Suppose that h(x) varies inversely with x and h(x) = 50 when x = 0.25. what is h(x) when x = 2? a. 0.5 b. 6.25 c. 12.5 d. 24

we know that

A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form or

so

Step 1

Find the value of k

In this problem  we have

 for

Substitute

The equation of the inverse variation is equal to

Step 2

Find the value of H(x) for

Substitute in the formula

therefore

the answer is the option B

definition: a circle is the  set of all points in a plane that are equidistant  from a given  point  called the center of the circle. we use the symbol ⊙ to represent a circle. the a line segment from the center of the circle to  any point  on the circle is a radius of the circle.

step-by-step explanation:

i googled it and this is what i got i don't know how it is. sorry.

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1