The roots of the polynomial <span><span>x^3 </span>− 2<span>x^2 </span>− 4x + 2</span> are:
<span><span>x1 </span>= 0.42801</span>
<span><span>x2 </span>= −1.51414</span>
<span><span>x3 </span>= 3.08613</span>
x1 and x2 are in the desired interval [-2, 2]
f'(x) = 3x^2 - 4x - 4
so we have:
3x^2 - 4x - 4 = 0
<span>x = ( 4 +- </span><span>√(16 + 48) </span>)/6
x_1 = -4/6 = -0.66
x_ 2 = 2
According to Rolle's theorem, we have one point in between:
x1 = 0.42801 and x2 = −1.51414
where f'(x) = 0, and that is <span>x_1 = -0.66</span>
so we see that Rolle's theorem holds in our function.
Answer:
x intercept at (7/3 , 0)
y intercept at (0,-3)
Step-by-step explanation:
9x-7y=21
we need to find x and y intercepts
To find x intercept , plug in 0 for y
9x - 7(0) = 21
9x = 21
divide by 9 on both sides
x= 21/ 9 = 7/3
so x intercept at (7/3 , 0)
To find y intercept , plug in 0 for x
9(0) - 7(y) = 21
-7y = 21
divide by -7 on both sides
y= -3
so y intercept at (0,-3)
Answer:
the system has a unique solution
Step-by-step explanation:
Start with an equation of a line in standard form,
Solve it for y to put it into the slope-intercept form:
The slope is -a/b.
Now look at your system of equations. The slope of the first equation is -a/b = -2/3. The slope of the second equation is -a/b = -6/5.
You have a system of two linear equations with two lines with different slopes, so the lines must intersect at a single point.
Answer: the system has a unique solution
Answer:
12 turkey burgers 9 hamburgers
Step-by-step explanation:
B hope that helps have good one
