Round 5.2 down to 5 and Round 6.7 to 7.
5+7=12
1,234
One thousand
Two hundred
Thirty four
5x - 12y = 24 - it's a standard form of equation of a line
The slope-intercept form: y = mx + b
m - slope
b - y-intercept.
Convert the standard form to the slope-intercept form:
<em>subtract 5x from both sides</em>
<em>divide both sides by (-12)</em>
Answer: 
Answer:
x³ - (√2)x² + 49x - 49√2
Step-by-step explanation:
If one root is -7i, another root must be 7i. You can't just have one root with i. The other roos is √2, so there are 3 roots.
x = -7i is one root,
(x + 7i) = 0 is the factor
x = 7i is one root
(x - 7i) = 0 is the factor
x = √2 is one root
(x - √2) = 0 is the factor
So the factors are...
(x + 7i)(x - 7i)(x - √2) = 0
Multiply these out to find the polynomial...
(x + 7i)(x - 7i) = x² + 7i - 7i - 49i²
Which simplifies to
x² - 49i² since i² = -1 , we have
x² - 49(-1)
x² + 49
Now we have...
(x² + 49)(x - √2) = 0
Now foil this out...
x²(x) - x²(-√2) + 49(x) + 49(-√2) = 0
x³ + (√2)x² + 49x - 49√2
Answer: 7,895,164 rounded to the nearest 1,000 is 7,895,000
