Question

if x varies inversely as y and directly as z^(2), then which one is correct?

Answer 1

A. \[\frac{ x }{ yz ^{2} }\] is a constant.
B. \[\frac{ xy }{ z ^{2} }\] is a constant.
C. \[\frac{ xz ^{2} }{ y }\] is a constant.
D. \[\frac{ z ^{2} }{ y }\] is a constant.
E. \[\frac{ 1 }{ y } +z ^{2}\] is a constant.

Answer 2

hei

Answer 3

@kryton1212

Answer 4

?

Answer 5

x is directly proportional to z^2 i.e. x= kz^2
x is inversely proportional to y i.e. x=c/y^2

combine both.

Answer 6

correction:
that'll be x= c/y

Answer 7

\[x=\frac{ k _{1} }{ y } +k _{2}z ^{2}\])

Answer 8

nopes,
combination here means to multiply.
final ans would be x is directly proportional to z^2 /y

Answer 9

D?

Answer 10

the questions asks you which among them is constant ..
x is directly proportional to z^2 /y

that means
x = c z^2/y

or
c= xy/z^2

i.e. xy/z^2 is constant.

Answer 11

ummm..

Answer 12

??

Answer 13

what do you mean?

Answer 14

leme ask you a question,
what if I ask you,
what do you understand when we say x is directly proportional to z^2 ?
and also when x is inversely proportional to y ?

Answer 15

x=kz^(2)
x=1/y

Answer 16

make that
x= c/y
some other constant "c"

Answer 17

yup

Answer 18

now,

k = x/z^2
and c= xy

combining them would imply
x = K z^2/ y
right ?
for some new constant "K"

Answer 19

xz^(2)/y ?

Answer 20

@msumner no..
x = K z^2 /y

hence xy/z^2 must be constant .

Answer 21

@kryton1212 problems?

Answer 22

how about a 3rd opinion ? @Callisto

Answer 23

got it

Answer 24

why the hell you keep on deleting your comments ?! -_- @msumner

Answer 25

haha

Answer 26

so the answer is D? I am just 14 and learning this new stuff

Answer 27

@shubhamsrg said the answer is B

Answer 28

@hartnn would you kindly help me?