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NikAS [45]
3 years ago
11

Which value is needed to create a perfect square trinomial from the expression x2 + 8x + _____?

Mathematics
1 answer:
Alecsey [184]3 years ago
4 0
I believe it's +16, if you complete the square you'd have (x+4)^2 - 16 + a = 0 where a is the value you're looking for, so to make this correct you need a = 16
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The symphonic choir and the jazz choir are recording songs for an album. The album can be no more than 72 minutes long. The jazz
zimovet [89]

Answer:

The symphonic choir can record a maximum of 14 songs.

Step-by-step explanation:

We know that the album cannot be more than 72 minutes long, and the jazz choir records a total of 7 (3min) = 21  song minutes.

If we call c the number of songs the symphonic choir records , and each song is 3.5 minute long, then the song minutes for the symphonic choir are 3.5c; therefore, we have the inequality

3.5c+21\leq 72<em> (this says the song minutes for jazz choir plus song minutes for symphonic choice cannot exceed 72 minutes )</em>

We solve this inequality by subtracting 21 from both sides and then dividing by 3.5:

3.5c\leq 51

$c\leq \frac{51}{3.5} $

c\leq 14.47

The maximum integer value c can take is 14; therefore, the maximum number of songs the symphonic choir can record is 14 songs.

3 0
3 years ago
Given matrices S and T below, which statement is true?
harina [27]
The matrices are
S =(4 11                           T= ( -8 11
      -3  -8)                                 3  4 )
Inverse of a matrix is a matrix derived from another matrix such that if you pre- multiply it with the original matrix you get a unit matrix.
if we multiply S and T
 ST will be 
        ( 4 11    ×      (-8 11   = ( 1 0
          -3 -8)           -3 -4)         0 1)
and also TS
          ( -8 11      ×     (4 11  = ( 1 0
             -3 -4)            -3 -8)       0 1)
therefore, matrices S and T are inverses of each other because ST = TS= I 



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