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kakasveta [241]
3 years ago
9

What Is the nth term ruld of the quadratic sequence -5,-4,-1,4,11,20,31

Mathematics
1 answer:
nordsb [41]3 years ago
3 0
-5   - 4    -1    4     11    20    31   subtracting:-
   1       3     5    7      9      11      subtractiing:-    
       2      2     2    2      2

second row is 2 so the rule will contain n^2

so we can write the series as n^2 - 6 , n^2 - 8 , n^2 - 10 etc

the  numbers are in arithmetical sequence with  a1 = 6 and d = -2

so nth term  of our sequence is n^2 - a1 + (n - 1)d = n^2 -2n - 6 + 2
  
  = n^2 - 2n - 4   Answer
 
 
 
     
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7 less than one fourth of a number equal to 7. what is the number? Explain how you got it.
Xelga [282]

We can set up this problem as an equation in order to determine the unknown number. Thus, x/4 - 7 = 7. Here, 7 less than one-fourth of the unknown number (x) is equal to 7. Add 7 to the other side, and you are left with x/4 = 14. Multiply both sides by 4 in order to eliminate the denominator of the fraction. Now, we are left with x = 56. When we put it all together, 1/4 of 56 = 14. And 7 less than 14 is 7. Hope this helps!

4 0
3 years ago
Amtrak s annual passenger revenue for the years 1980 2000 is modeled approximately by the formula R = -40 |x - 11| + 990 where R
Alecsey [184]

Answer:

<h2>1986, 1996</h2>

Step-by-step explanation:

       Given, Annual passenger revenue for the years 1980 to 2000 id=s modeled with the formula R=-40|x-11|+990.

Here, R is the annual revenue in millions of dollars, x is the number of years since January 1, 1980.

       Revenue in a year was $ 790 million.

So, R=790\\-40|x-11|+990=790\\40|x-11|=200\\|x-11|=5\\x-11=5\text{ (or) }x-11=-5\\x=16\text{ (or) }x=6

       So, after 6 yrs and 16 yrs from January 1, 1980, the Passenger revenue equals $ 790 million.

∴ Passenger revenue equals $ 790 million in 1986 and 1996.

3 0
3 years ago
The perimeter of a rectangular painting is 312 centimeters. If the width of the painting is 64 centimeters, what is its length?
Kay [80]
Perimeter= 2L + 2W
312 cm= 2L + 2(64)
312= 2L + 128
subtract 128 from both sides
184= 2L
divide both sides by 2
92 cm= L

ANSWER: The length is 92cm.

Hope this helps! :)
5 0
3 years ago
Draw algebra tile models to prove that 4+8x and 4(2x+1) are equivalent
irina [24]
4*(2x+1)=(2x+1)+(2x+1)+(2x+1)+(2x+1)=
2x+2x+2x+2x+1+1+1+1=
=8x+4
I hope this is ok !
4 0
4 years ago
If g(x) = 725, which of the following is true?
kotykmax [81]

Answer:

B and D

Step-by-step explanation:

The g(x) = 725 makes no sense to me....

however g(x)  =  -2x/(x-3)  can be solved by plugging x = value into function

a)   g(x)  =  -2x/(x-3)

     g(0)  =  -2(0)/(0-3)  = -3

             =    0/-3  = 0  ≠  -3      FALSE

b)  g(x)  =  -2x/(x-3)  = 1

    g(1)  =  -2(1)/(1-3)  = 1

           =  -2 / -2  =  1  equals 1   TRUE

c)  g(x)  =  -2x/(x-3)

    g(2) =  -2(2)/(2-3)   <  g(4)  =  -2(4)/(4-3)

           =   -4 / -1          <   -8 / 1

           =     4    is greater than   - 8       FALSE

d) g(x)  =  -2x/(x-3)    both values were already calcuated

   g(1)  =  -2(1)/(1-3)  = 1      <    g(2) =  -2(2)/(2-3)  =  4

                                  1     <        4      TRUE      

4 0
3 years ago
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