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HACTEHA [7]
3 years ago
5

The graph of f*x)=2^(x+3) shifts 10 units to the right when it is replaced with the graph of f(x)=2^(x-k). What is the value of

k?
Mathematics
1 answer:
kifflom [539]3 years ago
8 0

Answer:

7

Step-by-step explanation:

f(x) = 2^(x + 3)

Shifted 10 units to the right:

f(x) = 2^(x + 3 − 10)

f(x) = 2^(x − 7)

Therefore, k = 7.

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What is the remainder when 19x^2 + 15x + 12 is divided by x - 2?
Aleksandr-060686 [28]

Answer:

R = 118

Step-by-step explanation:

Given

Represent the polynomial with P and the divisor with D

P = 19x^2 + 15x + 12

D = x -2

Required

Determine the remainder

We start by equating the divisor to 0

i.e.

D = 0

x - 2 = 0

x = 2

Substitute 2 for x in the polynomial.

This gives remainder (R)

R = 19*2^2 + 15*2 + 12

R = 19*4 + 15*2 + 12

R = 76 + 30 + 12

R = 118

<em>Hence, the remainder is 118</em>

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