Z
![\alpha x](https://tex.z-dn.net/?f=%20%5Calpha%20x)
Z=kX
When x=6, z=18,
Finding value of z,
18=k*6
k=3
Z=3X
when x=10,
Z=3*10
Z=30
Part B;
Z
![\alpha \frac{1}{x}](https://tex.z-dn.net/?f=%20%5Calpha%20%20%5Cfrac%7B1%7D%7Bx%7D%20)
z=
![\frac{a}{x}](https://tex.z-dn.net/?f=%20%5Cfrac%7Ba%7D%7Bx%7D%20)
Where x is a constant of proportionality,
when x=3, z=2
2=
![\frac{a}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7Ba%7D%7B3%7D%20)
a=3*2
a=6
When x is 13,
Z=
Answer:
Step-by-step explanation:
5p + 2(p + 4) .......because pencil cases (p) sell for 5 bucks a piece....and mechanical pencils (p + 4), sell for 2 bucks a piece. She is basically selling 4 more mechanical pencils then she is pencil cases.
Sqrt 5 because it’s an imperfect square. Fractions with integers are always rational and sqrt 9 is perfect so it is also an integer.
Answer:
f(g(x)) =
![\sqrt{8x \: - \: 13} \: + \: 9](https://tex.z-dn.net/?f=%20%5Csqrt%7B8x%20%5C%3A%20%20-%20%20%5C%3A%2013%7D%20%20%5C%3A%20%20%2B%20%20%5C%3A%209)
Step-by-step explanation:
f(x) =
![\sqrt{x} \: + \: 9](https://tex.z-dn.net/?f=%20%5Csqrt%7Bx%7D%20%20%5C%3A%20%20%2B%20%20%5C%3A%209)
g(x) = 8x - 13
f(g(x) =
![\sqrt{8x \: - 13} \: + \: 9](https://tex.z-dn.net/?f=%20%5Csqrt%7B8x%20%5C%3A%20%20-%2013%7D%20%20%5C%3A%20%20%2B%20%20%5C%3A%209)