Answer:
(Choice C) C Replace one equation with a multiple of itself
Step-by-step explanation:
Since system A has the equations
-3x + 12y = 15 and 7x - 10y = -2 and,
system B has the equations
-x + 4y = 5 and 7x - 10 y = -2.
To get system B from system A, we notice that equation -x + 4y = 5 is a multiple of -3x + 12y = 15 ⇒ 3(-x + 4y = 5) = (-3x + 12y = 15).
So, (-x + 4y = 5) = (1/3) × (-3x + 12y = 15)
So, we replace the first equation in system B by 1/3 the first equation in system A to obtain the first equation in system B.
So, choice C is the answer.
We replace one equation with a multiple of itself.
Answer: Choice B
(x-1)(x^3+x^2+5x+6)
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Explanation:
The 1 in the upper left box means that x = 1 is a root of the original polynomial.
So this means x-1 is a factor of the original polynomial.
This is because x = 1 leads to x-1 = 0 after subtracting 1 from both sides.
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The 0 in the last position of the bottom row shows we got a remainder of 0.
Getting a remainder 0 tells us that (x-1) is a factor of the polynomial. This synthetic division table confirms our initial guess.
The other values in that bottom row (1, 1, 5, 6) form coefficients to the polynomial 1x^3+1x^2+5x+6, or simply x^3+x^2+5x+6
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So we know that (x-1) and (x^3+x^2+5x+6) are factors
Meaning that,
x^4+4x^2+x-6 = (x-1)(x^3+x^2+5x+6)
You can confirm this by expanding out the right hand side (distribution rule).
Answer:
A
Step-by-step explanation:
Because if you simplify you get that
Answer: The length of the path = 157 inches { approx}
Step-by-step explanation:
Given: The length of the path = 4 meters
1 meter = 100 centimeters
So 4 meters = 400 centimeters
Also 1 in. ≈ 2.54 cm
Now, 
![=157.480314961\approx 157 \ \ \ \ \ \text{ [Rounded to the nearest inch.]}](https://tex.z-dn.net/?f=%3D157.480314961%5Capprox%20157%20%20%5C%20%5C%20%5C%20%5C%20%5C%20%5Ctext%7B%20%5BRounded%20to%20the%20nearest%20inch.%5D%7D)
Hence, the length of the path = 157 inches { approx}
