Answer:
maybe its not the right explanation cuz it doesnt make sense to me
Step-by-step explanation:
Answer:
A) - Quartic polynomial
- has four roots
- roots are; f(x) = (x + 5i)(x - 5i)(x + 2)(x - 2)
B) - Cubic polynomial
- has 3 roots
- roots are; f(x) = (x - 5)²(x + 5)
Step-by-step explanation:
A) f(x) = x⁴ + 21x² − 100
The highest power in this polynomial is 4 and thus, it is called a quartic polynomial. This means that it will have 4 roots.
Factorizing this polynomial gives;
f(x) = (x² + 25)(x² - 4)
Equating to zero, we can find the roots. Thus, the roots are;
x = 5i
x = -5i
x = 2
x = -2
Thus, the completely factorized polynomial is;
f(x) = (x + 5i)(x - 5i)(x + 2)(x - 2)
B) f(x) = x³ − 5x² − 25x + 125
The highest power in this polynomial is 3. It is therefore a cubic polynomial with 3 roots.
Factorizing this polynomial gives;
f(x) = (x² - 25)(x - 5)
Equating to zero and Factorizing gives;
x = 5
x = -5
x = 5
Thus, completely factorized with the roots is;
f(x) = (x - 5)²(x + 5)
Since there are 60 minutes in an hour, just take 345 and multiply by 60 which will give you 20,700. So your final answer would be 20,700 ft/hr
Answer:
The answer is 5 students taking English and Math but not History
Step-by-step explanation:
The total students are 28 which are divided into 5 possible groups with no students taking either English only or History only:
- Taking Math only
- Taking English and Math but not History
- Taking Math and History but not English
- Taking English and History but not Math
- Taking triple subjects
The number of students in group 3 is 6. Hence, the total number in group 1, 2, 4 and 5 is: 28 - 6 = 22
Also, the number of students in group 4 is five times the number in group 5, therefore: group 2 + group 5 = 6 times group 5
Additionally, the number of students in group 1 equals that in group 2.
Hence, the equation is: 6 x group 5 + 2 x group 2 = 22 => group 2 = 11 - 3 x group 5 => group 2 = 5 because group 5 is an even number and non-zero, it must be 2.
