Answer:
108 bottles
Step-by-step explanation:
4.536 divided by .042 equals 108
Answer:
b = - 5
Step-by-step explanation:
(k + a )(k + x) + 1 = k^2 + kx + ak + ax + 1
I think the way to solve this is to worry about the 36
k^s + 1 + ak should equal 36
We know that a = 2
k^2 + 1 + 2k = 36
k^2 + 2k + 1 - 36 = 0
k^2 + 2k - 35 = 0
(k + 7)(k - 5) = 0
k = -7 is the only acceptable answer. It is given that K < 0.
bx = kx + ax
b = k + a
b = - 7 + 2
b = - 5
Part (a)
<h3>Answer: y1 and y3 are perpendicular</h3>
This is because the two slopes 2 and -1/2 multiply to -1. Perpendicular slopes multiply to -1 assuming neither line is vertical or horizontal.
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Part (b)
Graph each line to see where they cross. The three points of intersection are
(0,4)
(2,-2)
(4,2)
The order of the points doesn't matter.
You could also form three systems of equations pairing up the equations, and solving each system. That way you can find the points of intersection. Graphing may be a better and faster route in my opinion. See the diagram below.
Answer: (a) 
(b) 
(c) 
(d) 
Step-by-step explanation:
Properties of exponents :
1) 
2) 
3) 
4) 
Now , we simplify the given expression using the above properties.
a) 
[By property (1)]
[∵ (+)(-)=(-)]
b) 
[By property (3)]
[∵ (-)(-)=(+)]
c) 
[By property (2)]
[By property (4)]
d) 
[By property (3)]