Let's say the numbers are "a" and "b"
thus
set the derivative to 0, and check the critical points, there's only one anyway
and do a first-derivative test, to see if it's a maximum
ANSWER
EXPLANATION
The boundary line passes through (-2,2) and (0,-2).
The slope of this line is
The y-intercept is , c=-2.
The slope-intercept form of this line is given by;
We substitute values to obtain;
Since the lower half-plane is shaded the required inequality is
Answer:
x = 4
Step-by-step explanation:
3x÷2=6
Multiply both sides by 2.
3x = 12
Divide by 3.
x = 4
Answer:
5
Step-by-step explanation:
In order to solve this problem, we need to use Pythagorem Theorem (a^2+b^2=c^2)
When using the pythagorem theorem the hypoteneuse would be the c^2 and the two other sides would be a and b (the order doesn't matter).
So, our formula would be:
4^2+3^2=c^2
Simplifies into:
25=c^2
In order to remove the exponent 2, we would have to square root both sides by 2. After doing so, you get the answer 5.
Hope this helps! :)
Answer:
4x² -29x +51
Step-by-step explanation:
Put x-3 where x is in the original function definition, then "simplify". I think you'll find it convenient to rewrite the original function definition first.
... g(x) = 4x² -5x = x(4x -5)
Substituting, we have
... g(x-3) = (x -3)(4(x -3) -5)
... = (x -3)(4x -17) . . . . . simplify right factor
... = 4x² -12x -17x +51
... g(x -3) = 4x² -29x +51
