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crimeas [40]
3 years ago
12

Re-write the quadratic function below in Standard Form y = -9(x + 1)(x – 7)

Mathematics
2 answers:
koban [17]3 years ago
6 0

Answer:

y=-9x²+54x+63

Step-by-step explanation:

y=-9(x²-7x+x-7)

y= -9(x²-6x-7)

y=-9x²+54x+63

scZoUnD [109]3 years ago
3 0
Y=-9(x^2-7x+x-7)
y=-9(x^2-6x-7)
y=-9x^2+6x+63
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A marching band is arranged in rows of 7 the first row has 3 band members and each row after the first has 2 more band members t
pav-90 [236]

Answer:

a_{n}= 1+2n and 63

Step-by-step explanation:

the question belongs to arithmetic sequence and a_{n} can be determined by the formula

a_{n}= a1 + d (n-1)

Let " a_{n} " represents the number of band members in the nth row

and 'd' represents the common difference.( as stated each row  has 2 more band members than the row before it)

therefore, d=2

'a1' represents first row that has three members. So, a1 = 3

->Rule for nth term will be:

a_{n}= 3 + 2(n-1)

a_{n}= 3 + 2n -2

a_{n}= 1+2n

-> In order to find total number of band members 'S_{7}'

Let S_{n} represent total number in n rows

We'll use the formula, i.e  S_{n} = n/1 (a_{1} +  a_{n})

where, n is the number of terms, a_{1} is the first term and a_{n} is the last term

So,

n=7

a_{7} = 1 + 2(7)= 15

=>S_{7} = 7/2 (3 + 15)

S_{7} = 63

The total number of band members are 63

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