Answer:
a) x₁ = 14
x₂ = - 6
b) x = 4
c) P(max ) = 4000000 $
Step-by-step explanation:
To find the axis of symmetry we solve the equation
a) -4x² + 32x + 336 = 0
4x² - 32x - 336 = 0 or x² - 8x - 84 = 0
x₁,₂ = [ -b ± √b² -4ac ]/2a
x₁,₂ = [ 8 ±√(64) + 336 ]/2
x₁,₂ = [ 8 ± √400 ]/2
x₁,₂ =( 8 ± 20 )/2
x₁ = 14
x₂ = -6
a) Axis of symmetry must go through the middle point between the roots
x = 4 is the axis of symmetry
c) P = -4x² + 32x + 336
Taking derivatives on both sides of the equation we get
P´(x) = - 8x + 32 ⇒ P´(x) = 0 - 8x + 32
x = 32/8
x = 4 Company has to sell 4 ( 4000 snowboard)
to get a profit :
P = - 4*(4)² + 32*(4) + 336
P(max) = -64 + 128 + 336
P(max) = 400 or 400* 10000 = 4000000
<span>the answer is 2.78 because it add up 10
</span>
Answer:Combine like terms
3
+
5
−
=
9
−
7
+
1
2
{\color{#c92786}{3x}}+5{\color{#c92786}{-x}}=9x-7+12
3x+5−x=9x−7+12
2
+
5
=
9
−
7
+
1
2
{\color{#c92786}{2x}}+5=9x-7+12
2x+5=9x−7+12
2
Add the numbers
3
Subtract the same term from both sides of the equation
4
Simplify
5
Subtract the same term from both sides of the equation
6
Simplify
7
Divide both sides of the equation by the same term
8
Simplify
HOPE THIS HELPS :)
Step-by-step explanation:
