Given that y= 2* (power of x)
a) express 4*(power of x) in terms of y
b) hence, or otherwise solve
8(4*) - 9(2*) + 1 = 0

A)
y=2^x

4^x=2^(2x)=y²

solution:
y=2^x hence y²=4^x

chek:
x=5 ⇒ y=2⁵=32
4⁵=1024
y₂=32²=1024

b)
 8(4^x)-9(2^x)+1=0
8(2^(2x)-9(2^x)+1=0

2^x=t

8t²-9t+1=0
We solve the quadratic.
t₁=1/8    ⇒2^x=1/8
2^x=1/2³
2^x=2⁻³
x=-3

t₂=1  ⇒ 2^x=1  ⇒x=0

Solutions:
x=-3
x=0

The answer is 270 cars.you can do this by making a proportional relationship. for instance, 200 is the whole we are using, so on a “number line” 200 would be over 100%. now, since he sells 35% more, add 35% to 100% to get 135% on the other side of the “number line” on the bottom half, leaving the top half empty.cross multiply 200 by 135 then divide by 100 to get your answer. i hope this , if it did, , if you don’t mind, giving me brainiest! 200/100% } 200 • 135 /100 ? /135%