Hello:
an equation is : f(x) = a(x-4)² - 3
the point (5 , -6)in parabola : --6 = a(5-4)² --3
-6 =a -3
a =-3 is <span>the coefficient of the squared expression in the parabola equation</span>
Answer:
y = 5x
Step-by-step explanation:
Given that y is directly proportional to x then the equation relating them is
y = kx ← k is the constant of proportionality
To find k use the condition that y = 30 when x = 6
k =
=
= 5
y = 5x ← equation of proportion

notice, the next term is obtained by subtracting 40 from the "current" one, meaning, is an arithmetic sequence, with a "common difference" of -40.
Answer:
A. √500
Step-by-step explanation:
Since 500 = 5·100 = 5·10² you can move the 10² out of the √ as 10.
Hence 10√5 = √500
So we're using these rules:
√a·b = √a·√b
and of course
√a² = a (a>0)