Well, we know the last three numbers are:
3 (ones)
6 (tens)
7 (hundreds)
The next set is:
9 (thousands)
3 (ten thousands)
0 (hundred thousands)
And finally:
6 (millions)
5 (ten millions)
6 (hundred millions)
So we know that 5 is in ten millions.
Easy: There is a range of answers from 655,000 to 744,444 that round to 700,000. A single example would be 680,500.
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).
<span><span><span>
(2^2)</span>(x)</span>3</span>=<span>16
</span>Step 1: Multiply both sides by 3.
<span><span><span><span>(<span>2^2</span>)</span><span>(x)</span></span>3</span>=16
</span><span><span><span>(<span><span><span>(<span>2^2</span>)</span><span>(x)/</span></span>3</span>)</span>*<span>(3)</span></span>=<span><span>(16)</span>*<span>(3)</span></span></span><span><span><span>(<span>22</span>)</span><span>(x)</span></span>=48</span>
Step 2: Simplify both sides of the equation.
<span><span>4x</span>=48</span>
Step 3: Divide both sides by 4.
<span><span><span>4/x</span>4</span>=<span>48/4
</span></span><span>x=<span>12</span></span>
Answer:
y=8x+7
Step-by-step explanation:
Use the form y=mx+b
M= the slope
B= the y-intercept
y=8x+?
Since the y coordinate of (0,7) is 7
b=7
So y=8x+7
