Answer:
8
Step-by-step explanation:
aₙ = 2ⁿ⁻¹
a₅ = 2⁴⁻¹ =2³=8
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
Answer:
y-9=(x-1)
Step-by-step explanation: the formula is y-k=m(x-h)









Therefore , the value of x = -1
Answer:
12/7
Step-by-step explanation:
To set up a ratio of "thing 1" to "thing 2", build a fraction with "thing 1" on top (numerator) and "thing 2" on the bottom (denominator).
The ratio of in-state students to out-of-state students is
and this can be simplified ("reduced") by dividing both numbers by 9 to get the fraction 12/7.