Answer: (4,12) or (1/3) simplified
Did you learn about cards? I think it is 5 I’m not sure
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
4/5=0.8
3/4=.75
So, 4/5 is greater than 3/4
Hope this helped
First, we calculated the discounted price which would have been paid by Keith. That is the product of 85% and $36,000.
($36,000) x (85%) = $30,600
Then, after negotiating to pay 9% off the sale price, he will only need to pay 91% of the sale price. The new price would be,
($30600) x (0.91) = $27846
Thus, Keith will only need to pay $27,846.
