Answer:
1) r >-5 2) x >9
Step-by-step explanation:
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Work out the total change:
76 - 46 = 30
Divide this by the number of days:
30/5 = 6
As the temperature decreased, it would have a minus value in front of it
Thus, the answer is option B
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Answer:
The perimeter is 56mm
Step-by-step explanation:
N/B: the figure is not given, nevertheless we can infer that the figure is a triangular figure given that the lengths provided is just three.
So the perimeter is the distance around the object.
Perimeter =20+20+16= 56mm
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)
Answer:
4^3 and 8^2
Step-by-step explanation:
