General Idea:
The definite integral of a function f(x) from a to b is given below:
Here geometrically, the value of integral A is the area under the curve f(x) from x = a to x = b
Answer:
25 = 2.5m
Part 1:
Continuous
Part 2:
Number of months
Part 3:
amount remaining on the card
Step-by-step explanation:
Hopefully this helps you :)
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Answer:
I think its b
Step-by-step explanation:
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Answer:
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The rewritten equation is:
" - 3x² + 30 + 225 = 0 " ;
which is ultimately simplified to:
" x² − 10 − 75 = 0 " .
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The number of days is: "15 days" .
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Explanation:
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Given:
h(x) = - 3x</span>² <span>+ 30 + 225 ;
Rewrite as: " </span>- 3x² + 30 + 225 = 0 " ;
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Multiply EACH SIDE of the equation by "-1" ; to get rid of the "-3" ;
-1 * {- 3x² + 30 + 225 = 0} ;
to get: " 3x² − 30 <span>− 225 = 0" ;
Divide EACH SIDE of the equation by "3" ; to simplify; since:
"3", "30", and "225" are divisible by "3" ;
{</span>3x² − 30 − 225} / 3 = 0 / 3 ;
to get:
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" x² − 10 − 75 = 0 " ;
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Let us factor:
-15 + 5 = -10 ;
-15 * 5 = -75 ;
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Rewrite as:
(x − 15) (x + 5) = 0 ;
x = 15; and x = -5 ;
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The number of days cannot be "negative value"; so we stick with:
"x = 15 days"
___________________________________________________
Answer: The rewritten equation is:
" - 3x² + 30 + 225 = 0 " ;
which is ultimately simplified to:
" x² − 10 − 75 = 0 " .
___________________________________________________
The number of days is: "15 days" .
___________________________________________________
