy = k

∵ The inverse variation function has a k value of 8

∴ The equation is xy = 8

Let us find the correct answer

∵ The 1st ordered pair is (0 , 8)

∵ 0 × 8 = 0 ⇒ ≠ 8

∴ (0 , 8) is not the answer

∵ The 2nd ordered pair is (16 , 2)

∵ 16 × 2 = 32 ⇒ ≠ 8

∴ (16 , 2) is not the answer

∵ The 3rd ordered pair is (3 , 24)

∵ 3 × 24 = 72 ⇒ ≠ 8

∴ (3 , 24) is not the answer

∵ The 4th ordered pair is (4 , 2)

∵ 4 × 2 = 8

∴ (4 , 2) is the answer

The ordered pair (4 , 2) is on the graph of the function

Learn more:

You can learn more about the variation in brainly.com/question/4786449

#LearnwithBrainly

Nataliya [291]3 years ago
4 0

Answer:

d.(4,2)

Step-by-step explanation:

An Inverse Variation is defined as having its rule

xy=k

x\neq0\:,y\neq0

And its  constant k will return the slope of an inverse variation function, in this case, a rational function:

So:

k=(0,8)\Rightarrow k=0*8=0\\k=(16,2)\Rightarrow k=16*2=32\\k=(24,3)\Rightarrow k= 24*3 \:k=72\\k (4,2)\Rightarrow k=4*2=8

xy=8\Rightarrow y=\frac{8}{x}

In this function y varies inversely in comparison to x.

You might be interested in
Simplify the square root of 40x^4
Otrada [13]

Answer:

4 = 22

Step-by-step explanation:

Factor 40 into its prime factors

          40 = 23 • 5

To simplify a square root, we extract factors which are squares, i.e., factors that are raised to an even exponent.

Factors which will be extracted are :

          4 = 22

Factors which will remain inside the root are :

          10 = 2 • 5

To complete this part of the simplification we take the squre root of the factors which are to be extracted. We do this by dividing their exponents by 2 :

          2 = 2

At the end of this step the partly simplified SQRT looks like this:

        2 • sqrt (10x4)  

Rules for simplifing variables which may be raised to a power:

  (1) variables with no exponent stay inside the radical

  (2) variables raised to power 1 or (-1) stay inside the radical

  (3) variables raised to an even exponent: Half the exponent taken out, nothing remains inside the radical. examples:

     (3.1) sqrt(x8)=x4

    (3.2) sqrt(x-6)=x-3

   (4) variables raised to an odd exponent which is  >2  or  <(-2) , examples:

     (4.1) sqrt(x5)=x2•sqrt(x)

    (4.2) sqrt(x-7)=x-3•sqrt(x-1)

Applying these rules to our case we find out that

     SQRT(x4) = x2

  sqrt (40x4) =

       2 x2 • sqrt(10)

Simplified Root :

2 x2 • sqrt(10)

6 0
2 years ago
Need Help Fast!!!!<br> Will Mark Brainlist!!!!<br> Will Rate!!!!<br> 9th Grade Honors Geometry
svetoff [14.1K]

Answer:

The Correct Answer is 4!

Step-by-step explanation:

We know on triangle 1 that 2 of the sides are 2 and 4 and there a right angle, an angle that has 90 degrees

with this we can calculate the top angle to be 26.565 which combined on both sides is equal to 90, lust you will then have to subtract 90 minus 26.565 and you will get 63.435. Now that we know than the top angle is equal to 63.435, the 2nd angle is equal to 90 degrees which by the way resembles a right angle, and that 1 side of the 3 sides is 2 we can conclude though the triangle formula that...

X=4.

That's it Hope I Helped.

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3 years ago
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