The polynomial function has exactly 6 roots is f(x) = 7x⁶ + 3x³ + 12. Then the correct option is D.
<h3>What is Algebra?</h3>
Algebra is the study of mathematical symbols and the rule involves manipulating these mathematical symbols.
According to the fundamental theorem of algebra.
The polynomial function has only exactly 6 roots.
The roots are the value of the variables in the polynomial at which the value of the polynomial is zero.
If the degree of the variable is n then the number of the roots will be n or less than n.
If the number of the roots are 6, then the degree of the variable will be 6 in the polynomial.
Then the polynomial function has exactly 6 roots is f(x) = 7x⁶ + 3x³ + 12.
More about the Algebra link is given below.
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<span>There are several possible events that lead to the eighth mouse tested being the second mouse poisoned. There must be only a single mouse poisoned before the eighth is tested, but this first poisoning could occur with the first, second, third, fourth, fifth, sixth, or seventh mouse. Thus there are seven events that describe the scenario we are concerned with. With each event, we want two particular mice to become diseased (1/6 chance) and the remaining six mice to remain undiseased (5/6 chance). Thus, for each of the seven events, the probability of this event occurring among all events is (1/6)^2(5/6)^6. Since there are seven of these events which are mutually exclusive, we sum the probabilities: our desired probability is 7(1/6)^2(5/6)^6 = (7*5^6)/(6^8).</span>
Answer: 3 acute angles
and 2 acute angles, 1 obtuse angle
and 2 acute angles, 1 right angle
Step-by-step explanation:
the key is just to imagine it
also you have to know that right angle is 90° acute is less than 90° and obtuse is more than 90°
Answer:
idk but heres an equation
Step-by-step explanation:
Since
2
π
r
=
37.68
,
r
=
18.84
π
Area=
π
⋅
(
18.84
)
2
π
2
=
354.9456
3.14
= 113.04
5/7= -----------
0.714285
Convert the fraction to a decimal by dividing the numerator by the denominator.
6/10= 0.6
Convert the fraction to a decimal by dividing the numerator by the denominator.
16/20= 0.8
Convert the fraction to a decimal by dividing the numerator by the denominator.
9/10= 0.9
Convert the fraction to a decimal by dividing the numerator by the denominator.
