Giving the !

which option bests describes the relationship: h(x) =1/2x2?

quadratic variation

direct linear variation

inverse variation

explain how you got your answer to question #2 using 1-2 complete sentences

which option bests describes the relationship: xy = 12?

direct linear variation

quadratic variation

inverse variation

explain how you got your answer to question #4 using 1-2 complete sentences.

the length, g, of a cello string varies inversely as the frequency, f, of its vibrations (cycles per second). suppose it is known that an 18-inch-long cello string vibrates 300 cycles per second.

write an inverse variation equation for the situation above.

then, show how to find the frequency of a 15-inch-long cello string.

quadratic variation

inverse variation

frequency = 360  

Step-by-step explanation:

Here in h(x), we have x^2. x^2 always represents quadratic

x^2 at the top. so its is a quadratic variation

Divide both sides by x

so

y is inversely proportional to x

so its inverse variation

length varies inversely as frequency, the equation is

18-inch-long cello string vibrates 300 cycles per second.

g=18 and f=300, solve for k

5400=k

length g= 15

multiply by f on both sides and divide both sides by 15

f=360

frequency = 360

a) 7x=7

step-by-step explanation:

hi there!

first we need to find out how much they are adding to each number to make the next number.

ex: 4 + 4 = 8, 8 + 8 = 16, and so on.

so continuing with 32,

32 + 32 = 64

64 + 64 = 128

128 + 128 = 256

256 + 256 = 512

4, 8, 16, 32, 64, 128, 256, 512

the 8th term of the sequence will be 512

hope this ! ~