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zimovet [89]
4 years ago
11

Car Travels

Mathematics
1 answer:
Fantom [35]4 years ago
3 0
125=50(t)
Divide both sides by 50
t=2.5 hours
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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" . 
___________________________________________________<span>

Explanation:
______________________________________________
Given:

    h(x) = - 3x</span>² <span>+ 30 + 225  ;  

Rewrite as:  "  </span>- 3x² + 30 + 225 = 0 " ; 
__________________________________________________________
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: 
______________________________________
 " x² − 10 − 75  = 0 " ; 
 
______________________________________
 Let us factor:

-15 + 5 = -10 ; 

-15 * 5 = -75 ; 
_______________________________________
Rewrite as:

(x − 15) (x + 5) =  0 ;

x = 15;  and x = -5 ; 
_______________________________________
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" . 
___________________________________________________
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4 years ago
What is the sum of the first 35 numbers in the arithmetic series
kirill115 [55]

<span>The sum of the first 35 numbers in the arithmetic series </span>124 + 133 + 142 + 151 + ⋯ is 9695. The correct answer between all the choices given is the fourth choce or letter D. I am hoping that this answer has satisfied your query about and it will be able to help you.

8 0
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