The cost will be same for one session. The cost will be $128.
Step-by-step explanation:
Given,
Initial consultation charges for Plan One = $36
Per session fee = $92
Let,
x be the number of sessions.
O(x) = 92x+36
Initial consultation charges for Plan Two = $86
Per session fee = $42
T(x) = 42x+86
For same cost;
O(x) = T(x)

Dividing both sides by 50

Putting x=1 in T(x)

Putting x=1 in O(x)

The cost will be same for one session. The cost will be $128.
Keywords: function, division
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Answer:
Step-by-step explanation:
1k +9 > 30
1k +9 -9 > 30 -9
1k > 21
k > 21
Answer:
-8+5√2 and -8-5√2
Step-by-step explanation:
Given the expression x² + 16x + 14 = 0
USing the general formulas
x = -16±√16²-4(14)/2
x = -16±√256-56/2
x = -16±√200/2
x = -16±10√2/2
x = -8±5√2
Hence the required solutions are -8+5√2 and -8-5√2
Answer:
The midpoint is ( 7,5)
Step-by-step explanation:
To find the x coordinate of the midpoint, add the x coordinate of the endpoints and divide by 2
( 4+10)/2 = 14/2 = 7
To find the y coordinate of the midpoint, add the y coordinate of the endpoints and divide by 2
(8+2)/2 = 10/2 = 5
The midpoint is ( 7,5)