Answer:
A. -24
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a directly or proportional variation if it can be expressed in the form or
In this problem we have
For x=-3, y=12
Find the value of the constant of proportionality k
substitute the given values
so
The linear equation is equal to
what is the value of y when x=6?
substitute the value of x in the linear equation and solve for y
Answer:
a = 2, b = - 5
Step-by-step explanation:
Given
y = ax² + bx
is the measure of the slope at x = a
Differentiate each term with respect to x using the power rule
(a
) = na
= 2ax + b, hence
2ax + b = 3 at (2, - 2)
Substitute x = 2 into
4a + b = 3 → (1) and substitute x = 2 into y
4a + 2b = - 2 → (2)
Subtract ( 1) from (2)
b = - 2 - 3 = - 5
Substitute b = - 5 into (1)
4a - 5 = 3 ( add 5 to both sides )
4a = 8 ( divide both sides by 4 )
a = 2