Thet contradict each other, that's why both of them are incorrect.
<span>Suppose that a polynomial has four roots: s, t, u, and v. If the polynomial were evaluated at any of these values, it would have to be zero. Therefore, the polynomial can be written in this form.
p(x)(x - s)(x - t)(x - u)(x - v), where p(x) is some non-zero polynomial
This polynomial has a degree of at least 4. It therefore cannot be cubic.
Now prove Kelsey correct. We have already proved that there can be no more than three roots. To prove that a cubic polynomial with three roots is possible, all we have to do is offer a single example of that. This one will do.
(x - 1)(x - 2)(x - 3)
This is a cubic polynomial with three roots, and four or more roots are not possible for a cubic polynomial. Kelsey is correct.
Incidentally, if this is a roller coaster we are discussing, then a cubic polynomial is not such a good idea, either for a vertical curve or a horizontal curve. I hope this helps</span><span>
</span>
Answer:
(-3,-4)
Step-by-step explanation:
Answer:
x = 22
y = 35
Step-by-step explanation:
Because its an isosceles triangle, you know the base angles are equal so:
Solving:
subtract 2x from both sides
add 11 to both sides
Next, find the angle measures of the two base angles:
To find y, you know that the interior angles of the whole triangle add up to 180, so you have
solving,
subtract 110 from both sides
divide both sides by 2
Answer:
y = (-1/3)(x + 10)
Step-by-step explanation:
The slope of the new (perpendicular) line is the negative reciprocal of the slope of the given line, which appears to be 3. Thus, the perpendicular line has the slope -1/3.
Using the slope-intercept form y = mx + b, and substituting the givens, we obtain:
y = mx + b => -6 = (-1/3)(8) + b, or
-6 = -8/3 + b. We must solve for the y-intercept, b:
Multiplying all three terms by 3 removes the fraction:
-18 = -8 + 3b. Thus, -10 = 3b, and so b must be -10/3.
The desired equation is
y = (-1/3)x - 10/3, or
y = (-1/3)(x + 10)
25.69 + .75= $26.44
Hope this helps.
