Question

If x= y-3 and y=z^2, what is x in terms of z

Answer 1

x in terms of z means you want some equation with z equal to x

this can be by just substituting for y into the equation x=y-3

Answer 2

ok

Answer 3

so do you know what to do?

Answer 4

what does ^ that mean

Answer 5

\[x^2\]=x^2
it means to the power of

Answer 6

k so how do i get my answer

Answer 7

you know that y=z^2
y is equal to z^2

you want to solve x in terms of z

you substitute for y
x=y-3
x=(z^2)-3

does this make sense

Answer 8

yeah

Answer 9

and that's just the answer

Answer 10

oka

Answer 11

because its an equation with z that equals x

Answer 12

but the answer choices are different

Answer 13

answer choices?

Answer 14

z^-6
b. z^6
c. z^-2/3
d. z^5
e. z^3/2

Answer 15

-6?

Answer 16

no idea,
@satellite73 @panlac01 did i do something wrong?

Answer 17

@julialeigh are you sure your question wasnt
\[x=y^{-3}\]
\[y=z^2\]
instead?

Answer 18

x=y^(-3) y=z^2

Answer 19

@julialeigh please rewrite the original equation
the way you have it written, the answer isnt one of the choices the way you have it written

Answer 20

lol it must be \(y^{-3}\) right?

Answer 21

if it is x=y^-3

then substitute y
\[x=(z^2)^{-3}\]

when you find the power of the an exponent, you multiply the 2 numbers
\[x^{a^b}=x^{a*b}\]

so
\[z^{2^{-3}}=z^{2*-3}\]