Answer:
<h3>
It can be concluded that this polynomial has a degree of 2, so the equation x²+x−12=0 has exactly two root</h3>
Step-by-step explanation:
Given the quadratic polynomial x²+x−12, the highest power in the quadratic polynomial gives its degree. The degree of this quadratic polynomial is therefore 2. <u>This means that the equation has exactly two solutions. </u>
Let us determine the nature of the roots by factorizing the quadratic polynomial and finding the roots.
x²+x−12 = 0
x²+4x-3x−12 = 0
= (x²+4x)-(3x−12) = 0
= x(x+4)-3(x+4) = 0
= (x-3)(x+4) = 0
x-3 = 0 and x+4 = 0
x = 3 and -4
This shows that the quadratic polynomial has <u>two real roots</u>
<u>It can be concluded that this polynomial has a degree of 2, so the equation x²+x−12=0 has exactly two roots</u>
Answer:
A. -½
Step-by-step explanation:
In the Slope-Intercept Formula, <em>y = mx + b</em><em>,</em><em> </em><em>m</em><em> </em>represents the <em>rate</em><em> </em><em>of</em><em> </em><em>change</em><em> </em>[<em>slope</em>], so in this case, the slope is -½.
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Given that the roots of the equation x^2-6x+c=0 are 3+8i and 3-8i, the value of c can be obtained as follows;
taking x=3+8i and substituting it in our equation we get:
(3+8i)^2-6(3+8i)+c=0
-55+48i-18-48i+c=0
collecting the like terms we get:
-55-18+48i-48i+c=0
-73+c=0
c=73
the answer is c=73
We are 99% confident that the interval from 0.102 to 0.236 actually does contain the true value of the population proportion <span>p.</span>
Using complementary angles, <X is equal to <Z, so it's <Z = 35°.
