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Levart [38]
2 years ago
11

Is x+3 a factor of x^4-2x^3-15x^2-14x-12

Mathematics
1 answer:
Nookie1986 [14]2 years ago
7 0
Use synthetic division here, if you know it.  Use -3 as divisor and use the coefficients 1  -2  -15  -14  -12.  If there is no remainder, then x+3 is a factor of the given polynomial.

      _____________________
-3  /  1   -2   -15   -14   -12
             -3     15      0    42
      ---------------------------------
         1   -5      0    -14    30

There's a non-zero remainder:  30.  This means that the polynomial has the value 30 when x = -3, and that (x+3) is NOT a factor of the poly.
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Item 10 Find the amount of time. I=$450, P=$2400, r=7.5%
Alex787 [66]
The answer is:  "2.5 years" . 
___________________________________________________
  Note:   I = P * r * t  ;    { " Interest = Principal * rate * time "} ; 

          →     Solve for "t" {"time", in years} ;  

Divide each side of the equation by "{P * r}"  ;  
   to isolate "t" on one side of the equation ;

→  I / (P * r)  = {P * r * t) / (P * r} ; 

to get:  " I / (P * r) = t " ;  

  ↔  t = I / (P * r) ; 

Given:  I = $450 ;  
  
            <span>P = $2400 ; 

            r = 7.5% = 7.5/100 = 0.075 ; 

Plug in these values into the formula to solve for the time, "t" :

        </span>→  t  =  I  /  (P  *  r )   ;  

                 =  $450  /   (<span>$2400 * 0.075) ;

                 =  </span>$450  /   ($2400 * 0.075) ;

                 =  $450 / $180 ; 

                 =  $45 / $18 ; 

                 =  ($45 ÷ 9) / ($18 ÷ 9) 

                 =  $5 / $2 ; 

                 =  2.5  ; 

        →  t  =  2.5 years.
_______________________________________________________
The answer is:  "2.5 years" . 
_______________________________________________________
7 0
3 years ago
An adult soccer league requires a ratio of at least 2 women per 7 men on the roster. If 14 men are on the roster, how many women
Snezhnost [94]

Answer:

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Step-by-step explanation:

Ratio of

Women to men = 2 : 7

Number of women needed to maintain the ratio if there are 14 men on the roster :

The minimum number of women required :

(2 : 7) * number of men in roster

(2 / 7) * 14

2 * 2 = 4 women

Atleast 4 women are required to main the ratio

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2 years ago
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Molodets [167]
The answer is 46 miles per hour
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Answer:

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Step-by-step explanation:

4 0
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