Answer:
x = -4
Step-by-step explanation:
2x + 34 = 6 - 5x
Subtract 34 from both sides.
2x = -28 - 5x
Add 5x to both sides.
7x = -28
Divide both sides by 7.
x = -4
Proof:
2x + 34 = 6 - 5x
Substitute variable.
2(-4) + 34 = 6 - 5(-4)
Multiply.
-8 + 34 = 6 + 20
Add.
26 = 26
Answer:
Step-by-step explanation:
Answer:
maximum at (4, 9)
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
y = - 1(x - 4)² + 9 is in this form
with vertex = (4, 9)
• If a > 1 then vertex is a minimum
• If a < 0 then vertex is a maximum
here a = - 1 , hence vertex (4, 9) is a maximum
Answer:
(-4, -18).
Step-by-step explanation:
f(x = x^2 + 8x - 2 Completing the square on x^2 + 8x:-
= (x + 4)^2 - 16 - 2
= (x + 4)^2 - 18
- which is the vertex form of f(x)
The vertex of
(x - h)^2 + k is at (h, k)
So the vertex of f(x) is at (-4, -18)
