4, 7 and 9 are mutually coprime, so you can use the Chinese remainder theorem.
Start with
Taken mod 4, the last two terms vanish and we're left with
We have 
, so we can multiply the first term by 3 to guarantee that we end up with 1 mod 4.
Taken mod 7, the first and last terms vanish and we're left with
which is what we want, so no adjustments needed here.
Taken mod 9, the first two terms vanish and we're left with
so we don't need to make any adjustments here, and we end up with 
.
By the Chinese remainder theorem, we find that any 
such that
is a solution to this system, i.e. 
for any integer 
, the smallest and positive of which is 149.
Step-by-step explanation and answer:
For this you just need to plug in x for y = f(1/5x)
1/5(-4) = -4/5 or -0.8
1/5(-1) = -1/5 or -0.2
1/5(0) = 0
1/5(3) = 3/5 or 0.6
1/5(6) = 6/5 or 1.2 or 1 1/5
Answer:
1.5 feet
Step-by-step explanation:
12/8 = 1.5 feet
Looks like 75%. Not sure what they're talking about for the reduce part.
Answer:
141, meaning that there will be two real solutions
Step-by-step explanation:
The discriminant of a quadratic is 
, which in this case is:
Since the discriminant is positive and not zero, there will be two real solutions to this equation. This is because when the discriminant is negative, and you take the square root of it, you get a negative number. If you take the square root of 0, you get 0, which means that there will only be one solution to the equation.
Hope this helps!
