Answer:
a) 3rd degree
b) negative
c) 2
d) zero
e) the graph approaches +∞, -∞
Step-by-step explanation:
a) because two turns
b) because the function does not approach y=+∞ as x approaches x=+∞
c) the graph switches direction twice
d) from observation
e) it appears so, and is the nature of polynomials
Answer:
Step-by-step explanation:
The x intercepts are 0 and
1000 - 2x = 0 given condition
1000 = 2x Divide by 2
500 = x
So the two intercepts are 0,0 and 500,0
The intercepts mean that for (0,0) the phone company hasn't charged anything, yet. For 500,0 the phone company can sell a single phone -- not when they cost 500 dollars apiece.
The answer to the B part is completing the square.
r(x) = - 2x^2 + 1000x
r(x) = -2(x^2 - 500x )
1/2 ( 500) = 250
250^2 is what you put inside the bracket's to complete the square.
r(x) = - 2(x^2 - 500x + 250^2) + 2*250^2
r(x) = -2(x - 250)^2 + 2*62500
r(x) = - 2(x - 250)^2 + 125000
They should sell their phones at 250 dollars a piece. The total revenue is 125000. Your graph shows exactly the same thing.
Answer:
B:
4 units right and six units up
Answer: y + 2 = 
( x - 4 )
Step-by-step explanation:
The equation of a line in point - slope form is given as ;
y - 
= m (x - 
)
= 4
= -2
m =
Substitute the values into the equation , we have
y - (-2) = ( x - 4 )
y + 2 = ( x - 4 )
Which could be written as :
y + 2 = y + 2 = x + 2
Answer:
(2,-3)(6,5)
Step-by-step explanation:
We can use substitution to get the equation: x^2-6x+5 = 2x-7
Solve:
x^2-6x+5 = 2x-7
x^2 = 8x-12
x^2-8x+12 = 0 (we now have a polynomial)
(x-6)(x-2) = 0 (set each equation to equal 0 and solve)
x-6 = 0 --> x=6
x-2 = 0 --> x=2
To get the Y coordinates:
y=2(2)-7 --> y = -3
y = 2(6)-7 --> y = 5
Check work:
5 = 6^2-6(6)+5 --> 5 = 36-36 +5 --> 5=5
-3 = 2^2-6(2)+5 --> -3 = 4-12+5 --> -3=-3
