1a) Possible rational roots will be of the form
±{divisor of 10}/{divisor of 4}
Divisors of 10 are {1, 2, 5, 10}
Divisors of 4 are {1, 2, 4}
Then possible rational roots are
{±1/4, ±1/2, ±1, ±5/4, ±2, ±5/2, ±5, ±10}
1b) Your answer is correct.
2) One additional root will be the conjuate of the given complex root.
5 -3i
3) If one root is 5 -√7, another will be 5 +√7. Then your polynomial is
P(x) = (x -(5 -√7))*(x -(5 +√7)) = (x -5)^2 -(√7)^2
P(x) = x^2 -10x +18
(15/100) then multiply that with 9.79 and you get $1.4685, which is the answer
Are you trying to find n?
Answer:
y = -2x - 3
Step-by-step explanation:
Slope intercept form of line is
y = mx + c
where
m is the slope and c is the y intercept
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Given that line
y = −2x − 4
comparing it with y = mx + c
m = -2 and c = -4
Thus, slope of this line is -2
we also know that when two lines are parallel then their slopes are same
thus, slope of required line will be m = -2
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now let the equation of line passing through (-1,-1) be
y = mx + c
we have found m to be -2
using this in above equation we have
y = -2x + c
since (-1,-1) passes through the above line using x = -1 and y = -1
we have
-1 = -2*-1 + c
-1 = 2 + c
c = -1 - 2 = -3
using c = -3 in y = -2x + c
we have
equation of line as
y = -2x - 3 in slope intercept form.
Hello!
<u>Number 22
</u>
: We'd plot the first point at 0 since there is no stated y-intercept. Next, we'd use our slope to determine where to plot the next point, and that would create our line. According to the problem, our slope is
, which automatically tells us that the slope would be going downwards because it's negative.
To plot our point, use the slope while going down and across from our y-intercept, which is 0. Go down 1, and over 2.
Your points should be at (0, 0) and (-1, 2)
<u /><u>Number 23:</u> This one will be a bit trickier since the equation is not in slope-intercept form. First, let's convert it to slope-intercept form.
Flip some of those numbers around to get our equation in slope-intercept form:
Now to graph this, we do the same as we did for the last problem. Plot our first point at (0, 2), since 2 is our y-intercept. Afterwards, go up 2 and over 3, then plot the other point.
Your points should be at (0, 2) and (4, 3)