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Shkiper50 [21]
4 years ago
9

If you vertically stretch the exponential function, f(x) = 2^x, by a factor of 4, what is the equation of the new function?

Mathematics
1 answer:
Tems11 [23]4 years ago
6 0

Answer:

f( x ) = 4( 2^x )

Step-by-step explanation:

If we vertically stretch a graph by a factor of 4, the " exponential slope " extending from the x - axis, should increase by a factor of 4 as well.

Therefore, the previous function is expressed by the following ...

f( x ) = 2^x ... then this new function should be -

f( x ) = 4( 2^x )

The equation of this new function is f( x ) = 4( 2^x )

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Need an answer thanks in advance​!
slamgirl [31]

Answer:

1806 seats.

Step-by-step explanation:

From the question given above, the following data were obtained:

Row 1 = 24 seats

Row 2 = 27 seats

Row 3 = 30 seats

Total roll = 28

Total number of seat =?

From the above data, we can liken the roll to be in arithmetic progress.

Also, we are asked to determine the total number of seats in the theater.

Thus the sum of the sequence can be written as:

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24 + 27 + 30 +...

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First term (a) = 24

Common difference (d) = 2nd term – 1st term

Common difference (d) = 27 – 24 = 3

Number of term (n) = 28

Sum of the 28th term (S₂₈) =?

Sₙ = n/2 [2a + (n –1)d]

S₂₈ = 28/2 [2×24 + (28 –1)3]

S₂₈ = 14 [48 + 27×3]

S₂₈ = 14 [48 + 81]

S₂₈ = 14 [129]

S₂₈ = 1806

Thus, the number of seats in the theater is 1806.

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