Answer:
Step-by-step explanation:
The absolute maximum of a continuous function 
is where 
. Therefore, we must differentiate the function and then set 
and to determine the value of 
:
Therefore, when , the absolute maximum of the function is .
I've attached a graph to help you visually see this.
Answer:
31.85
Step-by-step explanation:
to subtract 30 percent from 45.50 just divide the percentage (30) by 100 subtract this value form 1 then multiply it by the initial value (45.50) so
final value = 45.50 x ( 1 - 
)
final value = 45.50 x ( 1 - 0.3)
final value = 45.50 x (0.7)
final value = 31.85
subtract 30% is the same as discount 30% this operation could be for example a 30% discount on 45.50
note: 0.3 can be found just by moving the decimal point 2 places to the left = 0.3 as a decimal
The number of messages Kaitlyn, Tony and Austin sent are 13, 18 and 72 messages respectively.
<h3>How to write and solve equation?</h3>
let
- Number of messages Kaitlyn sent = x
- Number of messages Tony sent = x + 5
- Number of messages Austin sent = 4(x + 5)
- Total messages = 103
103 = x + (x + 5) + 4(x + 5)
103 = x + x + 5 + 4x + 20
103 = 6x + 25
103 - 25 = 6x
78 = 6x
x = 78/6
x = 13
Number of messages each sent:
Number of messages Kaitlyn sent = x
= 13 messages
Number of messages Tony sent = x + 5
= 13 + 5
= 18 messages
Number of messages Austin sent = 4(x + 5)
= 4(13 + 5)
= 4(18)
= 72 messages
Learn more about equation:
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