All categories

3 years ago

Which of the following equations describes a relationship of inverse variation between input and out put ?

Mathematics

1 answer:

labwork [276]3 years ago

4 0

Answer:

option A

output = constant / input

Step-by-step explanation:

Inverse relationship between two input and output means that they both moves in opposite directions, if one increases than other decreases.

Equation to describe relationship of inverse variation between input and output will be as following

<h3> output ∝ 1 / input</h3>

to remove this sign of proportionality

<h3> output = k / input </h3>

where k is a constant

You might be interested in

What is an equation of the line that passes through the points (2,-5) and (-3,-5)?

melisa1 [442]

Answer:

y = -5

Step-by-step explanation:

yeah-ya....... right?

3 0

2 years ago

Read 2 more answers

9/20

Stella [2.4K]

<u>Question:</u>

Find the number of real number solutions for the equation. x^2 + 5x + 7 = 0

<u>Answer:</u>

The number of real solutions for the equation $x^{2}+5 x+7=0$ is zero

<u>Solution:</u>

For a Quadratic Equation of form : $a x^{2}+b x+c=0$ ---- eqn 1

The solution is $x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Now , the given Quadratic Equation is $x^{2}+5 x+7=0$ ---- eqn 2

On comparing Equation (1) and Equation(2), we get

a = 1 , b = 5 and c = 7

In $x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$ , $b^2 - 4ac$ is called the discriminant of the quadratic equation

Its value determines the nature of roots

Now, here are the rules with discriminants:

1) D > 0; there are 2 real solutions in the equation

2) D = 0; there is 1 real solution in the equation

3) D < 0; there are no real solutions in the equation

Now let solve for given equation

$D= b^2 - 4ac\\\\D = 5^2 - 4(1)(7)\\\\D = 25 - 28 \\\\D = -3$

Since -3 is less than 0, this means that there are 0 real solutions in this equation.

4 0

3 years ago

Where is the center of the largest circle that you could draw inside a given triangle? . A.the point of concurrency of the media

juin [17]

The <em><u>correct answer</u></em> is:

C.the point of concurrency of the angle bisectors of the triangle

Explanation:

The largest circle that can be drawn inside a triangle is called an inscribed circle. The center of this circle is called the incenter.

The incenter is formed by the intersection of the angle bisectors of all 3 angles in the triangle.

5 0

3 years ago

Read 2 more answers

Smsjwjwjdjsnejdususjsskneneje

Rasek [7]

Hellooo!smsmsmsmsmmss

6 0

2 years ago

given the following functions f(x) and g(x), solve (f g)(3) and select the correct answer below: f(x) = 6x 3 g(x) = x − 7 4 17 2

NeTakaya

Hello,
+++++++++++++++++++++++++++++++++++++++++
Thanks for the incorrect formula!
+++++++++++++++++++++++++++++++++++++++++
I have tested (fog)(x) ,(f*g)(x) and finally (f+g)(x)

f(x)=6x++++++++++++++++++++++++3
g(x)=x-7
(f+g)(x)=6x+3+x-7=7x-4
(f+g)(3)=7*3-4=17

Answer B
++++++++++++++++++++++++++++++++++++

3 0

2 years ago