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miv72 [106K]
2 years ago
14

Given that -15 is a root of x² +mx +45 = 0 find the constant m​

Mathematics
1 answer:
o-na [289]2 years ago
5 0

Answer:

m = 18

Step-by-step explanation:

Given :

=> -15 is a root of the polynomial

=>  It is a zero to the solution.

Process :

Substitute -15 in place of x.

=> (-15)² + (-15)m + 45 = 0

=> 225 + 45 - 15m = 0

=> 15m = 270

=> m = 270/15

=> m = 18

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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
If you have 2 gallons of juice, how many quarts do you have
Alexeev081 [22]

Answer:

Yessssir OwO UnU UwU TwT =.= -.- :p :3 :c c: Ahhhh OOPS I GOT TOO DISTRACTED TO ANSWER UR QUESTION... if u have 2 gallons of juice u will have 8 quarts.

Step-by-step explanation:

dis is becuzzzz 4 quarts equal a gallon

so now times it by 2 by 2 because were doing 2 gallons not just one misssy :3

hope that helped bye byeessss UwU

6 0
3 years ago
A company orders 29 boxed lunches from a deli for $324.80. If each boxed lunch
UkoKoshka [18]

Answer:

Each boxed lunch costs $11.20

Step-by-step explanation:

29 boxed lunches = $324.80

divide by 29 on each one

1 boxed lunch = $11.20

3 0
2 years ago
Please answer as fast as you can! Ty for ur time :)
sasho [114]

Answer:

Step-by-step explanation:

555575;[kmjvgy

7 0
3 years ago
Read 2 more answers
The sales tax on a surfboard is $12. What is the percent of sales tax?
Rudik [331]
X= sales tax %

Step 1:
$240 * sales tax %= $12
240 * x= 12
240x=12
Divide both sides by 240
x= 0.05 (decimal of the %)


Convert to %:
Multiply decimal by 100 (or move decimal to the right two decimal places
=0.05 x 100
=5 %

The sales tax is 5%.

Hope this helps! :)


8 0
3 years ago
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