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
Answer:
42.194988
Step-by-step explanation:
There are 42.194988 km in 1 marathon
47000 is the original salary (100%)
3% of 47000 is :
0.03 x 47000
= 1410
you would make $1410 more
Answer:
x=0.875
Step-by-step explanation:
3x-6=2-5x
Add 6 on both sides (6+2)
2x=8-5x
Add 5x on both sides
7x=8
Divide 7 from both sides
x=0.875
Answer:
D. -4
Step-by-step explanation:
-5 + -9 = -14
-14 + 10 = -4
