Multiplying the number by 1,000
Answer:
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Step-by-step explanation:
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Answer:
R = 118
Step-by-step explanation:
Given
Represent the polynomial with P and the divisor with D
![P = 19x^2 + 15x + 12](https://tex.z-dn.net/?f=P%20%3D%2019x%5E2%20%2B%2015x%20%2B%2012)
![D = x -2](https://tex.z-dn.net/?f=D%20%3D%20x%20-2)
Required
Determine the remainder
We start by equating the divisor to 0
i.e.
![D = 0](https://tex.z-dn.net/?f=D%20%3D%200)
![x - 2 = 0](https://tex.z-dn.net/?f=x%20-%202%20%3D%200)
![x = 2](https://tex.z-dn.net/?f=x%20%3D%202)
Substitute 2 for x in the polynomial.
This gives remainder (R)
![R = 19*2^2 + 15*2 + 12](https://tex.z-dn.net/?f=R%20%3D%2019%2A2%5E2%20%2B%2015%2A2%20%2B%2012)
![R = 19*4 + 15*2 + 12](https://tex.z-dn.net/?f=R%20%3D%2019%2A4%20%2B%2015%2A2%20%2B%2012)
![R = 76 + 30 + 12](https://tex.z-dn.net/?f=R%20%3D%2076%20%2B%2030%20%2B%2012)
![R = 118](https://tex.z-dn.net/?f=R%20%3D%20118)
<em>Hence, the remainder is 118</em>
Answer:
(28x+16)cm
Step-by-step explanation:
2(8x+2)+2(6x+6)
16x+4+12x+12
28x+16
Form equation
y = mx + c
y = (rise/run).x + c
y = (11-1 / 3--2)x + c
y = 2x + c
11 = 2(3) + c
Find c (y-intercept)
11 - 6 = c
c = 5
Final equation of line
y = 2x + 5
Substitute given possible x-values in to find y-values
y = 2(1) + 5 = 7 (1,7)
y = 2(2) + 5 = 9 (2,9)
Therefore d is correct