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
Well $9.75 times 25 hours is $243.75.
Then you take that and multiply it by 10.
So she earned $2,437.5
<span>6 - 3(4 - 3x)
= 6 - 12 + 9x
= 9x - 6
hope it helps</span>
Answer:
C. each result is equally likely to occur
Step-by-step explanation:
There are only two options, heads or tails. And they both have a 50% chance.
Answer:
Height of the ball after 3 seconds = 27.4 feet.
Step-by-step explanation:
h(t) = -4.9t^2 + 22t + 5.5
h(3) means the height of the ball at time 3 seconds after the ball was thrown.
h(3) = -4.9(3)^2 + 22(3) + 5.5
= 27.4 feet
