Complex zeros exist in conjugate pairs so the fourth zero is 5 - 4i
So we have
P(x) = ( x - 3)(x + 13)(x - (5 + 4i))(x - (5 - 4i))
= (x - 3)(x + 13)( x - 5 - 4i)(x - 5 + 4i)
= (x^2 + 10x - 39)(x^2 - 5x + 4ix - 5x + 25 -20i - 4ix + 20i -16i^2)
= (x^2 + 10x - 39)(x^2 - 10x + 41)
= x^4 - 10x^3 + 41x^2 + 10x^3 - 100x^2 + 410x - 39x^2 + 390x - 1599
= x^4 - 98x^2 + 800x - 1599 Answer
The empirical rule says that approximately 68% of a normal distribution falls within one standard deviation of the mean. In this case, this would include all values of the variable in the interval
.
Answer:
can't
Step-by-step explanation:
we need to have the height
1024 can be factored into
<span>2(512) </span>
<span>=2^2(256) </span>
<span>=2^3(128) </span>
<span>=2^4(64) </span>
<span>=2^5(32) </span>
<span>=2^6(16) </span>
<span>=2^10 </span>
<span>Therefore, </span>
<span>√1024 = √(2^10) = 2^5 = 32</span>
Answer:
x=11
Step-by-step explanation:
10 less than three times a number is 23
3x-10=23
3x=33
x=11
